%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:22:39 AM UTC 2026
% Result : Unsatisfiable 120.50s 18.11s
% Output : CNFRefutation 120.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(e_0_then_e_1,axiom,
next('e$u0','e$u1') ).
cnf(e_4_then_e_5,axiom,
next('e$u4','e$u5') ).
cnf(e_1_greater_e_0,axiom,
greater('e$u1','e$u0') ).
cnf(e_2_greater_e_0,axiom,
greater('e$u2','e$u0') ).
cnf(e_3_greater_e_0,axiom,
greater('e$u3','e$u0') ).
cnf(e_4_greater_e_0,axiom,
greater('e$u4','e$u0') ).
cnf(e_3_greater_e_2,axiom,
greater('e$u3','e$u2') ).
cnf(e_4_greater_e_2,axiom,
greater('e$u4','e$u2') ).
cnf(e_5_greater_e_2,axiom,
greater('e$u5','e$u2') ).
cnf(cycle2,axiom,
( cycle(X0,'e$u4')
| cycle(X0,'e$u3')
| cycle(X0,'e$u2')
| cycle(X0,'e$u1')
| cycle(X0,'e$u0')
| ~ 'group$uelement'(X0) ) ).
cnf(cycle3,axiom,
cycle('e$u5','e$u0') ).
cnf(cycle4,axiom,
( equalish(X1,X4)
| ~ next(X3,X4)
| ~ greater(X1,'e$u0')
| ~ next(X0,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ) ).
cnf(cycle5,axiom,
( ~ greater(X1,X4)
| ~ greater(X2,X0)
| ~ next(X2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X2,'e$u0')
| ~ cycle(X0,X1) ) ).
cnf(cycle6,axiom,
( ~ greater(X1,X0)
| ~ product(X0,'e$u1',X1)
| ~ cycle(X0,'e$u0') ) ).
cnf(cycle7,axiom,
( equalish(X2,X3)
| ~ next(X0,X3)
| ~ greater(X1,'e$u0')
| ~ product(X0,'e$u1',X2)
| ~ cycle(X0,X1) ) ).
cnf(element_1,axiom,
'group$uelement'('e$u1') ).
cnf(element_2,axiom,
'group$uelement'('e$u2') ).
cnf(element_3,axiom,
'group$uelement'('e$u3') ).
cnf(element_4,axiom,
'group$uelement'('e$u4') ).
cnf(element_5,axiom,
'group$uelement'('e$u5') ).
cnf(e_1_is_not_e_2,axiom,
~ equalish('e$u1','e$u2') ).
cnf(e_1_is_not_e_3,axiom,
~ equalish('e$u1','e$u3') ).
cnf(e_1_is_not_e_4,axiom,
~ equalish('e$u1','e$u4') ).
cnf(e_1_is_not_e_5,axiom,
~ equalish('e$u1','e$u5') ).
cnf(e_2_is_not_e_1,axiom,
~ equalish('e$u2','e$u1') ).
cnf(e_2_is_not_e_3,axiom,
~ equalish('e$u2','e$u3') ).
cnf(e_2_is_not_e_4,axiom,
~ equalish('e$u2','e$u4') ).
cnf(e_2_is_not_e_5,axiom,
~ equalish('e$u2','e$u5') ).
cnf(e_3_is_not_e_1,axiom,
~ equalish('e$u3','e$u1') ).
cnf(e_3_is_not_e_2,axiom,
~ equalish('e$u3','e$u2') ).
cnf(e_3_is_not_e_4,axiom,
~ equalish('e$u3','e$u4') ).
cnf(e_3_is_not_e_5,axiom,
~ equalish('e$u3','e$u5') ).
cnf(e_4_is_not_e_1,axiom,
~ equalish('e$u4','e$u1') ).
cnf(e_4_is_not_e_2,axiom,
~ equalish('e$u4','e$u2') ).
cnf(e_4_is_not_e_3,axiom,
~ equalish('e$u4','e$u3') ).
cnf(e_4_is_not_e_5,axiom,
~ equalish('e$u4','e$u5') ).
cnf(e_5_is_not_e_1,axiom,
~ equalish('e$u5','e$u1') ).
cnf(e_5_is_not_e_2,axiom,
~ equalish('e$u5','e$u2') ).
cnf(e_5_is_not_e_3,axiom,
~ equalish('e$u5','e$u3') ).
cnf(e_5_is_not_e_4,axiom,
~ equalish('e$u5','e$u4') ).
cnf(product_total_function1,axiom,
( product(X0,X1,'e$u5')
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0) ) ).
cnf(product_total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ) ).
cnf(qg3,negated_conjecture,
( product(X0,X2,X3)
| ~ product(X2,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c0,plain,
next('e$u0','e$u1'),
inference(clausification,[status(esa)],[e_0_then_e_1]) ).
cnf(c4,plain,
next('e$u4','e$u5'),
inference(clausification,[status(esa)],[e_4_then_e_5]) ).
cnf(c5,plain,
greater('e$u1','e$u0'),
inference(clausification,[status(esa)],[e_1_greater_e_0]) ).
cnf(c6,plain,
greater('e$u2','e$u0'),
inference(clausification,[status(esa)],[e_2_greater_e_0]) ).
cnf(c7,plain,
greater('e$u3','e$u0'),
inference(clausification,[status(esa)],[e_3_greater_e_0]) ).
cnf(c8,plain,
greater('e$u4','e$u0'),
inference(clausification,[status(esa)],[e_4_greater_e_0]) ).
cnf(c14,plain,
greater('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_greater_e_2]) ).
cnf(c15,plain,
greater('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_greater_e_2]) ).
cnf(c16,plain,
greater('e$u5','e$u2'),
inference(clausification,[status(esa)],[e_5_greater_e_2]) ).
cnf(c21,plain,
( ~ 'group$uelement'(X0)
| cycle(X0,'e$u4')
| cycle(X0,'e$u2')
| cycle(X0,'e$u0')
| cycle(X0,'e$u3')
| cycle(X0,'e$u1') ),
inference(clausification,[status(esa)],[cycle2]) ).
cnf(c22,plain,
cycle('e$u5','e$u0'),
inference(clausification,[status(esa)],[cycle3]) ).
cnf(c23,plain,
( ~ next(X1,X3)
| ~ next(X4,X0)
| ~ cycle(X4,X2)
| ~ greater(X2,'e$u0')
| equalish(X2,X3)
| ~ cycle(X0,X1) ),
inference(clausification,[status(esa)],[cycle4]) ).
cnf(c24,plain,
( ~ greater(X2,X3)
| ~ next(X2,X4)
| ~ cycle(X4,X1)
| ~ cycle(X3,X0)
| ~ cycle(X2,'e$u0')
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[cycle5]) ).
cnf(c25,plain,
( ~ greater(X1,X0)
| ~ cycle(X0,'e$u0')
| ~ product(X0,'e$u1',X1) ),
inference(clausification,[status(esa)],[cycle6]) ).
cnf(c26,plain,
( ~ greater(X2,'e$u0')
| ~ product(X0,'e$u1',X3)
| equalish(X3,X1)
| ~ cycle(X0,X2)
| ~ next(X0,X1) ),
inference(clausification,[status(esa)],[cycle7]) ).
cnf(c27,plain,
'group$uelement'('e$u1'),
inference(clausification,[status(esa)],[element_1]) ).
cnf(c28,plain,
'group$uelement'('e$u2'),
inference(clausification,[status(esa)],[element_2]) ).
cnf(c29,plain,
'group$uelement'('e$u3'),
inference(clausification,[status(esa)],[element_3]) ).
cnf(c30,plain,
'group$uelement'('e$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c31,plain,
'group$uelement'('e$u5'),
inference(clausification,[status(esa)],[element_5]) ).
cnf(c32,plain,
~ equalish('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_is_not_e_2]) ).
cnf(c33,plain,
~ equalish('e$u1','e$u3'),
inference(clausification,[status(esa)],[e_1_is_not_e_3]) ).
cnf(c34,plain,
~ equalish('e$u1','e$u4'),
inference(clausification,[status(esa)],[e_1_is_not_e_4]) ).
cnf(c35,plain,
~ equalish('e$u1','e$u5'),
inference(clausification,[status(esa)],[e_1_is_not_e_5]) ).
cnf(c36,plain,
~ equalish('e$u2','e$u1'),
inference(clausification,[status(esa)],[e_2_is_not_e_1]) ).
cnf(c37,plain,
~ equalish('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_is_not_e_3]) ).
cnf(c38,plain,
~ equalish('e$u2','e$u4'),
inference(clausification,[status(esa)],[e_2_is_not_e_4]) ).
cnf(c39,plain,
~ equalish('e$u2','e$u5'),
inference(clausification,[status(esa)],[e_2_is_not_e_5]) ).
cnf(c40,plain,
~ equalish('e$u3','e$u1'),
inference(clausification,[status(esa)],[e_3_is_not_e_1]) ).
cnf(c41,plain,
~ equalish('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_is_not_e_2]) ).
cnf(c42,plain,
~ equalish('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_is_not_e_4]) ).
cnf(c43,plain,
~ equalish('e$u3','e$u5'),
inference(clausification,[status(esa)],[e_3_is_not_e_5]) ).
cnf(c44,plain,
~ equalish('e$u4','e$u1'),
inference(clausification,[status(esa)],[e_4_is_not_e_1]) ).
cnf(c45,plain,
~ equalish('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_is_not_e_2]) ).
cnf(c46,plain,
~ equalish('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_is_not_e_3]) ).
cnf(c47,plain,
~ equalish('e$u4','e$u5'),
inference(clausification,[status(esa)],[e_4_is_not_e_5]) ).
cnf(c48,plain,
~ equalish('e$u5','e$u1'),
inference(clausification,[status(esa)],[e_5_is_not_e_1]) ).
cnf(c49,plain,
~ equalish('e$u5','e$u2'),
inference(clausification,[status(esa)],[e_5_is_not_e_2]) ).
cnf(c50,plain,
~ equalish('e$u5','e$u3'),
inference(clausification,[status(esa)],[e_5_is_not_e_3]) ).
cnf(c51,plain,
~ equalish('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_is_not_e_4]) ).
cnf(c52,plain,
( product(X0,X1,'e$u3')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0)
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u5')
| product(X0,X1,'e$u1')
| product(X0,X1,'e$u2') ),
inference(clausification,[status(esa)],[product_total_function1]) ).
cnf(c53,plain,
( equalish(X3,X2)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_total_function2]) ).
cnf(c54,plain,
( equalish(X3,X1)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_right_cancellation]) ).
cnf(c55,plain,
( equalish(X3,X0)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_left_cancellation]) ).
cnf(c56,plain,
( product(X3,X0,X2)
| ~ product(X3,X1,X0)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg3]) ).
cnf(d0,plain,
( product('e$u4',X0,'e$u5')
| product('e$u4',X0,'e$u4')
| product('e$u4',X0,'e$u3')
| product('e$u4',X0,'e$u2')
| product('e$u4',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c30]) ).
cnf(d1,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d0,c27]) ).
cnf(d2,plain,
( ~ product('e$u1','e$u1',X0)
| product('e$u4','e$u1',X0)
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d1,c56]) ).
cnf(d3,plain,
( product('e$u1',X0,'e$u5')
| product('e$u1',X0,'e$u4')
| product('e$u1',X0,'e$u3')
| product('e$u1',X0,'e$u2')
| product('e$u1',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c27]) ).
cnf(d4,plain,
( product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d3,c27]) ).
cnf(d5,plain,
( ~ product(X0,'e$u1','e$u1')
| equalish(X0,'e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d1,c55]) ).
cnf(d6,plain,
( product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| equalish('e$u1','e$u4') ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c34,d6]) ).
cnf(d8,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
( ~ product('e$u4','e$u1',X1)
| equalish(X1,'e$u5')
| ~ cycle('e$u4',X0)
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[c26,c4]) ).
cnf(d13,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| ~ cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d12,c5]) ).
cnf(d14,plain,
( cycle('e$u4','e$u4')
| cycle('e$u4','e$u3')
| cycle('e$u4','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[c21,c30]) ).
cnf(d15,plain,
( equalish(X2,'e$u1')
| ~ cycle(X0,X2)
| ~ cycle(X1,'e$u0')
| ~ greater(X2,'e$u0')
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[c23,c0]) ).
cnf(d16,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u4',X0)
| ~ cycle('e$u5','e$u0')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d15,c4]) ).
cnf(d17,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u4',X0)
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[c22,d16]) ).
cnf(d18,plain,
( equalish('e$u4','e$u1')
| ~ cycle('e$u4','e$u4') ),
inference(resolution,[status(thm)],[d17,c8]) ).
cnf(d19,plain,
~ cycle('e$u4','e$u4'),
inference(resolution,[status(thm)],[c44,d18]) ).
cnf(d20,plain,
( cycle('e$u4','e$u3')
| cycle('e$u4','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d19,d14]) ).
cnf(d21,plain,
( equalish('e$u2','e$u1')
| ~ cycle('e$u4','e$u2') ),
inference(resolution,[status(thm)],[d17,c6]) ).
cnf(d22,plain,
~ cycle('e$u4','e$u2'),
inference(resolution,[status(thm)],[c36,d21]) ).
cnf(d23,plain,
( cycle('e$u4','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( equalish('e$u3','e$u1')
| ~ cycle('e$u4','e$u3') ),
inference(resolution,[status(thm)],[d17,c7]) ).
cnf(d25,plain,
~ cycle('e$u4','e$u3'),
inference(resolution,[status(thm)],[c40,d24]) ).
cnf(d26,plain,
( cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X2,X0)
| ~ cycle('e$u5',X1)
| ~ greater('e$u4',X2)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[c24,c4]) ).
cnf(d28,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u4')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d27,c8]) ).
cnf(d29,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u4')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d28]) ).
cnf(d30,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d29,c15]) ).
cnf(d31,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u3')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d27,c7]) ).
cnf(d32,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u3')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d31]) ).
cnf(d33,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d32,c15]) ).
cnf(d34,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u2')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d27,c6]) ).
cnf(d35,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u2')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d34]) ).
cnf(d36,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d35,c15]) ).
cnf(d37,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u1')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d27,c5]) ).
cnf(d38,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u1')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d37]) ).
cnf(d39,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u1') ),
inference(resolution,[status(thm)],[d38,c15]) ).
cnf(d40,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c21,c28]) ).
cnf(d41,plain,
( ~ product('e$u2','e$u1','e$u5')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c16]) ).
cnf(d42,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| ~ product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d41,d40]) ).
cnf(d43,plain,
( ~ product('e$u2','e$u1','e$u4')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c15]) ).
cnf(d44,plain,
( ~ product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1') ),
inference(resolution,[status(thm)],[d40,d43]) ).
cnf(d45,plain,
( ~ product('e$u2','e$u1','e$u3')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c14]) ).
cnf(d46,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| ~ product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d45,d40]) ).
cnf(d47,plain,
( ~ product(X0,'e$u1','e$u2')
| equalish(X0,'e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d11,c55]) ).
cnf(d48,plain,
( product('e$u2',X0,'e$u5')
| product('e$u2',X0,'e$u4')
| product('e$u2',X0,'e$u3')
| product('e$u2',X0,'e$u2')
| product('e$u2',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c28]) ).
cnf(d49,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d48,c27]) ).
cnf(d50,plain,
( ~ product('e$u1','e$u1',X0)
| product('e$u2','e$u1',X0)
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d49,c56]) ).
cnf(d51,plain,
( ~ product(X0,'e$u1','e$u1')
| equalish(X0,'e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d49,c55]) ).
cnf(d52,plain,
( product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| equalish('e$u1','e$u2') ),
inference(resolution,[status(thm)],[d51,d4]) ).
cnf(d53,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c32,d52]) ).
cnf(d54,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d53,d50]) ).
cnf(d55,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d54,d50]) ).
cnf(d56,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d55,d50]) ).
cnf(d57,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d56,d50]) ).
cnf(d58,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| equalish('e$u2','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d57,d47]) ).
cnf(d59,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c38,d58]) ).
cnf(d60,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d59,d46]) ).
cnf(d61,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d60,d39]) ).
cnf(d62,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d61,d26]) ).
cnf(d63,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d62,d36]) ).
cnf(d64,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d63,d26]) ).
cnf(d65,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d64,d33]) ).
cnf(d66,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d65,d26]) ).
cnf(d67,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d66,d30]) ).
cnf(d68,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d67,d26]) ).
cnf(d69,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d68,d13]) ).
cnf(d70,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u2','e$u5') ),
inference(resolution,[status(thm)],[d69,d11]) ).
cnf(d71,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c39,d70]) ).
cnf(d72,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d71,d44]) ).
cnf(d73,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d72,d39]) ).
cnf(d74,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d73,d26]) ).
cnf(d75,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d74,d36]) ).
cnf(d76,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d75,d26]) ).
cnf(d77,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d76,d33]) ).
cnf(d78,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d77,d26]) ).
cnf(d79,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d78,d30]) ).
cnf(d80,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d79,d26]) ).
cnf(d81,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d80,d13]) ).
cnf(d82,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| equalish('e$u2','e$u5') ),
inference(resolution,[status(thm)],[d81,d11]) ).
cnf(d83,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d82]) ).
cnf(d84,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d83,d42]) ).
cnf(d85,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d84,d39]) ).
cnf(d86,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d85,d26]) ).
cnf(d87,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d86,d36]) ).
cnf(d88,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d87,d26]) ).
cnf(d89,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d88,d33]) ).
cnf(d90,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d89,d26]) ).
cnf(d91,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d90,d30]) ).
cnf(d92,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d91,d26]) ).
cnf(d93,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d92,d13]) ).
cnf(d94,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| equalish('e$u2','e$u5') ),
inference(resolution,[status(thm)],[d93,d11]) ).
cnf(d95,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c39,d94]) ).
cnf(d96,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d95,c55]) ).
cnf(d97,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d57,c54]) ).
cnf(d98,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u2','e$u2',X0)
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d57,c56]) ).
cnf(d99,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d98,d57]) ).
cnf(d100,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d99,d46]) ).
cnf(d101,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d100,d39]) ).
cnf(d102,plain,
( cycle('e$u4','e$u1')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d101,d26]) ).
cnf(d103,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d102,d36]) ).
cnf(d104,plain,
( cycle('e$u4','e$u1')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d103,d26]) ).
cnf(d105,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d104,d33]) ).
cnf(d106,plain,
( cycle('e$u4','e$u1')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d105,d26]) ).
cnf(d107,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d106,d30]) ).
cnf(d108,plain,
( cycle('e$u4','e$u1')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d107,d26]) ).
cnf(d109,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d108,d13]) ).
cnf(d110,plain,
( product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u3','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d95,d109]) ).
cnf(d111,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c43,d110]) ).
cnf(d112,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d111,d44]) ).
cnf(d113,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d112,d39]) ).
cnf(d114,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d113,d26]) ).
cnf(d115,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d114,d36]) ).
cnf(d116,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d115,d26]) ).
cnf(d117,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d116,d33]) ).
cnf(d118,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d117,d26]) ).
cnf(d119,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d118,d30]) ).
cnf(d120,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d119,d26]) ).
cnf(d121,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d120,d13]) ).
cnf(d122,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u5') ),
inference(resolution,[status(thm)],[d121,d95]) ).
cnf(d123,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c43,d122]) ).
cnf(d124,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d123,d42]) ).
cnf(d125,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d124,d39]) ).
cnf(d126,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d125,d26]) ).
cnf(d127,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d126,d36]) ).
cnf(d128,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d127,d26]) ).
cnf(d129,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d128,d33]) ).
cnf(d130,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d129,d26]) ).
cnf(d131,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d130,d30]) ).
cnf(d132,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d131,d26]) ).
cnf(d133,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d132,d13]) ).
cnf(d134,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| equalish('e$u3','e$u5') ),
inference(resolution,[status(thm)],[d133,d95]) ).
cnf(d135,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c43,d134]) ).
cnf(d136,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d135,d97]) ).
cnf(d137,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d136]) ).
cnf(d138,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| equalish('e$u2','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d137,d96]) ).
cnf(d139,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c38,d138]) ).
cnf(d140,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d139,d44]) ).
cnf(d141,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d140,d39]) ).
cnf(d142,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d141,d26]) ).
cnf(d143,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d142,d36]) ).
cnf(d144,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d143,d26]) ).
cnf(d145,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d144,d33]) ).
cnf(d146,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d145,d26]) ).
cnf(d147,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d146,d30]) ).
cnf(d148,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d147,d26]) ).
cnf(d149,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d148,d13]) ).
cnf(d150,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u5') ),
inference(resolution,[status(thm)],[d149,d95]) ).
cnf(d151,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c43,d150]) ).
cnf(d152,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d151,d42]) ).
cnf(d153,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d152,d39]) ).
cnf(d154,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d153,d26]) ).
cnf(d155,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d154,d36]) ).
cnf(d156,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d155,d26]) ).
cnf(d157,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d156,d33]) ).
cnf(d158,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d157,d26]) ).
cnf(d159,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d158,d30]) ).
cnf(d160,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d159,d26]) ).
cnf(d161,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d160,d13]) ).
cnf(d162,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| equalish('e$u3','e$u5') ),
inference(resolution,[status(thm)],[d161,d95]) ).
cnf(d163,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c43,d162]) ).
cnf(d164,plain,
( ~ product(X0,'e$u1','e$u4')
| equalish(X0,'e$u4')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d163,c55]) ).
cnf(d165,plain,
( product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u4','e$u5')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d163,d109]) ).
cnf(d166,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c47,d165]) ).
cnf(d167,plain,
( product('e$u4','e$u1','e$u5')
| equalish('e$u2','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d166,d164]) ).
cnf(d168,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c38,d167]) ).
cnf(d169,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d168,d42]) ).
cnf(d170,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d169,d39]) ).
cnf(d171,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d170,d26]) ).
cnf(d172,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d171,d36]) ).
cnf(d173,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d172,d26]) ).
cnf(d174,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d173,d33]) ).
cnf(d175,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d174,d26]) ).
cnf(d176,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d175,d30]) ).
cnf(d177,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d176,d26]) ).
cnf(d178,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d177,d13]) ).
cnf(d179,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2')
| equalish('e$u4','e$u5') ),
inference(resolution,[status(thm)],[d178,d163]) ).
cnf(d180,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c47,d179]) ).
cnf(d181,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d180,d97]) ).
cnf(d182,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d181]) ).
cnf(d183,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d182,d46]) ).
cnf(d184,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d183,d39]) ).
cnf(d185,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d184,d26]) ).
cnf(d186,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d185,d36]) ).
cnf(d187,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d186,d26]) ).
cnf(d188,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d187,d33]) ).
cnf(d189,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d188,d26]) ).
cnf(d190,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d189,d30]) ).
cnf(d191,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d190,d26]) ).
cnf(d192,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d191,d13]) ).
cnf(d193,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u4','e$u5') ),
inference(resolution,[status(thm)],[d192,d163]) ).
cnf(d194,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c47,d193]) ).
cnf(d195,plain,
( product('e$u4','e$u1','e$u5')
| equalish('e$u2','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d194,d164]) ).
cnf(d196,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c38,d195]) ).
cnf(d197,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d196,d42]) ).
cnf(d198,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d197,d39]) ).
cnf(d199,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d198,d26]) ).
cnf(d200,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d199,d36]) ).
cnf(d201,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d200,d26]) ).
cnf(d202,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d201,d33]) ).
cnf(d203,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d202,d26]) ).
cnf(d204,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d203,d30]) ).
cnf(d205,plain,
( cycle('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d204,d26]) ).
cnf(d206,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d205,d13]) ).
cnf(d207,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u5')
| equalish('e$u4','e$u5') ),
inference(resolution,[status(thm)],[d206,d163]) ).
cnf(d208,plain,
product('e$u4','e$u1','e$u5'),
inference(resolution,[status(thm)],[c47,d207]) ).
cnf(d209,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u4','e$u5',X0) ),
inference(resolution,[status(thm)],[d208,c56]) ).
cnf(d210,plain,
( ~ product(X0,'e$u1','e$u5')
| equalish(X0,'e$u4') ),
inference(resolution,[status(thm)],[d208,c55]) ).
cnf(d211,plain,
( product('e$u5',X0,'e$u5')
| product('e$u5',X0,'e$u4')
| product('e$u5',X0,'e$u3')
| product('e$u5',X0,'e$u2')
| product('e$u5',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c31]) ).
cnf(d212,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d211,c27]) ).
cnf(d213,plain,
( ~ product('e$u1','e$u1',X0)
| product('e$u5','e$u1',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d212,c56]) ).
cnf(d214,plain,
( ~ product(X0,'e$u1','e$u1')
| equalish(X0,'e$u1')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d4,c55]) ).
cnf(d215,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| equalish('e$u5','e$u1') ),
inference(resolution,[status(thm)],[d214,d212]) ).
cnf(d216,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c48,d215]) ).
cnf(d217,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d216,d213]) ).
cnf(d218,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d217,d213]) ).
cnf(d219,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d218,d213]) ).
cnf(d220,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d219,d213]) ).
cnf(d221,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u1')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d163,c54]) ).
cnf(d222,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u4','e$u4',X0)
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d163,c56]) ).
cnf(d223,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d222,d163]) ).
cnf(d224,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u4','e$u5',X0)
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d223,c56]) ).
cnf(d225,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d224,d220]) ).
cnf(d226,plain,
( product('e$u4','e$u1','e$u5')
| equalish('e$u4','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d225,d221]) ).
cnf(d227,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c44,d226]) ).
cnf(d228,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u4','e$u5',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d227,c56]) ).
cnf(d229,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d228,d220]) ).
cnf(d230,plain,
( ~ product(X0,'e$u5','e$u2')
| equalish(X0,'e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d229,c55]) ).
cnf(d231,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u5','e$u2',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d220,c56]) ).
cnf(d232,plain,
( ~ product(X0,'e$u1','e$u2')
| equalish(X0,'e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d57,c55]) ).
cnf(d233,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u5','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d220,d232]) ).
cnf(d234,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c49,d233]) ).
cnf(d235,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d234,d231]) ).
cnf(d236,plain,
( ~ product(X0,'e$u1','e$u4')
| equalish(X0,'e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d235,c55]) ).
cnf(d237,plain,
( ~ product(X0,'e$u1','e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d220,c55]) ).
cnf(d238,plain,
( product('e$u3',X0,'e$u5')
| product('e$u3',X0,'e$u4')
| product('e$u3',X0,'e$u3')
| product('e$u3',X0,'e$u2')
| product('e$u3',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c29]) ).
cnf(d239,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d238,c27]) ).
cnf(d240,plain,
( ~ product('e$u1','e$u1',X0)
| product('e$u3','e$u1',X0)
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d239,c56]) ).
cnf(d241,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| equalish('e$u3','e$u1') ),
inference(resolution,[status(thm)],[d214,d239]) ).
cnf(d242,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c40,d241]) ).
cnf(d243,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d242,d240]) ).
cnf(d244,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u5')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d243,d240]) ).
cnf(d245,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d244,d240]) ).
cnf(d246,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d245,d240]) ).
cnf(d247,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u3','e$u5')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d246,d237]) ).
cnf(d248,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c43,d247]) ).
cnf(d249,plain,
( ~ product('e$u3',X0,'e$u3')
| equalish(X0,'e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d248,c54]) ).
cnf(d250,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u3','e$u3',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d248,c56]) ).
cnf(d251,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d250,d248]) ).
cnf(d252,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d251,d236]) ).
cnf(d253,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c41,d252]) ).
cnf(d254,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u2','e$u5',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d253,c56]) ).
cnf(d255,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d254,d220]) ).
cnf(d256,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d255,c54]) ).
cnf(d257,plain,
( ~ product('e$u2','e$u5',X0)
| product('e$u2','e$u2',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d255,c56]) ).
cnf(d258,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d257,d255]) ).
cnf(d259,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| equalish('e$u2','e$u5')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d258,d256]) ).
cnf(d260,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d259]) ).
cnf(d261,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u3','e$u5',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d260,c56]) ).
cnf(d262,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d261,d220]) ).
cnf(d263,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u3','e$u1')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d262,d249]) ).
cnf(d264,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c40,d263]) ).
cnf(d265,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d264,d236]) ).
cnf(d266,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c41,d265]) ).
cnf(d267,plain,
( ~ product('e$u5','e$u1',X0)
| product('e$u2','e$u5',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d266,c56]) ).
cnf(d268,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d267,d220]) ).
cnf(d269,plain,
( ~ product(X0,'e$u5','e$u2')
| equalish(X0,'e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d268,c55]) ).
cnf(d270,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5')
| equalish('e$u4','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d229,d269]) ).
cnf(d271,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c45,d270]) ).
cnf(d272,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d271,d210]) ).
cnf(d273,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c42,d272]) ).
cnf(d274,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u3','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d273,d230]) ).
cnf(d275,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c42,d274]) ).
cnf(d276,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d275,c55]) ).
cnf(d277,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u5','e$u3',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d275,c56]) ).
cnf(d278,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d277,d246]) ).
cnf(d279,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| equalish('e$u3','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d278,d276]) ).
cnf(d280,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c43,d279]) ).
cnf(d281,plain,
( ~ product('e$u3',X0,'e$u4')
| equalish(X0,'e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d280,c54]) ).
cnf(d282,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u3','e$u2',X0)
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d246,c56]) ).
cnf(d283,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u3','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d246,d232]) ).
cnf(d284,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c41,d283]) ).
cnf(d285,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u2','e$u3',X0)
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d284,c56]) ).
cnf(d286,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d285,d246]) ).
cnf(d287,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d286,d282]) ).
cnf(d288,plain,
( ~ product(X0,'e$u1','e$u5')
| equalish(X0,'e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d287,c55]) ).
cnf(d289,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u3','e$u2')
| equalish('e$u4','e$u2') ),
inference(resolution,[status(thm)],[d208,d288]) ).
cnf(d290,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c45,d289]) ).
cnf(d291,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d290,c54]) ).
cnf(d292,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u2','e$u2',X0)
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d290,c56]) ).
cnf(d293,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d292,d290]) ).
cnf(d294,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| equalish('e$u2','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d293,d291]) ).
cnf(d295,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c37,d294]) ).
cnf(d296,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d295,c55]) ).
cnf(d297,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u5','e$u3')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d275,d296]) ).
cnf(d298,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c50,d297]) ).
cnf(d299,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d298,c56]) ).
cnf(d300,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d299,d208]) ).
cnf(d301,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d300,d210]) ).
cnf(d302,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c42,d301]) ).
cnf(d303,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u1','e$u5')
| equalish('e$u2','e$u1')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d302,d281]) ).
cnf(d304,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c36,d303]) ).
cnf(d305,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d304,d210]) ).
cnf(d306,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c42,d305]) ).
cnf(d307,plain,
( ~ product(X0,'e$u4','e$u5')
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d306,c55]) ).
cnf(d308,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u2')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d99,c55]) ).
cnf(d309,plain,
( product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u5','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d275,d308]) ).
cnf(d310,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c49,d309]) ).
cnf(d311,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2','e$u4',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d310,c56]) ).
cnf(d312,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d311,d208]) ).
cnf(d313,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d312,d210]) ).
cnf(d314,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c38,d313]) ).
cnf(d315,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u2','e$u1')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d314,d97]) ).
cnf(d316,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d315]) ).
cnf(d317,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| equalish('e$u2','e$u5')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d316,d276]) ).
cnf(d318,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c39,d317]) ).
cnf(d319,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2','e$u4',X0)
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d318,c56]) ).
cnf(d320,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d319,d208]) ).
cnf(d321,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d320,d210]) ).
cnf(d322,plain,
( product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c38,d321]) ).
cnf(d323,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| equalish('e$u2','e$u3')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d322,d307]) ).
cnf(d324,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c37,d323]) ).
cnf(d325,plain,
( product('e$u4','e$u5','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d324,d209]) ).
cnf(d326,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d325,c54]) ).
cnf(d327,plain,
( ~ product('e$u4','e$u5',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d325,c56]) ).
cnf(d328,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d327,d325]) ).
cnf(d329,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| equalish('e$u4','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d328,d326]) ).
cnf(d330,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c47,d329]) ).
cnf(d331,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d330,d210]) ).
cnf(d332,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c51,d331]) ).
cnf(d333,plain,
( ~ product('e$u5',X0,'e$u3')
| equalish(X0,'e$u2')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d332,c54]) ).
cnf(d334,plain,
( ~ product('e$u4',X0,'e$u5')
| equalish(X0,'e$u1') ),
inference(resolution,[status(thm)],[d208,c54]) ).
cnf(d335,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d0,c29]) ).
cnf(d336,plain,
( ~ product(X0,'e$u3','e$u1')
| equalish(X0,'e$u4')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d335,c55]) ).
cnf(d337,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d251,c56]) ).
cnf(d338,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d208,d337]) ).
cnf(d339,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d338,d210]) ).
cnf(d340,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c42,d339]) ).
cnf(d341,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d340,d249]) ).
cnf(d342,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c40,d341]) ).
cnf(d343,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d342,c56]) ).
cnf(d344,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d343,d208]) ).
cnf(d345,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d344,d210]) ).
cnf(d346,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c42,d345]) ).
cnf(d347,plain,
( ~ product('e$u3',X0,'e$u5')
| equalish(X0,'e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d346,c54]) ).
cnf(d348,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d234,c55]) ).
cnf(d349,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u3','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d248,d348]) ).
cnf(d350,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c41,d349]) ).
cnf(d351,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d350,c56]) ).
cnf(d352,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d208,d351]) ).
cnf(d353,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d352,d210]) ).
cnf(d354,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c38,d353]) ).
cnf(d355,plain,
( ~ product(X0,'e$u4','e$u5')
| equalish(X0,'e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d354,c55]) ).
cnf(d356,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u3','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d346,d355]) ).
cnf(d357,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c41,d356]) ).
cnf(d358,plain,
( ~ product('e$u3',X0,'e$u4')
| equalish(X0,'e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d357,c54]) ).
cnf(d359,plain,
( ~ product(X0,'e$u2','e$u3')
| equalish(X0,'e$u5')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d332,c55]) ).
cnf(d360,plain,
( ~ product('e$u3','e$u2',X0)
| product('e$u5','e$u3',X0)
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d332,c56]) ).
cnf(d361,plain,
( product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u3','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d238,c28]) ).
cnf(d362,plain,
( product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d360,d361]) ).
cnf(d363,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d362,d360]) ).
cnf(d364,plain,
( product('e$u5','e$u3','e$u2')
| equalish('e$u3','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d363,d359]) ).
cnf(d365,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c43,d364]) ).
cnf(d366,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| equalish('e$u2','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d365,d358]) ).
cnf(d367,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c36,d366]) ).
cnf(d368,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u1','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d367,d347]) ).
cnf(d369,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c34,d368]) ).
cnf(d370,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u2','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d369,d347]) ).
cnf(d371,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c38,d370]) ).
cnf(d372,plain,
( product('e$u5','e$u3','e$u2')
| equalish('e$u1','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d371,d333]) ).
cnf(d373,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c32,d372]) ).
cnf(d374,plain,
( product('e$u4','e$u5','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d373,d209]) ).
cnf(d375,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d374,c54]) ).
cnf(d376,plain,
( ~ product('e$u4','e$u5',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d374,c56]) ).
cnf(d377,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d376,d374]) ).
cnf(d378,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5')
| equalish('e$u4','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d377,d375]) ).
cnf(d379,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c47,d378]) ).
cnf(d380,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d379,d210]) ).
cnf(d381,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c51,d380]) ).
cnf(d382,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| equalish('e$u5','e$u4')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d381,d336]) ).
cnf(d383,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c51,d382]) ).
cnf(d384,plain,
( ~ product('e$u4',X0,'e$u2')
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d383,c54]) ).
cnf(d385,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u5','e$u1',X0)
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d381,c56]) ).
cnf(d386,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2')
| product('e$u1','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d3,c29]) ).
cnf(d387,plain,
( ~ product('e$u1',X0,'e$u1')
| equalish(X0,'e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d386,c54]) ).
cnf(d388,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u1','e$u1',X0)
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d386,c56]) ).
cnf(d389,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d388,d386]) ).
cnf(d390,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2')
| equalish('e$u1','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d389,d387]) ).
cnf(d391,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c33,d390]) ).
cnf(d392,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d385,d391]) ).
cnf(d393,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d392,d385]) ).
cnf(d394,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d393,d385]) ).
cnf(d395,plain,
( ~ product('e$u5','e$u3',X0)
| product('e$u1','e$u5',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d394,c56]) ).
cnf(d396,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d395,d381]) ).
cnf(d397,plain,
( ~ product('e$u1',X0,'e$u1')
| equalish(X0,'e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d396,c54]) ).
cnf(d398,plain,
( ~ product('e$u1','e$u5',X0)
| product('e$u1','e$u1',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d396,c56]) ).
cnf(d399,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d398,d396]) ).
cnf(d400,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| equalish('e$u1','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d399,d397]) ).
cnf(d401,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c35,d400]) ).
cnf(d402,plain,
( product('e$u4','e$u5','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d401,d209]) ).
cnf(d403,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| equalish('e$u5','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d402,d384]) ).
cnf(d404,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c50,d403]) ).
cnf(d405,plain,
( ~ product('e$u3','e$u3',X0)
| product('e$u4','e$u3',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d404,c56]) ).
cnf(d406,plain,
( ~ product(X0,'e$u3','e$u3')
| equalish(X0,'e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d404,c55]) ).
cnf(d407,plain,
( ~ product(X0,'e$u1','e$u2')
| equalish(X0,'e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d246,c55]) ).
cnf(d408,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| equalish('e$u5','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d401,d407]) ).
cnf(d409,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c50,d408]) ).
cnf(d410,plain,
( ~ product('e$u3',X0,'e$u3')
| equalish(X0,'e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d409,c54]) ).
cnf(d411,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u3','e$u3',X0)
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d295,c56]) ).
cnf(d412,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d411,d295]) ).
cnf(d413,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d412,c56]) ).
cnf(d414,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d413,d208]) ).
cnf(d415,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d414,d210]) ).
cnf(d416,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c42,d415]) ).
cnf(d417,plain,
( ~ product('e$u3',X0,'e$u4')
| equalish(X0,'e$u2')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d416,c54]) ).
cnf(d418,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u3','e$u3',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d409,c56]) ).
cnf(d419,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d418,d409]) ).
cnf(d420,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| equalish('e$u1','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d419,d417]) ).
cnf(d421,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c32,d420]) ).
cnf(d422,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d421,d210]) ).
cnf(d423,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c42,d422]) ).
cnf(d424,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u3','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d423,d410]) ).
cnf(d425,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c40,d424]) ).
cnf(d426,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d425,c56]) ).
cnf(d427,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d426,d208]) ).
cnf(d428,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d427,d210]) ).
cnf(d429,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c42,d428]) ).
cnf(d430,plain,
( ~ product('e$u3',X0,'e$u5')
| equalish(X0,'e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d429,c54]) ).
cnf(d431,plain,
( ~ product('e$u3',X0,'e$u4')
| equalish(X0,'e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d419,c54]) ).
cnf(d432,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d238,c29]) ).
cnf(d433,plain,
( ~ product(X0,'e$u3','e$u1')
| equalish(X0,'e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d432,c55]) ).
cnf(d434,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| equalish('e$u5','e$u3')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d381,d433]) ).
cnf(d435,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c50,d434]) ).
cnf(d436,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u3','e$u2',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d435,c56]) ).
cnf(d437,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u2','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d48,c29]) ).
cnf(d438,plain,
( ~ product(X0,'e$u3','e$u1')
| equalish(X0,'e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d437,c55]) ).
cnf(d439,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| equalish('e$u5','e$u2')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d381,d438]) ).
cnf(d440,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c49,d439]) ).
cnf(d441,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d440,c54]) ).
cnf(d442,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u2','e$u2',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d440,c56]) ).
cnf(d443,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d442,d440]) ).
cnf(d444,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| equalish('e$u2','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d443,d441]) ).
cnf(d445,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c37,d444]) ).
cnf(d446,plain,
( ~ product('e$u2','e$u3',X0)
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d445,c53]) ).
cnf(d447,plain,
( ~ product('e$u3','e$u3',X0)
| product('e$u2','e$u3',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d445,c56]) ).
cnf(d448,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d447,d435]) ).
cnf(d449,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| equalish('e$u2','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d448,d446]) ).
cnf(d450,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c37,d449]) ).
cnf(d451,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d450,d436]) ).
cnf(d452,plain,
( ~ product(X0,'e$u3','e$u5')
| equalish(X0,'e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d451,c55]) ).
cnf(d453,plain,
( ~ product(X0,'e$u3','e$u2')
| equalish(X0,'e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d391,c55]) ).
cnf(d454,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| equalish('e$u3','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d435,d453]) ).
cnf(d455,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c40,d454]) ).
cnf(d456,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d455,d385]) ).
cnf(d457,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d456,d385]) ).
cnf(d458,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| equalish('e$u1','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d457,d452]) ).
cnf(d459,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c32,d458]) ).
cnf(d460,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5')
| equalish('e$u2','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d459,d431]) ).
cnf(d461,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c36,d460]) ).
cnf(d462,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u1','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d461,d430]) ).
cnf(d463,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c34,d462]) ).
cnf(d464,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| equalish('e$u3','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d463,d406]) ).
cnf(d465,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c42,d464]) ).
cnf(d466,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u4')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d465,d405]) ).
cnf(d467,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d466,d405]) ).
cnf(d468,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d467,c54]) ).
cnf(d469,plain,
( ~ product('e$u4','e$u3',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d467,c56]) ).
cnf(d470,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d469,d467]) ).
cnf(d471,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d470,d334]) ).
cnf(d472,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c40,d471]) ).
cnf(d473,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5')
| equalish('e$u4','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d472,d468]) ).
cnf(d474,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c46,d473]) ).
cnf(d475,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d474,d334]) ).
cnf(d476,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c40,d475]) ).
cnf(d477,plain,
( product('e$u5','e$u3','e$u2')
| equalish('e$u1','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d476,d333]) ).
cnf(d478,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c32,d477]) ).
cnf(d479,plain,
( product('e$u4','e$u5','e$u4')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d478,d209]) ).
cnf(d480,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u5')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d479,c54]) ).
cnf(d481,plain,
( ~ product('e$u4','e$u5',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d479,c56]) ).
cnf(d482,plain,
( product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u2')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d481,d479]) ).
cnf(d483,plain,
( product('e$u5','e$u3','e$u2')
| equalish('e$u4','e$u5')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d482,d480]) ).
cnf(d484,plain,
product('e$u5','e$u3','e$u2'),
inference(resolution,[status(thm)],[c47,d483]) ).
cnf(d485,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u5','e$u2',X0) ),
inference(resolution,[status(thm)],[d484,c56]) ).
cnf(d486,plain,
( ~ product(X0,'e$u3','e$u2')
| equalish(X0,'e$u5') ),
inference(resolution,[status(thm)],[d484,c55]) ).
cnf(d487,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d485,d437]) ).
cnf(d488,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d487,d486]) ).
cnf(d489,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c39,d488]) ).
cnf(d490,plain,
( ~ product('e$u3','e$u3',X0)
| product('e$u2','e$u3',X0)
| product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d489,c56]) ).
cnf(d491,plain,
( ~ product(X0,'e$u3','e$u3')
| equalish(X0,'e$u2')
| product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d489,c55]) ).
cnf(d492,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| equalish('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d438,d432]) ).
cnf(d493,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c41,d492]) ).
cnf(d494,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d493,c54]) ).
cnf(d495,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u2','e$u2',X0)
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d493,c56]) ).
cnf(d496,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d495,d493]) ).
cnf(d497,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| equalish('e$u2','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d496,d494]) ).
cnf(d498,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c37,d497]) ).
cnf(d499,plain,
( ~ product('e$u2','e$u3',X0)
| equalish(X0,'e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d498,c53]) ).
cnf(d500,plain,
( ~ product('e$u3','e$u3',X0)
| product('e$u2','e$u3',X0)
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d498,c56]) ).
cnf(d501,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d500,d432]) ).
cnf(d502,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| equalish('e$u1','e$u3')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d501,d499]) ).
cnf(d503,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c33,d502]) ).
cnf(d504,plain,
( product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d485,d503]) ).
cnf(d505,plain,
( ~ product('e$u5','e$u3',X0)
| product('e$u2','e$u5',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d504,c56]) ).
cnf(d506,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d505,d484]) ).
cnf(d507,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d506,c54]) ).
cnf(d508,plain,
( ~ product('e$u2','e$u5',X0)
| product('e$u2','e$u2',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d506,c56]) ).
cnf(d509,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d508,d506]) ).
cnf(d510,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2')
| equalish('e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d509,d507]) ).
cnf(d511,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c39,d510]) ).
cnf(d512,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d511,d486]) ).
cnf(d513,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u3','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c43,d512]) ).
cnf(d514,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d513,d491]) ).
cnf(d515,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c41,d514]) ).
cnf(d516,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d515,d485]) ).
cnf(d517,plain,
( ~ product('e$u5','e$u3',X0)
| product('e$u2','e$u5',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d516,c56]) ).
cnf(d518,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d517,d484]) ).
cnf(d519,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d518,c54]) ).
cnf(d520,plain,
( ~ product('e$u2','e$u5',X0)
| product('e$u2','e$u2',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d518,c56]) ).
cnf(d521,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d520,d518]) ).
cnf(d522,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4')
| equalish('e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d521,d519]) ).
cnf(d523,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u3','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c39,d522]) ).
cnf(d524,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d523,d490]) ).
cnf(d525,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d524,d485]) ).
cnf(d526,plain,
( ~ product(X0,'e$u3','e$u5')
| equalish(X0,'e$u2')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d525,c55]) ).
cnf(d527,plain,
( ~ product(X0,'e$u3','e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d523,c55]) ).
cnf(d528,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| equalish('e$u5','e$u1') ),
inference(resolution,[status(thm)],[d484,d453]) ).
cnf(d529,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c48,d528]) ).
cnf(d530,plain,
( ~ product('e$u3','e$u3',X0)
| product('e$u1','e$u3',X0)
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d529,c56]) ).
cnf(d531,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d523,d530]) ).
cnf(d532,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| equalish('e$u1','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d531,d527]) ).
cnf(d533,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c33,d532]) ).
cnf(d534,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5')
| equalish('e$u1','e$u2')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d533,d526]) ).
cnf(d535,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c32,d534]) ).
cnf(d536,plain,
( ~ product(X0,'e$u3','e$u5')
| equalish(X0,'e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d535,c55]) ).
cnf(d537,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d535,d490]) ).
cnf(d538,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d537,d485]) ).
cnf(d539,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| equalish('e$u2','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d538,d536]) ).
cnf(d540,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c37,d539]) ).
cnf(d541,plain,
( ~ product('e$u5','e$u2',X0)
| equalish(X0,'e$u1')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d540,c53]) ).
cnf(d542,plain,
( ~ product('e$u5',X0,'e$u2')
| equalish(X0,'e$u3') ),
inference(resolution,[status(thm)],[d484,c54]) ).
cnf(d543,plain,
( ~ product('e$u1','e$u2',X0)
| product('e$u5','e$u1',X0)
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d540,c56]) ).
cnf(d544,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| product('e$u1','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d3,c28]) ).
cnf(d545,plain,
( ~ product('e$u1',X0,'e$u1')
| equalish(X0,'e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d544,c54]) ).
cnf(d546,plain,
( ~ product('e$u1','e$u2',X0)
| product('e$u1','e$u1',X0)
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d544,c56]) ).
cnf(d547,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d546,d544]) ).
cnf(d548,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| equalish('e$u1','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d547,d545]) ).
cnf(d549,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c32,d548]) ).
cnf(d550,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d543,d549]) ).
cnf(d551,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d550,d543]) ).
cnf(d552,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d551,d543]) ).
cnf(d553,plain,
( ~ product('e$u5','e$u2',X0)
| product('e$u1','e$u5',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d552,c56]) ).
cnf(d554,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d553,d540]) ).
cnf(d555,plain,
( ~ product('e$u1',X0,'e$u1')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d554,c54]) ).
cnf(d556,plain,
( ~ product('e$u1','e$u5',X0)
| product('e$u1','e$u1',X0)
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d554,c56]) ).
cnf(d557,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d556,d554]) ).
cnf(d558,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| equalish('e$u1','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d557,d555]) ).
cnf(d559,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c35,d558]) ).
cnf(d560,plain,
( equalish('e$u1','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d559,d542]) ).
cnf(d561,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c33,d560]) ).
cnf(d562,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d561,d209]) ).
cnf(d563,plain,
( ~ product('e$u4',X0,'e$u3')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d562,c54]) ).
cnf(d564,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| equalish('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d336,d437]) ).
cnf(d565,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c38,d564]) ).
cnf(d566,plain,
( ~ product('e$u2',X0,'e$u2')
| equalish(X0,'e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d565,c54]) ).
cnf(d567,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u2','e$u2',X0)
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d565,c56]) ).
cnf(d568,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d567,d565]) ).
cnf(d569,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| equalish('e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d568,d566]) ).
cnf(d570,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c37,d569]) ).
cnf(d571,plain,
( product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d485,d570]) ).
cnf(d572,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d571,d485]) ).
cnf(d573,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d572,d485]) ).
cnf(d574,plain,
( equalish('e$u4','e$u5')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d573,d486]) ).
cnf(d575,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c47,d574]) ).
cnf(d576,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u5','e$u1','e$u4')
| equalish('e$u3','e$u5')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d575,d563]) ).
cnf(d577,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c43,d576]) ).
cnf(d578,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d577,c54]) ).
cnf(d579,plain,
( ~ product('e$u4','e$u3',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d577,c56]) ).
cnf(d580,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d579,d577]) ).
cnf(d581,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d580,d334]) ).
cnf(d582,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c40,d581]) ).
cnf(d583,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5')
| equalish('e$u4','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d582,d578]) ).
cnf(d584,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c46,d583]) ).
cnf(d585,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d584,d334]) ).
cnf(d586,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c40,d585]) ).
cnf(d587,plain,
( product('e$u4','e$u5','e$u4')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d586,d209]) ).
cnf(d588,plain,
( ~ product('e$u4',X0,'e$u4')
| equalish(X0,'e$u5')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d587,c54]) ).
cnf(d589,plain,
( ~ product('e$u4','e$u5',X0)
| product('e$u4','e$u4',X0)
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d587,c56]) ).
cnf(d590,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d589,d587]) ).
cnf(d591,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| equalish('e$u4','e$u5')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d590,d588]) ).
cnf(d592,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c47,d591]) ).
cnf(d593,plain,
( product('e$u5','e$u2','e$u4')
| equalish('e$u3','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d592,d541]) ).
cnf(d594,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c40,d593]) ).
cnf(d595,plain,
( ~ product('e$u5',X0,'e$u4')
| equalish(X0,'e$u2')
| product('e$u5','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d594,c54]) ).
cnf(d596,plain,
( ~ product('e$u5',X0,'e$u2')
| equalish(X0,'e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d220,c54]) ).
cnf(d597,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u3','e$u1') ),
inference(resolution,[status(thm)],[d484,d596]) ).
cnf(d598,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c40,d597]) ).
cnf(d599,plain,
( ~ product(X0,'e$u1','e$u3')
| equalish(X0,'e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d598,c55]) ).
cnf(d600,plain,
( product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| equalish('e$u5','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d598,d308]) ).
cnf(d601,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c49,d600]) ).
cnf(d602,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d601,c56]) ).
cnf(d603,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d602,d208]) ).
cnf(d604,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d603,d210]) ).
cnf(d605,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c38,d604]) ).
cnf(d606,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| equalish('e$u2','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d605,d97]) ).
cnf(d607,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d606]) ).
cnf(d608,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| equalish('e$u2','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d607,d599]) ).
cnf(d609,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c39,d608]) ).
cnf(d610,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d609,c56]) ).
cnf(d611,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d610,d208]) ).
cnf(d612,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d611,d210]) ).
cnf(d613,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c38,d612]) ).
cnf(d614,plain,
( ~ product(X0,'e$u4','e$u5')
| equalish(X0,'e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d613,c55]) ).
cnf(d615,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| equalish('e$u5','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d598,d296]) ).
cnf(d616,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c50,d615]) ).
cnf(d617,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3','e$u4',X0)
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d616,c56]) ).
cnf(d618,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d617,d208]) ).
cnf(d619,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d618,d210]) ).
cnf(d620,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c42,d619]) ).
cnf(d621,plain,
( ~ product(X0,'e$u2','e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d620,c55]) ).
cnf(d622,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5')
| equalish('e$u5','e$u3')
| product('e$u5','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d594,d621]) ).
cnf(d623,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c50,d622]) ).
cnf(d624,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d623,d614]) ).
cnf(d625,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c41,d624]) ).
cnf(d626,plain,
( product('e$u5','e$u2','e$u5')
| equalish('e$u1','e$u2')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d625,d595]) ).
cnf(d627,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c32,d626]) ).
cnf(d628,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d627,d210]) ).
cnf(d629,plain,
product('e$u5','e$u2','e$u5'),
inference(resolution,[status(thm)],[c51,d628]) ).
cnf(d630,plain,
( product('e$u5','e$u2','e$u4')
| equalish('e$u5','e$u1') ),
inference(resolution,[status(thm)],[d629,d541]) ).
cnf(d631,plain,
product('e$u5','e$u2','e$u4'),
inference(resolution,[status(thm)],[c48,d630]) ).
cnf(d632,plain,
( ~ product('e$u5','e$u2',X0)
| equalish(X0,'e$u5') ),
inference(resolution,[status(thm)],[d629,c53]) ).
cnf(d633,plain,
equalish('e$u4','e$u5'),
inference(resolution,[status(thm)],[d632,d631]) ).
cnf(d634,plain,
$false,
inference(resolution,[status(thm)],[c47,d633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 14:28:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.50/18.11 % SZS status Unsatisfiable for theBenchmark.p
% 120.50/18.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------