%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP125-3.005 : 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 : n010.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 07:22:26 AM UTC 2026
% Result : Unsatisfiable 74.08s 21.88s
% Output : CNFRefutation 74.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 123
% Number of leaves : 50
% Syntax : Number of clauses : 529 ( 91 unt; 357 nHn; 527 RR)
% Number of literals : 2335 ( 0 equ; 346 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 180 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_0_then_e_1,axiom,
next('e$u0','e$u1') ).
cnf(e_1_then_e_2,axiom,
next('e$u1','e$u2') ).
cnf(e_2_then_e_3,axiom,
next('e$u2','e$u3') ).
cnf(e_3_then_e_4,axiom,
next('e$u3','e$u4') ).
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(e_4_greater_e_3,axiom,
greater('e$u4','e$u3') ).
cnf(e_5_greater_e_4,axiom,
greater('e$u5','e$u4') ).
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(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$uelement'(X0) ) ).
cnf(product_total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(qg3,negated_conjecture,
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c0,plain,
next('e$u0','e$u1'),
inference(clausification,[status(esa)],[e_0_then_e_1]) ).
cnf(c1,plain,
next('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_then_e_2]) ).
cnf(c2,plain,
next('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_then_e_3]) ).
cnf(c3,plain,
next('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_then_e_4]) ).
cnf(c4,plain,
next('e$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$u2'),
inference(clausification,[status(esa)],[e_5_greater_e_2]) ).
cnf(c17,plain,
greater('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_greater_e_3]) ).
cnf(c19,plain,
greater('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_greater_e_4]) ).
cnf(c21,plain,
( ~ 'group$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$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c32,plain,
~ equalish('e$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(X0,X0,X0),
inference(clausification,[status(esa)],[product_idempotence]) ).
cnf(c57,plain,
( product(X3,X2,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg3]) ).
cnf(d0,plain,
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c53,c56]) ).
cnf(d1,plain,
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c54,c56]) ).
cnf(d2,plain,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c55,c56]) ).
cnf(d3,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$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c30]) ).
cnf(d4,plain,
( product('e$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)],[d3,c27]) ).
cnf(d5,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,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') ),
inference(resolution,[status(thm)],[c44,d5]) ).
cnf(d7,plain,
( ~ product('e$u4','e$u1',X1)
| equalish(X1,'e$u5')
| ~ cycle('e$u4',X0)
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[c26,c4]) ).
cnf(d8,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| ~ cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,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(d10,plain,
( equalish(X2,'e$u1')
| ~ cycle(X0,X2)
| ~ cycle(X1,'e$u0')
| ~ greater(X2,'e$u0')
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[c23,c0]) ).
cnf(d11,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u4',X0)
| ~ cycle('e$u5','e$u0')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d10,c4]) ).
cnf(d12,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u4',X0)
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[c22,d11]) ).
cnf(d13,plain,
( equalish('e$u4','e$u1')
| ~ cycle('e$u4','e$u4') ),
inference(resolution,[status(thm)],[d12,c8]) ).
cnf(d14,plain,
~ cycle('e$u4','e$u4'),
inference(resolution,[status(thm)],[c44,d13]) ).
cnf(d15,plain,
( cycle('e$u4','e$u3')
| cycle('e$u4','e$u2')
| cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
( equalish('e$u2','e$u1')
| ~ cycle('e$u4','e$u2') ),
inference(resolution,[status(thm)],[d12,c6]) ).
cnf(d17,plain,
~ cycle('e$u4','e$u2'),
inference(resolution,[status(thm)],[c36,d16]) ).
cnf(d18,plain,
( cycle('e$u4','e$u3')
| cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( equalish('e$u3','e$u1')
| ~ cycle('e$u4','e$u3') ),
inference(resolution,[status(thm)],[d12,c7]) ).
cnf(d20,plain,
~ cycle('e$u4','e$u3'),
inference(resolution,[status(thm)],[c40,d19]) ).
cnf(d21,plain,
( cycle('e$u4','e$u1')
| cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u3',X0)
| ~ cycle('e$u4','e$u0')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d23,plain,
( equalish('e$u4','e$u1')
| ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d22,c8]) ).
cnf(d24,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[c44,d23]) ).
cnf(d25,plain,
( equalish('e$u3','e$u1')
| ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[d22,c7]) ).
cnf(d26,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[c40,d25]) ).
cnf(d27,plain,
( equalish('e$u2','e$u1')
| ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d22,c6]) ).
cnf(d28,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[c36,d27]) ).
cnf(d29,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(d30,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u1')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d29,c5]) ).
cnf(d31,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u1')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d30]) ).
cnf(d32,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u3','e$u1') ),
inference(resolution,[status(thm)],[d31,c17]) ).
cnf(d33,plain,
( ~ product('e$u3','e$u1','e$u4')
| ~ cycle('e$u3','e$u0') ),
inference(resolution,[status(thm)],[c25,c17]) ).
cnf(d34,plain,
( cycle('e$u3','e$u4')
| cycle('e$u3','e$u3')
| cycle('e$u3','e$u2')
| cycle('e$u3','e$u1')
| cycle('e$u3','e$u0') ),
inference(resolution,[status(thm)],[c21,c29]) ).
cnf(d35,plain,
( ~ product('e$u3','e$u1','e$u4')
| cycle('e$u3','e$u4')
| cycle('e$u3','e$u3')
| cycle('e$u3','e$u2')
| cycle('e$u3','e$u1') ),
inference(resolution,[status(thm)],[d34,d33]) ).
cnf(d36,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$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c29]) ).
cnf(d37,plain,
( product('e$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)],[d36,c27]) ).
cnf(d38,plain,
( equalish('e$u3','e$u1')
| 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)],[d37,d2]) ).
cnf(d39,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') ),
inference(resolution,[status(thm)],[c40,d38]) ).
cnf(d40,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)],[d6,c55]) ).
cnf(d41,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$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$u3','e$u4') ),
inference(resolution,[status(thm)],[d40,d39]) ).
cnf(d42,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$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)],[c42,d41]) ).
cnf(d43,plain,
( equalish('e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d42,d1]) ).
cnf(d44,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c33,d43]) ).
cnf(d45,plain,
( cycle('e$u3','e$u4')
| cycle('e$u3','e$u3')
| cycle('e$u3','e$u2')
| cycle('e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d44,d35]) ).
cnf(d46,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u3','e$u4')
| cycle('e$u3','e$u3')
| cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d45,d32]) ).
cnf(d47,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u3','e$u4')
| cycle('e$u3','e$u3')
| cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d46,d21]) ).
cnf(d48,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u3','e$u4')
| cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[d47,d28]) ).
cnf(d49,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u3','e$u4')
| cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[d48,d21]) ).
cnf(d50,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d49,d26]) ).
cnf(d51,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1')
| cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d50,d21]) ).
cnf(d52,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d51,d24]) ).
cnf(d53,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$u3')
| product('e$u3','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d52,d21]) ).
cnf(d54,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$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d53,d8]) ).
cnf(d55,plain,
( product('e$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$u3')
| product('e$u3','e$u1','e$u5')
| equalish('e$u2','e$u5') ),
inference(resolution,[status(thm)],[d54,d6]) ).
cnf(d56,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d55]) ).
cnf(d57,plain,
( ~ product(X0,'e$u1','e$u5')
| equalish(X0,'e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d56,c55]) ).
cnf(d58,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u4')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d29,c8]) ).
cnf(d59,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u4')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d58]) ).
cnf(d60,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d59,c15]) ).
cnf(d61,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u3')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d29,c7]) ).
cnf(d62,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u3')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d61]) ).
cnf(d63,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d62,c15]) ).
cnf(d64,plain,
( ~ cycle('e$u5','e$u0')
| ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u2')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[d29,c6]) ).
cnf(d65,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle(X0,'e$u2')
| ~ greater('e$u4',X0) ),
inference(resolution,[status(thm)],[c22,d64]) ).
cnf(d66,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d65,c15]) ).
cnf(d67,plain,
( ~ cycle('e$u4','e$u0')
| ~ cycle('e$u2','e$u1') ),
inference(resolution,[status(thm)],[d31,c15]) ).
cnf(d68,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(d69,plain,
( ~ product('e$u2','e$u1','e$u3')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c14]) ).
cnf(d70,plain,
( cycle('e$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)],[d69,d68]) ).
cnf(d71,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$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c28]) ).
cnf(d72,plain,
( product('e$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)],[d71,c27]) ).
cnf(d73,plain,
( equalish('e$u2','e$u1')
| 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)],[d72,d2]) ).
cnf(d74,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') ),
inference(resolution,[status(thm)],[c36,d73]) ).
cnf(d75,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d74,d1]) ).
cnf(d76,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c32,d75]) ).
cnf(d77,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$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d76,d70]) ).
cnf(d78,plain,
( ~ cycle('e$u4','e$u0')
| 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)],[d77,d67]) ).
cnf(d79,plain,
( cycle('e$u4','e$u1')
| 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)],[d78,d21]) ).
cnf(d80,plain,
( ~ cycle('e$u4','e$u0')
| 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)],[d79,d66]) ).
cnf(d81,plain,
( cycle('e$u4','e$u1')
| 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)],[d80,d21]) ).
cnf(d82,plain,
( ~ cycle('e$u4','e$u0')
| 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)],[d81,d63]) ).
cnf(d83,plain,
( cycle('e$u4','e$u1')
| 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)],[d82,d21]) ).
cnf(d84,plain,
( ~ cycle('e$u4','e$u0')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d83,d60]) ).
cnf(d85,plain,
( cycle('e$u4','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d84,d21]) ).
cnf(d86,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d85,d8]) ).
cnf(d87,plain,
( product('e$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')
| equalish('e$u2','e$u5') ),
inference(resolution,[status(thm)],[d86,d6]) ).
cnf(d88,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$u4') ),
inference(resolution,[status(thm)],[c39,d87]) ).
cnf(d89,plain,
( ~ product('e$u2',X0,'e$u4')
| equalish(X0,'e$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)],[d88,c54]) ).
cnf(d90,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$uelement'(X0) ),
inference(resolution,[status(thm)],[c52,c27]) ).
cnf(d91,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2')
| product('e$u1','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d90,c30]) ).
cnf(d92,plain,
( equalish('e$u4','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d91,d1]) ).
cnf(d93,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c44,d92]) ).
cnf(d94,plain,
( ~ product('e$u1','e$u4',X0)
| product(X0,'e$u2','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d6,c57]) ).
cnf(d95,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$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$u2','e$u1') ),
inference(resolution,[status(thm)],[d94,d93]) ).
cnf(d96,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u3','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u2','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d95,c57]) ).
cnf(d97,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$u2','e$u2','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d96,d6]) ).
cnf(d98,plain,
( equalish('e$u1','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d97,d2]) ).
cnf(d99,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$u3','e$u4')
| product('e$u2','e$u2','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c34,d98]) ).
cnf(d100,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u5','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d99,c57]) ).
cnf(d101,plain,
( product('e$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$u3','e$u4')
| product('e$u2','e$u2','e$u1')
| product('e$u2','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d100,d6]) ).
cnf(d102,plain,
( equalish('e$u1','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d101,d0]) ).
cnf(d103,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c32,d102]) ).
cnf(d104,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')
| equalish('e$u3','e$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$u5','e$u4') ),
inference(resolution,[status(thm)],[d103,d89]) ).
cnf(d105,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$u5','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c40,d104]) ).
cnf(d106,plain,
( ~ product(X0,'e$u1','e$u5')
| equalish(X0,'e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d105,c55]) ).
cnf(d107,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$u5','e$u4')
| equalish('e$u3','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d56,d106]) ).
cnf(d108,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u5','e$u4') ),
inference(resolution,[status(thm)],[c41,d107]) ).
cnf(d109,plain,
( product('e$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$u5')
| equalish('e$u5','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)],[d108,d89]) ).
cnf(d110,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)],[c48,d109]) ).
cnf(d111,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$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d110,d57]) ).
cnf(d112,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c37,d111]) ).
cnf(d113,plain,
( ~ product('e$u2','e$u1','e$u5')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c16]) ).
cnf(d114,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$u5') ),
inference(resolution,[status(thm)],[d113,d68]) ).
cnf(d115,plain,
( ~ product('e$u2','e$u1','e$u4')
| ~ cycle('e$u2','e$u0') ),
inference(resolution,[status(thm)],[c25,c15]) ).
cnf(d116,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$u1') ),
inference(resolution,[status(thm)],[d68,d115]) ).
cnf(d117,plain,
( product('e$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$u4') ),
inference(resolution,[status(thm)],[d112,d86]) ).
cnf(d118,plain,
( product('e$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$u4') ),
inference(resolution,[status(thm)],[c43,d117]) ).
cnf(d119,plain,
( cycle('e$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)],[d118,d116]) ).
cnf(d120,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$u2') ),
inference(resolution,[status(thm)],[d119,d67]) ).
cnf(d121,plain,
( cycle('e$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)],[d120,d21]) ).
cnf(d122,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$u3') ),
inference(resolution,[status(thm)],[d121,d66]) ).
cnf(d123,plain,
( cycle('e$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)],[d122,d21]) ).
cnf(d124,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$u4') ),
inference(resolution,[status(thm)],[d123,d63]) ).
cnf(d125,plain,
( cycle('e$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)],[d124,d21]) ).
cnf(d126,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$u1') ),
inference(resolution,[status(thm)],[d125,d60]) ).
cnf(d127,plain,
( cycle('e$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)],[d126,d21]) ).
cnf(d128,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)],[d127,d8]) ).
cnf(d129,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$u5') ),
inference(resolution,[status(thm)],[d128,d112]) ).
cnf(d130,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c43,d129]) ).
cnf(d131,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)],[d130,d114]) ).
cnf(d132,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)],[d131,d67]) ).
cnf(d133,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)],[d132,d21]) ).
cnf(d134,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)],[d133,d66]) ).
cnf(d135,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)],[d134,d21]) ).
cnf(d136,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)],[d135,d63]) ).
cnf(d137,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)],[d136,d21]) ).
cnf(d138,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)],[d137,d60]) ).
cnf(d139,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)],[d138,d21]) ).
cnf(d140,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d139,d8]) ).
cnf(d141,plain,
( product('e$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$u5') ),
inference(resolution,[status(thm)],[d140,d112]) ).
cnf(d142,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c43,d141]) ).
cnf(d143,plain,
( equalish('e$u1','e$u4')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d142,d1]) ).
cnf(d144,plain,
product('e$u4','e$u1','e$u5'),
inference(resolution,[status(thm)],[c34,d143]) ).
cnf(d145,plain,
( ~ product('e$u1','e$u4',X0)
| product(X0,'e$u5','e$u1') ),
inference(resolution,[status(thm)],[d144,c57]) ).
cnf(d146,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u2','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d93,c57]) ).
cnf(d147,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d144,d146]) ).
cnf(d148,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d147,c57]) ).
cnf(d149,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d148,d144]) ).
cnf(d150,plain,
( equalish('e$u1','e$u4')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d149,d2]) ).
cnf(d151,plain,
( product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c34,d150]) ).
cnf(d152,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d151,d145]) ).
cnf(d153,plain,
( ~ product('e$u5','e$u2',X0)
| equalish(X0,'e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d152,c53]) ).
cnf(d154,plain,
( ~ product(X0,'e$u1','e$u5')
| equalish(X0,'e$u4') ),
inference(resolution,[status(thm)],[d144,c55]) ).
cnf(d155,plain,
( equalish(X2,'e$u2')
| ~ cycle(X0,X2)
| ~ cycle(X1,'e$u1')
| ~ greater(X2,'e$u0')
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[c23,c1]) ).
cnf(d156,plain,
( equalish(X0,'e$u2')
| ~ cycle('e$u3',X0)
| ~ cycle('e$u4','e$u1')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d155,c3]) ).
cnf(d157,plain,
( equalish('e$u4','e$u2')
| ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d156,c8]) ).
cnf(d158,plain,
( ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u4') ),
inference(resolution,[status(thm)],[c45,d157]) ).
cnf(d159,plain,
( ~ product('e$u4','e$u1','e$u5')
| ~ cycle('e$u4','e$u0') ),
inference(resolution,[status(thm)],[c25,c19]) ).
cnf(d160,plain,
( cycle('e$u4','e$u4')
| cycle('e$u4','e$u3')
| cycle('e$u4','e$u2')
| cycle('e$u4','e$u1')
| ~ product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d159,d9]) ).
cnf(d161,plain,
( ~ product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u3')
| cycle('e$u4','e$u2')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d14,d160]) ).
cnf(d162,plain,
( ~ product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u3')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d17,d161]) ).
cnf(d163,plain,
( ~ product('e$u4','e$u1','e$u5')
| cycle('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d20,d162]) ).
cnf(d164,plain,
cycle('e$u4','e$u1'),
inference(resolution,[status(thm)],[d144,d163]) ).
cnf(d165,plain,
~ cycle('e$u3','e$u4'),
inference(resolution,[status(thm)],[d164,d158]) ).
cnf(d166,plain,
( cycle('e$u3','e$u3')
| cycle('e$u3','e$u2')
| cycle('e$u3','e$u1')
| cycle('e$u3','e$u0') ),
inference(resolution,[status(thm)],[d165,d34]) ).
cnf(d167,plain,
( equalish('e$u1','e$u2')
| ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u1') ),
inference(resolution,[status(thm)],[d156,c5]) ).
cnf(d168,plain,
( ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u1') ),
inference(resolution,[status(thm)],[c32,d167]) ).
cnf(d169,plain,
~ cycle('e$u3','e$u1'),
inference(resolution,[status(thm)],[d164,d168]) ).
cnf(d170,plain,
( cycle('e$u3','e$u3')
| cycle('e$u3','e$u2')
| cycle('e$u3','e$u0') ),
inference(resolution,[status(thm)],[d169,d166]) ).
cnf(d171,plain,
( equalish('e$u3','e$u2')
| ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[d156,c7]) ).
cnf(d172,plain,
( ~ cycle('e$u4','e$u1')
| ~ cycle('e$u3','e$u3') ),
inference(resolution,[status(thm)],[c41,d171]) ).
cnf(d173,plain,
~ cycle('e$u3','e$u3'),
inference(resolution,[status(thm)],[d164,d172]) ).
cnf(d174,plain,
( cycle('e$u3','e$u2')
| cycle('e$u3','e$u0') ),
inference(resolution,[status(thm)],[d173,d170]) ).
cnf(d175,plain,
( equalish(X0,'e$u1')
| ~ cycle('e$u2',X0)
| ~ cycle('e$u3','e$u0')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d176,plain,
( equalish('e$u4','e$u1')
| ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d175,c8]) ).
cnf(d177,plain,
( ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[c44,d176]) ).
cnf(d178,plain,
( equalish('e$u3','e$u1')
| ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d175,c7]) ).
cnf(d179,plain,
( ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[c40,d178]) ).
cnf(d180,plain,
( equalish('e$u2','e$u1')
| ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d175,c6]) ).
cnf(d181,plain,
( ~ cycle('e$u3','e$u0')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[c36,d180]) ).
cnf(d182,plain,
( ~ product('e$u1','e$u2',X0)
| product(X0,'e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d76,c57]) ).
cnf(d183,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$u1') ),
inference(resolution,[status(thm)],[d90,c28]) ).
cnf(d184,plain,
( equalish('e$u2','e$u1')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d183,d1]) ).
cnf(d185,plain,
( product('e$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$u2') ),
inference(resolution,[status(thm)],[c36,d184]) ).
cnf(d186,plain,
( equalish('e$u1','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d185,d2]) ).
cnf(d187,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c32,d186]) ).
cnf(d188,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d187,d182]) ).
cnf(d189,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d188,d182]) ).
cnf(d190,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d189,d182]) ).
cnf(d191,plain,
( ~ product('e$u2','e$u1',X1)
| equalish(X1,'e$u3')
| ~ cycle('e$u2',X0)
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[c26,c2]) ).
cnf(d192,plain,
( ~ product('e$u2','e$u1',X0)
| equalish(X0,'e$u3')
| ~ cycle('e$u2','e$u1') ),
inference(resolution,[status(thm)],[d191,c5]) ).
cnf(d193,plain,
( cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2')
| cycle('e$u2','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d190,d116]) ).
cnf(d194,plain,
( ~ product('e$u2','e$u1',X0)
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d193,d192]) ).
cnf(d195,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| equalish('e$u4','e$u3')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d194,d190]) ).
cnf(d196,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[c46,d195]) ).
cnf(d197,plain,
( ~ cycle('e$u3','e$u0')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d196,d181]) ).
cnf(d198,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d174,d197]) ).
cnf(d199,plain,
( ~ cycle('e$u3','e$u0')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u3','e$u2')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d198,d179]) ).
cnf(d200,plain,
( cycle('e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u3','e$u2')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d199,d174]) ).
cnf(d201,plain,
( ~ cycle('e$u3','e$u0')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d200,d177]) ).
cnf(d202,plain,
( cycle('e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d201,d174]) ).
cnf(d203,plain,
( equalish(X2,'e$u3')
| ~ cycle(X0,X2)
| ~ cycle(X1,'e$u2')
| ~ greater(X2,'e$u0')
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[c23,c2]) ).
cnf(d204,plain,
( equalish(X0,'e$u3')
| ~ cycle('e$u2',X0)
| ~ cycle('e$u3','e$u2')
| ~ greater(X0,'e$u0') ),
inference(resolution,[status(thm)],[d203,c2]) ).
cnf(d205,plain,
( equalish('e$u4','e$u3')
| ~ cycle('e$u3','e$u2')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d204,c8]) ).
cnf(d206,plain,
( ~ cycle('e$u3','e$u2')
| ~ cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[c46,d205]) ).
cnf(d207,plain,
( ~ product('e$u2','e$u1',X0)
| equalish(X0,'e$u3')
| ~ cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d191,c7]) ).
cnf(d208,plain,
( equalish('e$u2','e$u3')
| ~ cycle('e$u3','e$u2')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[d204,c6]) ).
cnf(d209,plain,
( ~ cycle('e$u3','e$u2')
| ~ cycle('e$u2','e$u2') ),
inference(resolution,[status(thm)],[c37,d208]) ).
cnf(d210,plain,
( ~ cycle('e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d196,d209]) ).
cnf(d211,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4')
| cycle('e$u2','e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d202,d210]) ).
cnf(d212,plain,
( ~ product('e$u2','e$u1',X0)
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d211,d207]) ).
cnf(d213,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| equalish('e$u4','e$u3')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d212,d190]) ).
cnf(d214,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| cycle('e$u2','e$u4') ),
inference(resolution,[status(thm)],[c46,d213]) ).
cnf(d215,plain,
( ~ cycle('e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d214,d206]) ).
cnf(d216,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d215,d202]) ).
cnf(d217,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d216,d154]) ).
cnf(d218,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c38,d217]) ).
cnf(d219,plain,
( equalish('e$u1','e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d218,d0]) ).
cnf(d220,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c33,d219]) ).
cnf(d221,plain,
( ~ product('e$u4',X0,'e$u1')
| equalish(X0,'e$u3')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d220,c54]) ).
cnf(d222,plain,
( ~ product('e$u2','e$u5',X0)
| product(X0,'e$u4','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d152,c57]) ).
cnf(d223,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u2','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d145,d93]) ).
cnf(d224,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u3','e$u4')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d223,c57]) ).
cnf(d225,plain,
( product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d224,d144]) ).
cnf(d226,plain,
( equalish('e$u1','e$u4')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d225,d2]) ).
cnf(d227,plain,
( product('e$u5','e$u3','e$u4')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c34,d226]) ).
cnf(d228,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d227,d145]) ).
cnf(d229,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u4','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d228,d222]) ).
cnf(d230,plain,
( ~ product(X0,'e$u4','e$u2')
| equalish(X0,'e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d229,c55]) ).
cnf(d231,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u3','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d187,c57]) ).
cnf(d232,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d231,d76]) ).
cnf(d233,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d232,c57]) ).
cnf(d234,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d233,d76]) ).
cnf(d235,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d234,c57]) ).
cnf(d236,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d235,d76]) ).
cnf(d237,plain,
( ~ product(X0,'e$u1','e$u4')
| equalish(X0,'e$u2')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d236,c55]) ).
cnf(d238,plain,
( ~ product('e$u1','e$u3',X0)
| product(X0,'e$u2','e$u1')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d39,c57]) ).
cnf(d239,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$u1') ),
inference(resolution,[status(thm)],[d90,c29]) ).
cnf(d240,plain,
( equalish('e$u3','e$u1')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d239,d1]) ).
cnf(d241,plain,
( product('e$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$u2') ),
inference(resolution,[status(thm)],[c40,d240]) ).
cnf(d242,plain,
( ~ product('e$u3','e$u1',X0)
| product(X0,'e$u2','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)],[d241,c57]) ).
cnf(d243,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d242,d39]) ).
cnf(d244,plain,
( equalish('e$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$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d243,d2]) ).
cnf(d245,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c33,d244]) ).
cnf(d246,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u4','e$u2','e$u1')
| product('e$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$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d245,d238]) ).
cnf(d247,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$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$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$u3') ),
inference(resolution,[status(thm)],[d246,d238]) ).
cnf(d248,plain,
( equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d247,d0]) ).
cnf(d249,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c41,d248]) ).
cnf(d250,plain,
( equalish('e$u1','e$u3')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d249,d1]) ).
cnf(d251,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c33,d250]) ).
cnf(d252,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d251,d237]) ).
cnf(d253,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c41,d252]) ).
cnf(d254,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d253,d154]) ).
cnf(d255,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c38,d254]) ).
cnf(d256,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d255,d154]) ).
cnf(d257,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c42,d256]) ).
cnf(d258,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d257,d0]) ).
cnf(d259,plain,
( product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c37,d258]) ).
cnf(d260,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d259,d230]) ).
cnf(d261,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c40,d260]) ).
cnf(d262,plain,
( ~ product('e$u3',X0,'e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d261,c54]) ).
cnf(d263,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d234,d182]) ).
cnf(d264,plain,
( ~ product(X0,'e$u1','e$u4')
| equalish(X0,'e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d263,c55]) ).
cnf(d265,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u2','e$u1','e$u5')
| equalish('e$u3','e$u2')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d251,d264]) ).
cnf(d266,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c41,d265]) ).
cnf(d267,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d266,d154]) ).
cnf(d268,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c38,d267]) ).
cnf(d269,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d268,d154]) ).
cnf(d270,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c42,d269]) ).
cnf(d271,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d270,d0]) ).
cnf(d272,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c37,d271]) ).
cnf(d273,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| equalish('e$u4','e$u5')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d272,d262]) ).
cnf(d274,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c47,d273]) ).
cnf(d275,plain,
( product('e$u5','e$u3','e$u1')
| equalish('e$u2','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d274,d221]) ).
cnf(d276,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c37,d275]) ).
cnf(d277,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u1','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d276,d153]) ).
cnf(d278,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c34,d277]) ).
cnf(d279,plain,
( ~ product(X0,'e$u3','e$u1')
| equalish(X0,'e$u5')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d278,c55]) ).
cnf(d280,plain,
( ~ product('e$u4','e$u1',X0)
| equalish(X0,'e$u5') ),
inference(resolution,[status(thm)],[d144,c53]) ).
cnf(d281,plain,
( product('e$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)],[d36,c28]) ).
cnf(d282,plain,
( ~ product('e$u2','e$u3',X0)
| product(X0,'e$u1','e$u2')
| 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') ),
inference(resolution,[status(thm)],[d281,c57]) ).
cnf(d283,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$u1') ),
inference(resolution,[status(thm)],[d71,c29]) ).
cnf(d284,plain,
( ~ product('e$u3','e$u2',X0)
| product(X0,'e$u1','e$u3')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d283,c57]) ).
cnf(d285,plain,
( product('e$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$u2')
| product('e$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$u2')
| product('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d284,d281]) ).
cnf(d286,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$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)],[d285,d0]) ).
cnf(d287,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$u2','e$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)],[c40,d286]) ).
cnf(d288,plain,
( equalish('e$u3','e$u2')
| 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$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d287,d1]) ).
cnf(d289,plain,
( product('e$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$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c41,d288]) ).
cnf(d290,plain,
( equalish('e$u2','e$u3')
| 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$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d289,d2]) ).
cnf(d291,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$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c37,d290]) ).
cnf(d292,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$u4','e$u1','e$u2')
| product('e$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$u2')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d291,d282]) ).
cnf(d293,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$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| 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') ),
inference(resolution,[status(thm)],[d292,d282]) ).
cnf(d294,plain,
( equalish('e$u3','e$u2')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d293,d2]) ).
cnf(d295,plain,
( product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c41,d294]) ).
cnf(d296,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d295,d1]) ).
cnf(d297,plain,
( product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c37,d296]) ).
cnf(d298,plain,
( ~ product(X0,'e$u2','e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d297,c55]) ).
cnf(d299,plain,
( product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5')
| equalish('e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d152,d298]) ).
cnf(d300,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c50,d299]) ).
cnf(d301,plain,
( ~ product('e$u2',X0,'e$u1')
| equalish(X0,'e$u3')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d283,c54]) ).
cnf(d302,plain,
( product('e$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$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d228,d301]) ).
cnf(d303,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c50,d302]) ).
cnf(d304,plain,
( equalish('e$u3','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d303,d1]) ).
cnf(d305,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c41,d304]) ).
cnf(d306,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d305,d2]) ).
cnf(d307,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c37,d306]) ).
cnf(d308,plain,
( ~ product('e$u2',X0,'e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d307,c54]) ).
cnf(d309,plain,
( ~ product(X0,'e$u2','e$u4')
| equalish(X0,'e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d188,c55]) ).
cnf(d310,plain,
( product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5')
| equalish('e$u5','e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d152,d309]) ).
cnf(d311,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c48,d310]) ).
cnf(d312,plain,
( ~ product('e$u1',X0,'e$u2')
| 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') ),
inference(resolution,[status(thm)],[d241,c54]) ).
cnf(d313,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| equalish('e$u4','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d229,d312]) ).
cnf(d314,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c46,d313]) ).
cnf(d315,plain,
( equalish('e$u1','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d314,d2]) ).
cnf(d316,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c33,d315]) ).
cnf(d317,plain,
( ~ product(X0,'e$u3','e$u4')
| equalish(X0,'e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d316,c55]) ).
cnf(d318,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u1','e$u3','e$u5')
| equalish('e$u2','e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d307,d317]) ).
cnf(d319,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c36,d318]) ).
cnf(d320,plain,
( ~ product('e$u1',X0,'e$u5')
| equalish(X0,'e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d319,c54]) ).
cnf(d321,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| equalish('e$u2','e$u3') ),
inference(resolution,[status(thm)],[d320,d311]) ).
cnf(d322,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c37,d321]) ).
cnf(d323,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5')
| equalish('e$u1','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d322,d308]) ).
cnf(d324,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c33,d323]) ).
cnf(d325,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d324,d154]) ).
cnf(d326,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c38,d325]) ).
cnf(d327,plain,
( ~ product('e$u3','e$u2',X0)
| product(X0,'e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d326,c57]) ).
cnf(d328,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d327,d300]) ).
cnf(d329,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d328,d279]) ).
cnf(d330,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c43,d329]) ).
cnf(d331,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d330,d280]) ).
cnf(d332,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c39,d331]) ).
cnf(d333,plain,
( ~ product(X0,'e$u1','e$u2')
| equalish(X0,'e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d332,c55]) ).
cnf(d334,plain,
( ~ product('e$u2',X0,'e$u5')
| equalish(X0,'e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d326,c54]) ).
cnf(d335,plain,
( product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d71,c30]) ).
cnf(d336,plain,
( ~ product('e$u2',X0,'e$u1')
| equalish(X0,'e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d335,c54]) ).
cnf(d337,plain,
( product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| equalish('e$u5','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d228,d336]) ).
cnf(d338,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c51,d337]) ).
cnf(d339,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u2','e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d338,d230]) ).
cnf(d340,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c36,d339]) ).
cnf(d341,plain,
( ~ product('e$u5','e$u3',X0)
| product(X0,'e$u2','e$u5')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d261,c57]) ).
cnf(d342,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d278,d341]) ).
cnf(d343,plain,
( ~ product('e$u1',X0,'e$u5')
| equalish(X0,'e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d342,c54]) ).
cnf(d344,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| equalish('e$u3','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d319,d343]) ).
cnf(d345,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c41,d344]) ).
cnf(d346,plain,
( ~ product('e$u2',X0,'e$u5')
| equalish(X0,'e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d345,c54]) ).
cnf(d347,plain,
( ~ product('e$u3','e$u5',X0)
| product(X0,'e$u1','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d278,c57]) ).
cnf(d348,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d347,d261]) ).
cnf(d349,plain,
( ~ product('e$u2',X0,'e$u3')
| equalish(X0,'e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d348,c54]) ).
cnf(d350,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| equalish('e$u4','e$u1')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d340,d349]) ).
cnf(d351,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c44,d350]) ).
cnf(d352,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d351,d2]) ).
cnf(d353,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c38,d352]) ).
cnf(d354,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1')
| equalish('e$u4','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d353,d346]) ).
cnf(d355,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c46,d354]) ).
cnf(d356,plain,
( ~ product('e$u2','e$u4',X0)
| product(X0,'e$u1','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d355,c57]) ).
cnf(d357,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d356,d340]) ).
cnf(d358,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u1','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d357,d2]) ).
cnf(d359,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u1','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c38,d358]) ).
cnf(d360,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u3','e$u3','e$u1')
| equalish('e$u4','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d359,d334]) ).
cnf(d361,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c46,d360]) ).
cnf(d362,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d361,d333]) ).
cnf(d363,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c43,d362]) ).
cnf(d364,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d363,d279]) ).
cnf(d365,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c43,d364]) ).
cnf(d366,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4')
| equalish('e$u1','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d365,d153]) ).
cnf(d367,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c34,d366]) ).
cnf(d368,plain,
( ~ product('e$u5','e$u3',X0)
| equalish(X0,'e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d367,c53]) ).
cnf(d369,plain,
( ~ product('e$u5',X0,'e$u4')
| equalish(X0,'e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d367,c54]) ).
cnf(d370,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$u2') ),
inference(resolution,[status(thm)],[d283,c55]) ).
cnf(d371,plain,
( product('e$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$u2')
| equalish('e$u4','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d220,d370]) ).
cnf(d372,plain,
( product('e$u5','e$u3','e$u1')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c45,d371]) ).
cnf(d373,plain,
( equalish('e$u3','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d372,d1]) ).
cnf(d374,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c41,d373]) ).
cnf(d375,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d374,d2]) ).
cnf(d376,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c37,d375]) ).
cnf(d377,plain,
( ~ product(X0,'e$u3','e$u4')
| equalish(X0,'e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d376,c55]) ).
cnf(d378,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| equalish('e$u5','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d367,d377]) ).
cnf(d379,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c49,d378]) ).
cnf(d380,plain,
( ~ product('e$u3','e$u2',X0)
| product(X0,'e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d379,c57]) ).
cnf(d381,plain,
( ~ product('e$u3',X0,'e$u1')
| equalish(X0,'e$u2')
| 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') ),
inference(resolution,[status(thm)],[d281,c54]) ).
cnf(d382,plain,
( product('e$u3','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d147,d145]) ).
cnf(d383,plain,
( equalish('e$u1','e$u4')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d382,d2]) ).
cnf(d384,plain,
( product('e$u5','e$u2','e$u4')
| product('e$u3','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c34,d383]) ).
cnf(d385,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d384,d145]) ).
cnf(d386,plain,
( product('e$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$u2')
| equalish('e$u5','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d385,d381]) ).
cnf(d387,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c49,d386]) ).
cnf(d388,plain,
( equalish('e$u3','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d387,d2]) ).
cnf(d389,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c41,d388]) ).
cnf(d390,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d389,d1]) ).
cnf(d391,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c37,d390]) ).
cnf(d392,plain,
( ~ product('e$u2','e$u3',X0)
| product(X0,'e$u4','e$u2')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d391,c57]) ).
cnf(d393,plain,
( product('e$u5','e$u5','e$u1')
| product('e$u5','e$u2','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u5','e$u4','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d379,d392]) ).
cnf(d394,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u2')
| product('e$u5','e$u3','e$u1')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d393,d380]) ).
cnf(d395,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| equalish('e$u2','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d394,d369]) ).
cnf(d396,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c37,d395]) ).
cnf(d397,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| equalish('e$u1','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d396,d368]) ).
cnf(d398,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c34,d397]) ).
cnf(d399,plain,
( ~ product('e$u5','e$u4',X0)
| equalish(X0,'e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d398,c53]) ).
cnf(d400,plain,
( ~ product('e$u3','e$u4',X0)
| product(X0,'e$u1','e$u3')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d220,c57]) ).
cnf(d401,plain,
( ~ product(X0,'e$u3','e$u1')
| equalish(X0,'e$u4')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d220,c55]) ).
cnf(d402,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d188,c57]) ).
cnf(d403,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u1','e$u2','e$u5')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d402,d76]) ).
cnf(d404,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d403,d182]) ).
cnf(d405,plain,
( ~ product('e$u1','e$u2',X0)
| product(X0,'e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d404,c57]) ).
cnf(d406,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d405,d187]) ).
cnf(d407,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u4','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d406,d405]) ).
cnf(d408,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d407,d405]) ).
cnf(d409,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1')
| product('e$u3','e$u3','e$u1')
| equalish('e$u2','e$u4') ),
inference(resolution,[status(thm)],[d154,d408]) ).
cnf(d410,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c38,d409]) ).
cnf(d411,plain,
( product('e$u5','e$u3','e$u1')
| equalish('e$u3','e$u4')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d410,d401]) ).
cnf(d412,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c42,d411]) ).
cnf(d413,plain,
( product('e$u5','e$u3','e$u1')
| product('e$u1','e$u1','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d412,d400]) ).
cnf(d414,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d413,d0]) ).
cnf(d415,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c40,d414]) ).
cnf(d416,plain,
( ~ product(X0,'e$u4','e$u2')
| equalish(X0,'e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d415,c55]) ).
cnf(d417,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1')
| equalish('e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d398,d416]) ).
cnf(d418,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c50,d417]) ).
cnf(d419,plain,
( product('e$u5','e$u3','e$u1')
| equalish('e$u4','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d418,d221]) ).
cnf(d420,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c46,d419]) ).
cnf(d421,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| equalish('e$u1','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d420,d368]) ).
cnf(d422,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| product('e$u5','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c34,d421]) ).
cnf(d423,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1')
| equalish('e$u1','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d422,d399]) ).
cnf(d424,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u1') ),
inference(resolution,[status(thm)],[c32,d423]) ).
cnf(d425,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d424,d0]) ).
cnf(d426,plain,
product('e$u5','e$u5','e$u3'),
inference(resolution,[status(thm)],[c35,d425]) ).
cnf(d427,plain,
equalish('e$u3','e$u5'),
inference(resolution,[status(thm)],[d426,d0]) ).
cnf(d428,plain,
$false,
inference(resolution,[status(thm)],[c43,d427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP125-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.79 % Computer : n010.cluster.edu
% 0.12/10.79 % Model : x86_64 x86_64
% 0.12/10.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.79 % Memory : 8046.5625MB
% 0.12/10.79 % OS : Linux 6.8.0-71-generic
% 0.12/10.79 % CPULimit : 300
% 0.12/10.79 % WCLimit : 300
% 0.12/10.79 % DateTime : Fri Sep 25 14:26:44 UTC 2026
% 0.12/10.79 % CPUTime :
% 0.12/10.79 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.08/21.88 % SZS status Unsatisfiable for theBenchmark.p
% 74.08/21.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------