%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP129-2.004 : 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 : n001.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 07:22:50 AM UTC 2026
% Result : Unsatisfiable 37.04s 6.22s
% Output : CNFRefutation 37.04s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
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_greater_e_2,axiom,
greater('e$u3','e$u2') ).
cnf(e_4_greater_e_2,axiom,
greater('e$u4','e$u2') ).
cnf(e_4_greater_e_3,axiom,
greater('e$u4','e$u3') ).
cnf(no_redundancy,axiom,
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,'e$u1',X1) ) ).
cnf(element_1,axiom,
'group$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$u4') ).
cnf(e_2_is_not_e_1,axiom,
~ equalish('e$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$u4') ).
cnf(e_3_is_not_e_1,axiom,
~ equalish('e$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$u4') ).
cnf(e_4_is_not_e_1,axiom,
~ equalish('e$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$u3') ).
cnf(product_total_function1,axiom,
( product(X0,X1,'e$u4')
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0) ) ).
cnf(product_total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ) ).
cnf(qg3,negated_conjecture,
( product(X2,X0,X3)
| ~ product(X1,X2,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c0,plain,
next('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_then_e_2]) ).
cnf(c1,plain,
next('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_then_e_3]) ).
cnf(c6,plain,
greater('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_greater_e_2]) ).
cnf(c7,plain,
greater('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_greater_e_2]) ).
cnf(c8,plain,
greater('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_greater_e_3]) ).
cnf(c9,plain,
( ~ greater(X2,X1)
| ~ product(X0,'e$u1',X2)
| ~ next(X0,X1) ),
inference(clausification,[status(esa)],[no_redundancy]) ).
cnf(c10,plain,
'group$uelement'('e$u1'),
inference(clausification,[status(esa)],[element_1]) ).
cnf(c11,plain,
'group$uelement'('e$u2'),
inference(clausification,[status(esa)],[element_2]) ).
cnf(c12,plain,
'group$uelement'('e$u3'),
inference(clausification,[status(esa)],[element_3]) ).
cnf(c13,plain,
'group$uelement'('e$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c14,plain,
~ equalish('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_is_not_e_2]) ).
cnf(c15,plain,
~ equalish('e$u1','e$u3'),
inference(clausification,[status(esa)],[e_1_is_not_e_3]) ).
cnf(c16,plain,
~ equalish('e$u1','e$u4'),
inference(clausification,[status(esa)],[e_1_is_not_e_4]) ).
cnf(c17,plain,
~ equalish('e$u2','e$u1'),
inference(clausification,[status(esa)],[e_2_is_not_e_1]) ).
cnf(c18,plain,
~ equalish('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_is_not_e_3]) ).
cnf(c19,plain,
~ equalish('e$u2','e$u4'),
inference(clausification,[status(esa)],[e_2_is_not_e_4]) ).
cnf(c20,plain,
~ equalish('e$u3','e$u1'),
inference(clausification,[status(esa)],[e_3_is_not_e_1]) ).
cnf(c21,plain,
~ equalish('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_is_not_e_2]) ).
cnf(c22,plain,
~ equalish('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_is_not_e_4]) ).
cnf(c23,plain,
~ equalish('e$u4','e$u1'),
inference(clausification,[status(esa)],[e_4_is_not_e_1]) ).
cnf(c24,plain,
~ equalish('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_is_not_e_2]) ).
cnf(c25,plain,
~ equalish('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_is_not_e_3]) ).
cnf(c26,plain,
( ~ 'group$uelement'(X1)
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X0)
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2') ),
inference(clausification,[status(esa)],[product_total_function1]) ).
cnf(c27,plain,
( equalish(X3,X2)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_total_function2]) ).
cnf(c28,plain,
( equalish(X3,X1)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_right_cancellation]) ).
cnf(c29,plain,
( equalish(X3,X0)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_left_cancellation]) ).
cnf(c30,plain,
( product(X1,X3,X2)
| ~ product(X3,X0,X1)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg3]) ).
cnf(d0,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u2','e$u4')
| product(X0,'e$u2','e$u3')
| product(X0,'e$u2','e$u2')
| product(X0,'e$u2','e$u1') ),
inference(resolution,[status(thm)],[c26,c11]) ).
cnf(d1,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u1','e$u4')
| product(X0,'e$u1','e$u3')
| product(X0,'e$u1','e$u2')
| product(X0,'e$u1','e$u1') ),
inference(resolution,[status(thm)],[c26,c10]) ).
cnf(d3,plain,
( product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
( ~ product('e$u1','e$u1',X0)
| ~ greater(X0,'e$u2') ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d5,plain,
~ product('e$u1','e$u1','e$u3'),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( product('e$u1','e$u1','e$u4')
| product('e$u1','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
~ product('e$u1','e$u1','e$u4'),
inference(resolution,[status(thm)],[d4,c7]) ).
cnf(d8,plain,
( product('e$u1','e$u1','e$u2')
| product('e$u1','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u1','e$u1')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d8,c29]) ).
cnf(d10,plain,
( 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)],[d2,c11]) ).
cnf(d11,plain,
( ~ product('e$u2','e$u1',X0)
| ~ greater(X0,'e$u3') ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(d12,plain,
~ product('e$u2','e$u1','e$u4'),
inference(resolution,[status(thm)],[d11,c8]) ).
cnf(d13,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( equalish('e$u1','e$u2')
| product('e$u1','e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c14,d14]) ).
cnf(d16,plain,
( equalish(X0,'e$u1')
| ~ product('e$u1',X0,'e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d15,c28]) ).
cnf(d17,plain,
( ~ product(X0,'e$u1','e$u1')
| product('e$u1',X0,'e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d15,c30]) ).
cnf(d18,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c17,d19]) ).
cnf(d21,plain,
( equalish('e$u2',X0)
| ~ product('e$u2','e$u1',X0)
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d20,c27]) ).
cnf(d22,plain,
( ~ product(X0,'e$u4','e$u2')
| product('e$u2',X0,'e$u1')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d1,c30]) ).
cnf(d23,plain,
( ~ product(X0,'e$u2','e$u1')
| product('e$u1',X0,'e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d20,c30]) ).
cnf(d24,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d23,d1]) ).
cnf(d25,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u1','e$u1')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d24,d22]) ).
cnf(d26,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d26]) ).
cnf(d28,plain,
( ~ product(X0,'e$u2','e$u1')
| product('e$u1',X0,'e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d27,c30]) ).
cnf(d29,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d28,d1]) ).
cnf(d30,plain,
( ~ product(X0,'e$u1','e$u4')
| product('e$u4',X0,'e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d29,c30]) ).
cnf(d31,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d27,c29]) ).
cnf(d32,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d20,c29]) ).
cnf(d33,plain,
( 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)],[d2,c13]) ).
cnf(d34,plain,
( equalish('e$u1','e$u4')
| product('e$u1','e$u1','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d33,d9]) ).
cnf(d35,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c16,d34]) ).
cnf(d36,plain,
( equalish(X0,'e$u1')
| ~ product('e$u1',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d35,c28]) ).
cnf(d37,plain,
( ~ product(X0,'e$u1','e$u1')
| product('e$u1',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d35,c30]) ).
cnf(d38,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d37,d33]) ).
cnf(d39,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d38,d36]) ).
cnf(d40,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c23,d39]) ).
cnf(d41,plain,
( equalish('e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d40,d32]) ).
cnf(d42,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c19,d41]) ).
cnf(d43,plain,
( equalish(X0,'e$u1')
| ~ product('e$u2',X0,'e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d42,c28]) ).
cnf(d44,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u4','e$u4')
| product(X0,'e$u4','e$u3')
| product(X0,'e$u4','e$u2')
| product(X0,'e$u4','e$u1') ),
inference(resolution,[status(thm)],[c26,c13]) ).
cnf(d45,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d44,c11]) ).
cnf(d46,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d40,c30]) ).
cnf(d47,plain,
( product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
( equalish(X0,'e$u1')
| ~ product('e$u1',X0,'e$u1')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d8,c28]) ).
cnf(d49,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d50,plain,
( equalish('e$u2','e$u1')
| product('e$u1','e$u1','e$u2')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d49,d48]) ).
cnf(d51,plain,
( product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c17,d50]) ).
cnf(d52,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u1','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d40,c29]) ).
cnf(d53,plain,
( product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c23,d53]) ).
cnf(d55,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d54,c30]) ).
cnf(d56,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d55,d40]) ).
cnf(d57,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d56,c30]) ).
cnf(d58,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u2','e$u4','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d57,d40]) ).
cnf(d59,plain,
( equalish('e$u4',X0)
| ~ product('e$u1','e$u2',X0)
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d58,c27]) ).
cnf(d60,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| equalish('e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d59,d47]) ).
cnf(d61,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c24,d60]) ).
cnf(d62,plain,
( ~ product(X0,'e$u2','e$u4')
| product('e$u4',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d61,c30]) ).
cnf(d63,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d64,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d63,c30]) ).
cnf(d65,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d23,d63]) ).
cnf(d66,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d65,d64]) ).
cnf(d67,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d66,d21]) ).
cnf(d68,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d67]) ).
cnf(d69,plain,
( ~ product(X0,'e$u2','e$u1')
| product('e$u1',X0,'e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d68,c30]) ).
cnf(d70,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d69,d63]) ).
cnf(d71,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d70,c30]) ).
cnf(d72,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d71,d40]) ).
cnf(d73,plain,
( equalish(X0,'e$u4')
| ~ product('e$u2',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d61,c28]) ).
cnf(d74,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| equalish('e$u2','e$u4')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d73,d72]) ).
cnf(d75,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c19,d74]) ).
cnf(d76,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d75,d43]) ).
cnf(d77,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c17,d76]) ).
cnf(d78,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d77,d62]) ).
cnf(d79,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d78,d43]) ).
cnf(d80,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c23,d79]) ).
cnf(d81,plain,
( equalish('e$u4',X0)
| ~ product('e$u2','e$u4',X0)
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d80,c27]) ).
cnf(d82,plain,
( ~ product(X0,'e$u2','e$u4')
| product('e$u4',X0,'e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d80,c30]) ).
cnf(d83,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d82,d58]) ).
cnf(d84,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d83,d81]) ).
cnf(d85,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c24,d84]) ).
cnf(d86,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d85,d81]) ).
cnf(d87,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c25,d86]) ).
cnf(d88,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d87,d31]) ).
cnf(d89,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c19,d88]) ).
cnf(d90,plain,
( product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d89,d30]) ).
cnf(d91,plain,
( equalish(X0,'e$u2')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d90,c28]) ).
cnf(d92,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d87,c29]) ).
cnf(d93,plain,
( equalish(X0,'e$u1')
| ~ product('e$u2',X0,'e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d20,c28]) ).
cnf(d94,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d68,c29]) ).
cnf(d95,plain,
( equalish('e$u2','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d87,d94]) ).
cnf(d96,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c19,d95]) ).
cnf(d97,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d96,d93]) ).
cnf(d98,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d97]) ).
cnf(d99,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d98,d92]) ).
cnf(d100,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d99]) ).
cnf(d101,plain,
( equalish(X0,'e$u2')
| ~ product('e$u2',X0,'e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d100,c28]) ).
cnf(d102,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d100,c29]) ).
cnf(d103,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d51,d32]) ).
cnf(d104,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c17,d103]) ).
cnf(d105,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d100,c30]) ).
cnf(d106,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d105,d104]) ).
cnf(d107,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d106,d102]) ).
cnf(d108,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c17,d107]) ).
cnf(d109,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d108,c30]) ).
cnf(d110,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d109,d20]) ).
cnf(d111,plain,
( equalish('e$u1','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d110,d101]) ).
cnf(d112,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c14,d111]) ).
cnf(d113,plain,
( equalish('e$u4',X0)
| ~ product('e$u2','e$u2',X0)
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d112,c27]) ).
cnf(d114,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d104,c30]) ).
cnf(d115,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d114,d20]) ).
cnf(d116,plain,
( ~ product(X0,'e$u1','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d115,c30]) ).
cnf(d117,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d116,d20]) ).
cnf(d118,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d117,c29]) ).
cnf(d119,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d112,d118]) ).
cnf(d120,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c14,d119]) ).
cnf(d121,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d120,d92]) ).
cnf(d122,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c24,d121]) ).
cnf(d123,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d122,d113]) ).
cnf(d124,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d123]) ).
cnf(d125,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d124,d113]) ).
cnf(d126,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d125]) ).
cnf(d127,plain,
( equalish('e$u4',X0)
| ~ product('e$u4','e$u1',X0)
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d126,c27]) ).
cnf(d128,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d44,c13]) ).
cnf(d129,plain,
( ~ product(X0,'e$u4','e$u4')
| product('e$u4',X0,'e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d128,c30]) ).
cnf(d130,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u4')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d126,c30]) ).
cnf(d131,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d130,d128]) ).
cnf(d132,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d131,d129]) ).
cnf(d133,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d132,d127]) ).
cnf(d134,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c23,d133]) ).
cnf(d135,plain,
( equalish('e$u2',X0)
| ~ product('e$u4','e$u2',X0)
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d134,c27]) ).
cnf(d136,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u4','e$u1')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d45,c29]) ).
cnf(d137,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| equalish('e$u2','e$u4')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d136,d128]) ).
cnf(d138,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c19,d137]) ).
cnf(d139,plain,
( equalish(X0,'e$u4')
| ~ product('e$u2',X0,'e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d138,c28]) ).
cnf(d140,plain,
( ~ product(X0,'e$u4','e$u2')
| product('e$u2',X0,'e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d134,c30]) ).
cnf(d141,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d140,d138]) ).
cnf(d142,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d141,d139]) ).
cnf(d143,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c19,d142]) ).
cnf(d144,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d143,c29]) ).
cnf(d145,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d40,c28]) ).
cnf(d146,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d134,d145]) ).
cnf(d147,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d146]) ).
cnf(d148,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d147,c30]) ).
cnf(d149,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d148,d128]) ).
cnf(d150,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d149,d144]) ).
cnf(d151,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c17,d150]) ).
cnf(d152,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d151,d129]) ).
cnf(d153,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d152,c28]) ).
cnf(d154,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u3','e$u4')
| product(X0,'e$u3','e$u3')
| product(X0,'e$u3','e$u2')
| product(X0,'e$u3','e$u1') ),
inference(resolution,[status(thm)],[c26,c12]) ).
cnf(d155,plain,
( product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d154,c13]) ).
cnf(d156,plain,
( equalish(X0,'e$u3')
| ~ product('e$u4',X0,'e$u1')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d155,c28]) ).
cnf(d157,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| equalish('e$u4','e$u3')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d156,d128]) ).
cnf(d158,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c25,d157]) ).
cnf(d159,plain,
( equalish(X0,'e$u3')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d158,c28]) ).
cnf(d160,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d134,d159]) ).
cnf(d161,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c18,d160]) ).
cnf(d162,plain,
( equalish(X0,'e$u3')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d161,c28]) ).
cnf(d163,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| equalish('e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d162,d147]) ).
cnf(d164,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c15,d163]) ).
cnf(d165,plain,
( equalish('e$u4',X0)
| ~ product('e$u4','e$u1',X0)
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d164,c27]) ).
cnf(d166,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d164,c30]) ).
cnf(d167,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d166,d128]) ).
cnf(d168,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d167,d129]) ).
cnf(d169,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d168,d165]) ).
cnf(d170,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c23,d169]) ).
cnf(d171,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d170,d153]) ).
cnf(d172,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c20,d171]) ).
cnf(d173,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d172,d135]) ).
cnf(d174,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c17,d173]) ).
cnf(d175,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d174,d91]) ).
cnf(d176,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d175]) ).
cnf(d177,plain,
( equalish(X0,'e$u2')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d176,c28]) ).
cnf(d178,plain,
( equalish(X0,'e$u4')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d174,c28]) ).
cnf(d179,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u4')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d126,c28]) ).
cnf(d180,plain,
( equalish('e$u3',X0)
| ~ product('e$u4','e$u2',X0)
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d176,c27]) ).
cnf(d181,plain,
( ~ product(X0,'e$u4','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d176,c30]) ).
cnf(d182,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d181,d174]) ).
cnf(d183,plain,
( ~ product(X0,'e$u2','e$u4')
| product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d182,c30]) ).
cnf(d184,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d0,c12]) ).
cnf(d185,plain,
( ~ product(X0,'e$u3','e$u2')
| product('e$u2',X0,'e$u1')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d184,c30]) ).
cnf(d186,plain,
( 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$u1','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d23,d184]) ).
cnf(d187,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u2','e$u1','e$u1')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d186,d185]) ).
cnf(d188,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| 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$u1','e$u3') ),
inference(resolution,[status(thm)],[d187,d21]) ).
cnf(d189,plain,
( 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$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d188]) ).
cnf(d190,plain,
( ~ product(X0,'e$u2','e$u1')
| product('e$u1',X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d189,c30]) ).
cnf(d191,plain,
( product('e$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$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d190,d184]) ).
cnf(d192,plain,
( ~ product(X0,'e$u1','e$u3')
| product('e$u3',X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d191,c30]) ).
cnf(d193,plain,
( product('e$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$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d192,d189]) ).
cnf(d194,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u2','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d193,c29]) ).
cnf(d195,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d196,plain,
( equalish('e$u1','e$u3')
| product('e$u1','e$u1','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d195,d9]) ).
cnf(d197,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c15,d196]) ).
cnf(d198,plain,
( equalish(X0,'e$u1')
| ~ product('e$u1',X0,'e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d197,c28]) ).
cnf(d199,plain,
( ~ product(X0,'e$u1','e$u1')
| product('e$u1',X0,'e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d197,c30]) ).
cnf(d200,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d199,d195]) ).
cnf(d201,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d200,d198]) ).
cnf(d202,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c20,d201]) ).
cnf(d203,plain,
( equalish(X0,'e$u1')
| ~ product('e$u3',X0,'e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d202,c28]) ).
cnf(d204,plain,
( equalish('e$u2','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d193,d203]) ).
cnf(d205,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d204]) ).
cnf(d206,plain,
( equalish('e$u2','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d205,d94]) ).
cnf(d207,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c18,d206]) ).
cnf(d208,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d207,d194]) ).
cnf(d209,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c21,d208]) ).
cnf(d210,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d209,c30]) ).
cnf(d211,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d210,d193]) ).
cnf(d212,plain,
( equalish(X0,'e$u2')
| ~ product('e$u2',X0,'e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d211,c28]) ).
cnf(d213,plain,
( equalish(X0,'e$u2')
| ~ product('e$u2',X0,'e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d209,c28]) ).
cnf(d214,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d211,c30]) ).
cnf(d215,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d214,d193]) ).
cnf(d216,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d215,d213]) ).
cnf(d217,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c21,d216]) ).
cnf(d218,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d217,c30]) ).
cnf(d219,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d218,d193]) ).
cnf(d220,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d219,d212]) ).
cnf(d221,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c21,d220]) ).
cnf(d222,plain,
( equalish('e$u4',X0)
| ~ product('e$u2','e$u3',X0)
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d219,c27]) ).
cnf(d223,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4')
| equalish('e$u4','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d222,d221]) ).
cnf(d224,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d223]) ).
cnf(d225,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d224,c29]) ).
cnf(d226,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d126,d225]) ).
cnf(d227,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c22,d226]) ).
cnf(d228,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d227,c29]) ).
cnf(d229,plain,
( equalish('e$u3','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d176,d228]) ).
cnf(d230,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c22,d229]) ).
cnf(d231,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d230,d183]) ).
cnf(d232,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d231,d180]) ).
cnf(d233,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c21,d232]) ).
cnf(d234,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d233,d179]) ).
cnf(d235,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c17,d234]) ).
cnf(d236,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d235,d178]) ).
cnf(d237,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c19,d236]) ).
cnf(d238,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d237,d177]) ).
cnf(d239,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c21,d238]) ).
cnf(d240,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d174,d145]) ).
cnf(d241,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c23,d240]) ).
cnf(d242,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d241,c28]) ).
cnf(d243,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d237,d242]) ).
cnf(d244,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c20,d243]) ).
cnf(d245,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d244,c28]) ).
cnf(d246,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3')
| equalish('e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d245,d239]) ).
cnf(d247,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c17,d246]) ).
cnf(d248,plain,
( equalish('e$u3',X0)
| ~ product('e$u4','e$u4',X0)
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d247,c27]) ).
cnf(d249,plain,
( ~ product(X0,'e$u4','e$u4')
| product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d247,c30]) ).
cnf(d250,plain,
( 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)],[d44,c10]) ).
cnf(d251,plain,
( product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d130,d250]) ).
cnf(d252,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d7,d251]) ).
cnf(d253,plain,
( ~ product(X0,'e$u1','e$u4')
| product('e$u4',X0,'e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d252,c30]) ).
cnf(d254,plain,
( product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u4','e$u2')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d253,d126]) ).
cnf(d255,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u4','e$u3')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d254,c29]) ).
cnf(d256,plain,
( equalish('e$u1','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d247,d255]) ).
cnf(d257,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c16,d256]) ).
cnf(d258,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d257,d249]) ).
cnf(d259,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d258,d127]) ).
cnf(d260,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c25,d259]) ).
cnf(d261,plain,
( equalish('e$u2',X0)
| ~ product('e$u4','e$u2',X0)
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d260,c27]) ).
cnf(d262,plain,
( equalish(X0,'e$u4')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d247,c28]) ).
cnf(d263,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d260,d145]) ).
cnf(d264,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d263]) ).
cnf(d265,plain,
( equalish('e$u1','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d264,d262]) ).
cnf(d266,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c16,d265]) ).
cnf(d267,plain,
( equalish('e$u4',X0)
| ~ product('e$u4','e$u1',X0)
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d266,c27]) ).
cnf(d268,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d266,c30]) ).
cnf(d269,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u4','e$u3')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d247,c29]) ).
cnf(d270,plain,
( equalish('e$u4','e$u1')
| product('e$u1','e$u1','e$u2')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d250,d48]) ).
cnf(d271,plain,
( 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$u1','e$u2') ),
inference(resolution,[status(thm)],[c23,d270]) ).
cnf(d272,plain,
( equalish('e$u2','e$u1')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d271,d32]) ).
cnf(d273,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c17,d272]) ).
cnf(d274,plain,
( ~ product(X0,'e$u1','e$u4')
| product('e$u4',X0,'e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d273,c30]) ).
cnf(d275,plain,
( product('e$u4','e$u4','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d266,d274]) ).
cnf(d276,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d275,d269]) ).
cnf(d277,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c23,d276]) ).
cnf(d278,plain,
( ~ product(X0,'e$u1','e$u4')
| product('e$u4',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d277,c30]) ).
cnf(d279,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d278,d266]) ).
cnf(d280,plain,
( equalish(X0,'e$u1')
| ~ product('e$u2',X0,'e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d279,c28]) ).
cnf(d281,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u2','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d260,c29]) ).
cnf(d282,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d260,d64]) ).
cnf(d283,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d282,d281]) ).
cnf(d284,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d283]) ).
cnf(d285,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d284,d280]) ).
cnf(d286,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c17,d285]) ).
cnf(d287,plain,
( ~ product(X0,'e$u2','e$u2')
| product('e$u2',X0,'e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d286,c30]) ).
cnf(d288,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d287,d260]) ).
cnf(d289,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u1','e$u2','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d288,d268]) ).
cnf(d290,plain,
( ~ product(X0,'e$u2','e$u4')
| product('e$u4',X0,'e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d288,c30]) ).
cnf(d291,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u2','e$u4','e$u4')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u1')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d290,d289]) ).
cnf(d292,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d291,d249]) ).
cnf(d293,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d292,d267]) ).
cnf(d294,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c23,d293]) ).
cnf(d295,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d294,d261]) ).
cnf(d296,plain,
( product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c18,d295]) ).
cnf(d297,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u4','e$u4')
| product('e$u4','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d296,d248]) ).
cnf(d298,plain,
product('e$u4','e$u4','e$u4'),
inference(resolution,[status(thm)],[c21,d297]) ).
cnf(d299,plain,
( equalish(X0,'e$u4')
| ~ product('e$u4',X0,'e$u4') ),
inference(resolution,[status(thm)],[d298,c28]) ).
cnf(d300,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d298,d179]) ).
cnf(d301,plain,
product('e$u4','e$u2','e$u2'),
inference(resolution,[status(thm)],[c23,d300]) ).
cnf(d302,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d301,d145]) ).
cnf(d303,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c17,d302]) ).
cnf(d304,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u1','e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d303,c29]) ).
cnf(d305,plain,
( equalish('e$u2','e$u3')
| product('e$u2','e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d202,d32]) ).
cnf(d306,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c18,d305]) ).
cnf(d307,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d306,c29]) ).
cnf(d308,plain,
( equalish('e$u2','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d303,d307]) ).
cnf(d309,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c19,d308]) ).
cnf(d310,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u4')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d309,d304]) ).
cnf(d311,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d310]) ).
cnf(d312,plain,
( equalish(X0,'e$u1')
| ~ product('e$u3',X0,'e$u4')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d311,c28]) ).
cnf(d313,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d301,d194]) ).
cnf(d314,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c22,d313]) ).
cnf(d315,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u2','e$u3')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d314,c29]) ).
cnf(d316,plain,
( ~ product(X0,'e$u4','e$u1')
| product('e$u1',X0,'e$u3')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d303,c30]) ).
cnf(d317,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u2','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d104,c29]) ).
cnf(d318,plain,
( equalish('e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d301,d317]) ).
cnf(d319,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c16,d318]) ).
cnf(d320,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d319,d315]) ).
cnf(d321,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c20,d320]) ).
cnf(d322,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u2','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d321,c29]) ).
cnf(d323,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u2','e$u2') ),
inference(resolution,[status(thm)],[d301,c29]) ).
cnf(d324,plain,
( product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3')
| product('e$u2','e$u2','e$u2')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d301,d64]) ).
cnf(d325,plain,
( equalish('e$u4','e$u2')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d324,d323]) ).
cnf(d326,plain,
( product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d325]) ).
cnf(d327,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d326,d315]) ).
cnf(d328,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c21,d327]) ).
cnf(d329,plain,
( equalish('e$u1','e$u2')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d328,d322]) ).
cnf(d330,plain,
( product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c14,d329]) ).
cnf(d331,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d330,d304]) ).
cnf(d332,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u3','e$u2','e$u4')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c24,d331]) ).
cnf(d333,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u4','e$u1','e$u4')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d332,d316]) ).
cnf(d334,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u2','e$u4')
| product('e$u4','e$u1','e$u4')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d333,d315]) ).
cnf(d335,plain,
( product('e$u4','e$u1','e$u4')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c20,d334]) ).
cnf(d336,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d335,d312]) ).
cnf(d337,plain,
product('e$u4','e$u1','e$u4'),
inference(resolution,[status(thm)],[c17,d336]) ).
cnf(d338,plain,
equalish('e$u1','e$u4'),
inference(resolution,[status(thm)],[d337,d299]) ).
cnf(d339,plain,
$false,
inference(resolution,[status(thm)],[c16,d338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 14:34:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.04/6.22 % SZS status Unsatisfiable for theBenchmark.p
% 37.04/6.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------