%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP127-2.006 : 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 : n016.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 07:22:28 AM UTC 2026
% Result : Unsatisfiable 45.15s 12.54s
% Output : CNFRefutation 45.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 90
% Number of leaves : 47
% Syntax : Number of clauses : 341 ( 95 unt; 223 nHn; 339 RR)
% Number of literals : 1287 ( 0 equ; 140 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 101 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_4_greater_e_3,axiom,
greater('e$u4','e$u3') ).
cnf(e_5_greater_e_3,axiom,
greater('e$u5','e$u3') ).
cnf(e_6_greater_e_3,axiom,
greater('e$u6','e$u3') ).
cnf(e_5_greater_e_4,axiom,
greater('e$u5','e$u4') ).
cnf(e_6_greater_e_4,axiom,
greater('e$u6','e$u4') ).
cnf(e_6_greater_e_5,axiom,
greater('e$u6','e$u5') ).
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$u4') ).
cnf(element_5,axiom,
'group$uelement'('e$u5') ).
cnf(element_6,axiom,
'group$uelement'('e$u6') ).
cnf(e_1_is_not_e_2,axiom,
~ equalish('e$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$u5') ).
cnf(e_2_is_not_e_6,axiom,
~ equalish('e$u2','e$u6') ).
cnf(e_3_is_not_e_1,axiom,
~ equalish('e$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$u1') ).
cnf(e_4_is_not_e_3,axiom,
~ equalish('e$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$u4') ).
cnf(e_5_is_not_e_6,axiom,
~ equalish('e$u5','e$u6') ).
cnf(e_6_is_not_e_1,axiom,
~ equalish('e$u6','e$u1') ).
cnf(e_6_is_not_e_3,axiom,
~ equalish('e$u6','e$u3') ).
cnf(e_6_is_not_e_4,axiom,
~ equalish('e$u6','e$u4') ).
cnf(e_6_is_not_e_5,axiom,
~ equalish('e$u6','e$u5') ).
cnf(product_total_function1,axiom,
( product(X0,X1,'e$u6')
| 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$uelement'(X0) ) ).
cnf(product_total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(qg3,negated_conjecture,
( product(X3,X0,X1)
| ~ product(X2,X0,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c1,plain,
next('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_then_e_3]) ).
cnf(c2,plain,
next('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_then_e_4]) ).
cnf(c3,plain,
next('e$u4','e$u5'),
inference(clausification,[status(esa)],[e_4_then_e_5]) ).
cnf(c14,plain,
greater('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_greater_e_3]) ).
cnf(c15,plain,
greater('e$u5','e$u3'),
inference(clausification,[status(esa)],[e_5_greater_e_3]) ).
cnf(c16,plain,
greater('e$u6','e$u3'),
inference(clausification,[status(esa)],[e_6_greater_e_3]) ).
cnf(c17,plain,
greater('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_greater_e_4]) ).
cnf(c18,plain,
greater('e$u6','e$u4'),
inference(clausification,[status(esa)],[e_6_greater_e_4]) ).
cnf(c19,plain,
greater('e$u6','e$u5'),
inference(clausification,[status(esa)],[e_6_greater_e_5]) ).
cnf(c20,plain,
( ~ greater(X2,X1)
| ~ product(X0,'e$u1',X2)
| ~ next(X0,X1) ),
inference(clausification,[status(esa)],[no_redundancy]) ).
cnf(c21,plain,
'group$uelement'('e$u1'),
inference(clausification,[status(esa)],[element_1]) ).
cnf(c22,plain,
'group$uelement'('e$u2'),
inference(clausification,[status(esa)],[element_2]) ).
cnf(c23,plain,
'group$uelement'('e$u3'),
inference(clausification,[status(esa)],[element_3]) ).
cnf(c24,plain,
'group$uelement'('e$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c25,plain,
'group$uelement'('e$u5'),
inference(clausification,[status(esa)],[element_5]) ).
cnf(c26,plain,
'group$uelement'('e$u6'),
inference(clausification,[status(esa)],[element_6]) ).
cnf(c27,plain,
~ equalish('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_is_not_e_2]) ).
cnf(c28,plain,
~ equalish('e$u1','e$u3'),
inference(clausification,[status(esa)],[e_1_is_not_e_3]) ).
cnf(c29,plain,
~ equalish('e$u1','e$u4'),
inference(clausification,[status(esa)],[e_1_is_not_e_4]) ).
cnf(c30,plain,
~ equalish('e$u1','e$u5'),
inference(clausification,[status(esa)],[e_1_is_not_e_5]) ).
cnf(c32,plain,
~ equalish('e$u2','e$u1'),
inference(clausification,[status(esa)],[e_2_is_not_e_1]) ).
cnf(c33,plain,
~ equalish('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_is_not_e_3]) ).
cnf(c34,plain,
~ equalish('e$u2','e$u4'),
inference(clausification,[status(esa)],[e_2_is_not_e_4]) ).
cnf(c35,plain,
~ equalish('e$u2','e$u5'),
inference(clausification,[status(esa)],[e_2_is_not_e_5]) ).
cnf(c36,plain,
~ equalish('e$u2','e$u6'),
inference(clausification,[status(esa)],[e_2_is_not_e_6]) ).
cnf(c37,plain,
~ equalish('e$u3','e$u1'),
inference(clausification,[status(esa)],[e_3_is_not_e_1]) ).
cnf(c38,plain,
~ equalish('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_is_not_e_2]) ).
cnf(c39,plain,
~ equalish('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_is_not_e_4]) ).
cnf(c40,plain,
~ equalish('e$u3','e$u5'),
inference(clausification,[status(esa)],[e_3_is_not_e_5]) ).
cnf(c42,plain,
~ equalish('e$u4','e$u1'),
inference(clausification,[status(esa)],[e_4_is_not_e_1]) ).
cnf(c44,plain,
~ equalish('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_is_not_e_3]) ).
cnf(c45,plain,
~ equalish('e$u4','e$u5'),
inference(clausification,[status(esa)],[e_4_is_not_e_5]) ).
cnf(c47,plain,
~ equalish('e$u5','e$u1'),
inference(clausification,[status(esa)],[e_5_is_not_e_1]) ).
cnf(c48,plain,
~ equalish('e$u5','e$u2'),
inference(clausification,[status(esa)],[e_5_is_not_e_2]) ).
cnf(c49,plain,
~ equalish('e$u5','e$u3'),
inference(clausification,[status(esa)],[e_5_is_not_e_3]) ).
cnf(c50,plain,
~ equalish('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_is_not_e_4]) ).
cnf(c51,plain,
~ equalish('e$u5','e$u6'),
inference(clausification,[status(esa)],[e_5_is_not_e_6]) ).
cnf(c52,plain,
~ equalish('e$u6','e$u1'),
inference(clausification,[status(esa)],[e_6_is_not_e_1]) ).
cnf(c54,plain,
~ equalish('e$u6','e$u3'),
inference(clausification,[status(esa)],[e_6_is_not_e_3]) ).
cnf(c55,plain,
~ equalish('e$u6','e$u4'),
inference(clausification,[status(esa)],[e_6_is_not_e_4]) ).
cnf(c56,plain,
~ equalish('e$u6','e$u5'),
inference(clausification,[status(esa)],[e_6_is_not_e_5]) ).
cnf(c57,plain,
( ~ 'group$uelement'(X1)
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X0)
| product(X0,X1,'e$u6')
| product(X0,X1,'e$u5')
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2') ),
inference(clausification,[status(esa)],[product_total_function1]) ).
cnf(c58,plain,
( equalish(X3,X2)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_total_function2]) ).
cnf(c59,plain,
( equalish(X3,X1)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_right_cancellation]) ).
cnf(c60,plain,
( equalish(X3,X0)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_left_cancellation]) ).
cnf(c61,plain,
product(X0,X0,X0),
inference(clausification,[status(esa)],[product_idempotence]) ).
cnf(c62,plain,
( product(X2,X1,X3)
| ~ product(X1,X3,X0)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg3]) ).
cnf(d0,plain,
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[c59,c61]) ).
cnf(d1,plain,
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[c60,c61]) ).
cnf(d2,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u1','e$u6')
| product(X0,'e$u1','e$u5')
| product(X0,'e$u1','e$u4')
| product(X0,'e$u1','e$u3')
| product(X0,'e$u1','e$u2')
| product(X0,'e$u1','e$u1') ),
inference(resolution,[status(thm)],[c57,c21]) ).
cnf(d3,plain,
( product('e$u2','e$u1','e$u6')
| 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$u1') ),
inference(resolution,[status(thm)],[d2,c22]) ).
cnf(d4,plain,
( ~ product('e$u2','e$u1',X0)
| ~ greater(X0,'e$u3') ),
inference(resolution,[status(thm)],[c20,c1]) ).
cnf(d5,plain,
~ product('e$u2','e$u1','e$u5'),
inference(resolution,[status(thm)],[d4,c15]) ).
cnf(d6,plain,
( product('e$u2','e$u1','e$u6')
| 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)],[d5,d3]) ).
cnf(d7,plain,
~ product('e$u2','e$u1','e$u6'),
inference(resolution,[status(thm)],[d4,c16]) ).
cnf(d8,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ product('e$u2','e$u1','e$u4'),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d10,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c27,d11]) ).
cnf(d13,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
product('e$u2','e$u1','e$u3'),
inference(resolution,[status(thm)],[c27,d13]) ).
cnf(d15,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u3') ),
inference(resolution,[status(thm)],[d14,c60]) ).
cnf(d16,plain,
( product('e$u3','e$u1','e$u6')
| product('e$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)],[d2,c23]) ).
cnf(d17,plain,
( ~ product('e$u3','e$u1',X0)
| ~ greater(X0,'e$u4') ),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(d18,plain,
~ product('e$u3','e$u1','e$u5'),
inference(resolution,[status(thm)],[d17,c17]) ).
cnf(d19,plain,
( product('e$u3','e$u1','e$u6')
| product('e$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$u1') ),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
~ product('e$u3','e$u1','e$u6'),
inference(resolution,[status(thm)],[d17,c18]) ).
cnf(d21,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)],[d20,d19]) ).
cnf(d22,plain,
( equalish('e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d21,d1]) ).
cnf(d23,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c28,d22]) ).
cnf(d24,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u4','e$u6')
| product(X0,'e$u4','e$u5')
| product(X0,'e$u4','e$u4')
| product(X0,'e$u4','e$u3')
| product(X0,'e$u4','e$u2')
| product(X0,'e$u4','e$u1') ),
inference(resolution,[status(thm)],[c57,c24]) ).
cnf(d25,plain,
( product('e$u1','e$u4','e$u6')
| 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$u1') ),
inference(resolution,[status(thm)],[d24,c21]) ).
cnf(d26,plain,
( equalish('e$u4','e$u1')
| product('e$u1','e$u4','e$u6')
| 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)],[d25,d0]) ).
cnf(d27,plain,
( product('e$u1','e$u4','e$u6')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c42,d26]) ).
cnf(d28,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u1','e$u4')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d27,c62]) ).
cnf(d29,plain,
( product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d28,d14]) ).
cnf(d30,plain,
( ~ product('e$u3','e$u1',X0)
| product(X0,'e$u1','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d29,c62]) ).
cnf(d31,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d30,d23]) ).
cnf(d32,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d9,d31]) ).
cnf(d33,plain,
( equalish('e$u4','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d32,d1]) ).
cnf(d34,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c42,d33]) ).
cnf(d35,plain,
( equalish(X0,'e$u4')
| ~ product('e$u1',X0,'e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6') ),
inference(resolution,[status(thm)],[d34,c59]) ).
cnf(d36,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u5','e$u6')
| product(X0,'e$u5','e$u5')
| product(X0,'e$u5','e$u4')
| product(X0,'e$u5','e$u3')
| product(X0,'e$u5','e$u2')
| product(X0,'e$u5','e$u1') ),
inference(resolution,[status(thm)],[c57,c25]) ).
cnf(d37,plain,
( product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3')
| product('e$u1','e$u5','e$u2')
| product('e$u1','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d36,c21]) ).
cnf(d38,plain,
( equalish('e$u5','e$u1')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3')
| product('e$u1','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d37,d0]) ).
cnf(d39,plain,
( product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3')
| product('e$u1','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c47,d38]) ).
cnf(d40,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u1','e$u5')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d39,c62]) ).
cnf(d41,plain,
( product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3')
| product('e$u3','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d40,d14]) ).
cnf(d42,plain,
( product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d18,d41]) ).
cnf(d43,plain,
( ~ product('e$u3','e$u1',X0)
| product(X0,'e$u1','e$u5')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d42,c62]) ).
cnf(d44,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d43,d23]) ).
cnf(d45,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d5,d44]) ).
cnf(d46,plain,
( equalish(X0,'e$u5')
| ~ product('e$u1',X0,'e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d45,c59]) ).
cnf(d47,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u6','e$u6')
| product(X0,'e$u6','e$u5')
| product(X0,'e$u6','e$u4')
| product(X0,'e$u6','e$u3')
| product(X0,'e$u6','e$u2')
| product(X0,'e$u6','e$u1') ),
inference(resolution,[status(thm)],[c57,c26]) ).
cnf(d48,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3')
| product('e$u1','e$u6','e$u2')
| product('e$u1','e$u6','e$u1') ),
inference(resolution,[status(thm)],[d47,c21]) ).
cnf(d49,plain,
( equalish('e$u6','e$u1')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3')
| product('e$u1','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d48,d0]) ).
cnf(d50,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3')
| product('e$u1','e$u6','e$u2') ),
inference(resolution,[status(thm)],[c52,d49]) ).
cnf(d51,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3') ),
inference(resolution,[status(thm)],[d50,c62]) ).
cnf(d52,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3')
| product('e$u3','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d51,d14]) ).
cnf(d53,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u1','e$u6','e$u3') ),
inference(resolution,[status(thm)],[d20,d52]) ).
cnf(d54,plain,
( ~ product('e$u3','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4') ),
inference(resolution,[status(thm)],[d53,c62]) ).
cnf(d55,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u2','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d54,d23]) ).
cnf(d56,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4') ),
inference(resolution,[status(thm)],[d7,d55]) ).
cnf(d57,plain,
( equalish('e$u6','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d56,d46]) ).
cnf(d58,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c56,d57]) ).
cnf(d59,plain,
( equalish('e$u5','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[d58,d1]) ).
cnf(d60,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[c47,d59]) ).
cnf(d61,plain,
( equalish(X0,'e$u5')
| ~ product('e$u1',X0,'e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d60,c59]) ).
cnf(d62,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u3','e$u6')
| product(X0,'e$u3','e$u5')
| product(X0,'e$u3','e$u4')
| product(X0,'e$u3','e$u3')
| product(X0,'e$u3','e$u2')
| product(X0,'e$u3','e$u1') ),
inference(resolution,[status(thm)],[c57,c23]) ).
cnf(d63,plain,
( product('e$u1','e$u3','e$u6')
| 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$u1') ),
inference(resolution,[status(thm)],[d62,c21]) ).
cnf(d64,plain,
( equalish('e$u3','e$u1')
| product('e$u1','e$u3','e$u6')
| 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)],[d63,d0]) ).
cnf(d65,plain,
( product('e$u1','e$u3','e$u6')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c37,d64]) ).
cnf(d66,plain,
( ~ product('e$u2','e$u1',X0)
| product(X0,'e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d65,c62]) ).
cnf(d67,plain,
( product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d66,d14]) ).
cnf(d68,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d67,d1]) ).
cnf(d69,plain,
( product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c37,d68]) ).
cnf(d70,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d69,c59]) ).
cnf(d71,plain,
( equalish('e$u6','e$u3')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d56,d70]) ).
cnf(d72,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c54,d71]) ).
cnf(d73,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u3','e$u6') ),
inference(resolution,[status(thm)],[d72,d35]) ).
cnf(d74,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u4','e$u6')
| product('e$u1','e$u3','e$u6') ),
inference(resolution,[status(thm)],[c39,d73]) ).
cnf(d75,plain,
( equalish('e$u3','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u4','e$u6') ),
inference(resolution,[status(thm)],[d74,d61]) ).
cnf(d76,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u4','e$u6') ),
inference(resolution,[status(thm)],[c40,d75]) ).
cnf(d77,plain,
( equalish('e$u4','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d76,d61]) ).
cnf(d78,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[c45,d77]) ).
cnf(d79,plain,
( equalish('e$u6','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u4','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d78,d35]) ).
cnf(d80,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u4','e$u6') ),
inference(resolution,[status(thm)],[c55,d79]) ).
cnf(d81,plain,
( equalish(X0,'e$u4')
| ~ product('e$u1',X0,'e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d80,c59]) ).
cnf(d82,plain,
( equalish(X0,'e$u6')
| ~ product('e$u1',X0,'e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d78,c59]) ).
cnf(d83,plain,
( equalish('e$u5','e$u3')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d45,d70]) ).
cnf(d84,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c49,d83]) ).
cnf(d85,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u3','e$u6') ),
inference(resolution,[status(thm)],[d84,c59]) ).
cnf(d86,plain,
( equalish('e$u6','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u3','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d78,d85]) ).
cnf(d87,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u3','e$u6') ),
inference(resolution,[status(thm)],[c54,d86]) ).
cnf(d88,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d87,d81]) ).
cnf(d89,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c39,d88]) ).
cnf(d90,plain,
( equalish('e$u5','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[d89,d82]) ).
cnf(d91,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[c51,d90]) ).
cnf(d92,plain,
( equalish('e$u5','e$u4')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d91,d81]) ).
cnf(d93,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[c50,d92]) ).
cnf(d94,plain,
( equalish('e$u6','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d93,d1]) ).
cnf(d95,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c52,d94]) ).
cnf(d96,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d95,d15]) ).
cnf(d97,plain,
product('e$u3','e$u1','e$u4'),
inference(resolution,[status(thm)],[c33,d96]) ).
cnf(d98,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u4') ),
inference(resolution,[status(thm)],[d97,c60]) ).
cnf(d99,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d2,c25]) ).
cnf(d100,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d99,d1]) ).
cnf(d101,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c30,d100]) ).
cnf(d102,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d23,c60]) ).
cnf(d103,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u3','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d102,d101]) ).
cnf(d104,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c40,d103]) ).
cnf(d105,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d104,d15]) ).
cnf(d106,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c33,d105]) ).
cnf(d107,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u4')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d106,c60]) ).
cnf(d108,plain,
( product('e$u4','e$u1','e$u6')
| product('e$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)],[d2,c24]) ).
cnf(d109,plain,
( ~ product('e$u4','e$u1',X0)
| ~ greater(X0,'e$u5') ),
inference(resolution,[status(thm)],[c20,c3]) ).
cnf(d110,plain,
~ product('e$u4','e$u1','e$u6'),
inference(resolution,[status(thm)],[d109,c19]) ).
cnf(d111,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$u1') ),
inference(resolution,[status(thm)],[d110,d108]) ).
cnf(d112,plain,
( equalish('e$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$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d111,d1]) ).
cnf(d113,plain,
( product('e$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$u2') ),
inference(resolution,[status(thm)],[c29,d112]) ).
cnf(d114,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u1','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d113,c60]) ).
cnf(d115,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| equalish('e$u4','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d114,d101]) ).
cnf(d116,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c45,d115]) ).
cnf(d117,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d116,d15]) ).
cnf(d118,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c34,d117]) ).
cnf(d119,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d118,d107]) ).
cnf(d120,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d119]) ).
cnf(d121,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4')
| product('e$u4','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d97,d54]) ).
cnf(d122,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u6','e$u4') ),
inference(resolution,[status(thm)],[d110,d121]) ).
cnf(d123,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d122,c62]) ).
cnf(d124,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u5','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d123,d120]) ).
cnf(d125,plain,
( ~ product('e$u5','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d124,c62]) ).
cnf(d126,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u2','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d125,d101]) ).
cnf(d127,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d7,d126]) ).
cnf(d128,plain,
( equalish('e$u6','e$u1')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d127,d1]) ).
cnf(d129,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c52,d128]) ).
cnf(d130,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d129,d15]) ).
cnf(d131,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c35,d130]) ).
cnf(d132,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d131,d98]) ).
cnf(d133,plain,
( product('e$u5','e$u1','e$u6')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c40,d132]) ).
cnf(d134,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d133,d0]) ).
cnf(d135,plain,
product('e$u5','e$u1','e$u6'),
inference(resolution,[status(thm)],[c30,d134]) ).
cnf(d136,plain,
( equalish('e$u5',X0)
| ~ product(X0,'e$u1','e$u6') ),
inference(resolution,[status(thm)],[d135,c60]) ).
cnf(d137,plain,
( equalish('e$u3','e$u4')
| 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$u3') ),
inference(resolution,[status(thm)],[d113,d102]) ).
cnf(d138,plain,
( product('e$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$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c39,d137]) ).
cnf(d139,plain,
( 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$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d138,d15]) ).
cnf(d140,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$u1','e$u4') ),
inference(resolution,[status(thm)],[c33,d139]) ).
cnf(d141,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d43,d140]) ).
cnf(d142,plain,
( ~ product('e$u4','e$u1',X0)
| product(X0,'e$u1','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d141,c62]) ).
cnf(d143,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$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5')
| product('e$u2','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d142,d113]) ).
cnf(d144,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u5','e$u6')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d5,d143]) ).
cnf(d145,plain,
( 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$u3')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[d144,d1]) ).
cnf(d146,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u5','e$u6') ),
inference(resolution,[status(thm)],[c47,d145]) ).
cnf(d147,plain,
( equalish(X0,'e$u5')
| ~ product('e$u1',X0,'e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d146,c59]) ).
cnf(d148,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u2','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d123,d113]) ).
cnf(d149,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d7,d148]) ).
cnf(d150,plain,
( ~ product('e$u5','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d149,c62]) ).
cnf(d151,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d135,d150]) ).
cnf(d152,plain,
( equalish('e$u6','e$u5')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d151,d147]) ).
cnf(d153,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c56,d152]) ).
cnf(d154,plain,
( equalish('e$u2','e$u4')
| product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d153,d15]) ).
cnf(d155,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c34,d154]) ).
cnf(d156,plain,
( equalish('e$u3','e$u4')
| product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d155,d98]) ).
cnf(d157,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d156]) ).
cnf(d158,plain,
( equalish('e$u5',X0)
| ~ product('e$u4','e$u1',X0)
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d157,c58]) ).
cnf(d159,plain,
( ~ product('e$u3','e$u2',X0)
| product(X0,'e$u2','e$u1') ),
inference(resolution,[status(thm)],[d14,c62]) ).
cnf(d160,plain,
( equalish('e$u4',X0)
| ~ product('e$u3','e$u1',X0) ),
inference(resolution,[status(thm)],[d97,c58]) ).
cnf(d161,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$u2','e$u6')
| product(X0,'e$u2','e$u5')
| product(X0,'e$u2','e$u4')
| product(X0,'e$u2','e$u3')
| product(X0,'e$u2','e$u2')
| product(X0,'e$u2','e$u1') ),
inference(resolution,[status(thm)],[c57,c22]) ).
cnf(d162,plain,
( product('e$u3','e$u2','e$u6')
| 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$u1') ),
inference(resolution,[status(thm)],[d161,c23]) ).
cnf(d163,plain,
( product('e$u1','e$u2','e$u1')
| product('e$u3','e$u2','e$u6')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d162,d159]) ).
cnf(d164,plain,
( equalish('e$u2','e$u1')
| product('e$u3','e$u2','e$u6')
| 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)],[d163,d0]) ).
cnf(d165,plain,
( product('e$u3','e$u2','e$u6')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[c32,d164]) ).
cnf(d166,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d165,d1]) ).
cnf(d167,plain,
( product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c33,d166]) ).
cnf(d168,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d167,d0]) ).
cnf(d169,plain,
( product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c33,d168]) ).
cnf(d170,plain,
( equalish(X0,'e$u2')
| ~ product('e$u3',X0,'e$u4')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d169,c59]) ).
cnf(d171,plain,
( equalish('e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d97,d170]) ).
cnf(d172,plain,
( product('e$u3','e$u2','e$u6')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c27,d171]) ).
cnf(d173,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u2','e$u5')
| product('e$u3','e$u2','e$u6') ),
inference(resolution,[status(thm)],[d172,c60]) ).
cnf(d174,plain,
( equalish(X0,'e$u6')
| ~ product('e$u1',X0,'e$u4')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d122,c59]) ).
cnf(d175,plain,
( product('e$u1','e$u2','e$u6')
| 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$u1') ),
inference(resolution,[status(thm)],[d161,c21]) ).
cnf(d176,plain,
( equalish('e$u2','e$u1')
| product('e$u1','e$u2','e$u6')
| 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)],[d175,d0]) ).
cnf(d177,plain,
( product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c32,d176]) ).
cnf(d178,plain,
( equalish('e$u2','e$u1')
| product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d177,d1]) ).
cnf(d179,plain,
( product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c32,d178]) ).
cnf(d180,plain,
( ~ product('e$u3','e$u1',X0)
| product(X0,'e$u1','e$u2')
| product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d179,c62]) ).
cnf(d181,plain,
( product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d97,d180]) ).
cnf(d182,plain,
( equalish('e$u2','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d181,d174]) ).
cnf(d183,plain,
( product('e$u4','e$u1','e$u2')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u2','e$u6')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c36,d182]) ).
cnf(d184,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u2','e$u6')
| product('e$u4','e$u1','e$u2')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u2','e$u6') ),
inference(resolution,[status(thm)],[d183,d173]) ).
cnf(d185,plain,
( product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u2','e$u6') ),
inference(resolution,[status(thm)],[c37,d184]) ).
cnf(d186,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u6')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d185,c59]) ).
cnf(d187,plain,
( equalish('e$u6','e$u3')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d122,d70]) ).
cnf(d188,plain,
( product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u3','e$u6')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c54,d187]) ).
cnf(d189,plain,
( ~ product('e$u5','e$u1',X0)
| product(X0,'e$u1','e$u3')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u3','e$u6') ),
inference(resolution,[status(thm)],[d188,c62]) ).
cnf(d190,plain,
( product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u1','e$u3','e$u6')
| product('e$u6','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d135,d189]) ).
cnf(d191,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u6','e$u1','e$u3')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[d190,d186]) ).
cnf(d192,plain,
( product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5') ),
inference(resolution,[status(thm)],[c38,d191]) ).
cnf(d193,plain,
( ~ product('e$u5','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d192,c62]) ).
cnf(d194,plain,
( product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u1','e$u3')
| product('e$u1','e$u6','e$u6')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d193,d135]) ).
cnf(d195,plain,
( equalish('e$u6','e$u1')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d194,d1]) ).
cnf(d196,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c52,d195]) ).
cnf(d197,plain,
( equalish('e$u4','e$u3')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6') ),
inference(resolution,[status(thm)],[d196,d160]) ).
cnf(d198,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2')
| product('e$u3','e$u2','e$u6') ),
inference(resolution,[status(thm)],[c44,d197]) ).
cnf(d199,plain,
( product('e$u6','e$u2','e$u1')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3')
| product('e$u4','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d198,d159]) ).
cnf(d200,plain,
( equalish('e$u5','e$u2')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u2','e$u1')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d199,d158]) ).
cnf(d201,plain,
( product('e$u6','e$u2','e$u1')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c48,d200]) ).
cnf(d202,plain,
( equalish('e$u2','e$u6')
| product('e$u6','e$u2','e$u1')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d201,d15]) ).
cnf(d203,plain,
( product('e$u6','e$u2','e$u1')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[c36,d202]) ).
cnf(d204,plain,
( equalish('e$u5','e$u6')
| product('e$u6','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d203,d136]) ).
cnf(d205,plain,
product('e$u6','e$u2','e$u1'),
inference(resolution,[status(thm)],[c51,d204]) ).
cnf(d206,plain,
( equalish(X0,'e$u2')
| ~ product('e$u6',X0,'e$u1') ),
inference(resolution,[status(thm)],[d205,c59]) ).
cnf(d207,plain,
( ~ product('e$u1','e$u6',X0)
| product(X0,'e$u6','e$u2') ),
inference(resolution,[status(thm)],[d205,c62]) ).
cnf(d208,plain,
( product('e$u1','e$u6','e$u6')
| product('e$u1','e$u6','e$u5')
| product('e$u4','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d207,d122]) ).
cnf(d209,plain,
( ~ product('e$u5','e$u1',X0)
| product(X0,'e$u1','e$u6')
| product('e$u4','e$u6','e$u2')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d208,c62]) ).
cnf(d210,plain,
( product('e$u4','e$u6','e$u2')
| product('e$u1','e$u6','e$u6')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d209,d135]) ).
cnf(d211,plain,
( equalish('e$u6','e$u1')
| product('e$u6','e$u1','e$u6')
| product('e$u4','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d210,d1]) ).
cnf(d212,plain,
( product('e$u6','e$u1','e$u6')
| product('e$u4','e$u6','e$u2') ),
inference(resolution,[status(thm)],[c52,d211]) ).
cnf(d213,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u6','e$u2')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[d212,c60]) ).
cnf(d214,plain,
( ~ product('e$u4','e$u3',X0)
| product(X0,'e$u3','e$u1') ),
inference(resolution,[status(thm)],[d97,c62]) ).
cnf(d215,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d113,c59]) ).
cnf(d216,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u6','e$u2')
| product('e$u1','e$u6','e$u6') ),
inference(resolution,[status(thm)],[d208,d207]) ).
cnf(d217,plain,
( equalish('e$u6','e$u1')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d216,d1]) ).
cnf(d218,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u6','e$u2') ),
inference(resolution,[status(thm)],[c52,d217]) ).
cnf(d219,plain,
( equalish('e$u6','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u5','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d218,d215]) ).
cnf(d220,plain,
( product('e$u5','e$u6','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)],[c52,d219]) ).
cnf(d221,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d220,d15]) ).
cnf(d222,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c34,d221]) ).
cnf(d223,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d222,d98]) ).
cnf(d224,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c39,d223]) ).
cnf(d225,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u5')
| product('e$u5','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d224,c59]) ).
cnf(d226,plain,
( product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,c24]) ).
cnf(d227,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u3','e$u1')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d226,c60]) ).
cnf(d228,plain,
( product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u1','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d214,d226]) ).
cnf(d229,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d228,d227]) ).
cnf(d230,plain,
( product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c42,d229]) ).
cnf(d231,plain,
( equalish(X0,'e$u3')
| ~ product('e$u4',X0,'e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d230,c59]) ).
cnf(d232,plain,
( equalish('e$u6','e$u3')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3')
| product('e$u5','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d218,d231]) ).
cnf(d233,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4')
| product('e$u4','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c54,d232]) ).
cnf(d234,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d233,d1]) ).
cnf(d235,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5')
| product('e$u4','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c39,d234]) ).
cnf(d236,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d235,d0]) ).
cnf(d237,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6')
| product('e$u4','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c39,d236]) ).
cnf(d238,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u6','e$u2')
| product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6') ),
inference(resolution,[status(thm)],[d237,d225]) ).
cnf(d239,plain,
( product('e$u5','e$u6','e$u2')
| product('e$u4','e$u3','e$u6') ),
inference(resolution,[status(thm)],[c37,d238]) ).
cnf(d240,plain,
( product('e$u6','e$u3','e$u1')
| product('e$u5','e$u6','e$u2') ),
inference(resolution,[status(thm)],[d239,d214]) ).
cnf(d241,plain,
( equalish('e$u4','e$u5')
| product('e$u6','e$u1','e$u6')
| product('e$u6','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d240,d213]) ).
cnf(d242,plain,
( product('e$u6','e$u3','e$u1')
| product('e$u6','e$u1','e$u6') ),
inference(resolution,[status(thm)],[c45,d241]) ).
cnf(d243,plain,
( equalish('e$u5','e$u6')
| product('e$u6','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d242,d136]) ).
cnf(d244,plain,
product('e$u6','e$u3','e$u1'),
inference(resolution,[status(thm)],[c51,d243]) ).
cnf(d245,plain,
equalish('e$u3','e$u2'),
inference(resolution,[status(thm)],[d244,d206]) ).
cnf(d246,plain,
$false,
inference(resolution,[status(thm)],[c38,d245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 14:32:06 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.15/12.54 % SZS status Unsatisfiable for theBenchmark.p
% 45.15/12.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------