%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP124-6.004 : 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 : n017.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 07:22:25 AM UTC 2026
% Result : Unsatisfiable 27.37s 8.30s
% Output : CNFRefutation 27.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 25
% Syntax : Number of clauses : 211 ( 40 unt; 153 nHn; 207 RR)
% Number of literals : 732 ( 0 equ; 90 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 101 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_3,axiom,
~ equalish('e$u4','e$u3') ).
cnf(product1_total_function1,axiom,
( product1(X0,X1,'e$u4')
| product1(X0,X1,'e$u3')
| product1(X0,X1,'e$u2')
| product1(X0,X1,'e$u1')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0) ) ).
cnf(product1_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ) ).
cnf(product1_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ) ).
cnf(product1_idempotence,axiom,
product1(X0,X0,X0) ).
cnf(product2_total_function1,axiom,
( product2(X0,X1,'e$u4')
| product2(X0,X1,'e$u3')
| product2(X0,X1,'e$u2')
| product2(X0,X1,'e$u1')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0) ) ).
cnf(product2_total_function2,axiom,
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ) ).
cnf(product2_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ) ).
cnf(product2_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ) ).
cnf(product2_idempotence,axiom,
product2(X0,X0,X0) ).
cnf(qg2a,negated_conjecture,
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ) ).
cnf(c0,plain,
'group$uelement'('e$u1'),
inference(clausification,[status(esa)],[element_1]) ).
cnf(c1,plain,
'group$uelement'('e$u2'),
inference(clausification,[status(esa)],[element_2]) ).
cnf(c2,plain,
'group$uelement'('e$u3'),
inference(clausification,[status(esa)],[element_3]) ).
cnf(c3,plain,
'group$uelement'('e$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c4,plain,
~ equalish('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_is_not_e_2]) ).
cnf(c5,plain,
~ equalish('e$u1','e$u3'),
inference(clausification,[status(esa)],[e_1_is_not_e_3]) ).
cnf(c6,plain,
~ equalish('e$u1','e$u4'),
inference(clausification,[status(esa)],[e_1_is_not_e_4]) ).
cnf(c7,plain,
~ equalish('e$u2','e$u1'),
inference(clausification,[status(esa)],[e_2_is_not_e_1]) ).
cnf(c8,plain,
~ equalish('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_is_not_e_3]) ).
cnf(c9,plain,
~ equalish('e$u2','e$u4'),
inference(clausification,[status(esa)],[e_2_is_not_e_4]) ).
cnf(c10,plain,
~ equalish('e$u3','e$u1'),
inference(clausification,[status(esa)],[e_3_is_not_e_1]) ).
cnf(c11,plain,
~ equalish('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_is_not_e_2]) ).
cnf(c12,plain,
~ equalish('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_is_not_e_4]) ).
cnf(c13,plain,
~ equalish('e$u4','e$u1'),
inference(clausification,[status(esa)],[e_4_is_not_e_1]) ).
cnf(c15,plain,
~ equalish('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_is_not_e_3]) ).
cnf(c16,plain,
( product1(X0,X1,'e$u4')
| ~ 'group$uelement'(X1)
| product1(X0,X1,'e$u1')
| product1(X0,X1,'e$u2')
| product1(X0,X1,'e$u3')
| ~ 'group$uelement'(X0) ),
inference(clausification,[status(esa)],[product1_total_function1]) ).
cnf(c18,plain,
( equalish(X3,X1)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(clausification,[status(esa)],[product1_right_cancellation]) ).
cnf(c19,plain,
( equalish(X3,X0)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(clausification,[status(esa)],[product1_left_cancellation]) ).
cnf(c20,plain,
product1(X0,X0,X0),
inference(clausification,[status(esa)],[product1_idempotence]) ).
cnf(c21,plain,
( product2(X0,X1,'e$u3')
| ~ 'group$uelement'(X1)
| product2(X0,X1,'e$u2')
| ~ 'group$uelement'(X0)
| product2(X0,X1,'e$u1')
| product2(X0,X1,'e$u4') ),
inference(clausification,[status(esa)],[product2_total_function1]) ).
cnf(c22,plain,
( equalish(X3,X2)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(clausification,[status(esa)],[product2_total_function2]) ).
cnf(c23,plain,
( equalish(X3,X1)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(clausification,[status(esa)],[product2_right_cancellation]) ).
cnf(c24,plain,
( equalish(X3,X0)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(clausification,[status(esa)],[product2_left_cancellation]) ).
cnf(c25,plain,
product2(X0,X0,X0),
inference(clausification,[status(esa)],[product2_idempotence]) ).
cnf(c26,plain,
( product2(X2,X3,X1)
| ~ product1(X1,X3,X0)
| ~ product1(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg2a]) ).
cnf(d0,plain,
( ~ product2(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c22,c25]) ).
cnf(d1,plain,
( ~ product2(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c24,c25]) ).
cnf(d2,plain,
( ~ product2(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c23,c25]) ).
cnf(d3,plain,
( product2('e$u2',X0,'e$u4')
| product2('e$u2',X0,'e$u3')
| product2('e$u2',X0,'e$u2')
| product2('e$u2',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c21,c1]) ).
cnf(d4,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3')
| product2('e$u2','e$u3','e$u2')
| product2('e$u2','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d6,plain,
( ~ product2('e$u2',X0,'e$u1')
| equalish('e$u3',X0)
| product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3')
| product2('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d5,c23]) ).
cnf(d7,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3')
| product2('e$u2','e$u3','e$u2')
| equalish('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3')
| product2('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c12,d7]) ).
cnf(d9,plain,
( equalish('e$u2','e$u3')
| product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4')
| product2('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c8,d9]) ).
cnf(d11,plain,
( equalish('e$u2','e$u3')
| product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| product2('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c8,d11]) ).
cnf(d13,plain,
( ~ product2(X0,'e$u3','e$u4')
| equalish(X0,'e$u2')
| product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d12,c24]) ).
cnf(d14,plain,
( product2('e$u1',X0,'e$u4')
| product2('e$u1',X0,'e$u3')
| product2('e$u1',X0,'e$u2')
| product2('e$u1',X0,'e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c21,c0]) ).
cnf(d15,plain,
( product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3')
| product2('e$u1','e$u3','e$u2')
| product2('e$u1','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
( equalish('e$u1','e$u3')
| product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3')
| product2('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
( product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3')
| product2('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c5,d16]) ).
cnf(d18,plain,
( ~ product2(X0,'e$u3','e$u2')
| equalish(X0,'e$u1')
| product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d17,c24]) ).
cnf(d19,plain,
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c19,c20]) ).
cnf(d20,plain,
( ~ product1(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c18,c20]) ).
cnf(d21,plain,
( product1(X0,'e$u1','e$u4')
| product1(X0,'e$u1','e$u3')
| product1(X0,'e$u1','e$u2')
| product1(X0,'e$u1','e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(d22,plain,
( product1('e$u2','e$u1','e$u4')
| product1('e$u2','e$u1','e$u3')
| product1('e$u2','e$u1','e$u2')
| product1('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
( equalish('e$u2','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u2','e$u1','e$u3')
| product1('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
( product1('e$u2','e$u1','e$u4')
| product1('e$u2','e$u1','e$u3')
| product1('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c7,d23]) ).
cnf(d25,plain,
( equalish('e$u2','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d24,d20]) ).
cnf(d26,plain,
( product1('e$u2','e$u1','e$u4')
| product1('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c7,d25]) ).
cnf(d27,plain,
( product2('e$u3',X0,'e$u1')
| ~ product1('e$u1',X0,'e$u2')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d26,c26]) ).
cnf(d28,plain,
( product1(X0,'e$u3','e$u4')
| product1(X0,'e$u3','e$u3')
| product1(X0,'e$u3','e$u2')
| product1(X0,'e$u3','e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c16,c2]) ).
cnf(d29,plain,
( product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3')
| product1('e$u1','e$u3','e$u2')
| product1('e$u1','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
( equalish('e$u1','e$u3')
| product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3')
| product1('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d29,d20]) ).
cnf(d31,plain,
( product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3')
| product1('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c5,d30]) ).
cnf(d32,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d31,d27]) ).
cnf(d33,plain,
( equalish('e$u1','e$u3')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d32,d19]) ).
cnf(d34,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c5,d33]) ).
cnf(d35,plain,
( ~ product1('e$u1',X0,'e$u4')
| equalish('e$u3',X0)
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d34,c18]) ).
cnf(d36,plain,
( product1(X0,'e$u2','e$u4')
| product1(X0,'e$u2','e$u3')
| product1(X0,'e$u2','e$u2')
| product1(X0,'e$u2','e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c16,c1]) ).
cnf(d37,plain,
( product1('e$u1','e$u2','e$u4')
| product1('e$u1','e$u2','e$u3')
| product1('e$u1','e$u2','e$u2')
| product1('e$u1','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d38,plain,
( equalish('e$u1','e$u2')
| product1('e$u1','e$u2','e$u4')
| product1('e$u1','e$u2','e$u3')
| product1('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d37,d20]) ).
cnf(d39,plain,
( product1('e$u1','e$u2','e$u4')
| product1('e$u1','e$u2','e$u3')
| product1('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c4,d38]) ).
cnf(d40,plain,
( equalish('e$u1','e$u2')
| product1('e$u1','e$u2','e$u4')
| product1('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d39,d19]) ).
cnf(d41,plain,
( product1('e$u1','e$u2','e$u4')
| product1('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c4,d40]) ).
cnf(d42,plain,
( ~ product1('e$u1',X0,'e$u3')
| equalish('e$u2',X0)
| product1('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d41,c18]) ).
cnf(d43,plain,
( product1(X0,'e$u4','e$u4')
| product1(X0,'e$u4','e$u3')
| product1(X0,'e$u4','e$u2')
| product1(X0,'e$u4','e$u1')
| ~ 'group$uelement'(X0) ),
inference(resolution,[status(thm)],[c16,c3]) ).
cnf(d44,plain,
( product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u4','e$u2')
| product1('e$u1','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
( equalish('e$u1','e$u4')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d44,d20]) ).
cnf(d46,plain,
( product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c6,d45]) ).
cnf(d47,plain,
( product2('e$u3','e$u4','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d46,d27]) ).
cnf(d48,plain,
( product1('e$u1','e$u2','e$u4')
| equalish('e$u2','e$u4')
| product2('e$u3','e$u4','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d47,d42]) ).
cnf(d49,plain,
( product2('e$u3','e$u4','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c9,d48]) ).
cnf(d50,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| equalish('e$u3','e$u2')
| product2('e$u3','e$u4','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d49,d35]) ).
cnf(d51,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| product1('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c11,d50]) ).
cnf(d52,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| equalish('e$u3','e$u4')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d51,d35]) ).
cnf(d53,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c12,d52]) ).
cnf(d54,plain,
( ~ product1('e$u2',X0,'e$u4')
| equalish('e$u1',X0)
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d53,c18]) ).
cnf(d55,plain,
( product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2')
| product1('e$u2','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d28,c1]) ).
cnf(d56,plain,
( product2('e$u3',X0,'e$u2')
| ~ product1('e$u2',X0,'e$u1')
| product1('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d41,c26]) ).
cnf(d57,plain,
( product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d56,d55]) ).
cnf(d58,plain,
( product2('e$u4',X0,'e$u2')
| ~ product1('e$u2',X0,'e$u1')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d57,c26]) ).
cnf(d59,plain,
( product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d58,d55]) ).
cnf(d60,plain,
( equalish('e$u2','e$u3')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d59,d20]) ).
cnf(d61,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c8,d60]) ).
cnf(d62,plain,
( equalish('e$u2','e$u3')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d61,d19]) ).
cnf(d63,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c8,d62]) ).
cnf(d64,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| equalish('e$u1','e$u3')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d63,d54]) ).
cnf(d65,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u2')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c5,d64]) ).
cnf(d66,plain,
( equalish('e$u3','e$u1')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d65,d0]) ).
cnf(d67,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c10,d66]) ).
cnf(d68,plain,
( equalish('e$u3','e$u2')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d67,d0]) ).
cnf(d69,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c11,d68]) ).
cnf(d70,plain,
( ~ product2('e$u3',X0,'e$u1')
| equalish('e$u4',X0)
| product2('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d69,c23]) ).
cnf(d71,plain,
( ~ product1('e$u2',X0,'e$u4')
| equalish('e$u3',X0)
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d63,c18]) ).
cnf(d72,plain,
( ~ product1(X0,'e$u3','e$u4')
| equalish(X0,'e$u1')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d34,c19]) ).
cnf(d73,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| equalish('e$u2','e$u1')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d63,d72]) ).
cnf(d74,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c7,d73]) ).
cnf(d75,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| equalish('e$u3','e$u1')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d74,d71]) ).
cnf(d76,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c10,d75]) ).
cnf(d77,plain,
( product2('e$u4','e$u3','e$u2')
| equalish('e$u4','e$u3')
| product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d76,d70]) ).
cnf(d78,plain,
( product2('e$u4','e$u3','e$u2')
| product2('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c15,d77]) ).
cnf(d79,plain,
( equalish('e$u3','e$u2')
| product2('e$u4','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d78,d0]) ).
cnf(d80,plain,
product2('e$u4','e$u3','e$u2'),
inference(resolution,[status(thm)],[c11,d79]) ).
cnf(d81,plain,
( product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3')
| equalish('e$u4','e$u1') ),
inference(resolution,[status(thm)],[d80,d18]) ).
cnf(d82,plain,
( product2('e$u1','e$u3','e$u4')
| product2('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c13,d81]) ).
cnf(d83,plain,
( equalish('e$u1','e$u3')
| product2('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d82,d1]) ).
cnf(d84,plain,
product2('e$u1','e$u3','e$u4'),
inference(resolution,[status(thm)],[c5,d83]) ).
cnf(d85,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2')
| equalish('e$u1','e$u2') ),
inference(resolution,[status(thm)],[d84,d13]) ).
cnf(d86,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3')
| product2('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c4,d85]) ).
cnf(d87,plain,
( equalish('e$u2','e$u4')
| product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d86,d2]) ).
cnf(d88,plain,
( product2('e$u2','e$u4','e$u4')
| product2('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c9,d87]) ).
cnf(d89,plain,
( ~ product2('e$u2','e$u4',X0)
| equalish('e$u3',X0)
| product2('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d88,c22]) ).
cnf(d90,plain,
( ~ product1(X0,'e$u1','e$u4')
| equalish(X0,'e$u2')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d53,c19]) ).
cnf(d91,plain,
( product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u3','e$u1','e$u2')
| product1('e$u3','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d21,c2]) ).
cnf(d92,plain,
( equalish('e$u3','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d91,d19]) ).
cnf(d93,plain,
( product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c10,d92]) ).
cnf(d94,plain,
( product2('e$u2',X0,'e$u1')
| ~ product1('e$u1',X0,'e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d93,c26]) ).
cnf(d95,plain,
( product1('e$u1','e$u2','e$u4')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d94,d41]) ).
cnf(d96,plain,
( ~ product1('e$u1',X0,'e$u4')
| equalish('e$u2',X0)
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d95,c18]) ).
cnf(d97,plain,
( ~ product1('e$u1',X0,'e$u2')
| equalish('e$u3',X0)
| product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d31,c18]) ).
cnf(d98,plain,
( product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3')
| equalish('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d97,d46]) ).
cnf(d99,plain,
( product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u3','e$u4')
| product1('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c12,d98]) ).
cnf(d100,plain,
( equalish('e$u1','e$u3')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d99,d19]) ).
cnf(d101,plain,
( product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| product1('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c5,d100]) ).
cnf(d102,plain,
( ~ product1('e$u1',X0,'e$u4')
| equalish('e$u3',X0)
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d101,c18]) ).
cnf(d103,plain,
( product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3')
| equalish('e$u3','e$u2') ),
inference(resolution,[status(thm)],[d102,d95]) ).
cnf(d104,plain,
( product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u1','e$u4','e$u4')
| product1('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c11,d103]) ).
cnf(d105,plain,
( product2('e$u2','e$u4','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d104,d94]) ).
cnf(d106,plain,
( product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| equalish('e$u2','e$u4')
| product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d105,d96]) ).
cnf(d107,plain,
( product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c9,d106]) ).
cnf(d108,plain,
( equalish('e$u3','e$u1')
| product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d107,d20]) ).
cnf(d109,plain,
( product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1')
| product1('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c10,d108]) ).
cnf(d110,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| equalish('e$u3','e$u2')
| product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d109,d90]) ).
cnf(d111,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u2','e$u4','e$u1')
| product2('e$u2','e$u2','e$u1') ),
inference(resolution,[status(thm)],[c11,d110]) ).
cnf(d112,plain,
( equalish('e$u2','e$u1')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d111,d0]) ).
cnf(d113,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c7,d112]) ).
cnf(d114,plain,
( product2('e$u2','e$u4','e$u4')
| equalish('e$u3','e$u1')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d113,d89]) ).
cnf(d115,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c10,d114]) ).
cnf(d116,plain,
( equalish('e$u2','e$u4')
| product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d115,d1]) ).
cnf(d117,plain,
( product2('e$u3','e$u4','e$u1')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c9,d116]) ).
cnf(d118,plain,
( equalish('e$u3','e$u1')
| product2('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d117,d0]) ).
cnf(d119,plain,
product2('e$u3','e$u4','e$u1'),
inference(resolution,[status(thm)],[c10,d118]) ).
cnf(d120,plain,
( ~ product2('e$u3',X0,'e$u1')
| equalish('e$u4',X0) ),
inference(resolution,[status(thm)],[d119,c23]) ).
cnf(d121,plain,
( product2('e$u1',X0,'e$u3')
| ~ product1('e$u3',X0,'e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d55,c26]) ).
cnf(d122,plain,
( product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product2('e$u1','e$u1','e$u3')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d121,d93]) ).
cnf(d123,plain,
( equalish('e$u2','e$u3')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d122,d20]) ).
cnf(d124,plain,
( product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c8,d123]) ).
cnf(d125,plain,
( equalish('e$u2','e$u3')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d124,d19]) ).
cnf(d126,plain,
( product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c8,d125]) ).
cnf(d127,plain,
( ~ product1('e$u2',X0,'e$u4')
| equalish('e$u3',X0)
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d126,c18]) ).
cnf(d128,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| equalish('e$u2','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d126,d72]) ).
cnf(d129,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c7,d128]) ).
cnf(d130,plain,
( product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3')
| equalish('e$u3','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d129,d127]) ).
cnf(d131,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4')
| product1('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c10,d130]) ).
cnf(d132,plain,
( equalish('e$u3','e$u1')
| product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d131,d20]) ).
cnf(d133,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c10,d132]) ).
cnf(d134,plain,
( ~ product1(X0,'e$u1','e$u4')
| equalish(X0,'e$u3')
| product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d133,c19]) ).
cnf(d135,plain,
( ~ product1('e$u2',X0,'e$u3')
| equalish('e$u1',X0)
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d26,c18]) ).
cnf(d136,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d43,c1]) ).
cnf(d137,plain,
( ~ product1('e$u2',X0,'e$u1')
| equalish('e$u3',X0)
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d55,c18]) ).
cnf(d138,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2')
| equalish('e$u3','e$u4') ),
inference(resolution,[status(thm)],[d137,d136]) ).
cnf(d139,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3')
| product1('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c12,d138]) ).
cnf(d140,plain,
( equalish('e$u2','e$u3')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d139,d20]) ).
cnf(d141,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4')
| product1('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c8,d140]) ).
cnf(d142,plain,
( equalish('e$u2','e$u3')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d141,d19]) ).
cnf(d143,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c8,d142]) ).
cnf(d144,plain,
( ~ product1('e$u2',X0,'e$u4')
| equalish('e$u3',X0)
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d143,c18]) ).
cnf(d145,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u1','e$u4')
| equalish('e$u2','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d143,d72]) ).
cnf(d146,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c7,d145]) ).
cnf(d147,plain,
( product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2')
| equalish('e$u3','e$u1')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d146,d144]) ).
cnf(d148,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3')
| product1('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c10,d147]) ).
cnf(d149,plain,
( equalish('e$u2','e$u4')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d148,d20]) ).
cnf(d150,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c9,d149]) ).
cnf(d151,plain,
( product1('e$u2','e$u1','e$u4')
| equalish('e$u1','e$u4')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d150,d135]) ).
cnf(d152,plain,
( product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4')
| product1('e$u2','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c6,d151]) ).
cnf(d153,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| equalish('e$u2','e$u3')
| product2('e$u3','e$u3','e$u1')
| product1('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d152,d134]) ).
cnf(d154,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3')
| product1('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c8,d153]) ).
cnf(d155,plain,
( equalish('e$u2','e$u4')
| product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d154,d19]) ).
cnf(d156,plain,
( product2('e$u3','e$u3','e$u1')
| product2('e$u1','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c9,d155]) ).
cnf(d157,plain,
( equalish('e$u1','e$u3')
| product2('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d156,d0]) ).
cnf(d158,plain,
product2('e$u3','e$u3','e$u1'),
inference(resolution,[status(thm)],[c5,d157]) ).
cnf(d159,plain,
equalish('e$u4','e$u3'),
inference(resolution,[status(thm)],[d158,d120]) ).
cnf(d160,plain,
$false,
inference(resolution,[status(thm)],[c15,d159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-6.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42 % Computer : n017.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Fri Sep 25 14:20:32 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.37/8.30 % SZS status Unsatisfiable for theBenchmark.p
% 27.37/8.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------