%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP125-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:22:26 AM UTC 2026
% Result : Unsatisfiable 93.16s 16.14s
% Output : CNFRefutation 93.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 126
% Number of leaves : 39
% Syntax : Number of clauses : 546 ( 76 unt; 447 nHn; 544 RR)
% Number of literals : 2233 ( 0 equ; 174 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 148 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_then_e_2,axiom,
next('e$u1','e$u2') ).
cnf(e_2_then_e_3,axiom,
next('e$u2','e$u3') ).
cnf(e_3_then_e_4,axiom,
next('e$u3','e$u4') ).
cnf(e_4_greater_e_2,axiom,
greater('e$u4','e$u2') ).
cnf(e_4_greater_e_3,axiom,
greater('e$u4','e$u3') ).
cnf(e_5_greater_e_3,axiom,
greater('e$u5','e$u3') ).
cnf(e_5_greater_e_4,axiom,
greater('e$u5','e$u4') ).
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$u5') ).
cnf(e_1_is_not_e_2,axiom,
~ equalish('e$u1','e$u2') ).
cnf(e_1_is_not_e_3,axiom,
~ equalish('e$u1','e$u3') ).
cnf(e_1_is_not_e_4,axiom,
~ equalish('e$u1','e$u4') ).
cnf(e_1_is_not_e_5,axiom,
~ equalish('e$u1','e$u5') ).
cnf(e_2_is_not_e_1,axiom,
~ equalish('e$u2','e$u1') ).
cnf(e_2_is_not_e_3,axiom,
~ equalish('e$u2','e$u3') ).
cnf(e_2_is_not_e_4,axiom,
~ equalish('e$u2','e$u4') ).
cnf(e_2_is_not_e_5,axiom,
~ equalish('e$u2','e$u5') ).
cnf(e_3_is_not_e_1,axiom,
~ equalish('e$u3','e$u1') ).
cnf(e_3_is_not_e_2,axiom,
~ equalish('e$u3','e$u2') ).
cnf(e_3_is_not_e_4,axiom,
~ equalish('e$u3','e$u4') ).
cnf(e_3_is_not_e_5,axiom,
~ equalish('e$u3','e$u5') ).
cnf(e_4_is_not_e_1,axiom,
~ equalish('e$u4','e$u1') ).
cnf(e_4_is_not_e_2,axiom,
~ equalish('e$u4','e$u2') ).
cnf(e_4_is_not_e_3,axiom,
~ equalish('e$u4','e$u3') ).
cnf(e_4_is_not_e_5,axiom,
~ equalish('e$u4','e$u5') ).
cnf(e_5_is_not_e_1,axiom,
~ equalish('e$u5','e$u1') ).
cnf(e_5_is_not_e_2,axiom,
~ equalish('e$u5','e$u2') ).
cnf(e_5_is_not_e_3,axiom,
~ equalish('e$u5','e$u3') ).
cnf(e_5_is_not_e_4,axiom,
~ equalish('e$u5','e$u4') ).
cnf(product_total_function1,axiom,
( product(X0,X1,'e$u5')
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X1)
| ~ 'group$uelement'(X0) ) ).
cnf(product_total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_right_cancellation,axiom,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(qg3,negated_conjecture,
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ) ).
cnf(c0,plain,
next('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_then_e_2]) ).
cnf(c1,plain,
next('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_then_e_3]) ).
cnf(c2,plain,
next('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_then_e_4]) ).
cnf(c9,plain,
greater('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_greater_e_2]) ).
cnf(c11,plain,
greater('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_greater_e_3]) ).
cnf(c12,plain,
greater('e$u5','e$u3'),
inference(clausification,[status(esa)],[e_5_greater_e_3]) ).
cnf(c13,plain,
greater('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_greater_e_4]) ).
cnf(c14,plain,
( ~ greater(X2,X1)
| ~ product(X0,'e$u1',X2)
| ~ next(X0,X1) ),
inference(clausification,[status(esa)],[no_redundancy]) ).
cnf(c15,plain,
'group$uelement'('e$u1'),
inference(clausification,[status(esa)],[element_1]) ).
cnf(c16,plain,
'group$uelement'('e$u2'),
inference(clausification,[status(esa)],[element_2]) ).
cnf(c17,plain,
'group$uelement'('e$u3'),
inference(clausification,[status(esa)],[element_3]) ).
cnf(c18,plain,
'group$uelement'('e$u4'),
inference(clausification,[status(esa)],[element_4]) ).
cnf(c19,plain,
'group$uelement'('e$u5'),
inference(clausification,[status(esa)],[element_5]) ).
cnf(c20,plain,
~ equalish('e$u1','e$u2'),
inference(clausification,[status(esa)],[e_1_is_not_e_2]) ).
cnf(c21,plain,
~ equalish('e$u1','e$u3'),
inference(clausification,[status(esa)],[e_1_is_not_e_3]) ).
cnf(c22,plain,
~ equalish('e$u1','e$u4'),
inference(clausification,[status(esa)],[e_1_is_not_e_4]) ).
cnf(c23,plain,
~ equalish('e$u1','e$u5'),
inference(clausification,[status(esa)],[e_1_is_not_e_5]) ).
cnf(c24,plain,
~ equalish('e$u2','e$u1'),
inference(clausification,[status(esa)],[e_2_is_not_e_1]) ).
cnf(c25,plain,
~ equalish('e$u2','e$u3'),
inference(clausification,[status(esa)],[e_2_is_not_e_3]) ).
cnf(c26,plain,
~ equalish('e$u2','e$u4'),
inference(clausification,[status(esa)],[e_2_is_not_e_4]) ).
cnf(c27,plain,
~ equalish('e$u2','e$u5'),
inference(clausification,[status(esa)],[e_2_is_not_e_5]) ).
cnf(c28,plain,
~ equalish('e$u3','e$u1'),
inference(clausification,[status(esa)],[e_3_is_not_e_1]) ).
cnf(c29,plain,
~ equalish('e$u3','e$u2'),
inference(clausification,[status(esa)],[e_3_is_not_e_2]) ).
cnf(c30,plain,
~ equalish('e$u3','e$u4'),
inference(clausification,[status(esa)],[e_3_is_not_e_4]) ).
cnf(c31,plain,
~ equalish('e$u3','e$u5'),
inference(clausification,[status(esa)],[e_3_is_not_e_5]) ).
cnf(c32,plain,
~ equalish('e$u4','e$u1'),
inference(clausification,[status(esa)],[e_4_is_not_e_1]) ).
cnf(c33,plain,
~ equalish('e$u4','e$u2'),
inference(clausification,[status(esa)],[e_4_is_not_e_2]) ).
cnf(c34,plain,
~ equalish('e$u4','e$u3'),
inference(clausification,[status(esa)],[e_4_is_not_e_3]) ).
cnf(c35,plain,
~ equalish('e$u4','e$u5'),
inference(clausification,[status(esa)],[e_4_is_not_e_5]) ).
cnf(c36,plain,
~ equalish('e$u5','e$u1'),
inference(clausification,[status(esa)],[e_5_is_not_e_1]) ).
cnf(c37,plain,
~ equalish('e$u5','e$u2'),
inference(clausification,[status(esa)],[e_5_is_not_e_2]) ).
cnf(c38,plain,
~ equalish('e$u5','e$u3'),
inference(clausification,[status(esa)],[e_5_is_not_e_3]) ).
cnf(c39,plain,
~ equalish('e$u5','e$u4'),
inference(clausification,[status(esa)],[e_5_is_not_e_4]) ).
cnf(c40,plain,
( ~ 'group$uelement'(X1)
| product(X0,X1,'e$u4')
| product(X0,X1,'e$u1')
| ~ 'group$uelement'(X0)
| product(X0,X1,'e$u5')
| product(X0,X1,'e$u3')
| product(X0,X1,'e$u2') ),
inference(clausification,[status(esa)],[product_total_function1]) ).
cnf(c41,plain,
( equalish(X3,X2)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_total_function2]) ).
cnf(c42,plain,
( equalish(X3,X1)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_right_cancellation]) ).
cnf(c43,plain,
( equalish(X3,X0)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[product_left_cancellation]) ).
cnf(c44,plain,
product(X0,X0,X0),
inference(clausification,[status(esa)],[product_idempotence]) ).
cnf(c45,plain,
( product(X3,X2,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[qg3]) ).
cnf(d0,plain,
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[c41,c44]) ).
cnf(d1,plain,
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[c42,c44]) ).
cnf(d2,plain,
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[c43,c44]) ).
cnf(d3,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$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$u1') ),
inference(resolution,[status(thm)],[c40,c17]) ).
cnf(d4,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2')
| product('e$u1','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d3,c15]) ).
cnf(d5,plain,
( equalish('e$u3','e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c28,d5]) ).
cnf(d7,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$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$u1') ),
inference(resolution,[status(thm)],[c40,c15]) ).
cnf(d8,plain,
( product('e$u2','e$u1','e$u5')
| product('e$u2','e$u1','e$u4')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d7,c16]) ).
cnf(d9,plain,
( ~ product('e$u2','e$u1',X0)
| ~ greater(X0,'e$u3') ),
inference(resolution,[status(thm)],[c14,c1]) ).
cnf(d10,plain,
~ product('e$u2','e$u1','e$u5'),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,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)],[d10,d8]) ).
cnf(d12,plain,
~ product('e$u2','e$u1','e$u4'),
inference(resolution,[status(thm)],[d9,c11]) ).
cnf(d13,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2')
| product('e$u2','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d13,d2]) ).
cnf(d15,plain,
( product('e$u2','e$u1','e$u3')
| product('e$u2','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c20,d14]) ).
cnf(d16,plain,
( equalish('e$u1','e$u2')
| product('e$u2','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
product('e$u2','e$u1','e$u3'),
inference(resolution,[status(thm)],[c20,d16]) ).
cnf(d18,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u1','e$u3') ),
inference(resolution,[status(thm)],[d17,c43]) ).
cnf(d19,plain,
( equalish(X0,'e$u1')
| ~ product('e$u2',X0,'e$u3') ),
inference(resolution,[status(thm)],[d17,c42]) ).
cnf(d20,plain,
( product('e$u3','e$u1','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2')
| product('e$u3','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d21,plain,
( ~ product('e$u3','e$u1',X0)
| ~ greater(X0,'e$u4') ),
inference(resolution,[status(thm)],[c14,c2]) ).
cnf(d22,plain,
~ product('e$u3','e$u1','e$u5'),
inference(resolution,[status(thm)],[d21,c13]) ).
cnf(d23,plain,
( product('e$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$u1') ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
( equalish('e$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)],[d23,d2]) ).
cnf(d25,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c21,d24]) ).
cnf(d26,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u2',X0,'e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d25,c45]) ).
cnf(d27,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d6,d26]) ).
cnf(d28,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d27,d2]) ).
cnf(d29,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d28]) ).
cnf(d30,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u5','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
( equalish('e$u2','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d31,d19]) ).
cnf(d33,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c24,d32]) ).
cnf(d34,plain,
( equalish('e$u4','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d33,d19]) ).
cnf(d35,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u2','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c32,d34]) ).
cnf(d36,plain,
( equalish('e$u5','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d35,d19]) ).
cnf(d37,plain,
( product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d36]) ).
cnf(d38,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d37,d18]) ).
cnf(d39,plain,
product('e$u3','e$u1','e$u4'),
inference(resolution,[status(thm)],[c25,d38]) ).
cnf(d40,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u4',X0,'e$u3') ),
inference(resolution,[status(thm)],[d39,c45]) ).
cnf(d41,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d40,d6]) ).
cnf(d42,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d41,d2]) ).
cnf(d43,plain,
( product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d42]) ).
cnf(d44,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d43,c42]) ).
cnf(d45,plain,
( ~ product('e$u1','e$u2',X0)
| product('e$u3',X0,'e$u2') ),
inference(resolution,[status(thm)],[d17,c45]) ).
cnf(d46,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$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$u1') ),
inference(resolution,[status(thm)],[c40,c16]) ).
cnf(d47,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2')
| product('e$u1','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d46,c15]) ).
cnf(d48,plain,
( equalish('e$u2','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d47,d1]) ).
cnf(d49,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3')
| product('e$u1','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c24,d48]) ).
cnf(d50,plain,
( equalish('e$u2','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d49,d2]) ).
cnf(d51,plain,
( product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u1','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c24,d50]) ).
cnf(d52,plain,
( product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d51,d45]) ).
cnf(d53,plain,
( product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d52,d45]) ).
cnf(d54,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d53,d45]) ).
cnf(d55,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d54,d0]) ).
cnf(d56,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c29,d55]) ).
cnf(d57,plain,
( equalish(X0,'e$u4')
| ~ product('e$u3',X0,'e$u2')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d56,c42]) ).
cnf(d58,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d52,c45]) ).
cnf(d59,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d58,d17]) ).
cnf(d60,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d59,d45]) ).
cnf(d61,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u5','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d60,d57]) ).
cnf(d62,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c30,d61]) ).
cnf(d63,plain,
( equalish('e$u2',X0)
| ~ product('e$u3','e$u5',X0)
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,c41]) ).
cnf(d64,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u5','e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,c43]) ).
cnf(d65,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$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$u1') ),
inference(resolution,[status(thm)],[c40,c18]) ).
cnf(d66,plain,
( product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d65,c16]) ).
cnf(d67,plain,
( ~ 'group$uelement'(X0)
| product(X0,'e$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$u1') ),
inference(resolution,[status(thm)],[c40,c19]) ).
cnf(d68,plain,
( product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d67,c16]) ).
cnf(d69,plain,
( equalish(X0,'e$u5')
| ~ product('e$u2',X0,'e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d68,c42]) ).
cnf(d70,plain,
( product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| equalish('e$u4','e$u5')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d69,d66]) ).
cnf(d71,plain,
( product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c35,d70]) ).
cnf(d72,plain,
( equalish('e$u4','e$u2')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d71,d1]) ).
cnf(d73,plain,
( product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c33,d72]) ).
cnf(d74,plain,
( equalish('e$u4','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d73,d19]) ).
cnf(d75,plain,
( product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c32,d74]) ).
cnf(d76,plain,
( equalish('e$u4','e$u2')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d75,d2]) ).
cnf(d77,plain,
( product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c33,d76]) ).
cnf(d78,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u4','e$u5')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d77,c43]) ).
cnf(d79,plain,
( equalish(X0,'e$u1')
| ~ product('e$u3',X0,'e$u4') ),
inference(resolution,[status(thm)],[d39,c42]) ).
cnf(d80,plain,
( equalish(X0,'e$u5')
| ~ product('e$u3',X0,'e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,c42]) ).
cnf(d81,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u2','e$u5')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d53,c43]) ).
cnf(d82,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d65,c17]) ).
cnf(d83,plain,
( product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| product('e$u3','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d46,c17]) ).
cnf(d84,plain,
( equalish(X0,'e$u2')
| ~ product('e$u3',X0,'e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d83,c42]) ).
cnf(d85,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| equalish('e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d84,d82]) ).
cnf(d86,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c33,d85]) ).
cnf(d87,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d86,d2]) ).
cnf(d88,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c25,d87]) ).
cnf(d89,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d88,d1]) ).
cnf(d90,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c25,d89]) ).
cnf(d91,plain,
( equalish('e$u2','e$u1')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d90,d79]) ).
cnf(d92,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c24,d91]) ).
cnf(d93,plain,
( equalish('e$u1','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d92,d81]) ).
cnf(d94,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c21,d93]) ).
cnf(d95,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d94,d0]) ).
cnf(d96,plain,
( product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c29,d95]) ).
cnf(d97,plain,
( equalish('e$u4','e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d96,d80]) ).
cnf(d98,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c35,d97]) ).
cnf(d99,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d98,d1]) ).
cnf(d100,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c34,d99]) ).
cnf(d101,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d100,d79]) ).
cnf(d102,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d101]) ).
cnf(d103,plain,
( equalish('e$u2','e$u3')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d102,d78]) ).
cnf(d104,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3')
| product('e$u2','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c25,d103]) ).
cnf(d105,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d104,d64]) ).
cnf(d106,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4')
| product('e$u2','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c29,d105]) ).
cnf(d107,plain,
( equalish('e$u5','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d106,d19]) ).
cnf(d108,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u2','e$u5','e$u4') ),
inference(resolution,[status(thm)],[c36,d107]) ).
cnf(d109,plain,
( equalish('e$u4',X0)
| ~ product('e$u2','e$u5',X0)
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d108,c41]) ).
cnf(d110,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u4','e$u5')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d102,c43]) ).
cnf(d111,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u4') ),
inference(resolution,[status(thm)],[d39,c43]) ).
cnf(d112,plain,
( equalish(X0,'e$u5')
| ~ product('e$u2',X0,'e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d108,c42]) ).
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')
| product('e$u4','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d7,c18]) ).
cnf(d114,plain,
( equalish('e$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$u2') ),
inference(resolution,[status(thm)],[d113,d2]) ).
cnf(d115,plain,
( product('e$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$u2') ),
inference(resolution,[status(thm)],[c22,d114]) ).
cnf(d116,plain,
( ~ product('e$u1','e$u4',X0)
| product('e$u2',X0,'e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d115,c45]) ).
cnf(d117,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2')
| product('e$u1','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d65,c15]) ).
cnf(d118,plain,
( equalish('e$u4','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d117,d1]) ).
cnf(d119,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u1','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c32,d118]) ).
cnf(d120,plain,
( product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d116,d119]) ).
cnf(d121,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u2','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d120,d116]) ).
cnf(d122,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d121,d2]) ).
cnf(d123,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d122]) ).
cnf(d124,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u4')
| equalish('e$u3','e$u1')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d110,d123]) ).
cnf(d125,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c28,d124]) ).
cnf(d126,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d125,d0]) ).
cnf(d127,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c26,d126]) ).
cnf(d128,plain,
( equalish('e$u3','e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d127,d112]) ).
cnf(d129,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c31,d128]) ).
cnf(d130,plain,
( equalish('e$u5','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d129,d2]) ).
cnf(d131,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c37,d130]) ).
cnf(d132,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d131,d18]) ).
cnf(d133,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c26,d132]) ).
cnf(d134,plain,
( equalish('e$u3','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d133,d111]) ).
cnf(d135,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c30,d134]) ).
cnf(d136,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u2',X0,'e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d119,c45]) ).
cnf(d137,plain,
( product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d135,d136]) ).
cnf(d138,plain,
( ~ product('e$u4','e$u1',X0)
| product('e$u3',X0,'e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d137,c45]) ).
cnf(d139,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d138,d135]) ).
cnf(d140,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d139,d2]) ).
cnf(d141,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u1')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d140]) ).
cnf(d142,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d141,d110]) ).
cnf(d143,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u1') ),
inference(resolution,[status(thm)],[c28,d142]) ).
cnf(d144,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d143,d109]) ).
cnf(d145,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c32,d144]) ).
cnf(d146,plain,
( equalish('e$u5','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d145,d2]) ).
cnf(d147,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u5','e$u1') ),
inference(resolution,[status(thm)],[c37,d146]) ).
cnf(d148,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d147,d63]) ).
cnf(d149,plain,
product('e$u4','e$u3','e$u1'),
inference(resolution,[status(thm)],[c24,d148]) ).
cnf(d150,plain,
( ~ product('e$u3','e$u4',X0)
| product('e$u1',X0,'e$u4') ),
inference(resolution,[status(thm)],[d149,c45]) ).
cnf(d151,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d150,d56]) ).
cnf(d152,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d151,d44]) ).
cnf(d153,plain,
( product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c25,d152]) ).
cnf(d154,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d153,c42]) ).
cnf(d155,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u4')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d151,c42]) ).
cnf(d156,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u4','e$u2')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d56,c43]) ).
cnf(d157,plain,
( equalish('e$u3','e$u1')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d119,d156]) ).
cnf(d158,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c28,d157]) ).
cnf(d159,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u4','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d158,c43]) ).
cnf(d160,plain,
( equalish('e$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)],[d25,c43]) ).
cnf(d161,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2')
| product('e$u5','e$u1','e$u1') ),
inference(resolution,[status(thm)],[d7,c19]) ).
cnf(d162,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[d161,d2]) ).
cnf(d163,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u1','e$u2') ),
inference(resolution,[status(thm)],[c23,d162]) ).
cnf(d164,plain,
( equalish('e$u3','e$u5')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d163,d160]) ).
cnf(d165,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c31,d164]) ).
cnf(d166,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d165,d18]) ).
cnf(d167,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d166]) ).
cnf(d168,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u1','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d167,c43]) ).
cnf(d169,plain,
( equalish('e$u5',X0)
| ~ product(X0,'e$u1','e$u2')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d163,c43]) ).
cnf(d170,plain,
( product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3')
| equalish('e$u5','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d169,d115]) ).
cnf(d171,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4')
| product('e$u4','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c39,d170]) ).
cnf(d172,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d171,d18]) ).
cnf(d173,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5')
| product('e$u4','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c26,d172]) ).
cnf(d174,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$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)],[d173,d168]) ).
cnf(d175,plain,
( product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u4','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c30,d174]) ).
cnf(d176,plain,
( equalish(X0,'e$u1')
| ~ product('e$u4',X0,'e$u5')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d175,c42]) ).
cnf(d177,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d46,c18]) ).
cnf(d178,plain,
( equalish('e$u3',X0)
| ~ product(X0,'e$u2','e$u1')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d83,c43]) ).
cnf(d179,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| equalish('e$u3','e$u4')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d178,d177]) ).
cnf(d180,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c30,d179]) ).
cnf(d181,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d180,d2]) ).
cnf(d182,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c25,d181]) ).
cnf(d183,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d182,d1]) ).
cnf(d184,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c25,d183]) ).
cnf(d185,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d184,d79]) ).
cnf(d186,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c24,d185]) ).
cnf(d187,plain,
( equalish('e$u1','e$u3')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d186,d81]) ).
cnf(d188,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u4','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c21,d187]) ).
cnf(d189,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d188,d0]) ).
cnf(d190,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u4','e$u2') ),
inference(resolution,[status(thm)],[c29,d189]) ).
cnf(d191,plain,
( equalish(X0,'e$u4')
| ~ product('e$u3',X0,'e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d190,c42]) ).
cnf(d192,plain,
( ~ product('e$u2','e$u4',X0)
| product('e$u1',X0,'e$u4')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d177,c45]) ).
cnf(d193,plain,
( product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d192,d66]) ).
cnf(d194,plain,
( ~ product('e$u1','e$u1',X0)
| ~ greater(X0,'e$u2') ),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(d195,plain,
~ product('e$u1','e$u1','e$u4'),
inference(resolution,[status(thm)],[d194,c9]) ).
cnf(d196,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3')
| product('e$u2','e$u4','e$u2') ),
inference(resolution,[status(thm)],[d195,d193]) ).
cnf(d197,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d196,d1]) ).
cnf(d198,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4')
| product('e$u2','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c33,d197]) ).
cnf(d199,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d198,d19]) ).
cnf(d200,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5')
| product('e$u2','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c32,d199]) ).
cnf(d201,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d200,d2]) ).
cnf(d202,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u2','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c33,d201]) ).
cnf(d203,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u5','e$u4')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d202,d192]) ).
cnf(d204,plain,
( equalish('e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d203,d44]) ).
cnf(d205,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c38,d204]) ).
cnf(d206,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d205,c42]) ).
cnf(d207,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u4')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d52,c42]) ).
cnf(d208,plain,
( equalish('e$u5','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d203,d207]) ).
cnf(d209,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c37,d208]) ).
cnf(d210,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d209,d206]) ).
cnf(d211,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c25,d210]) ).
cnf(d212,plain,
( equalish('e$u3','e$u4')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d211,d191]) ).
cnf(d213,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3')
| product('e$u4','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c30,d212]) ).
cnf(d214,plain,
( equalish('e$u2','e$u4')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d213,d2]) ).
cnf(d215,plain,
( product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c26,d214]) ).
cnf(d216,plain,
( equalish(X0,'e$u2')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d215,c42]) ).
cnf(d217,plain,
( equalish(X0,'e$u1')
| ~ product('e$u3',X0,'e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[d25,c42]) ).
cnf(d218,plain,
( equalish('e$u4','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d56,d217]) ).
cnf(d219,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c32,d218]) ).
cnf(d220,plain,
( equalish('e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d219,d18]) ).
cnf(d221,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d220]) ).
cnf(d222,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u4',X0,'e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d221,c45]) ).
cnf(d223,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d222,d6]) ).
cnf(d224,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d223,d2]) ).
cnf(d225,plain,
( product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d224]) ).
cnf(d226,plain,
( equalish('e$u3','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d225,d207]) ).
cnf(d227,plain,
( product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c29,d226]) ).
cnf(d228,plain,
( product('e$u3','e$u5','e$u2')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d227,d45]) ).
cnf(d229,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d228,d222]) ).
cnf(d230,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u5','e$u2')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d229,d57]) ).
cnf(d231,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c30,d230]) ).
cnf(d232,plain,
( equalish(X0,'e$u5')
| ~ product('e$u3',X0,'e$u2')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d231,c42]) ).
cnf(d233,plain,
( equalish('e$u4','e$u5')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d96,d232]) ).
cnf(d234,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c35,d233]) ).
cnf(d235,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d234,d1]) ).
cnf(d236,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c34,d235]) ).
cnf(d237,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d236,d79]) ).
cnf(d238,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d237]) ).
cnf(d239,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d150,d238]) ).
cnf(d240,plain,
( equalish('e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d239,d44]) ).
cnf(d241,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c38,d240]) ).
cnf(d242,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d241,d40]) ).
cnf(d243,plain,
( equalish(X0,'e$u2')
| ~ product('e$u4',X0,'e$u3')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d242,c42]) ).
cnf(d244,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u2',X0,'e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d6,c45]) ).
cnf(d245,plain,
( product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d39,d244]) ).
cnf(d246,plain,
( equalish('e$u3','e$u1')
| product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d245,d2]) ).
cnf(d247,plain,
( product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d246]) ).
cnf(d248,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d247,d40]) ).
cnf(d249,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d248,d40]) ).
cnf(d250,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u4','e$u1')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d249,c43]) ).
cnf(d251,plain,
( ~ product('e$u5','e$u3',X0)
| product('e$u2',X0,'e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,c45]) ).
cnf(d252,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u5','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d3,c19]) ).
cnf(d253,plain,
( equalish('e$u5',X0)
| ~ product(X0,'e$u3','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d252,c43]) ).
cnf(d254,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u2','e$u3')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d51,c43]) ).
cnf(d255,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u3',X0,'e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d51,c45]) ).
cnf(d256,plain,
( product('e$u3','e$u3','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d255,d17]) ).
cnf(d257,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d256,c45]) ).
cnf(d258,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d257,d17]) ).
cnf(d259,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d258,c42]) ).
cnf(d260,plain,
( equalish('e$u5','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,d217]) ).
cnf(d261,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u1','e$u4')
| product('e$u3','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c36,d260]) ).
cnf(d262,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d261,d18]) ).
cnf(d263,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u3','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c25,d262]) ).
cnf(d264,plain,
( ~ product('e$u1','e$u3',X0)
| product('e$u4',X0,'e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d263,c45]) ).
cnf(d265,plain,
( product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4')
| product('e$u1','e$u3','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d264,d6]) ).
cnf(d266,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d265,d2]) ).
cnf(d267,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u1','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d266]) ).
cnf(d268,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d267,d264]) ).
cnf(d269,plain,
( equalish('e$u3','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u3','e$u3','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d268,d259]) ).
cnf(d270,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c29,d269]) ).
cnf(d271,plain,
( equalish('e$u3','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d270,d0]) ).
cnf(d272,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c28,d271]) ).
cnf(d273,plain,
( equalish('e$u1','e$u4')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d272,d254]) ).
cnf(d274,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c22,d273]) ).
cnf(d275,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d274,c45]) ).
cnf(d276,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d275,d17]) ).
cnf(d277,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d276,c42]) ).
cnf(d278,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u5','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d108,c43]) ).
cnf(d279,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u3')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d51,c42]) ).
cnf(d280,plain,
( 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$u1') ),
inference(resolution,[status(thm)],[d67,c15]) ).
cnf(d281,plain,
( equalish('e$u5','e$u1')
| product('e$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$u2') ),
inference(resolution,[status(thm)],[d280,d1]) ).
cnf(d282,plain,
( product('e$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$u2') ),
inference(resolution,[status(thm)],[c36,d281]) ).
cnf(d283,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u5','e$u2')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d282,c43]) ).
cnf(d284,plain,
( equalish('e$u1','e$u3')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d62,d283]) ).
cnf(d285,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c21,d284]) ).
cnf(d286,plain,
( equalish('e$u5','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d285,d279]) ).
cnf(d287,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u2','e$u5')
| product('e$u1','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c37,d286]) ).
cnf(d288,plain,
( ~ product('e$u2','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d287,c45]) ).
cnf(d289,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d288,d17]) ).
cnf(d290,plain,
( equalish(X0,'e$u2')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d289,c42]) ).
cnf(d291,plain,
( equalish(X0,'e$u5')
| ~ product('e$u1',X0,'e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d285,c42]) ).
cnf(d292,plain,
( equalish(X0,'e$u4')
| ~ product('e$u1',X0,'e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d119,c42]) ).
cnf(d293,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u5')
| product('e$u4','e$u4','e$u3')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d248,c42]) ).
cnf(d294,plain,
( equalish('e$u2','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u2','e$u4','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d276,d293]) ).
cnf(d295,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c25,d294]) ).
cnf(d296,plain,
( ~ product('e$u4','e$u2',X0)
| product('e$u1',X0,'e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d295,c45]) ).
cnf(d297,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d296,d272]) ).
cnf(d298,plain,
( equalish('e$u3','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d297,d292]) ).
cnf(d299,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u1','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c30,d298]) ).
cnf(d300,plain,
( equalish('e$u4','e$u5')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d299,d291]) ).
cnf(d301,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c35,d300]) ).
cnf(d302,plain,
( equalish('e$u4','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d301,d2]) ).
cnf(d303,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d302]) ).
cnf(d304,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d303,d290]) ).
cnf(d305,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[c33,d304]) ).
cnf(d306,plain,
( equalish('e$u2','e$u1')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d305,d278]) ).
cnf(d307,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5')
| product('e$u1','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c24,d306]) ).
cnf(d308,plain,
( equalish('e$u5','e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d307,d277]) ).
cnf(d309,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1')
| product('e$u2','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c37,d308]) ).
cnf(d310,plain,
( equalish('e$u5','e$u2')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d309,d2]) ).
cnf(d311,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c37,d310]) ).
cnf(d312,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d311,d253]) ).
cnf(d313,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c39,d312]) ).
cnf(d314,plain,
( equalish('e$u4','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d313,d0]) ).
cnf(d315,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c34,d314]) ).
cnf(d316,plain,
( product('e$u4','e$u3','e$u1')
| product('e$u2','e$u2','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d315,d251]) ).
cnf(d317,plain,
( equalish('e$u2','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d316,d19]) ).
cnf(d318,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u3','e$u1') ),
inference(resolution,[status(thm)],[c24,d317]) ).
cnf(d319,plain,
( equalish(X0,'e$u3')
| ~ product('e$u4',X0,'e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d318,c42]) ).
cnf(d320,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d43,c45]) ).
cnf(d321,plain,
( product('e$u4','e$u2','e$u3')
| product('e$u4','e$u4','e$u1')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d320,d39]) ).
cnf(d322,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u5',X0,'e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d321,c45]) ).
cnf(d323,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d322,d39]) ).
cnf(d324,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u4',X0,'e$u1')
| product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d247,c45]) ).
cnf(d325,plain,
( product('e$u4','e$u4','e$u1')
| product('e$u2','e$u4','e$u1')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d324,d39]) ).
cnf(d326,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u5',X0,'e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d325,c45]) ).
cnf(d327,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u2','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d326,d39]) ).
cnf(d328,plain,
( ~ product('e$u4','e$u2',X0)
| product('e$u1',X0,'e$u2')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d327,c45]) ).
cnf(d329,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d328,d323]) ).
cnf(d330,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u3','e$u2')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d329,c43]) ).
cnf(d331,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d315,d330]) ).
cnf(d332,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c23,d331]) ).
cnf(d333,plain,
( equalish('e$u4','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d332,d319]) ).
cnf(d334,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c34,d333]) ).
cnf(d335,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d334,d2]) ).
cnf(d336,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c31,d335]) ).
cnf(d337,plain,
( equalish(X0,'e$u3')
| ~ product('e$u5',X0,'e$u4')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d336,c42]) ).
cnf(d338,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u5',X0,'e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d228,c45]) ).
cnf(d339,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d338,d39]) ).
cnf(d340,plain,
( equalish('e$u3','e$u4')
| product('e$u3','e$u5','e$u2')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d339,d57]) ).
cnf(d341,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c30,d340]) ).
cnf(d342,plain,
( equalish(X0,'e$u5')
| ~ product('e$u3',X0,'e$u2')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d341,c42]) ).
cnf(d343,plain,
( equalish('e$u4','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d96,d342]) ).
cnf(d344,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c35,d343]) ).
cnf(d345,plain,
( equalish('e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d344,d1]) ).
cnf(d346,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c34,d345]) ).
cnf(d347,plain,
( equalish('e$u4','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d346,d79]) ).
cnf(d348,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d347]) ).
cnf(d349,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d150,d348]) ).
cnf(d350,plain,
( equalish('e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d349,d44]) ).
cnf(d351,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c38,d350]) ).
cnf(d352,plain,
( ~ product('e$u3','e$u1',X0)
| product('e$u5',X0,'e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d351,c45]) ).
cnf(d353,plain,
( product('e$u5','e$u4','e$u1')
| product('e$u5','e$u4','e$u1')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d352,d39]) ).
cnf(d354,plain,
( equalish('e$u4',X0)
| ~ product(X0,'e$u2','e$u3')
| product('e$u5','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d353,c43]) ).
cnf(d355,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u5','e$u2','e$u1') ),
inference(resolution,[status(thm)],[d46,c19]) ).
cnf(d356,plain,
( equalish('e$u5',X0)
| ~ product(X0,'e$u2','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d355,c43]) ).
cnf(d357,plain,
( product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2')
| equalish('e$u5','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d356,d83]) ).
cnf(d358,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3')
| product('e$u3','e$u2','e$u2') ),
inference(resolution,[status(thm)],[c38,d357]) ).
cnf(d359,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d358,d2]) ).
cnf(d360,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4')
| product('e$u3','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c25,d359]) ).
cnf(d361,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d360,d1]) ).
cnf(d362,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5')
| product('e$u3','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c25,d361]) ).
cnf(d363,plain,
( equalish('e$u2','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d362,d79]) ).
cnf(d364,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u3','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c24,d363]) ).
cnf(d365,plain,
( ~ product('e$u2','e$u3',X0)
| product('e$u5',X0,'e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d364,c45]) ).
cnf(d366,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2')
| product('e$u2','e$u3','e$u1') ),
inference(resolution,[status(thm)],[d3,c16]) ).
cnf(d367,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d366,c43]) ).
cnf(d368,plain,
( equalish('e$u2','e$u4')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d149,d367]) ).
cnf(d369,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3')
| product('e$u2','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c26,d368]) ).
cnf(d370,plain,
( equalish('e$u3','e$u2')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d369,d1]) ).
cnf(d371,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4')
| product('e$u2','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c29,d370]) ).
cnf(d372,plain,
( equalish('e$u3','e$u1')
| product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d371,d19]) ).
cnf(d373,plain,
( product('e$u2','e$u3','e$u5')
| product('e$u2','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c28,d372]) ).
cnf(d374,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u5','e$u4','e$u3')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d373,d365]) ).
cnf(d375,plain,
( product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3')
| product('e$u5','e$u2','e$u2') ),
inference(resolution,[status(thm)],[d374,d365]) ).
cnf(d376,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d375,d2]) ).
cnf(d377,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4')
| product('e$u5','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c27,d376]) ).
cnf(d378,plain,
( equalish('e$u4','e$u5')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[d377,d354]) ).
cnf(d379,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u2','e$u5')
| product('e$u5','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c35,d378]) ).
cnf(d380,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d379,d337]) ).
cnf(d381,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c25,d380]) ).
cnf(d382,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d381,d1]) ).
cnf(d383,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c27,d382]) ).
cnf(d384,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1') ),
inference(resolution,[status(thm)],[d383,d1]) ).
cnf(d385,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u4','e$u1') ),
inference(resolution,[status(thm)],[c31,d384]) ).
cnf(d386,plain,
( equalish('e$u2','e$u5')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d385,d250]) ).
cnf(d387,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c27,d386]) ).
cnf(d388,plain,
( equalish('e$u4','e$u2')
| product('e$u4','e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d387,d243]) ).
cnf(d389,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c33,d388]) ).
cnf(d390,plain,
( equalish('e$u5','e$u2')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d389,d216]) ).
cnf(d391,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u2','e$u5')
| product('e$u4','e$u2','e$u4') ),
inference(resolution,[status(thm)],[c37,d390]) ).
cnf(d392,plain,
( equalish('e$u2','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u2','e$u5') ),
inference(resolution,[status(thm)],[d391,d1]) ).
cnf(d393,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u4','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c26,d392]) ).
cnf(d394,plain,
( equalish('e$u2','e$u1')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d393,d176]) ).
cnf(d395,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4')
| product('e$u5','e$u1','e$u3') ),
inference(resolution,[status(thm)],[c24,d394]) ).
cnf(d396,plain,
( equalish('e$u2','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[d395,d18]) ).
cnf(d397,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u1','e$u5')
| product('e$u5','e$u1','e$u4') ),
inference(resolution,[status(thm)],[c27,d396]) ).
cnf(d398,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[d397,d111]) ).
cnf(d399,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3')
| product('e$u5','e$u1','e$u5') ),
inference(resolution,[status(thm)],[c31,d398]) ).
cnf(d400,plain,
( equalish('e$u1','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d399,d1]) ).
cnf(d401,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c23,d400]) ).
cnf(d402,plain,
( equalish('e$u1','e$u5')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d401,d159]) ).
cnf(d403,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5')
| product('e$u1','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c23,d402]) ).
cnf(d404,plain,
( equalish('e$u4','e$u2')
| product('e$u3','e$u5','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d403,d155]) ).
cnf(d405,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u1','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c33,d404]) ).
cnf(d406,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d405,d154]) ).
cnf(d407,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c34,d406]) ).
cnf(d408,plain,
( equalish(X0,'e$u5')
| ~ product('e$u3',X0,'e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d407,c42]) ).
cnf(d409,plain,
( equalish('e$u5',X0)
| ~ product(X0,'e$u4','e$u3')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d401,c43]) ).
cnf(d410,plain,
( equalish(X0,'e$u4')
| ~ product('e$u3',X0,'e$u2')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d96,c42]) ).
cnf(d411,plain,
( equalish('e$u5','e$u4')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d407,d410]) ).
cnf(d412,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4')
| product('e$u3','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c39,d411]) ).
cnf(d413,plain,
( equalish('e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[d412,d409]) ).
cnf(d414,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5')
| product('e$u3','e$u4','e$u4') ),
inference(resolution,[status(thm)],[c38,d413]) ).
cnf(d415,plain,
( equalish('e$u4','e$u1')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[d414,d79]) ).
cnf(d416,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u4','e$u5') ),
inference(resolution,[status(thm)],[c32,d415]) ).
cnf(d417,plain,
( product('e$u1','e$u5','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d416,d150]) ).
cnf(d418,plain,
( equalish('e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d417,d44]) ).
cnf(d419,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c38,d418]) ).
cnf(d420,plain,
( equalish(X0,'e$u3')
| ~ product('e$u1',X0,'e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d419,c42]) ).
cnf(d421,plain,
( equalish('e$u5','e$u2')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d417,d207]) ).
cnf(d422,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u3','e$u2')
| product('e$u1','e$u2','e$u5') ),
inference(resolution,[status(thm)],[c37,d421]) ).
cnf(d423,plain,
( equalish('e$u2','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d422,d420]) ).
cnf(d424,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u3','e$u3','e$u2') ),
inference(resolution,[status(thm)],[c25,d423]) ).
cnf(d425,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d424,d408]) ).
cnf(d426,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[c31,d425]) ).
cnf(d427,plain,
( equalish(X0,'e$u2')
| ~ product('e$u4',X0,'e$u3')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d426,c42]) ).
cnf(d428,plain,
( equalish('e$u2',X0)
| ~ product(X0,'e$u3','e$u4')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d373,c43]) ).
cnf(d429,plain,
( equalish(X0,'e$u4')
| ~ product('e$u5',X0,'e$u3')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d401,c42]) ).
cnf(d430,plain,
( product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u3')
| product('e$u1','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d43,d40]) ).
cnf(d431,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u2','e$u3') ),
inference(resolution,[status(thm)],[d430,d40]) ).
cnf(d432,plain,
( ~ product('e$u4','e$u2',X0)
| product('e$u1',X0,'e$u2')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d249,c45]) ).
cnf(d433,plain,
( product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u1','e$u3','e$u2') ),
inference(resolution,[status(thm)],[d432,d431]) ).
cnf(d434,plain,
( equalish('e$u1',X0)
| ~ product(X0,'e$u3','e$u2')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d433,c43]) ).
cnf(d435,plain,
( equalish('e$u1','e$u5')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d315,d434]) ).
cnf(d436,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c23,d435]) ).
cnf(d437,plain,
( equalish('e$u4','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d436,d0]) ).
cnf(d438,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c34,d437]) ).
cnf(d439,plain,
( ~ product('e$u5','e$u4',X0)
| product('e$u3',X0,'e$u4')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d438,c45]) ).
cnf(d440,plain,
( product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3')
| product('e$u3','e$u3','e$u4')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d401,d439]) ).
cnf(d441,plain,
( equalish('e$u3','e$u1')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[d440,d79]) ).
cnf(d442,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4')
| product('e$u5','e$u3','e$u3') ),
inference(resolution,[status(thm)],[c28,d441]) ).
cnf(d443,plain,
( equalish('e$u3','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[d442,d429]) ).
cnf(d444,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u3','e$u4') ),
inference(resolution,[status(thm)],[c30,d443]) ).
cnf(d445,plain,
( equalish('e$u2','e$u5')
| product('e$u2','e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d444,d428]) ).
cnf(d446,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u2','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c27,d445]) ).
cnf(d447,plain,
( equalish('e$u5',X0)
| ~ product('e$u2','e$u3',X0)
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d446,c41]) ).
cnf(d448,plain,
( product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u5','e$u1') ),
inference(resolution,[status(thm)],[d67,c18]) ).
cnf(d449,plain,
( equalish(X0,'e$u5')
| ~ product('e$u4',X0,'e$u1')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d448,c42]) ).
cnf(d450,plain,
( equalish('e$u3','e$u5')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[d311,d449]) ).
cnf(d451,plain,
( product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2')
| product('e$u4','e$u4','e$u3') ),
inference(resolution,[status(thm)],[c31,d450]) ).
cnf(d452,plain,
( equalish('e$u4','e$u3')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[d451,d0]) ).
cnf(d453,plain,
( product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u4','e$u5','e$u2') ),
inference(resolution,[status(thm)],[c34,d452]) ).
cnf(d454,plain,
( ~ product('e$u5','e$u4',X0)
| product('e$u2',X0,'e$u4')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d453,c45]) ).
cnf(d455,plain,
( product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3')
| product('e$u2','e$u3','e$u4')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d401,d454]) ).
cnf(d456,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u5','e$u5','e$u3')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d455,d447]) ).
cnf(d457,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4')
| product('e$u4','e$u5','e$u3') ),
inference(resolution,[status(thm)],[c39,d456]) ).
cnf(d458,plain,
( equalish('e$u5','e$u2')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4') ),
inference(resolution,[status(thm)],[d457,d427]) ).
cnf(d459,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u4','e$u5','e$u5')
| product('e$u4','e$u5','e$u4') ),
inference(resolution,[status(thm)],[c37,d458]) ).
cnf(d460,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u4','e$u5','e$u5') ),
inference(resolution,[status(thm)],[d459,d1]) ).
cnf(d461,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5')
| product('e$u4','e$u5','e$u5') ),
inference(resolution,[status(thm)],[c39,d460]) ).
cnf(d462,plain,
( equalish('e$u5','e$u4')
| product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[d461,d2]) ).
cnf(d463,plain,
( product('e$u5','e$u5','e$u3')
| product('e$u5','e$u3','e$u5') ),
inference(resolution,[status(thm)],[c39,d462]) ).
cnf(d464,plain,
( equalish('e$u3','e$u5')
| product('e$u5','e$u5','e$u3') ),
inference(resolution,[status(thm)],[d463,d1]) ).
cnf(d465,plain,
product('e$u5','e$u5','e$u3'),
inference(resolution,[status(thm)],[c31,d464]) ).
cnf(d466,plain,
equalish('e$u5','e$u3'),
inference(resolution,[status(thm)],[d465,d0]) ).
cnf(d467,plain,
$false,
inference(resolution,[status(thm)],[c38,d466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP125-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 14:28:40 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.16/16.14 % SZS status Unsatisfiable for theBenchmark.p
% 93.16/16.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------