%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 07:24:14 AM UTC 2026
% Result : Theorem 49.27s 7.25s
% Output : CNFRefutation 49.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 16
% Syntax : Number of formulae : 145 ( 17 unt; 0 def)
% Number of atoms : 787 ( 69 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1196 ( 554 ~; 583 |; 40 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 184 ( 1 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_funct_2,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> ( ( 'v1$upartfun1'(X2,X0,X1)
& 'v1$ufunct$u1'(X2) )
=> ( 'v1$ufunct$u2'(X2,X0,X1)
& 'v1$ufunct$u1'(X2) ) ) ) ).
fof(dt_k4_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ) ).
fof(dt_k6_autgroup,axiom,
! [X0,X1] :
( ( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
& 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm2$ufraenkel'('k6$uautgroup'(X0,X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0)) ) ).
fof(dt_k6_partfun1,axiom,
! [X0] :
( 'm2$urelset$u1'('k6$upartfun1'(X0),X0,X0)
& 'v1$upartfun1'('k6$upartfun1'(X0),X0,X0) ) ).
fof(dt_l1_group_1,axiom,
! [X0] :
( 'l1$ugroup$u1'(X0)
=> 'l1$ustruct$u0'(X0) ) ).
fof(dt_m2_fraenkel,axiom,
! [X0,X1,X2] :
( ( 'm1$ufraenkel'(X2,X0,X1)
& ~ 'v1$uxboole$u0'(X1) )
=> ! [X3] :
( 'm2$ufraenkel'(X3,X0,X1,X2)
=> ( 'm2$urelset$u1'(X3,X0,X1)
& 'v1$ufunct$u2'(X3,X0,X1)
& 'v1$ufunct$u1'(X3) ) ) ) ).
fof(fc1_struct_0,axiom,
! [X0] :
( ( 'l1$ustruct$u0'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0)) ) ).
fof(fc2_funct_1,axiom,
! [X0] :
( 'v1$ufunct$u1'('k6$urelat$u1'(X0))
& 'v1$urelat$u1'('k6$urelat$u1'(X0)) ) ).
fof(redefinition_k6_partfun1,axiom,
! [X0] : 'k6$upartfun1'(X0) = 'k6$urelat$u1'(X0) ).
fof(redefinition_k7_funct_2,axiom,
! [X0,X1,X2,X3,X4] :
( ( 'm1$urelset$u1'(X4,X1,X2)
& 'v1$ufunct$u2'(X4,X1,X2)
& 'v1$ufunct$u1'(X4)
& 'm1$urelset$u1'(X3,X0,X1)
& 'v1$ufunct$u2'(X3,X0,X1)
& 'v1$ufunct$u1'(X3)
& ~ 'v1$uxboole$u0'(X1) )
=> 'k7$ufunct$u2'(X0,X1,X2,X3,X4) = 'k5$urelat$u1'(X3,X4) ) ).
fof(redefinition_k7_relset_1,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( 'm1$urelset$u1'(X5,X2,X3)
& 'm1$urelset$u1'(X4,X0,X1) )
=> 'k7$urelset$u1'(X0,X1,X2,X3,X4,X5) = 'k5$urelat$u1'(X4,X5) ) ).
fof(redefinition_m2_fraenkel,axiom,
! [X0,X1,X2] :
( ( 'm1$ufraenkel'(X2,X0,X1)
& ~ 'v1$uxboole$u0'(X1) )
=> ! [X3] :
( 'm2$ufraenkel'(X3,X0,X1,X2)
<=> 'm1$usubset$u1'(X3,X2) ) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t23_funct_2,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> ( 'k7$urelset$u1'(X0,X1,X1,X1,X2,'k6$upartfun1'(X1)) = X2
& 'k7$urelset$u1'(X0,X0,X0,X1,'k6$upartfun1'(X0),X2) = X2 ) ) ).
fof(t24_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'k6$uautgroup'(X0,'k2$ugroup$u1'(X0)) = 'k6$upartfun1'('u1$ustruct$u0'(X0)) ) ).
fof(t29_autgroup,conjecture,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ( 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k6$uautgroup'(X0,X1),'k6$uautgroup'(X0,'k2$ugroup$u1'(X0))) = 'k6$uautgroup'(X0,X1)
& 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k6$uautgroup'(X0,'k2$ugroup$u1'(X0)),'k6$uautgroup'(X0,X1)) = 'k6$uautgroup'(X0,X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ( 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k6$uautgroup'(X0,X1),'k6$uautgroup'(X0,'k2$ugroup$u1'(X0))) = 'k6$uautgroup'(X0,X1)
& 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k6$uautgroup'(X0,'k2$ugroup$u1'(X0)),'k6$uautgroup'(X0,X1)) = 'k6$uautgroup'(X0,X1) ) ) ),
inference(negate_conjecture,[status(cth)],[t29_autgroup]) ).
cnf(c6,plain,
( 'v1$ufunct$u2'(X0,X1,X2)
| ~ 'v1$upartfun1'(X0,X1,X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cc1_funct_2]) ).
cnf(c38,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ),
inference(clausification,[status(esa)],[dt_k4_autgroup]) ).
cnf(c40,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| 'v3$ustruct$u0'(X0)
| 'm2$ufraenkel'('k6$uautgroup'(X0,X1),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0)) ),
inference(clausification,[status(esa)],[dt_k6_autgroup]) ).
cnf(c41,plain,
'v1$upartfun1'('k6$upartfun1'(X0),X0,X0),
inference(clausification,[status(esa)],[dt_k6_partfun1]) ).
cnf(c42,plain,
'm2$urelset$u1'('k6$upartfun1'(X0),X0,X0),
inference(clausification,[status(esa)],[dt_k6_partfun1]) ).
cnf(c48,plain,
( 'l1$ustruct$u0'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(clausification,[status(esa)],[dt_l1_group_1]) ).
cnf(c51,plain,
( 'v1$ufunct$u1'(X3)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c52,plain,
( 'v1$ufunct$u2'(X3,X2,X0)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c53,plain,
( 'm2$urelset$u1'(X3,X2,X0)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c69,plain,
( ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[fc1_struct_0]) ).
cnf(c72,plain,
'v1$ufunct$u1'('k6$urelat$u1'(X0)),
inference(clausification,[status(esa)],[fc2_funct_1]) ).
cnf(c133,plain,
'k6$upartfun1'(X0) = 'k6$urelat$u1'(X0),
inference(clausification,[status(esa)],[redefinition_k6_partfun1]) ).
cnf(c134,plain,
( ~ 'm1$urelset$u1'(X4,X2,X3)
| ~ 'v1$ufunct$u2'(X4,X2,X3)
| ~ 'v1$ufunct$u1'(X0)
| 'v1$uxboole$u0'(X2)
| ~ 'm1$urelset$u1'(X0,X1,X2)
| ~ 'v1$ufunct$u1'(X4)
| 'k7$ufunct$u2'(X1,X2,X3,X0,X4) = 'k5$urelat$u1'(X0,X4)
| ~ 'v1$ufunct$u2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k7_funct_2]) ).
cnf(c135,plain,
( 'k7$urelset$u1'(X1,X2,X4,X5,X0,X3) = 'k5$urelat$u1'(X0,X3)
| ~ 'm1$urelset$u1'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k7_relset_1]) ).
cnf(c136,plain,
( 'm1$usubset$u1'(X3,X1)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[redefinition_m2_fraenkel]) ).
cnf(c137,plain,
( ~ 'm1$usubset$u1'(X3,X1)
| 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[redefinition_m2_fraenkel]) ).
cnf(c138,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c142,plain,
( 'k7$urelset$u1'(X1,X1,X1,X2,'k6$upartfun1'(X1),X0) = X0
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t23_funct_2]) ).
cnf(c143,plain,
( 'k7$urelset$u1'(X1,X2,X2,X2,X0,'k6$upartfun1'(X2)) = X0
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t23_funct_2]) ).
cnf(c144,plain,
( ~ 'v1$ugroup$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'k6$uautgroup'(X0,'k2$ugroup$u1'(X0)) = 'k6$upartfun1'('u1$ustruct$u0'(X0)) ),
inference(clausification,[status(esa)],[t24_autgroup]) ).
cnf(c153,plain,
~ 'v3$ustruct$u0'(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c154,plain,
'v1$ugroup$u1'(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c155,plain,
'v3$ugroup$u1'(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c156,plain,
'v4$ugroup$u1'(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
'l1$ugroup$u1'(sK156),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c158,plain,
'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c159,plain,
( 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
| 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| 'v1$ufunct$u1'('k6$uautgroup'(X0,X1))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c40,c51]) ).
cnf(d1,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| 'v1$ufunct$u1'('k6$uautgroup'(X0,X1))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d0,c38]) ).
cnf(d2,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[d1,c158]) ).
cnf(d3,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d2]) ).
cnf(d4,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d3]) ).
cnf(d5,plain,
( ~ 'v4$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d4]) ).
cnf(d6,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d5]) ).
cnf(d7,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157)) ),
inference(resolution,[status(thm)],[c157,d6]) ).
cnf(d8,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
| 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| 'm1$usubset$u1'('k6$uautgroup'(X0,X1),'k4$uautgroup'(X0))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c40,c136]) ).
cnf(d9,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| 'm1$usubset$u1'('k6$uautgroup'(X0,X1),'k4$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d8,c38]) ).
cnf(d10,plain,
( ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0)
| ~ 'm1$usubset$u1'(X3,X1)
| 'm2$urelset$u1'(X3,X2,X0)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c53,c137]) ).
cnf(d11,plain,
( ~ 'v4$ugroup$u1'(X1)
| ~ 'v3$ugroup$u1'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v1$ugroup$u1'(X1)
| ~ 'l1$ugroup$u1'(X1)
| 'm2$urelset$u1'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1))
| 'v1$uxboole$u0'('u1$ustruct$u0'(X1))
| ~ 'm1$usubset$u1'(X0,'k4$uautgroup'(X1)) ),
inference(resolution,[status(thm)],[d10,c38]) ).
cnf(d12,plain,
( 'm1$urelset$u1'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| ~ 'm1$usubset$u1'(X1,'k4$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d11,c138]) ).
cnf(d13,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k6$uautgroup'(X0,'k2$ugroup$u1'(X0)) = 'k6$urelat$u1'('u1$ustruct$u0'(X0)) ),
inference(demodulation,[status(thm)],[c144,c133]) ).
cnf(d14,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[d13,c159]) ).
cnf(d15,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c153,d14]) ).
cnf(d16,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c154,d15]) ).
cnf(d17,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c155,d16]) ).
cnf(d18,plain,
( ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c156,d17]) ).
cnf(d19,plain,
( 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,'k2$ugroup$u1'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c157,d18]) ).
cnf(d20,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[d13,d19]) ).
cnf(d21,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c153,d20]) ).
cnf(d22,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c154,d21]) ).
cnf(d23,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c155,d22]) ).
cnf(d24,plain,
( ~ 'l1$ugroup$u1'(sK156)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c156,d23]) ).
cnf(d25,plain,
( 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c157,d24]) ).
cnf(d26,plain,
( ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'v1$ufunct$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[c134,d25]) ).
cnf(d27,plain,
( ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c72,d26]) ).
cnf(d28,plain,
'm2$urelset$u1'('k6$urelat$u1'(X0),X0,X0),
inference(demodulation,[status(thm)],[c42,c133]) ).
cnf(d29,plain,
'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0),
inference(resolution,[status(thm)],[c138,d28]) ).
cnf(d30,plain,
( ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[d29,d27]) ).
cnf(d31,plain,
( 'v1$ufunct$u2'('k6$upartfun1'(X0),X0,X0)
| ~ 'm1$urelset$u1'('k6$upartfun1'(X0),X0,X0)
| ~ 'v1$ufunct$u1'('k6$upartfun1'(X0)) ),
inference(resolution,[status(thm)],[c6,c41]) ).
cnf(d32,plain,
( 'v1$ufunct$u2'('k6$upartfun1'(X0),X0,X0)
| ~ 'm1$urelset$u1'('k6$upartfun1'(X0),X0,X0)
| ~ 'v1$ufunct$u1'('k6$urelat$u1'(X0)) ),
inference(demodulation,[status(thm)],[d31,c133]) ).
cnf(d33,plain,
( 'v1$ufunct$u2'('k6$upartfun1'(X0),X0,X0)
| ~ 'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0)
| ~ 'v1$ufunct$u1'('k6$urelat$u1'(X0)) ),
inference(demodulation,[status(thm)],[d32,c133]) ).
cnf(d34,plain,
( 'v1$ufunct$u2'('k6$urelat$u1'(X0),X0,X0)
| ~ 'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0)
| ~ 'v1$ufunct$u1'('k6$urelat$u1'(X0)) ),
inference(demodulation,[status(thm)],[d33,c133]) ).
cnf(d35,plain,
( 'v1$ufunct$u2'('k6$urelat$u1'(X0),X0,X0)
| ~ 'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0) ),
inference(resolution,[status(thm)],[c72,d34]) ).
cnf(d36,plain,
'v1$ufunct$u2'('k6$urelat$u1'(X0),X0,X0),
inference(resolution,[status(thm)],[d29,d35]) ).
cnf(d37,plain,
( ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156),'k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[d36,d30]) ).
cnf(d38,plain,
( ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[c134,d37]) ).
cnf(d39,plain,
( ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[c72,d38]) ).
cnf(d40,plain,
( ~ 'v1$ufunct$u2'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[d29,d39]) ).
cnf(d41,plain,
( ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k5$urelat$u1'('k6$urelat$u1'('u1$ustruct$u0'(sK156)),'k6$uautgroup'(sK156,sK157)) != 'k6$uautgroup'(sK156,sK157)
| 'k5$urelat$u1'('k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157) ),
inference(resolution,[status(thm)],[d36,d40]) ).
cnf(d42,plain,
( ~ 'm2$urelset$u1'(X2,X0,X1)
| 'k7$urelset$u1'(X0,X0,X0,X1,'k6$urelat$u1'(X0),X2) = X2 ),
inference(demodulation,[status(thm)],[c142,c133]) ).
cnf(d43,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| ~ 'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0)
| ~ 'm2$urelset$u1'(X2,X0,X1)
| 'k5$urelat$u1'('k6$urelat$u1'(X0),X2) = X2 ),
inference(superposition,[status(thm)],[c135,d42]) ).
cnf(d44,plain,
( ~ 'm2$urelset$u1'(X1,X0,X2)
| ~ 'm1$urelset$u1'(X1,X0,X2)
| 'k5$urelat$u1'('k6$urelat$u1'(X0),X1) = X1 ),
inference(resolution,[status(thm)],[d29,d43]) ).
cnf(d45,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X0)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X0)
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k5$urelat$u1'('k6$uautgroup'(sK156,sK157),'k6$urelat$u1'('u1$ustruct$u0'(sK156))) != 'k6$uautgroup'(sK156,sK157)
| 'k6$uautgroup'(sK156,sK157) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
( ~ 'm2$urelset$u1'(X2,X1,X0)
| 'k7$urelset$u1'(X1,X0,X0,X0,X2,'k6$urelat$u1'(X0)) = X2 ),
inference(demodulation,[status(thm)],[c143,c133]) ).
cnf(d47,plain,
( ~ 'm1$urelset$u1'('k6$urelat$u1'(X1),X1,X1)
| ~ 'm1$urelset$u1'(X2,X0,X1)
| ~ 'm2$urelset$u1'(X2,X0,X1)
| 'k5$urelat$u1'(X2,'k6$urelat$u1'(X1)) = X2 ),
inference(superposition,[status(thm)],[c135,d46]) ).
cnf(d48,plain,
( ~ 'm2$urelset$u1'(X0,X2,X1)
| ~ 'm1$urelset$u1'(X0,X2,X1)
| 'k5$urelat$u1'(X0,'k6$urelat$u1'(X1)) = X0 ),
inference(resolution,[status(thm)],[d29,d47]) ).
cnf(d49,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X1,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X1,'u1$ustruct$u0'(sK156))
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X0)
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X0)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| 'k6$uautgroup'(sK156,sK157) != 'k6$uautgroup'(sK156,sK157)
| 'k6$uautgroup'(sK156,sK157) != 'k6$uautgroup'(sK156,sK157) ),
inference(superposition,[status(thm)],[d48,d45]) ).
cnf(d50,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u2'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157)) ),
inference(equality_resolution,[status(thm)],[d49]) ).
cnf(d51,plain,
( ~ 'm1$ufraenkel'(X3,X2,X0)
| 'v1$uxboole$u0'(X0)
| ~ 'm1$usubset$u1'(X1,X3)
| ~ 'm1$ufraenkel'(X3,X2,X0)
| 'v1$ufunct$u2'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c52,c137]) ).
cnf(d52,plain,
( ~ 'v4$ugroup$u1'(X1)
| ~ 'v3$ugroup$u1'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v1$ugroup$u1'(X1)
| ~ 'l1$ugroup$u1'(X1)
| 'v1$ufunct$u2'(X0,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1))
| 'v1$uxboole$u0'('u1$ustruct$u0'(X1))
| ~ 'm1$usubset$u1'(X0,'k4$uautgroup'(X1)) ),
inference(resolution,[status(thm)],[d51,c38]) ).
cnf(d53,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[d52,d50]) ).
cnf(d54,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d53]) ).
cnf(d55,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d54]) ).
cnf(d56,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d55]) ).
cnf(d57,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d56]) ).
cnf(d58,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d57]) ).
cnf(d59,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[d12,d58]) ).
cnf(d60,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d59]) ).
cnf(d61,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d60]) ).
cnf(d62,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d61]) ).
cnf(d63,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d62]) ).
cnf(d64,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),X1)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d63]) ).
cnf(d65,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[d64,d11]) ).
cnf(d66,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d65]) ).
cnf(d67,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d66]) ).
cnf(d68,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d67]) ).
cnf(d69,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d68]) ).
cnf(d70,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d69]) ).
cnf(d71,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[d70,d12]) ).
cnf(d72,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d71]) ).
cnf(d73,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d72]) ).
cnf(d74,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'v4$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d73]) ).
cnf(d75,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d74]) ).
cnf(d76,plain,
( ~ 'm2$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),X0,'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d75]) ).
cnf(d77,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[d76,d11]) ).
cnf(d78,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d77]) ).
cnf(d79,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d78]) ).
cnf(d80,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d79]) ).
cnf(d81,plain,
( ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d80]) ).
cnf(d82,plain,
( ~ 'm1$urelset$u1'('k6$uautgroup'(sK156,sK157),'u1$ustruct$u0'(sK156),'u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d81]) ).
cnf(d83,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[d82,d12]) ).
cnf(d84,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d83]) ).
cnf(d85,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d84]) ).
cnf(d86,plain,
( ~ 'v4$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d85]) ).
cnf(d87,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d86]) ).
cnf(d88,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'('k6$uautgroup'(sK156,sK157),'k4$uautgroup'(sK156)) ),
inference(resolution,[status(thm)],[c157,d87]) ).
cnf(d89,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v3$ustruct$u0'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157)) ),
inference(resolution,[status(thm)],[d88,d9]) ).
cnf(d90,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156))
| ~ 'v1$ugroup$u1'(sK156)
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c153,d89]) ).
cnf(d91,plain,
( ~ 'v4$ugroup$u1'(sK156)
| ~ 'v3$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c154,d90]) ).
cnf(d92,plain,
( ~ 'v4$ugroup$u1'(sK156)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c155,d91]) ).
cnf(d93,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156))
| ~ 'l1$ugroup$u1'(sK156) ),
inference(resolution,[status(thm)],[c156,d92]) ).
cnf(d94,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157))
| ~ 'm1$usubset$u1'(sK157,'u1$ustruct$u0'(sK156)) ),
inference(resolution,[status(thm)],[c157,d93]) ).
cnf(d95,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| ~ 'v1$ufunct$u1'('k6$uautgroup'(sK156,sK157)) ),
inference(resolution,[status(thm)],[c158,d94]) ).
cnf(d96,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK156))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK156)) ),
inference(resolution,[status(thm)],[d95,d7]) ).
cnf(d97,plain,
( ~ 'l1$ustruct$u0'(sK156)
| 'v3$ustruct$u0'(sK156) ),
inference(resolution,[status(thm)],[d96,c69]) ).
cnf(d98,plain,
~ 'l1$ustruct$u0'(sK156),
inference(resolution,[status(thm)],[c153,d97]) ).
cnf(d99,plain,
'l1$ustruct$u0'(sK156),
inference(resolution,[status(thm)],[c48,c157]) ).
cnf(d100,plain,
$false,
inference(resolution,[status(thm)],[d99,d98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP631+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n002.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 25 15:13:19 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.27/7.25 % SZS status Theorem for theBenchmark.p
% 49.27/7.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------