%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP624+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:24:12 AM UTC 2026
% Result : Theorem 120.44s 18.28s
% Output : CNFRefutation 120.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 158 ( 20 unt; 0 def)
% Number of atoms : 720 ( 49 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 944 ( 382 ~; 486 |; 50 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-6 aty)
% Number of variables : 132 ( 2 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'm2$urelset$u1'(X1,'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
& 'v1$ufunct$u2'(X1,'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
& 'v1$ufunct$u1'(X1) )
=> ( X1 = 'k2$uautgroup'(X0)
<=> ! [X2] :
( 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
=> ! [X3] :
( 'm2$ufraenkel'(X3,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
=> 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),X1,X2,X3) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X3,X2) ) ) ) ) ) ).
fof(dt_k1_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ) ).
fof(dt_k2_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
& 'v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
& 'v1$ufunct$u1'('k2$uautgroup'(X0)) ) ) ).
fof(dt_k4_autgroup,axiom,
! [X0] :
( ( 'l1$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$u0'(X0)) ) ).
fof(dt_l1_group_1,axiom,
! [X0] :
( 'l1$ugroup$u1'(X0)
=> 'l1$ustruct$u0'(X0) ) ).
fof(dt_m1_fraenkel,axiom,
! [X0,X1,X2] :
( 'm1$ufraenkel'(X2,X0,X1)
=> ( 'v1$ufraenkel'(X2)
& ~ 'v1$uxboole$u0'(X2) ) ) ).
fof(dt_m2_fraenkel,axiom,
! [X0,X1,X2] :
( ( 'm1$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$u0'(X0)) ) ).
fof(redefinition_k2_binop_1,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( 'm1$usubset$u1'(X5,X1)
& 'm1$usubset$u1'(X4,X0)
& 'm1$urelset$u1'(X3,'k2$uzfmisc$u1'(X0,X1),X2)
& 'v1$ufunct$u2'(X3,'k2$uzfmisc$u1'(X0,X1),X2)
& 'v1$ufunct$u1'(X3)
& ~ 'v1$uxboole$u0'(X1)
& ~ 'v1$uxboole$u0'(X0) )
=> 'k2$ubinop$u1'(X0,X1,X2,X3,X4,X5) = 'k1$ubinop$u1'(X3,X4,X5) ) ).
fof(redefinition_k7_funct_2,axiom,
! [X0,X1,X2,X3,X4] :
( ( 'm1$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$u1'(X3,X4) ) ).
fof(redefinition_m2_fraenkel,axiom,
! [X0,X1,X2] :
( ( 'm1$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$u1'(X2,X0,X1) ) ).
fof(t13_autgroup,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
=> 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) ) ) ).
fof(t15_autgroup,conjecture,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& 'v1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
=> ! [X2] :
( 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
=> 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,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] :
( 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
=> ! [X2] :
( 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
=> 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,X1) ) ) ),
inference(negate_conjecture,[status(cth)],[t15_autgroup]) ).
cnf(c22,plain,
( ~ 'l1$ugroup$u1'(X1)
| ~ 'm2$ufraenkel'(X3,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'k1$uautgroup'(X1))
| 'k2$ubinop$u1'('k1$uautgroup'(X1),'k1$uautgroup'(X1),'k1$uautgroup'(X1),X0,X2,X3) = 'k7$ufunct$u2'('u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),X3,X2)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X1),'u1$ustruct$u0'(X1),'k1$uautgroup'(X1))
| X0 != 'k2$uautgroup'(X1)
| ~ 'v1$ufunct$u2'(X0,'k2$uzfmisc$u1'('k1$uautgroup'(X1),'k1$uautgroup'(X1)),'k1$uautgroup'(X1))
| 'v3$ustruct$u0'(X1)
| ~ 'v4$ugroup$u1'(X1)
| ~ 'v1$ugroup$u1'(X1)
| ~ 'v3$ugroup$u1'(X1)
| ~ 'm2$urelset$u1'(X0,'k2$uzfmisc$u1'('k1$uautgroup'(X1),'k1$uautgroup'(X1)),'k1$uautgroup'(X1)) ),
inference(clausification,[status(esa)],[d2_autgroup]) ).
cnf(c29,plain,
( ~ 'l1$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v4$ugroup$u1'(X0)
| 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ),
inference(clausification,[status(esa)],[dt_k1_autgroup]) ).
cnf(c30,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'v1$ufunct$u1'('k2$uautgroup'(X0))
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k2_autgroup]) ).
cnf(c31,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k2_autgroup]) ).
cnf(c32,plain,
( ~ 'v4$ugroup$u1'(X0)
| 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k2_autgroup]) ).
cnf(c34,plain,
( ~ 'v1$ugroup$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
| ~ 'v3$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k4_autgroup]) ).
cnf(c39,plain,
( 'l1$ustruct$u0'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(clausification,[status(esa)],[dt_l1_group_1]) ).
cnf(c40,plain,
( ~ 'v1$uxboole$u0'(X0)
| ~ 'm1$ufraenkel'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_m1_fraenkel]) ).
cnf(c42,plain,
( 'v1$ufunct$u1'(X3)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c43,plain,
( 'v1$ufunct$u2'(X3,X2,X0)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c44,plain,
( 'm2$urelset$u1'(X3,X2,X0)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_fraenkel]) ).
cnf(c60,plain,
( ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[fc1_struct_0]) ).
cnf(c102,plain,
( ~ 'v1$ufunct$u1'(X2)
| 'k2$ubinop$u1'(X0,X1,X3,X2,X4,X5) = 'k1$ubinop$u1'(X2,X4,X5)
| ~ 'v1$ufunct$u2'(X2,'k2$uzfmisc$u1'(X0,X1),X3)
| ~ 'm1$usubset$u1'(X5,X1)
| ~ 'm1$usubset$u1'(X4,X0)
| ~ 'm1$urelset$u1'(X2,'k2$uzfmisc$u1'(X0,X1),X3)
| 'v1$uxboole$u0'(X1)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[redefinition_k2_binop_1]) ).
cnf(c103,plain,
( 'v1$uxboole$u0'(X1)
| 'k7$ufunct$u2'(X4,X1,X2,X3,X0) = 'k5$urelat$u1'(X3,X0)
| ~ 'v1$ufunct$u2'(X3,X4,X1)
| ~ 'v1$ufunct$u1'(X0)
| ~ 'm1$urelset$u1'(X3,X4,X1)
| ~ 'm1$urelset$u1'(X0,X1,X2)
| ~ 'v1$ufunct$u1'(X3)
| ~ 'v1$ufunct$u2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k7_funct_2]) ).
cnf(c104,plain,
( 'm1$usubset$u1'(X3,X1)
| ~ 'm2$ufraenkel'(X3,X2,X0,X1)
| ~ 'm1$ufraenkel'(X1,X2,X0)
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[redefinition_m2_fraenkel]) ).
cnf(c106,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c109,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X0)
| 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[t13_autgroup]) ).
cnf(c119,plain,
~ 'v3$ustruct$u0'(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
'v1$ugroup$u1'(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c121,plain,
'v3$ugroup$u1'(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c122,plain,
'v4$ugroup$u1'(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c123,plain,
'l1$ugroup$u1'(sK147),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c124,plain,
'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k4$uautgroup'(sK147)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c125,plain,
'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k4$uautgroup'(sK147)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c126,plain,
'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) != 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c125,c43]) ).
cnf(d1,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d0,c34]) ).
cnf(d2,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d1]) ).
cnf(d3,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d2]) ).
cnf(d4,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d3]) ).
cnf(d5,plain,
( 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d4]) ).
cnf(d6,plain,
( 'v1$ufunct$u2'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c123,d5]) ).
cnf(d7,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c124,c43]) ).
cnf(d8,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d7,c34]) ).
cnf(d9,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d8]) ).
cnf(d10,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d9]) ).
cnf(d11,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d10]) ).
cnf(d12,plain,
( 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d11]) ).
cnf(d13,plain,
( 'v1$ufunct$u2'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c123,d12]) ).
cnf(d14,plain,
( ~ 'v1$ufunct$u2'(X1,X0,'u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(X1,X0,'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ufunct$u1'(sK148)
| ~ 'v1$ufunct$u1'(X1)
| 'k7$ufunct$u2'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X1,sK148) = 'k5$urelat$u1'(X1,sK148)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d13,c103]) ).
cnf(d15,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148) ),
inference(resolution,[status(thm)],[c124,c42]) ).
cnf(d16,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148) ),
inference(resolution,[status(thm)],[d15,c34]) ).
cnf(d17,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d16]) ).
cnf(d18,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d17]) ).
cnf(d19,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d18]) ).
cnf(d20,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d19]) ).
cnf(d21,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK148) ),
inference(resolution,[status(thm)],[c123,d20]) ).
cnf(d22,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v3$ustruct$u0'(sK147)
| 'v1$ufunct$u1'(sK148) ),
inference(resolution,[status(thm)],[d21,c60]) ).
cnf(d23,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v1$ufunct$u1'(sK148) ),
inference(resolution,[status(thm)],[c119,d22]) ).
cnf(d24,plain,
'l1$ustruct$u0'(sK147),
inference(resolution,[status(thm)],[c39,c123]) ).
cnf(d25,plain,
'v1$ufunct$u1'(sK148),
inference(resolution,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
( ~ 'v1$ufunct$u2'(X1,X0,'u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(X1,X0,'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ufunct$u1'(X1)
| 'k7$ufunct$u2'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X1,sK148) = 'k5$urelat$u1'(X1,sK148) ),
inference(resolution,[status(thm)],[d25,d14]) ).
cnf(d27,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c124,c44]) ).
cnf(d28,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d27,c34]) ).
cnf(d29,plain,
( 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d28]) ).
cnf(d30,plain,
( 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d29]) ).
cnf(d31,plain,
( 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d30]) ).
cnf(d32,plain,
( 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d31]) ).
cnf(d33,plain,
( 'm2$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c123,d32]) ).
cnf(d34,plain,
( 'm1$urelset$u1'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d33,c106]) ).
cnf(d35,plain,
( ~ 'v1$ufunct$u2'(X1,X0,'u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(X1,X0,'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ufunct$u1'(X1)
| 'k7$ufunct$u2'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X1,sK148) = 'k5$urelat$u1'(X1,sK148)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d34,d26]) ).
cnf(d36,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ufunct$u1'(sK149)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148) ),
inference(resolution,[status(thm)],[d35,d6]) ).
cnf(d37,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149) ),
inference(resolution,[status(thm)],[c125,c42]) ).
cnf(d38,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149) ),
inference(resolution,[status(thm)],[d37,c34]) ).
cnf(d39,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d38]) ).
cnf(d40,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d39]) ).
cnf(d41,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d40]) ).
cnf(d42,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d41]) ).
cnf(d43,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$ufunct$u1'(sK149) ),
inference(resolution,[status(thm)],[c123,d42]) ).
cnf(d44,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v3$ustruct$u0'(sK147)
| 'v1$ufunct$u1'(sK149) ),
inference(resolution,[status(thm)],[d43,c60]) ).
cnf(d45,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v1$ufunct$u1'(sK149) ),
inference(resolution,[status(thm)],[c119,d44]) ).
cnf(d46,plain,
'v1$ufunct$u1'(sK149),
inference(resolution,[status(thm)],[d24,d45]) ).
cnf(d47,plain,
( ~ 'm1$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148) ),
inference(resolution,[status(thm)],[d46,d36]) ).
cnf(d48,plain,
( ~ 'm1$ufraenkel'('k4$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c125,c44]) ).
cnf(d49,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d48,c34]) ).
cnf(d50,plain,
( 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d49]) ).
cnf(d51,plain,
( 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d50]) ).
cnf(d52,plain,
( 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d51]) ).
cnf(d53,plain,
( 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d52]) ).
cnf(d54,plain,
( 'm2$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[c123,d53]) ).
cnf(d55,plain,
( 'm1$urelset$u1'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d54,c106]) ).
cnf(d56,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147)) ),
inference(resolution,[status(thm)],[d55,d47]) ).
cnf(d57,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v3$ustruct$u0'(sK147)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148) ),
inference(resolution,[status(thm)],[d56,c60]) ).
cnf(d58,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148) ),
inference(resolution,[status(thm)],[c119,d57]) ).
cnf(d59,plain,
'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148) = 'k5$urelat$u1'(sK149,sK148),
inference(resolution,[status(thm)],[d24,d58]) ).
cnf(d60,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c109,c125]) ).
cnf(d61,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d60]) ).
cnf(d62,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d61]) ).
cnf(d63,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d62]) ).
cnf(d64,plain,
( 'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d63]) ).
cnf(d65,plain,
'm2$ufraenkel'(sK149,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147)),
inference(resolution,[status(thm)],[c123,d64]) ).
cnf(d66,plain,
( ~ 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v1$ufunct$u1'('k2$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,X1) ),
inference(equality_resolution,[status(thm)],[c22]) ).
cnf(d67,plain,
( ~ 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ufunct$u2'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,X1)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c30,d66]) ).
cnf(d68,plain,
( ~ 'm2$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'v4$ugroup$u1'(X0)
| ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,X1)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c31,d67]) ).
cnf(d69,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'm2$ufraenkel'(X2,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k7$ufunct$u2'('u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),X2,X1)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c32,d68]) ).
cnf(d70,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c109,c124]) ).
cnf(d71,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d70]) ).
cnf(d72,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d71]) ).
cnf(d73,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d72]) ).
cnf(d74,plain,
( 'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d73]) ).
cnf(d75,plain,
'm2$ufraenkel'(sK148,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147)),
inference(resolution,[status(thm)],[c123,d74]) ).
cnf(d76,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[d75,d69]) ).
cnf(d77,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[c119,d76]) ).
cnf(d78,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'v3$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[c120,d77]) ).
cnf(d79,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[c121,d78]) ).
cnf(d80,plain,
( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[c122,d79]) ).
cnf(d81,plain,
( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'k1$uautgroup'(sK147))
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),X0,sK148) ),
inference(resolution,[status(thm)],[c123,d80]) ).
cnf(d82,plain,
'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,sK149) = 'k7$ufunct$u2'('u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147),sK149,sK148),
inference(resolution,[status(thm)],[d81,d65]) ).
cnf(d83,plain,
'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,sK149) = 'k5$urelat$u1'(sK149,sK148),
inference(demodulation,[status(thm)],[d82,d59]) ).
cnf(d84,plain,
( ~ 'm1$ufraenkel'('k1$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[d65,c104]) ).
cnf(d85,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[d84,c29]) ).
cnf(d86,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d85]) ).
cnf(d87,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d86]) ).
cnf(d88,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d87]) ).
cnf(d89,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d88]) ).
cnf(d90,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK149,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[c123,d89]) ).
cnf(d91,plain,
( ~ 'm1$ufraenkel'('k1$uautgroup'(sK147),'u1$ustruct$u0'(sK147),'u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[d75,c104]) ).
cnf(d92,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[d91,c29]) ).
cnf(d93,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c119,d92]) ).
cnf(d94,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c120,d93]) ).
cnf(d95,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c121,d94]) ).
cnf(d96,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147) ),
inference(resolution,[status(thm)],[c122,d95]) ).
cnf(d97,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'm1$usubset$u1'(sK148,'k1$uautgroup'(sK147)) ),
inference(resolution,[status(thm)],[c123,d96]) ).
cnf(d98,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'm1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| 'v1$uxboole$u0'('k1$uautgroup'(X0))
| 'v1$uxboole$u0'('k1$uautgroup'(X0))
| ~ 'v1$ufunct$u1'('k2$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X1,'k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X2,'k1$uautgroup'(X0))
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2) ),
inference(resolution,[status(thm)],[c102,c31]) ).
cnf(d99,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| 'v1$uxboole$u0'('k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X1,'k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X2,'k1$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c30,d98]) ).
cnf(d100,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v1$uxboole$u0'('k1$uautgroup'(X0)) ),
inference(resolution,[status(thm)],[c40,c29]) ).
cnf(d101,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X1,'k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X2,'k1$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d100,d99]) ).
cnf(d102,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'm1$urelset$u1'('k2$uautgroup'(X0),'k2$uzfmisc$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0)),'k1$uautgroup'(X0)) ),
inference(resolution,[status(thm)],[c106,c32]) ).
cnf(d103,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'k1$uautgroup'(X0))
| ~ 'm1$usubset$u1'(X2,'k1$uautgroup'(X0))
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0)
| 'k2$ubinop$u1'('k1$uautgroup'(X0),'k1$uautgroup'(X0),'k1$uautgroup'(X0),'k2$uautgroup'(X0),X1,X2) = 'k1$ubinop$u1'('k2$uautgroup'(X0),X1,X2)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v3$ugroup$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$ugroup$u1'(X0)
| ~ 'l1$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d102,d101]) ).
cnf(d104,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v3$ustruct$u0'(sK147)
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[d103,d97]) ).
cnf(d105,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| ~ 'v1$ugroup$u1'(sK147)
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[c119,d104]) ).
cnf(d106,plain,
( ~ 'v4$ugroup$u1'(sK147)
| ~ 'v3$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[c120,d105]) ).
cnf(d107,plain,
( ~ 'v4$ugroup$u1'(sK147)
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[c121,d106]) ).
cnf(d108,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| ~ 'l1$ugroup$u1'(sK147)
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[c122,d107]) ).
cnf(d109,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| ~ 'm1$usubset$u1'(X0,'k1$uautgroup'(sK147))
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,X0) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,X0) ),
inference(resolution,[status(thm)],[c123,d108]) ).
cnf(d110,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'k2$ubinop$u1'('k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k1$uautgroup'(sK147),'k2$uautgroup'(sK147),sK148,sK149) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) ),
inference(resolution,[status(thm)],[d109,d90]) ).
cnf(d111,plain,
( 'v1$uxboole$u0'('u1$ustruct$u0'(sK147))
| 'k5$urelat$u1'(sK149,sK148) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) ),
inference(demodulation,[status(thm)],[d110,d83]) ).
cnf(d112,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'v3$ustruct$u0'(sK147)
| 'k5$urelat$u1'(sK149,sK148) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) ),
inference(resolution,[status(thm)],[d111,c60]) ).
cnf(d113,plain,
( ~ 'l1$ustruct$u0'(sK147)
| 'k5$urelat$u1'(sK149,sK148) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) ),
inference(resolution,[status(thm)],[c119,d112]) ).
cnf(d114,plain,
'k5$urelat$u1'(sK149,sK148) = 'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149),
inference(resolution,[status(thm)],[d24,d113]) ).
cnf(d115,plain,
'k1$ubinop$u1'('k2$uautgroup'(sK147),sK148,sK149) != 'k5$urelat$u1'(sK149,sK148),
inference(demodulation,[status(thm)],[c126,d59]) ).
cnf(d116,plain,
'k5$urelat$u1'(sK149,sK148) != 'k5$urelat$u1'(sK149,sK148),
inference(demodulation,[status(thm)],[d115,d114]) ).
cnf(d117,plain,
$false,
inference(equality_resolution,[status(thm)],[d116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP624+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
% 0.18/0.44 % Computer : n001.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 15:11:55 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.44/18.28 % SZS status Theorem for theBenchmark.p
% 120.44/18.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------