%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP631+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Tue Sep 29 10:15:08 AM UTC 2026
% Result : Theorem 14.73s 4.61s
% Output : Refutation 23.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 130 ( 28 unt; 2 def)
% Number of atoms : 509 ( 149 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 628 ( 249 ~; 268 |; 87 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-5 aty)
% Number of variables : 114 ( 0 sgn 98 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18256,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f18878,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_group_1) ).
fof(f18896,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X1,X2) = X1
| k1_group_1(X0,X2,X1) = X1 )
=> X2 = k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_group_1) ).
fof(f18989,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f18993,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f33406,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_autgroup) ).
fof(f33419,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f33422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_autgroup) ).
fof(f33423,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f33428,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f33429,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f33428]) ).
fof(f33554,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33406]) ).
fof(f33555,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33554]) ).
fof(f33578,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33419]) ).
fof(f33579,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33578]) ).
fof(f33584,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33422]) ).
fof(f33585,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33584]) ).
fof(f33586,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33423]) ).
fof(f33587,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33586]) ).
fof(f33596,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f33429]) ).
fof(f33597,plain,
? [X0] :
( ? [X1] :
( ( k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1))
| k6_autgroup(X0,X1) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f33596]) ).
fof(f34051,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18878]) ).
fof(f34052,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f34051]) ).
fof(f34071,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18993]) ).
fof(f34072,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f34071]) ).
fof(f34073,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18896]) ).
fof(f34074,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k2_group_1(X0)
| ( k1_group_1(X0,X1,X2) != X1
& k1_group_1(X0,X2,X1) != X1 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f34073]) ).
fof(f36679,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18989]) ).
fof(f37987,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18256]) ).
fof(f39584,plain,
( ( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,sK46))
| k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) )
& m1_subset_1(sK46,u1_struct_0(sK45))
& ~ v3_struct_0(sK45)
& v1_group_1(sK45)
& v3_group_1(sK45)
& v4_group_1(sK45)
& l1_group_1(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f33597]) ).
fof(f39734,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f34052]) ).
fof(f39735,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,X4) = X5
& k1_group_1(X0,X4,X5) = X5
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k1_group_1(X0,X5,X6) = X4
& k1_group_1(X0,X6,X5) = X4 ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f39734]) ).
fof(f39736,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( sK168(X0,X1) != k1_group_1(X0,sK168(X0,X1),X1)
| sK168(X0,X1) != k1_group_1(X0,X1,sK168(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,sK168(X0,X1),X3) != X1
| k1_group_1(X0,X3,sK168(X0,X1)) != X1 ) )
& m1_subset_1(sK168(X0,X1),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK169(X0),u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,sK169(X0)) = X5
& k1_group_1(X0,sK169(X0),X5) = X5
& m1_subset_1(sK170(X0,X5),u1_struct_0(X0))
& sK169(X0) = k1_group_1(X0,X5,sK170(X0,X5))
& sK169(X0) = k1_group_1(X0,sK170(X0,X5),X5) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168,sK169,sK170]),skolemize(X2,sK168(X0,X1)),skolemize(X4,sK169(X0)),skolemize(X6,sK170(X0,X5))],[f39735]) ).
fof(f41351,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33555]) ).
fof(f41372,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33579]) ).
fof(f41377,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33585]) ).
fof(f41378,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k6_autgroup(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33587]) ).
fof(f41383,plain,
l1_group_1(sK45),
inference(cnf_transformation,[],[f39584]) ).
fof(f41384,plain,
v4_group_1(sK45),
inference(cnf_transformation,[],[f39584]) ).
fof(f41385,plain,
v3_group_1(sK45),
inference(cnf_transformation,[],[f39584]) ).
fof(f41386,plain,
v1_group_1(sK45),
inference(cnf_transformation,[],[f39584]) ).
fof(f41387,plain,
~ v3_struct_0(sK45),
inference(cnf_transformation,[],[f39584]) ).
fof(f41388,plain,
m1_subset_1(sK46,u1_struct_0(sK45)),
inference(cnf_transformation,[],[f39584]) ).
fof(f41389,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,sK46))
| k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) ),
inference(cnf_transformation,[],[f39584]) ).
fof(f42091,plain,
! [X0,X5] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,sK169(X0),X5) = X5
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f39736]) ).
fof(f42092,plain,
! [X0,X5] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_group_1(X0,X5,sK169(X0)) = X5
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f39736]) ).
fof(f42093,plain,
! [X0] :
( m1_subset_1(sK169(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f39736]) ).
fof(f42122,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f34072]) ).
fof(f42123,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X2,X1) != X1
| k2_group_1(X0) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f34074]) ).
fof(f45491,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36679]) ).
fof(f47294,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f37987]) ).
fof(f52134,definition,
( spl1179_46
<=> k6_autgroup(sK45,sK46) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) ),
introduced(definition,[new_symbols(definition,[spl1179_46])],[avatar_definition]) ).
fof(f52135,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45)))
| spl1179_46 ),
inference(avatar_component_clause,[],[f52134]) ).
fof(f52137,definition,
( spl1179_47
<=> k6_autgroup(sK45,sK46) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl1179_47])],[avatar_definition]) ).
fof(f52138,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,sK46))
| spl1179_47 ),
inference(avatar_component_clause,[],[f52137]) ).
fof(f52139,plain,
( ~ spl1179_46
| ~ spl1179_47 ),
inference(avatar_split_clause,[],[f41389,f52137,f52134]) ).
fof(f52302,plain,
( v3_struct_0(sK45)
| ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_autgroup(sK45,k2_group_1(sK45)) = k6_partfun1(u1_struct_0(sK45))
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f41378,f41384]) ).
fof(f52303,plain,
( ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_autgroup(sK45,k2_group_1(sK45)) = k6_partfun1(u1_struct_0(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52302,f41387]) ).
fof(f52304,plain,
( ~ v3_group_1(sK45)
| k6_autgroup(sK45,k2_group_1(sK45)) = k6_partfun1(u1_struct_0(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52303,f41386]) ).
fof(f52305,plain,
( k6_autgroup(sK45,k2_group_1(sK45)) = k6_partfun1(u1_struct_0(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52304,f41385]) ).
fof(f52306,plain,
k6_autgroup(sK45,k2_group_1(sK45)) = k6_partfun1(u1_struct_0(sK45)),
inference(forward_subsumption_resolution,[],[f52305,f41383]) ).
fof(f52307,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_partfun1(u1_struct_0(sK45)),k6_autgroup(sK45,sK46))
| spl1179_47 ),
inference(superposition,[],[f52138,f52306]) ).
fof(f52308,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| ~ m1_subset_1(X1,u1_struct_0(sK45))
| v3_struct_0(sK45)
| ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_autgroup(sK45,k1_group_1(sK45,X1,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,X1),k6_autgroup(sK45,X0))
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f41377,f41384]) ).
fof(f52309,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| ~ m1_subset_1(X1,u1_struct_0(sK45))
| ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_autgroup(sK45,k1_group_1(sK45,X1,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,X1),k6_autgroup(sK45,X0))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52308,f41387]) ).
fof(f52310,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| ~ m1_subset_1(X1,u1_struct_0(sK45))
| ~ v3_group_1(sK45)
| k6_autgroup(sK45,k1_group_1(sK45,X1,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,X1),k6_autgroup(sK45,X0))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52309,f41386]) ).
fof(f52311,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| ~ m1_subset_1(X1,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,X1,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,X1),k6_autgroup(sK45,X0))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52310,f41385]) ).
fof(f52312,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK45))
| ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,X1,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,X1),k6_autgroup(sK45,X0)) ),
inference(forward_subsumption_resolution,[],[f52311,f41383]) ).
fof(f52313,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,sK46,X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,X0)) ),
inference(resolution,[],[f52312,f41388]) ).
fof(f52314,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,X0))
| v3_struct_0(sK45)
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f52312,f42122]) ).
fof(f52315,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,X0))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52314,f41387]) ).
fof(f52316,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,k2_group_1(sK45)),k6_autgroup(sK45,X0)) ),
inference(forward_subsumption_resolution,[],[f52315,f41383]) ).
fof(f52317,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),X0)) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_partfun1(u1_struct_0(sK45)),k6_autgroup(sK45,X0)) ),
inference(forward_demodulation,[],[f52316,f52306]) ).
fof(f52319,plain,
( k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) = k6_autgroup(sK45,k1_group_1(sK45,sK46,k2_group_1(sK45)))
| v3_struct_0(sK45)
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f52313,f42122]) ).
fof(f52320,plain,
( k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) = k6_autgroup(sK45,k1_group_1(sK45,sK46,k2_group_1(sK45)))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52319,f41387]) ).
fof(f52321,plain,
k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_autgroup(sK45,k2_group_1(sK45))) = k6_autgroup(sK45,k1_group_1(sK45,sK46,k2_group_1(sK45))),
inference(forward_subsumption_resolution,[],[f52320,f41383]) ).
fof(f52322,plain,
k6_autgroup(sK45,k1_group_1(sK45,sK46,k2_group_1(sK45))) = k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_partfun1(u1_struct_0(sK45))),
inference(forward_demodulation,[],[f52321,f52306]) ).
fof(f52326,plain,
( v3_struct_0(sK45)
| ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k5_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f41372,f41384]) ).
fof(f52327,plain,
( ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k5_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52326,f41387]) ).
fof(f52328,plain,
( ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k5_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52327,f41386]) ).
fof(f52329,plain,
( k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k5_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52328,f41385]) ).
fof(f52330,plain,
k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k5_autgroup(sK45)),
inference(forward_subsumption_resolution,[],[f52329,f41383]) ).
fof(f52333,plain,
( v3_struct_0(sK45)
| ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k3_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f41351,f41384]) ).
fof(f52334,plain,
( ~ v1_group_1(sK45)
| ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k3_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52333,f41387]) ).
fof(f52335,plain,
( ~ v3_group_1(sK45)
| k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k3_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52334,f41386]) ).
fof(f52336,plain,
( k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k3_autgroup(sK45))
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f52335,f41385]) ).
fof(f52337,plain,
k6_partfun1(u1_struct_0(sK45)) = k2_group_1(k3_autgroup(sK45)),
inference(forward_subsumption_resolution,[],[f52336,f41383]) ).
fof(f52340,plain,
k2_group_1(k5_autgroup(sK45)) = k2_group_1(k3_autgroup(sK45)),
inference(superposition,[],[f52330,f52337]) ).
fof(f52341,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k2_group_1(k3_autgroup(sK45)),k6_autgroup(sK45,sK46))
| spl1179_47 ),
inference(superposition,[],[f52307,f52337]) ).
fof(f52361,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f47294,f45491]) ).
fof(f52362,plain,
u1_struct_0(sK45) = k2_pre_topc(sK45),
inference(resolution,[],[f52361,f41383]) ).
fof(f52363,plain,
m1_subset_1(sK46,k2_pre_topc(sK45)),
inference(superposition,[],[f41388,f52362]) ).
fof(f52381,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(k2_pre_topc(sK45),k2_pre_topc(sK45),k2_pre_topc(sK45),k2_group_1(k3_autgroup(sK45)),k6_autgroup(sK45,sK46))
| spl1179_47 ),
inference(superposition,[],[f52341,f52362]) ).
fof(f52425,plain,
k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_partfun1(u1_struct_0(sK45)),k6_autgroup(sK45,sK46)) = k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),sK46)),
inference(resolution,[],[f52317,f41388]) ).
fof(f52430,plain,
k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k2_group_1(k5_autgroup(sK45)),k6_autgroup(sK45,sK46)) = k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),sK46)),
inference(forward_demodulation,[],[f52425,f52330]) ).
fof(f52432,plain,
k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k2_group_1(k3_autgroup(sK45)),k6_autgroup(sK45,sK46)) = k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),sK46)),
inference(forward_demodulation,[],[f52430,f52340]) ).
fof(f52434,plain,
k7_funct_2(k2_pre_topc(sK45),k2_pre_topc(sK45),k2_pre_topc(sK45),k2_group_1(k3_autgroup(sK45)),k6_autgroup(sK45,sK46)) = k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),sK46)),
inference(forward_demodulation,[],[f52432,f52362]) ).
fof(f52484,plain,
( k6_autgroup(sK45,sK46) != k6_autgroup(sK45,k1_group_1(sK45,k2_group_1(sK45),sK46))
| spl1179_47 ),
inference(superposition,[],[f52381,f52434]) ).
fof(f53900,plain,
( k6_autgroup(sK45,sK46) != k7_funct_2(u1_struct_0(sK45),u1_struct_0(sK45),u1_struct_0(sK45),k6_autgroup(sK45,sK46),k6_partfun1(u1_struct_0(sK45)))
| spl1179_46 ),
inference(forward_demodulation,[],[f52135,f52306]) ).
fof(f53902,plain,
( k6_autgroup(sK45,sK46) != k6_autgroup(sK45,k1_group_1(sK45,sK46,k2_group_1(sK45)))
| spl1179_46 ),
inference(forward_demodulation,[],[f53900,f52322]) ).
fof(f54868,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,sK169(sK45),X0) = X0
| v3_struct_0(sK45)
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f42091,f41385]) ).
fof(f54873,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,sK169(sK45),X0) = X0
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54868,f41387]) ).
fof(f54876,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,sK169(sK45),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f54873,f41383]) ).
fof(f54881,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK45))
| k1_group_1(sK45,sK169(sK45),X0) = X0 ),
inference(forward_demodulation,[],[f54876,f52362]) ).
fof(f54888,plain,
sK46 = k1_group_1(sK45,sK169(sK45),sK46),
inference(resolution,[],[f54881,f52363]) ).
fof(f54891,plain,
( sK46 != sK46
| k2_group_1(sK45) = sK169(sK45)
| ~ m1_subset_1(sK169(sK45),u1_struct_0(sK45))
| ~ m1_subset_1(sK46,u1_struct_0(sK45))
| v3_struct_0(sK45)
| ~ v3_group_1(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(superposition,[],[f42123,f54888]) ).
fof(f54892,plain,
( k2_group_1(sK45) = sK169(sK45)
| ~ m1_subset_1(sK169(sK45),u1_struct_0(sK45))
| ~ m1_subset_1(sK46,u1_struct_0(sK45))
| v3_struct_0(sK45)
| ~ v3_group_1(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(trivial_inequality_removal,[],[f54891]) ).
fof(f54893,plain,
( k2_group_1(sK45) = sK169(sK45)
| ~ m1_subset_1(sK46,u1_struct_0(sK45))
| v3_struct_0(sK45)
| ~ v3_group_1(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54892,f42093]) ).
fof(f54895,plain,
( k2_group_1(sK45) = sK169(sK45)
| v3_struct_0(sK45)
| ~ v3_group_1(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54893,f41388]) ).
fof(f54897,plain,
( k2_group_1(sK45) = sK169(sK45)
| ~ v3_group_1(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54895,f41387]) ).
fof(f54899,plain,
( k2_group_1(sK45) = sK169(sK45)
| ~ v4_group_1(sK45)
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54897,f41385]) ).
fof(f54901,plain,
( k2_group_1(sK45) = sK169(sK45)
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54899,f41384]) ).
fof(f54903,plain,
k2_group_1(sK45) = sK169(sK45),
inference(forward_subsumption_resolution,[],[f54901,f41383]) ).
fof(f54906,plain,
sK46 = k1_group_1(sK45,k2_group_1(sK45),sK46),
inference(superposition,[],[f54888,f54903]) ).
fof(f54907,plain,
( k6_autgroup(sK45,sK46) != k6_autgroup(sK45,sK46)
| spl1179_47 ),
inference(superposition,[],[f52484,f54906]) ).
fof(f54909,plain,
( $false
| spl1179_47 ),
inference(trivial_inequality_removal,[],[f54907]) ).
fof(f54910,plain,
spl1179_47,
inference(avatar_contradiction_clause,[],[f54909]) ).
fof(f54954,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,X0,sK169(sK45)) = X0
| v3_struct_0(sK45)
| ~ l1_group_1(sK45) ),
inference(resolution,[],[f42092,f41385]) ).
fof(f54959,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,X0,sK169(sK45)) = X0
| ~ l1_group_1(sK45) ),
inference(forward_subsumption_resolution,[],[f54954,f41387]) ).
fof(f54962,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK45))
| k1_group_1(sK45,X0,sK169(sK45)) = X0 ),
inference(forward_subsumption_resolution,[],[f54959,f41383]) ).
fof(f54967,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK45))
| k1_group_1(sK45,X0,sK169(sK45)) = X0 ),
inference(forward_demodulation,[],[f54962,f52362]) ).
fof(f54968,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK45))
| k1_group_1(sK45,X0,k2_group_1(sK45)) = X0 ),
inference(forward_demodulation,[],[f54967,f54903]) ).
fof(f54975,plain,
sK46 = k1_group_1(sK45,sK46,k2_group_1(sK45)),
inference(resolution,[],[f54968,f52363]) ).
fof(f54977,plain,
( k6_autgroup(sK45,sK46) != k6_autgroup(sK45,sK46)
| spl1179_46 ),
inference(superposition,[],[f53902,f54975]) ).
fof(f54979,plain,
( $false
| spl1179_46 ),
inference(trivial_inequality_removal,[],[f54977]) ).
fof(f54980,plain,
spl1179_46,
inference(avatar_contradiction_clause,[],[f54979]) ).
cnf(s32,plain,
( ~ spl1179_46
| ~ spl1179_47 ),
inference(sat_conversion,[],[f52139]) ).
cnf(s201,plain,
spl1179_47,
inference(sat_conversion,[],[f54910]) ).
cnf(s204,plain,
spl1179_46,
inference(sat_conversion,[],[f54980]) ).
cnf(s262,plain,
$false,
inference(rat,[],[s32,s201,s204]) ).
fof(f54981,plain,
$false,
inference(avatar_sat_refutation,[],[s262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP631+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:16:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.16/3.69 % (3168165)Detected formulas, will run a generic FOF schedule.
% 15.16/3.69 % (3168173)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2785300834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 15.16/3.69 % (3168174)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3792919976:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 15.16/3.69 % (3168172)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3352685734:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 15.16/3.69 % (3168175)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=193138406:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 15.16/3.69 % (3168170)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3606486568:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 15.16/3.69 % (3168171)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1010574605:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 15.16/3.69 % (3168176)dis-21_1_sil=8000:lcm=predicate:random_seed=2301585639:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 15.16/3.69 % (3168174)Instruction limit reached!
% 15.16/3.69 % (3168174)------------------------------
% 15.16/3.69 % (3168174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.16/3.69 % (3168174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/3.69 % (3168174)CaDiCaL version: 2.1.3
% 15.16/3.69 % (3168174)Termination reason: Instruction limit
% 15.16/3.69 % (3168174)Termination phase: SInE selection
% 15.16/3.69 % (3168174)Time elapsed: 0.051 s
% 15.16/3.69 % (3168174)Peak memory usage: 133 MB
% 15.16/3.69 % (3168174)Instructions burned: 119 (million)
% 15.16/3.69 % (3168175)Instruction limit reached!
% 15.16/3.69 % (3168175)------------------------------
% 15.16/3.69 % (3168175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.16/3.69 % (3168175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/3.69 % (3168175)CaDiCaL version: 2.1.3
% 15.16/3.69 % (3168175)Termination reason: Instruction limit
% 15.16/3.69 % (3168175)Termination phase: Property scanning
% 15.16/3.69 % (3168175)Time elapsed: 0.062 s
% 15.16/3.69 % (3168175)Peak memory usage: 133 MB
% 15.16/3.69 % (3168175)Instructions burned: 143 (million)
% 15.16/3.69 % (3168173)Instruction limit reached!
% 15.16/3.69 % (3168173)------------------------------
% 15.16/3.69 % (3168173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.16/3.69 % (3168173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/3.69 % (3168173)CaDiCaL version: 2.1.3
% 15.16/3.69 % (3168173)Termination reason: Instruction limit
% 15.16/3.69 % (3168173)Termination phase: SInE selection
% 15.16/3.69 % (3168173)Time elapsed: 0.081 s
% 15.16/3.69 % (3168173)Peak memory usage: 133 MB
% 15.16/3.69 % (3168173)Instructions burned: 110 (million)
% 15.16/3.69 % (3168176)Instruction limit reached!
% 15.16/3.69 % (3168176)------------------------------
% 15.16/3.69 % (3168176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.16/3.70 % (3168176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/3.70 % (3168176)CaDiCaL version: 2.1.3
% 15.16/3.70 % (3168176)Termination reason: Instruction limit
% 15.16/3.70 % (3168176)Termination phase: SInE selection
% 15.16/3.70 % (3168176)Time elapsed: 0.090 s
% 15.16/3.70 % (3168176)Peak memory usage: 133 MB
% 15.16/3.70 % (3168176)Instructions burned: 130 (million)
% 15.16/3.70 % (3168185)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1362816540:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 15.16/3.70 % (3168184)lrs+10_1_sil=8000:sp=occurrence:random_seed=3542065922:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 15.16/3.70 % (3168185)Instruction limit reached!
% 15.16/3.70 % (3168185)------------------------------
% 15.16/3.70 % (3168185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.16/3.70 % (3168185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/3.70 % (3168185)CaDiCaL version: 2.1.3
% 15.16/3.70 % (3168185)Termination reason: Instruction limit
% 14.73/4.61 % (3168185)Termination phase: Property scanning
% 14.73/4.61 % (3168185)Time elapsed: 0.038 s
% 14.73/4.61 % (3168185)Peak memory usage: 133 MB
% 14.73/4.61 % (3168185)Instructions burned: 158 (million)
% 14.73/4.61 % (3168186)lrs+1011_1_sil=32000:sp=occurrence:random_seed=805232087:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 14.73/4.61 % (3168187)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1109756102:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 14.73/4.61 % (3168190)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=89996429:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 14.73/4.61 % (3168187)Instruction limit reached!
% 14.73/4.61 % (3168187)------------------------------
% 14.73/4.61 % (3168187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168187)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168187)Termination reason: Instruction limit
% 14.73/4.61 % (3168187)Termination phase: Property scanning
% 14.73/4.61 % (3168187)Time elapsed: 0.108 s
% 14.73/4.61 % (3168187)Peak memory usage: 133 MB
% 14.73/4.61 % (3168187)Instructions burned: 249 (million)
% 14.73/4.61 % (3168184)Instruction limit reached!
% 14.73/4.61 % (3168184)------------------------------
% 14.73/4.61 % (3168184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168184)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168184)Termination reason: Instruction limit
% 14.73/4.61 % (3168184)Termination phase: Property scanning
% 14.73/4.61 % (3168184)Time elapsed: 0.226 s
% 14.73/4.61 % (3168184)Peak memory usage: 138 MB
% 14.73/4.61 % (3168184)Instructions burned: 287 (million)
% 14.73/4.61 % (3168190)Instruction limit reached!
% 14.73/4.61 % (3168190)------------------------------
% 14.73/4.61 % (3168190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168190)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168190)Termination reason: Instruction limit
% 14.73/4.61 % (3168190)Termination phase: SInE selection
% 14.73/4.61 % (3168190)Time elapsed: 0.102 s
% 14.73/4.61 % (3168190)Peak memory usage: 134 MB
% 14.73/4.61 % (3168190)Instructions burned: 297 (million)
% 14.73/4.61 % (3168186)Refutation not found, incomplete strategy
% 14.73/4.61 % (3168186)------------------------------
% 14.73/4.61 % (3168186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168186)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168186)Termination reason: Refutation not found, incomplete strategy
% 14.73/4.61 % (3168186)Time elapsed: 0.204 s
% 14.73/4.61 % (3168186)Peak memory usage: 139 MB
% 14.73/4.61 % (3168186)Instructions burned: 255 (million)
% 14.73/4.61 % (3168194)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=632613176:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 14.73/4.61 % (3168196)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4208990976:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 14.73/4.61 % (3168195)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3712572062:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 14.73/4.61 % (3168196)Instruction limit reached!
% 14.73/4.61 % (3168196)------------------------------
% 14.73/4.61 % (3168196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168196)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168196)Termination reason: Instruction limit
% 14.73/4.61 % (3168196)Termination phase: Preprocessing 1
% 14.73/4.61 % (3168196)Time elapsed: 0.056 s
% 14.73/4.61 % (3168196)Peak memory usage: 136 MB
% 14.73/4.61 % (3168196)Instructions burned: 127 (million)
% 14.73/4.61 % (3168195)Instruction limit reached!
% 14.73/4.61 % (3168195)------------------------------
% 14.73/4.61 % (3168195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168195)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168195)Termination reason: Instruction limit
% 14.73/4.61 % (3168195)Termination phase: SInE selection
% 14.73/4.61 % (3168195)Time elapsed: 0.089 s
% 14.73/4.61 % (3168195)Peak memory usage: 133 MB
% 14.73/4.61 % (3168195)Instructions burned: 114 (million)
% 14.73/4.61 % (3168186)------------------------------
% 14.73/4.61 % (3168186)------------------------------
% 14.73/4.61 % (3168200)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1270328858:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 14.73/4.61 % (3168200)Instruction limit reached!
% 14.73/4.61 % (3168200)------------------------------
% 14.73/4.61 % (3168200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168200)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168200)Termination reason: Instruction limit
% 14.73/4.61 % (3168200)Termination phase: Property scanning
% 14.73/4.61 % (3168200)Time elapsed: 0.029 s
% 14.73/4.61 % (3168200)Peak memory usage: 133 MB
% 14.73/4.61 % (3168200)Instructions burned: 118 (million)
% 14.73/4.61 % (3168201)lrs+10_1_sil=8000:sp=occurrence:random_seed=923330092:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 14.73/4.61 % (3168202)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=496122215:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 14.73/4.61 % (3168204)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3189203700:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 14.73/4.61 % (3168202)Instruction limit reached!
% 14.73/4.61 % (3168202)------------------------------
% 14.73/4.61 % (3168202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168202)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168202)Termination reason: Instruction limit
% 14.73/4.61 % (3168202)Termination phase: Saturation
% 14.73/4.61 % (3168202)Time elapsed: 0.315 s
% 14.73/4.61 % (3168202)Peak memory usage: 142 MB
% 14.73/4.61 % (3168202)Instructions burned: 438 (million)
% 14.73/4.61 % (3168208)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2376630489:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 14.73/4.61 % (3168201)Instruction limit reached!
% 14.73/4.61 % (3168201)------------------------------
% 14.73/4.61 % (3168201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168201)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168201)Termination reason: Instruction limit
% 14.73/4.61 % (3168201)Termination phase: Property scanning
% 14.73/4.61 % (3168201)Time elapsed: 0.579 s
% 14.73/4.61 % (3168201)Peak memory usage: 153 MB
% 14.73/4.61 % (3168201)Instructions burned: 908 (million)
% 14.73/4.61 % (3168208)Instruction limit reached!
% 14.73/4.61 % (3168208)------------------------------
% 14.73/4.61 % (3168208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168208)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168208)Termination reason: Instruction limit
% 14.73/4.61 % (3168208)Termination phase: SInE selection
% 14.73/4.61 % (3168208)Time elapsed: 0.104 s
% 14.73/4.61 % (3168208)Peak memory usage: 133 MB
% 14.73/4.61 % (3168208)Instructions burned: 135 (million)
% 14.73/4.61 % (3168210)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3494175269:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 14.73/4.61 % (3168211)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2611085106:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 14.73/4.61 % (3168194)Instruction limit reached!
% 14.73/4.61 % (3168194)------------------------------
% 14.73/4.61 % (3168194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168194)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168194)Termination reason: Instruction limit
% 14.73/4.61 % (3168194)Termination phase: Property scanning
% 14.73/4.61 % (3168194)Time elapsed: 1.462 s
% 14.73/4.61 % (3168194)Peak memory usage: 227 MB
% 14.73/4.61 % (3168194)Instructions burned: 2352 (million)
% 14.73/4.61 % (3168210)Instruction limit reached!
% 14.73/4.61 % (3168210)------------------------------
% 14.73/4.61 % (3168210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168210)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168210)Termination reason: Instruction limit
% 14.73/4.61 % (3168210)Termination phase: Preprocessing 2
% 14.73/4.61 % (3168210)Time elapsed: 0.453 s
% 14.73/4.61 % (3168210)Peak memory usage: 143 MB
% 14.73/4.61 % (3168210)Instructions burned: 592 (million)
% 14.73/4.61 % (3168214)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2288825225:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 14.73/4.61 % (3168215)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4240752731:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 14.73/4.61 % (3168214)Instruction limit reached!
% 14.73/4.61 % (3168214)------------------------------
% 14.73/4.61 % (3168214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168214)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168214)Termination reason: Instruction limit
% 14.73/4.61 % (3168214)Termination phase: Property scanning
% 14.73/4.61 % (3168214)Time elapsed: 0.057 s
% 14.73/4.61 % (3168214)Peak memory usage: 133 MB
% 14.73/4.61 % (3168214)Instructions burned: 129 (million)
% 14.73/4.61 % (3168215)Instruction limit reached!
% 14.73/4.61 % (3168215)------------------------------
% 14.73/4.61 % (3168215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168215)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168215)Termination reason: Instruction limit
% 14.73/4.61 % (3168215)Termination phase: Property scanning
% 14.73/4.61 % (3168215)Time elapsed: 0.060 s
% 14.73/4.61 % (3168215)Peak memory usage: 133 MB
% 14.73/4.61 % (3168215)Instructions burned: 135 (million)
% 14.73/4.61 % (3168218)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1097569958:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/141Mi)
% 14.73/4.61 % (3168219)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=701368272:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 14.73/4.61 % (3168218)Instruction limit reached!
% 14.73/4.61 % (3168218)------------------------------
% 14.73/4.61 % (3168218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168218)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168218)Termination reason: Instruction limit
% 14.73/4.61 % (3168218)Termination phase: SInE selection
% 14.73/4.61 % (3168218)Time elapsed: 0.107 s
% 14.73/4.61 % (3168218)Peak memory usage: 133 MB
% 14.73/4.61 % (3168218)Instructions burned: 141 (million)
% 14.73/4.61 % (3168219)Refutation not found, incomplete strategy
% 14.73/4.61 % (3168219)------------------------------
% 14.73/4.61 % (3168219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.73/4.61 % (3168219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/4.61 % (3168219)CaDiCaL version: 2.1.3
% 14.73/4.61 % (3168219)Termination reason: Refutation not found, incomplete strategy
% 14.73/4.61 % (3168219)Time elapsed: 0.189 s
% 14.73/4.61 % (3168219)Peak memory usage: 139 MB
% 14.73/4.61 % (3168219)Instructions burned: 232 (million)
% 14.73/4.61 % (3168222)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1807203831:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 14.73/4.61 % (3168171)First to succeed.
% 14.73/4.61 % (3168171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3168165"
% 14.73/4.61 % (3168219)------------------------------
% 14.73/4.61 % (3168219)------------------------------
% 14.73/4.61 % (3168171)Refutation found. Thanks to Tanya!
% 14.73/4.61 % SZS status Theorem for theBenchmark
% 14.73/4.61 % SZS output start Proof for theBenchmark
% See solution above
% 23.47/4.83 % (3168171)------------------------------
% 23.47/4.83 % (3168171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.47/4.83 % (3168171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.83 % (3168171)CaDiCaL version: 2.1.3
% 23.47/4.83 % (3168171)Termination reason: Refutation
% 23.47/4.83 % (3168171)Time elapsed: 2.770 s
% 23.47/4.83 % (3168171)Peak memory usage: 305 MB
% 23.47/4.83 % (3168171)Instructions burned: 5954 (million)
% 23.47/4.83 % (3168171)------------------------------
% 23.47/4.83 % (3168171)------------------------------
% 23.47/4.83 % (3168165)Success in time 3.992 s
% 23.47/4.83 % Vampire exiting
%------------------------------------------------------------------------------