%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU440+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:05 PM UTC 2026
% Result : Theorem 54.91s 14.73s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 221 ( 121 unt; 2 def)
% Number of atoms : 363 ( 151 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 243 ( 101 ~; 97 |; 17 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-5 aty)
% Number of variables : 229 ( 0 sgn 224 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f621,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_relat_1) ).
fof(f718,axiom,
! [X0] :
( v1_relat_1(X0)
=> k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f719,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_relat_1) ).
fof(f731,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
fof(f732,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f770,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f1120,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1145,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_1) ).
fof(f1159,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_relset_1) ).
fof(f1179,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1193,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1198,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1206,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f3011,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f4467,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f4468,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f4523,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f4524,conjecture,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_relset_2) ).
fof(f4525,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
& r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f4524]) ).
fof(f4567,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f4467]) ).
fof(f4568,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f4567]) ).
fof(f4569,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f4468]) ).
fof(f4570,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f4569]) ).
fof(f4631,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4523]) ).
fof(f4632,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ( k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) != k10_relset_1(X1,X0,k6_relset_1(X0,X1,X3),k1_funct_5(X4))
| ~ r1_tarski(k1_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k1_funct_5(X3)) )
& m2_relset_1(X4,X1,X2) )
& m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f4525]) ).
fof(f4636,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f4637,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f4733,plain,
! [X0] :
( ! [X1] :
( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f732]) ).
fof(f4734,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f731]) ).
fof(f4749,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1)))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f719]) ).
fof(f4750,plain,
! [X0] :
( k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f718]) ).
fof(f4969,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1206]) ).
fof(f5021,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X0,X1,X2,X0) = k5_relset_1(X0,X1,X2)
& k11_relset_1(X0,X1,X2,X1) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1159]) ).
fof(f5248,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f770]) ).
fof(f5251,plain,
! [X0] :
( ! [X1] :
( k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0))
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f621]) ).
fof(f5258,plain,
! [X0] :
( ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f3011]) ).
fof(f5265,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f5267,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f5268,plain,
! [X0,X1,X2] :
( ( k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k5_relset_1(X0,X1,X2)
& k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1145]) ).
fof(f5635,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1193]) ).
fof(f6261,plain,
( ( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),k1_funct_5(sK16))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k1_funct_5(sK15)) )
& m2_relset_1(sK16,sK13,sK14)
& m2_relset_1(sK15,sK12,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f4632]) ).
fof(f6290,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1181]) ).
fof(f6806,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f4568]) ).
fof(f6807,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f4570]) ).
fof(f6887,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f4631]) ).
fof(f6888,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f4631]) ).
fof(f6889,plain,
m2_relset_1(sK15,sK12,sK13),
inference(cnf_transformation,[],[f6261]) ).
fof(f6890,plain,
m2_relset_1(sK16,sK13,sK14),
inference(cnf_transformation,[],[f6261]) ).
fof(f6891,plain,
( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),k1_funct_5(sK16))
| ~ r1_tarski(k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k1_funct_5(sK15)) ),
inference(cnf_transformation,[],[f6261]) ).
fof(f6899,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4636]) ).
fof(f6900,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4637]) ).
fof(f6986,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6290]) ).
fof(f7040,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f4733]) ).
fof(f7041,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f4734]) ).
fof(f7054,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f4749]) ).
fof(f7055,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k9_relat_1(X0,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f4750]) ).
fof(f7372,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f4969]) ).
fof(f7498,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relset_1(X0,X1,X2) = k10_relset_1(X0,X1,X2,X0) ),
inference(cnf_transformation,[],[f5021]) ).
fof(f7803,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f5248]) ).
fof(f7808,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f5251]) ).
fof(f7820,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f5258]) ).
fof(f7821,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k1_funct_5(X0) ),
inference(cnf_transformation,[],[f5258]) ).
fof(f7864,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f5265]) ).
fof(f7866,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f5267]) ).
fof(f7867,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) = k4_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f5268]) ).
fof(f7868,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relset_1(X0,X1,X2) = k4_relset_1(X1,X0,k6_relset_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f5268]) ).
fof(f8343,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k1_relat_1(X2) = k4_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f5635]) ).
fof(f10648,definition,
( spl348_19
<=> r1_tarski(k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k1_funct_5(sK15)) ),
introduced(definition,[new_symbols(definition,[spl348_19])],[avatar_definition]) ).
fof(f10649,plain,
( ~ r1_tarski(k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)),k1_funct_5(sK15))
| spl348_19 ),
inference(avatar_component_clause,[],[f10648]) ).
fof(f10651,definition,
( spl348_20
<=> k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) = k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),k1_funct_5(sK16)) ),
introduced(definition,[new_symbols(definition,[spl348_20])],[avatar_definition]) ).
fof(f10652,plain,
( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),k1_funct_5(sK16))
| spl348_20 ),
inference(avatar_component_clause,[],[f10651]) ).
fof(f10653,plain,
( ~ spl348_19
| ~ spl348_20 ),
inference(avatar_split_clause,[],[f6891,f10651,f10648]) ).
fof(f10790,plain,
k1_funct_5(sK15) = k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),sK13),
inference(resolution,[],[f6888,f6889]) ).
fof(f10791,plain,
k1_funct_5(sK16) = k10_relset_1(sK14,sK13,k6_relset_1(sK13,sK14,sK16),sK14),
inference(resolution,[],[f6888,f6890]) ).
fof(f10792,plain,
k10_relset_1(sK12,sK13,sK15,sK12) = k2_funct_5(sK15),
inference(resolution,[],[f6887,f6889]) ).
fof(f10794,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m2_relset_1(k9_relset_2(X1,X2,X3,X0,X4),X1,X3)
| ~ m2_relset_1(X4,X2,X3) ),
inference(resolution,[],[f6806,f6899]) ).
fof(f10795,plain,
m1_relset_1(sK15,sK12,sK13),
inference(resolution,[],[f6986,f6889]) ).
fof(f10796,plain,
m1_relset_1(sK16,sK13,sK14),
inference(resolution,[],[f6986,f6890]) ).
fof(f10798,plain,
m2_relset_1(k6_relset_1(sK12,sK13,sK15),sK13,sK12),
inference(resolution,[],[f10795,f7866]) ).
fof(f10799,plain,
k6_relset_1(sK12,sK13,sK15) = k4_relat_1(sK15),
inference(resolution,[],[f10795,f7864]) ).
fof(f10800,plain,
m2_relset_1(k4_relat_1(sK15),sK13,sK12),
inference(forward_demodulation,[],[f10798,f10799]) ).
fof(f10802,plain,
k1_funct_5(sK15) = k10_relset_1(sK13,sK12,k4_relat_1(sK15),sK13),
inference(superposition,[],[f10790,f10799]) ).
fof(f10803,plain,
m1_relset_1(k4_relat_1(sK15),sK13,sK12),
inference(resolution,[],[f10800,f6986]) ).
fof(f10804,plain,
k10_relset_1(sK13,sK12,k4_relat_1(sK15),sK13) = k2_funct_5(k4_relat_1(sK15)),
inference(resolution,[],[f10800,f6887]) ).
fof(f10805,plain,
k1_funct_5(k4_relat_1(sK15)) = k10_relset_1(sK12,sK13,k6_relset_1(sK13,sK12,k4_relat_1(sK15)),sK12),
inference(resolution,[],[f10800,f6888]) ).
fof(f10806,plain,
k1_funct_5(sK15) = k2_funct_5(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f10804,f10802]) ).
fof(f10808,plain,
m2_relset_1(k6_relset_1(sK13,sK14,sK16),sK14,sK13),
inference(resolution,[],[f10796,f7866]) ).
fof(f10809,plain,
k6_relset_1(sK13,sK14,sK16) = k4_relat_1(sK16),
inference(resolution,[],[f10796,f7864]) ).
fof(f10810,plain,
m2_relset_1(k4_relat_1(sK16),sK14,sK13),
inference(forward_demodulation,[],[f10808,f10809]) ).
fof(f10812,plain,
k1_funct_5(sK16) = k10_relset_1(sK14,sK13,k4_relat_1(sK16),sK14),
inference(superposition,[],[f10791,f10809]) ).
fof(f10814,plain,
k10_relset_1(sK14,sK13,k4_relat_1(sK16),sK14) = k2_funct_5(k4_relat_1(sK16)),
inference(resolution,[],[f10810,f6887]) ).
fof(f10816,plain,
k1_funct_5(sK16) = k2_funct_5(k4_relat_1(sK16)),
inference(forward_demodulation,[],[f10814,f10812]) ).
fof(f10818,plain,
m2_relset_1(k6_relset_1(sK13,sK12,k4_relat_1(sK15)),sK12,sK13),
inference(resolution,[],[f10803,f7866]) ).
fof(f10819,plain,
k6_relset_1(sK13,sK12,k4_relat_1(sK15)) = k4_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f10803,f7864]) ).
fof(f10820,plain,
m2_relset_1(k4_relat_1(k4_relat_1(sK15)),sK12,sK13),
inference(forward_demodulation,[],[f10818,f10819]) ).
fof(f10822,plain,
k1_funct_5(k4_relat_1(sK15)) = k10_relset_1(sK12,sK13,k4_relat_1(k4_relat_1(sK15)),sK12),
inference(superposition,[],[f10805,f10819]) ).
fof(f10829,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X0,X3) = k9_relset_2(X1,X2,X4,X0,X3)
| ~ m2_relset_1(X3,X2,X4) ),
inference(resolution,[],[f6807,f6899]) ).
fof(f10830,plain,
! [X0] : k10_relset_1(sK12,sK13,sK15,X0) = k9_relat_1(sK15,X0),
inference(resolution,[],[f7372,f10795]) ).
fof(f10832,plain,
! [X0] : k10_relset_1(sK13,sK12,k4_relat_1(sK15),X0) = k9_relat_1(k4_relat_1(sK15),X0),
inference(resolution,[],[f7372,f10803]) ).
fof(f10835,plain,
k2_funct_5(sK15) = k9_relat_1(sK15,sK12),
inference(superposition,[],[f10792,f10830]) ).
fof(f10852,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X0,X2,X3)
| ~ m2_relset_1(X1,X3,X4)
| k5_relat_1(X0,X1) = k9_relset_2(X2,X3,X4,X0,X1) ),
inference(resolution,[],[f10829,f6899]) ).
fof(f10853,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) ),
inference(resolution,[],[f10794,f6899]) ).
fof(f10862,plain,
k10_relset_1(sK12,sK13,k4_relat_1(k4_relat_1(sK15)),sK12) = k2_funct_5(k4_relat_1(k4_relat_1(sK15))),
inference(resolution,[],[f10820,f6887]) ).
fof(f10864,plain,
k1_funct_5(k4_relat_1(sK15)) = k2_funct_5(k4_relat_1(k4_relat_1(sK15))),
inference(forward_demodulation,[],[f10862,f10822]) ).
fof(f10929,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f6900,f6899]) ).
fof(f10930,plain,
v1_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f10929,f10800]) ).
fof(f10932,plain,
v1_relat_1(k4_relat_1(sK16)),
inference(resolution,[],[f10929,f10810]) ).
fof(f10935,plain,
v1_relat_1(sK15),
inference(resolution,[],[f10929,f6889]) ).
fof(f10936,plain,
v1_relat_1(sK16),
inference(resolution,[],[f10929,f6890]) ).
fof(f10939,plain,
sK15 = k4_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f10935,f7803]) ).
fof(f10950,plain,
k2_funct_5(sK15) = k1_funct_5(k4_relat_1(sK15)),
inference(superposition,[],[f10864,f10939]) ).
fof(f10983,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK13,X1)
| k5_relat_1(k4_relat_1(sK16),X0) = k9_relset_2(sK14,sK13,X1,k4_relat_1(sK16),X0) ),
inference(resolution,[],[f10852,f10810]) ).
fof(f10986,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK13,X1)
| k5_relat_1(sK15,X0) = k9_relset_2(sK12,sK13,X1,sK15,X0) ),
inference(resolution,[],[f10852,f6889]) ).
fof(f10992,plain,
k5_relat_1(sK15,k4_relat_1(sK15)) = k9_relset_2(sK12,sK13,sK12,sK15,k4_relat_1(sK15)),
inference(resolution,[],[f10986,f10800]) ).
fof(f10995,plain,
k9_relset_2(sK12,sK13,sK14,sK15,sK16) = k5_relat_1(sK15,sK16),
inference(resolution,[],[f10986,f6890]) ).
fof(f10998,plain,
( ~ r1_tarski(k1_funct_5(k5_relat_1(sK15,sK16)),k1_funct_5(sK15))
| spl348_19 ),
inference(superposition,[],[f10649,f10995]) ).
fof(f10999,plain,
( m2_relset_1(k5_relat_1(sK15,sK16),sK12,sK14)
| ~ m2_relset_1(sK16,sK13,sK14)
| ~ m2_relset_1(sK15,sK12,sK13) ),
inference(superposition,[],[f10853,f10995]) ).
fof(f11000,plain,
( m2_relset_1(k5_relat_1(sK15,sK16),sK12,sK14)
| ~ m2_relset_1(sK15,sK12,sK13) ),
inference(forward_subsumption_resolution,[],[f10999,f6890]) ).
fof(f11001,plain,
m2_relset_1(k5_relat_1(sK15,sK16),sK12,sK14),
inference(forward_subsumption_resolution,[],[f11000,f6889]) ).
fof(f11004,plain,
v1_relat_1(k5_relat_1(sK15,sK16)),
inference(resolution,[],[f11001,f10929]) ).
fof(f11006,plain,
m1_relset_1(k5_relat_1(sK15,sK16),sK12,sK14),
inference(resolution,[],[f11001,f6986]) ).
fof(f11008,plain,
k1_funct_5(k5_relat_1(sK15,sK16)) = k10_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k5_relat_1(sK15,sK16)),sK14),
inference(resolution,[],[f11001,f6888]) ).
fof(f11014,plain,
m2_relset_1(k6_relset_1(sK12,sK14,k5_relat_1(sK15,sK16)),sK14,sK12),
inference(resolution,[],[f11006,f7866]) ).
fof(f11015,plain,
k6_relset_1(sK12,sK14,k5_relat_1(sK15,sK16)) = k4_relat_1(k5_relat_1(sK15,sK16)),
inference(resolution,[],[f11006,f7864]) ).
fof(f11016,plain,
m2_relset_1(k4_relat_1(k5_relat_1(sK15,sK16)),sK14,sK12),
inference(forward_demodulation,[],[f11014,f11015]) ).
fof(f11021,plain,
k1_funct_5(k5_relat_1(sK15,sK16)) = k10_relset_1(sK14,sK12,k4_relat_1(k5_relat_1(sK15,sK16)),sK14),
inference(superposition,[],[f11008,f11015]) ).
fof(f11022,plain,
k5_relat_1(sK15,sK16) = k4_relat_1(k4_relat_1(k5_relat_1(sK15,sK16))),
inference(resolution,[],[f11004,f7803]) ).
fof(f11024,plain,
( m2_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12)
| ~ m2_relset_1(k4_relat_1(sK15),sK13,sK12)
| ~ m2_relset_1(sK15,sK12,sK13) ),
inference(superposition,[],[f10853,f10992]) ).
fof(f11025,plain,
( m2_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12)
| ~ m2_relset_1(sK15,sK12,sK13) ),
inference(forward_subsumption_resolution,[],[f11024,f10800]) ).
fof(f11026,plain,
m2_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12),
inference(forward_subsumption_resolution,[],[f11025,f6889]) ).
fof(f11028,plain,
v1_relat_1(k5_relat_1(sK15,k4_relat_1(sK15))),
inference(resolution,[],[f11026,f10929]) ).
fof(f11030,plain,
m1_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12),
inference(resolution,[],[f11026,f6986]) ).
fof(f11031,plain,
k10_relset_1(sK12,sK12,k5_relat_1(sK15,k4_relat_1(sK15)),sK12) = k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))),
inference(resolution,[],[f11026,f6887]) ).
fof(f11037,plain,
! [X0] : k10_relset_1(sK12,sK12,k5_relat_1(sK15,k4_relat_1(sK15)),X0) = k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),X0),
inference(resolution,[],[f11030,f7372]) ).
fof(f11045,plain,
k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))) = k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12),
inference(superposition,[],[f11031,f11037]) ).
fof(f11102,plain,
k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)) = k9_relset_2(sK14,sK13,sK12,k4_relat_1(sK16),k4_relat_1(sK15)),
inference(resolution,[],[f10983,f10800]) ).
fof(f11137,plain,
k10_relset_1(sK14,sK12,k4_relat_1(k5_relat_1(sK15,sK16)),sK14) = k5_relset_1(sK14,sK12,k4_relat_1(k5_relat_1(sK15,sK16))),
inference(resolution,[],[f11016,f7498]) ).
fof(f11142,plain,
k1_funct_5(k5_relat_1(sK15,sK16)) = k5_relset_1(sK14,sK12,k4_relat_1(k5_relat_1(sK15,sK16))),
inference(forward_demodulation,[],[f11137,f11021]) ).
fof(f11157,plain,
k1_funct_5(k5_relat_1(sK15,sK16)) = k1_relat_1(k5_relat_1(sK15,sK16)),
inference(resolution,[],[f7821,f11004]) ).
fof(f11161,plain,
k1_funct_5(k4_relat_1(sK15)) = k1_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f7821,f10930]) ).
fof(f11162,plain,
k1_funct_5(sK15) = k1_relat_1(sK15),
inference(resolution,[],[f7821,f10935]) ).
fof(f11163,plain,
k1_funct_5(sK16) = k1_relat_1(sK16),
inference(resolution,[],[f7821,f10936]) ).
fof(f11164,plain,
k2_funct_5(sK15) = k1_relat_1(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f11161,f10950]) ).
fof(f11166,plain,
( ~ r1_tarski(k1_funct_5(k5_relat_1(sK15,sK16)),k1_relat_1(sK15))
| spl348_19 ),
inference(superposition,[],[f10998,f11162]) ).
fof(f11172,plain,
( ~ r1_tarski(k1_relat_1(k5_relat_1(sK15,sK16)),k1_relat_1(sK15))
| spl348_19 ),
inference(forward_demodulation,[],[f11166,f11157]) ).
fof(f11404,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14,sK12)
| ~ m2_relset_1(k4_relat_1(sK15),sK13,sK12)
| ~ m2_relset_1(k4_relat_1(sK16),sK14,sK13) ),
inference(superposition,[],[f10853,f11102]) ).
fof(f11405,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14,sK12)
| ~ m2_relset_1(k4_relat_1(sK16),sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f11404,f10800]) ).
fof(f11406,plain,
m2_relset_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14,sK12),
inference(forward_subsumption_resolution,[],[f11405,f10810]) ).
fof(f11409,plain,
k10_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14) = k2_funct_5(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f11406,f6887]) ).
fof(f11411,plain,
m1_relset_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14,sK12),
inference(resolution,[],[f11406,f6986]) ).
fof(f11412,plain,
k10_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),sK14) = k5_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f11406,f7498]) ).
fof(f11416,plain,
v1_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f11406,f10929]) ).
fof(f11421,plain,
k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f11411,f7864]) ).
fof(f11423,plain,
m2_relset_1(k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),sK12,sK14),
inference(resolution,[],[f11411,f7866]) ).
fof(f11430,plain,
k2_funct_5(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k5_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(superposition,[],[f11409,f11412]) ).
fof(f12011,plain,
! [X0] : r1_tarski(k9_relat_1(k4_relat_1(sK15),X0),k9_relat_1(k4_relat_1(sK15),k1_relat_1(k4_relat_1(sK15)))),
inference(resolution,[],[f7054,f10930]) ).
fof(f12014,plain,
! [X0] : r1_tarski(k9_relat_1(k4_relat_1(sK15),X0),k9_relat_1(k4_relat_1(sK15),k2_funct_5(sK15))),
inference(forward_demodulation,[],[f12011,f11164]) ).
fof(f12287,plain,
k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))) = k2_relat_1(k5_relat_1(sK15,k4_relat_1(sK15))),
inference(resolution,[],[f7820,f11028]) ).
fof(f12290,plain,
k2_funct_5(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k2_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f7820,f11416]) ).
fof(f12292,plain,
k2_funct_5(k4_relat_1(sK16)) = k2_relat_1(k4_relat_1(sK16)),
inference(resolution,[],[f7820,f10932]) ).
fof(f12293,plain,
k2_funct_5(k4_relat_1(sK15)) = k2_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f7820,f10930]) ).
fof(f12294,plain,
k2_funct_5(sK15) = k2_relat_1(sK15),
inference(resolution,[],[f7820,f10935]) ).
fof(f12296,plain,
k1_funct_5(sK15) = k2_relat_1(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f12293,f10806]) ).
fof(f12297,plain,
k1_funct_5(sK16) = k2_relat_1(k4_relat_1(sK16)),
inference(forward_demodulation,[],[f12292,f10816]) ).
fof(f12298,plain,
k1_relat_1(sK15) = k2_relat_1(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f12296,f11162]) ).
fof(f12299,plain,
k1_relat_1(sK16) = k2_relat_1(k4_relat_1(sK16)),
inference(forward_demodulation,[],[f12297,f11163]) ).
fof(f12946,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k9_relat_1(sK15,X1)) = k9_relat_1(k5_relat_1(sK15,X0),X1) ),
inference(resolution,[],[f7041,f10935]) ).
fof(f12967,plain,
! [X0] : k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),X0) = k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,X0)),
inference(resolution,[],[f12946,f10930]) ).
fof(f12990,plain,
k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))) = k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK12)),
inference(superposition,[],[f11045,f12967]) ).
fof(f12991,plain,
k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))) = k9_relat_1(k4_relat_1(sK15),k2_funct_5(sK15)),
inference(forward_demodulation,[],[f12990,f10835]) ).
fof(f12993,plain,
k2_funct_5(k5_relat_1(sK15,k4_relat_1(sK15))) = k9_relat_1(k4_relat_1(sK15),k2_relat_1(sK15)),
inference(forward_demodulation,[],[f12991,f12294]) ).
fof(f12995,plain,
k2_relat_1(k5_relat_1(sK15,k4_relat_1(sK15))) = k9_relat_1(k4_relat_1(sK15),k2_relat_1(sK15)),
inference(forward_demodulation,[],[f12993,f12287]) ).
fof(f14524,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(k5_relat_1(k4_relat_1(sK16),X0)) = k9_relat_1(X0,k2_relat_1(k4_relat_1(sK16))) ),
inference(resolution,[],[f7040,f10932]) ).
fof(f14532,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_relat_1(sK16)) = k2_relat_1(k5_relat_1(k4_relat_1(sK16),X0)) ),
inference(forward_demodulation,[],[f14524,f12299]) ).
fof(f14640,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k2_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),
inference(resolution,[],[f14532,f10930]) ).
fof(f16114,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(k4_relat_1(sK15))) = k2_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f7055,f10930]) ).
fof(f16120,plain,
k1_relat_1(sK15) = k9_relat_1(k4_relat_1(sK15),k1_relat_1(k4_relat_1(sK15))),
inference(forward_demodulation,[],[f16114,f12298]) ).
fof(f16132,plain,
k1_relat_1(sK15) = k9_relat_1(k4_relat_1(sK15),k2_funct_5(sK15)),
inference(forward_demodulation,[],[f16120,f11164]) ).
fof(f16139,plain,
k1_relat_1(sK15) = k9_relat_1(k4_relat_1(sK15),k2_relat_1(sK15)),
inference(forward_demodulation,[],[f16132,f12294]) ).
fof(f16150,plain,
k1_relat_1(sK15) = k2_relat_1(k5_relat_1(sK15,k4_relat_1(sK15))),
inference(superposition,[],[f12995,f16139]) ).
fof(f18037,plain,
k5_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k4_relset_1(sK12,sK14,k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(resolution,[],[f7868,f11406]) ).
fof(f18078,plain,
k5_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f18037,f11421]) ).
fof(f18110,plain,
k2_funct_5(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f18078,f11430]) ).
fof(f18125,plain,
k2_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))) = k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f18110,f12290]) ).
fof(f18129,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f18125,f14640]) ).
fof(f18396,plain,
m1_relset_1(k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),sK12,sK14),
inference(resolution,[],[f11423,f6986]) ).
fof(f18403,plain,
k4_relset_1(sK12,sK14,k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))) = k5_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k6_relset_1(sK14,sK12,k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))))),
inference(resolution,[],[f11423,f7867]) ).
fof(f18421,plain,
k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))) = k5_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))))),
inference(forward_demodulation,[],[f18403,f11421]) ).
fof(f18428,plain,
m1_relset_1(k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))),sK12,sK14),
inference(forward_demodulation,[],[f18396,f11421]) ).
fof(f18441,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k5_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15))))),
inference(forward_demodulation,[],[f18421,f18129]) ).
fof(f18458,plain,
k4_relset_1(sK12,sK14,k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))) = k1_relat_1(k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(resolution,[],[f18428,f8343]) ).
fof(f18460,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k1_relat_1(k4_relat_1(k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f18458,f18129]) ).
fof(f40762,plain,
( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),k1_relat_1(sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f10652,f11163]) ).
fof(f59462,plain,
( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k10_relset_1(sK13,sK12,k4_relat_1(sK15),k1_relat_1(sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f40762,f10799]) ).
fof(f59647,plain,
( k1_funct_5(k9_relset_2(sK12,sK13,sK14,sK15,sK16)) != k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f59462,f10832]) ).
fof(f59709,plain,
( k1_funct_5(k5_relat_1(sK15,sK16)) != k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f59647,f10995]) ).
fof(f59743,plain,
( k1_relat_1(k5_relat_1(sK15,sK16)) != k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16))
| spl348_20 ),
inference(forward_demodulation,[],[f59709,f11157]) ).
fof(f71420,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k5_relat_1(sK15,X0)) = k5_relat_1(k4_relat_1(X0),k4_relat_1(sK15)) ),
inference(resolution,[],[f7808,f10935]) ).
fof(f71502,plain,
k4_relat_1(k5_relat_1(sK15,sK16)) = k5_relat_1(k4_relat_1(sK16),k4_relat_1(sK15)),
inference(resolution,[],[f71420,f10936]) ).
fof(f87265,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k5_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k4_relat_1(k4_relat_1(k5_relat_1(sK15,sK16))))),
inference(superposition,[],[f18441,f71502]) ).
fof(f87271,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k1_relat_1(k4_relat_1(k4_relat_1(k5_relat_1(sK15,sK16)))),
inference(superposition,[],[f18460,f71502]) ).
fof(f87442,plain,
k1_relat_1(k5_relat_1(sK15,sK16)) = k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)),
inference(forward_demodulation,[],[f87271,f11022]) ).
fof(f87448,plain,
k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)) = k5_relset_1(sK14,sK12,k6_relset_1(sK12,sK14,k5_relat_1(sK15,sK16))),
inference(forward_demodulation,[],[f87265,f11022]) ).
fof(f87482,plain,
k5_relset_1(sK14,sK12,k4_relat_1(k5_relat_1(sK15,sK16))) = k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)),
inference(forward_demodulation,[],[f87448,f11015]) ).
fof(f87500,plain,
k1_funct_5(k5_relat_1(sK15,sK16)) = k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)),
inference(forward_demodulation,[],[f87482,f11142]) ).
fof(f87507,plain,
k1_relat_1(k5_relat_1(sK15,sK16)) = k9_relat_1(k4_relat_1(sK15),k1_relat_1(sK16)),
inference(forward_demodulation,[],[f87500,f11157]) ).
fof(f87511,plain,
( $false
| spl348_20 ),
inference(forward_subsumption_resolution,[],[f87507,f59743]) ).
fof(f87512,plain,
spl348_20,
inference(avatar_contradiction_clause,[],[f87511]) ).
fof(f87570,plain,
r1_tarski(k1_relat_1(k5_relat_1(sK15,sK16)),k9_relat_1(k4_relat_1(sK15),k2_funct_5(sK15))),
inference(superposition,[],[f12014,f87442]) ).
fof(f87583,plain,
r1_tarski(k1_relat_1(k5_relat_1(sK15,sK16)),k9_relat_1(k4_relat_1(sK15),k2_relat_1(sK15))),
inference(forward_demodulation,[],[f87570,f12294]) ).
fof(f87587,plain,
r1_tarski(k1_relat_1(k5_relat_1(sK15,sK16)),k2_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)))),
inference(forward_demodulation,[],[f87583,f12995]) ).
fof(f87588,plain,
r1_tarski(k1_relat_1(k5_relat_1(sK15,sK16)),k1_relat_1(sK15)),
inference(forward_demodulation,[],[f87587,f16150]) ).
fof(f87589,plain,
( $false
| spl348_19 ),
inference(forward_subsumption_resolution,[],[f87588,f11172]) ).
fof(f87590,plain,
spl348_19,
inference(avatar_contradiction_clause,[],[f87589]) ).
cnf(s11,plain,
( ~ spl348_19
| ~ spl348_20 ),
inference(sat_conversion,[],[f10653]) ).
cnf(s323,plain,
spl348_20,
inference(sat_conversion,[],[f87512]) ).
cnf(s331,plain,
spl348_19,
inference(sat_conversion,[],[f87590]) ).
cnf(s335,plain,
$false,
inference(rat,[],[s11,s323,s331]) ).
fof(f87591,plain,
$false,
inference(avatar_sat_refutation,[],[s335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU440+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n026.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Mon Sep 28 05:31:57 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.45/5.12 % (3514696)Detected formulas, will run a generic FOF schedule.
% 25.45/5.12 % (3514701)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=739936248:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 25.45/5.12 % (3514703)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=1055387180:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 25.45/5.12 % (3514702)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=1069374228:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 25.45/5.12 % (3514706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3969515593:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 25.45/5.12 % (3514705)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4236159456:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 25.45/5.12 % (3514704)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=462770415:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 25.45/5.12 % (3514707)dis-21_1_sil=8000:lcm=predicate:random_seed=2157450582:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 25.45/5.12 % (3514704)Instruction limit reached!
% 25.45/5.12 % (3514704)------------------------------
% 25.45/5.12 % (3514704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.45/5.12 % (3514704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/5.12 % (3514704)CaDiCaL version: 2.1.3
% 25.45/5.12 % (3514704)Termination reason: Instruction limit
% 25.45/5.12 % (3514704)Termination phase: Saturation
% 25.45/5.12 % (3514704)Time elapsed: 0.120 s
% 25.45/5.12 % (3514704)Peak memory usage: 94 MB
% 25.45/5.12 % (3514704)Instructions burned: 110 (million)
% 25.45/5.12 % (3514705)Instruction limit reached!
% 25.45/5.12 % (3514705)------------------------------
% 25.45/5.12 % (3514705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.45/5.12 % (3514705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/5.12 % (3514705)CaDiCaL version: 2.1.3
% 25.45/5.12 % (3514705)Termination reason: Instruction limit
% 25.45/5.12 % (3514705)Termination phase: Saturation
% 25.45/5.12 % (3514705)Time elapsed: 0.123 s
% 25.45/5.12 % (3514705)Peak memory usage: 94 MB
% 25.45/5.12 % (3514705)Instructions burned: 119 (million)
% 25.45/5.12 % (3514706)Instruction limit reached!
% 25.45/5.12 % (3514706)------------------------------
% 25.45/5.12 % (3514706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.45/5.12 % (3514706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/5.12 % (3514706)CaDiCaL version: 2.1.3
% 25.45/5.12 % (3514706)Termination reason: Instruction limit
% 25.45/5.12 % (3514706)Termination phase: Preprocessing 3
% 25.45/5.12 % (3514706)Time elapsed: 0.146 s
% 25.45/5.12 % (3514706)Peak memory usage: 94 MB
% 25.45/5.12 % (3514706)Instructions burned: 139 (million)
% 25.45/5.12 % (3514707)Instruction limit reached!
% 25.45/5.12 % (3514707)------------------------------
% 25.45/5.12 % (3514707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.45/5.12 % (3514707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/5.12 % (3514707)CaDiCaL version: 2.1.3
% 25.45/5.12 % (3514707)Termination reason: Instruction limit
% 25.45/5.12 % (3514707)Termination phase: Preprocessing 3
% 25.45/5.12 % (3514707)Time elapsed: 0.142 s
% 25.45/5.12 % (3514707)Peak memory usage: 94 MB
% 25.45/5.12 % (3514707)Instructions burned: 129 (million)
% 25.45/5.12 % (3514715)lrs+10_1_sil=8000:sp=occurrence:random_seed=3331432770:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 25.45/5.12 % (3514717)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3018344936:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 25.45/5.12 % (3514718)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=3717054664:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 25.45/5.12 % (3514716)lrs+10_1_sil=32000:urr=on:br=off:random_seed=627827264:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 25.45/5.12 % (3514716)Instruction limit reached!
% 34.42/6.41 % (3514716)------------------------------
% 34.42/6.41 % (3514716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514716)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514716)Termination reason: Instruction limit
% 34.42/6.41 % (3514716)Termination phase: Saturation
% 34.42/6.41 % (3514716)Time elapsed: 0.151 s
% 34.42/6.41 % (3514716)Peak memory usage: 94 MB
% 34.42/6.41 % (3514716)Instructions burned: 158 (million)
% 34.42/6.41 % (3514717)Instruction limit reached!
% 34.42/6.41 % (3514717)------------------------------
% 34.42/6.41 % (3514717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514717)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514717)Termination reason: Instruction limit
% 34.42/6.41 % (3514717)Termination phase: Saturation
% 34.42/6.41 % (3514717)Time elapsed: 0.220 s
% 34.42/6.41 % (3514717)Peak memory usage: 93 MB
% 34.42/6.41 % (3514717)Instructions burned: 326 (million)
% 34.42/6.41 % (3514718)Instruction limit reached!
% 34.42/6.41 % (3514718)------------------------------
% 34.42/6.41 % (3514718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514718)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514718)Termination reason: Instruction limit
% 34.42/6.41 % (3514718)Termination phase: Property scanning
% 34.42/6.41 % (3514718)Time elapsed: 0.245 s
% 34.42/6.41 % (3514718)Peak memory usage: 98 MB
% 34.42/6.41 % (3514718)Instructions burned: 248 (million)
% 34.42/6.41 % (3514715)Instruction limit reached!
% 34.42/6.41 % (3514715)------------------------------
% 34.42/6.41 % (3514715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514715)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514715)Termination reason: Instruction limit
% 34.42/6.41 % (3514715)Termination phase: Saturation
% 34.42/6.41 % (3514715)Time elapsed: 0.301 s
% 34.42/6.41 % (3514715)Peak memory usage: 98 MB
% 34.42/6.41 % (3514715)Instructions burned: 285 (million)
% 34.42/6.41 % (3514723)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3557718885:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 34.42/6.41 % (3514724)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=391278187:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 34.42/6.41 % (3514725)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3045165209:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 34.42/6.41 % (3514726)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1888523725:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 34.42/6.41 % (3514723)Instruction limit reached!
% 34.42/6.41 % (3514723)------------------------------
% 34.42/6.41 % (3514723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514723)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514723)Termination reason: Instruction limit
% 34.42/6.41 % (3514723)Termination phase: Saturation
% 34.42/6.41 % (3514723)Time elapsed: 0.176 s
% 34.42/6.41 % (3514723)Peak memory usage: 97 MB
% 34.42/6.41 % (3514723)Instructions burned: 294 (million)
% 34.42/6.41 % (3514725)Instruction limit reached!
% 34.42/6.41 % (3514725)------------------------------
% 34.42/6.41 % (3514725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514725)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514725)Termination reason: Instruction limit
% 34.42/6.41 % (3514725)Termination phase: Saturation
% 34.42/6.41 % (3514725)Time elapsed: 0.117 s
% 34.42/6.41 % (3514725)Peak memory usage: 94 MB
% 34.42/6.41 % (3514725)Instructions burned: 113 (million)
% 34.42/6.41 % (3514726)Instruction limit reached!
% 34.42/6.41 % (3514726)------------------------------
% 34.42/6.41 % (3514726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.42/6.41 % (3514726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.42/6.41 % (3514726)CaDiCaL version: 2.1.3
% 34.42/6.41 % (3514726)Termination reason: Instruction limit
% 80.12/12.89 % (3514726)Termination phase: Preprocessing 3
% 80.12/12.89 % (3514726)Time elapsed: 0.139 s
% 80.12/12.89 % (3514726)Peak memory usage: 97 MB
% 80.12/12.89 % (3514726)Instructions burned: 127 (million)
% 80.12/12.89 % (3514731)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2057017339:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 80.12/12.89 % (3514731)Instruction limit reached!
% 80.12/12.89 % (3514731)------------------------------
% 80.12/12.89 % (3514731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/12.89 % (3514731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/12.89 % (3514731)CaDiCaL version: 2.1.3
% 80.12/12.89 % (3514731)Termination reason: Instruction limit
% 80.12/12.89 % (3514731)Termination phase: SInE selection
% 80.12/12.89 % (3514731)Time elapsed: 0.056 s
% 80.12/12.89 % (3514731)Peak memory usage: 89 MB
% 80.12/12.89 % (3514731)Instructions burned: 114 (million)
% 80.12/12.89 % (3514732)lrs+10_1_sil=8000:sp=occurrence:random_seed=3057389297:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 80.12/12.89 % (3514733)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3571751297:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 80.12/12.89 % (3514735)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2541585396:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 80.12/12.89 % (3514733)Refutation not found, incomplete strategy
% 80.12/12.89 % (3514733)------------------------------
% 80.12/12.89 % (3514733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/12.89 % (3514733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/12.89 % (3514733)CaDiCaL version: 2.1.3
% 80.12/12.89 % (3514733)Termination reason: Refutation not found, incomplete strategy
% 80.12/12.89 % (3514733)Time elapsed: 0.258 s
% 80.12/12.89 % (3514733)Peak memory usage: 96 MB
% 80.12/12.89 % (3514733)Instructions burned: 248 (million)
% 80.12/12.89 % (3514733)------------------------------
% 80.12/12.89 % (3514733)------------------------------
% 80.12/12.89 % (3514739)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=435531248:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 80.12/12.89 % (3514732)Instruction limit reached!
% 80.12/12.89 % (3514732)------------------------------
% 80.12/12.89 % (3514732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/12.89 % (3514732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/12.89 % (3514732)CaDiCaL version: 2.1.3
% 80.12/12.89 % (3514732)Termination reason: Instruction limit
% 80.12/12.89 % (3514732)Termination phase: Saturation
% 80.12/12.89 % (3514732)Time elapsed: 0.970 s
% 80.12/12.89 % (3514732)Peak memory usage: 107 MB
% 80.12/12.89 % (3514732)Instructions burned: 908 (million)
% 80.12/12.89 % (3514739)Instruction limit reached!
% 80.12/12.89 % (3514739)------------------------------
% 80.12/12.89 % (3514739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/12.89 % (3514739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/12.89 % (3514739)CaDiCaL version: 2.1.3
% 80.12/12.89 % (3514739)Termination reason: Instruction limit
% 80.12/12.89 % (3514739)Termination phase: Saturation
% 80.12/12.89 % (3514739)Time elapsed: 0.138 s
% 80.12/12.89 % (3514739)Peak memory usage: 96 MB
% 80.12/12.89 % (3514739)Instructions burned: 135 (million)
% 80.12/12.89 % (3514741)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=23888384:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 80.12/12.89 % (3514742)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=285237295:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 80.12/12.89 % (3514741)Instruction limit reached!
% 80.12/12.89 % (3514741)------------------------------
% 80.12/12.89 % (3514741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/12.89 % (3514741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/12.89 % (3514741)CaDiCaL version: 2.1.3
% 80.12/12.89 % (3514741)Termination reason: Instruction limit
% 80.12/12.89 % (3514741)Termination phase: Saturation
% 80.12/12.89 % (3514741)Time elapsed: 0.544 s
% 80.12/12.89 % (3514741)Peak memory usage: 106 MB
% 80.12/12.89 % (3514741)Instructions burned: 592 (million)
% 80.12/12.89 % (3514745)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=3100829589:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 54.91/14.73 % (3514724)Instruction limit reached!
% 54.91/14.73 % (3514724)------------------------------
% 54.91/14.73 % (3514724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514724)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514724)Termination reason: Instruction limit
% 54.91/14.73 % (3514724)Termination phase: Saturation
% 54.91/14.73 % (3514724)Time elapsed: 2.457 s
% 54.91/14.73 % (3514724)Peak memory usage: 238 MB
% 54.91/14.73 % (3514724)Instructions burned: 2351 (million)
% 54.91/14.73 % (3514745)Instruction limit reached!
% 54.91/14.73 % (3514745)------------------------------
% 54.91/14.73 % (3514745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514745)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514745)Termination reason: Instruction limit
% 54.91/14.73 % (3514745)Termination phase: Function definition elimination
% 54.91/14.73 % (3514745)Time elapsed: 0.127 s
% 54.91/14.73 % (3514745)Peak memory usage: 92 MB
% 54.91/14.73 % (3514745)Instructions burned: 125 (million)
% 54.91/14.73 % (3514747)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=426678874:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 54.91/14.73 % (3514748)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2234598221:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 54.91/14.73 % (3514747)Instruction limit reached!
% 54.91/14.73 % (3514747)------------------------------
% 54.91/14.73 % (3514747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514747)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514747)Termination reason: Instruction limit
% 54.91/14.73 % (3514747)Termination phase: Preprocessing 1
% 54.91/14.73 % (3514747)Time elapsed: 0.134 s
% 54.91/14.73 % (3514747)Peak memory usage: 90 MB
% 54.91/14.73 % (3514747)Instructions burned: 135 (million)
% 54.91/14.73 % (3514748)Instruction limit reached!
% 54.91/14.73 % (3514748)------------------------------
% 54.91/14.73 % (3514748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514748)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514748)Termination reason: Instruction limit
% 54.91/14.73 % (3514748)Termination phase: Saturation
% 54.91/14.73 % (3514748)Time elapsed: 0.135 s
% 54.91/14.73 % (3514748)Peak memory usage: 94 MB
% 54.91/14.73 % (3514748)Instructions burned: 142 (million)
% 54.91/14.73 % (3514752)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=842977563:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 54.91/14.73 % (3514751)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2319053282:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 54.91/14.73 % (3514735)Instruction limit reached!
% 54.91/14.73 % (3514735)------------------------------
% 54.91/14.73 % (3514735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514735)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514735)Termination reason: Instruction limit
% 54.91/14.73 % (3514735)Termination phase: Saturation
% 54.91/14.73 % (3514735)Time elapsed: 3.030 s
% 54.91/14.73 % (3514735)Peak memory usage: 184 MB
% 54.91/14.73 % (3514735)Instructions burned: 5204 (million)
% 54.91/14.73 % (3514751)Instruction limit reached!
% 54.91/14.73 % (3514751)------------------------------
% 54.91/14.73 % (3514751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514751)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514751)Termination reason: Instruction limit
% 54.91/14.73 % (3514751)Termination phase: Saturation
% 54.91/14.73 % (3514751)Time elapsed: 0.434 s
% 54.91/14.73 % (3514751)Peak memory usage: 96 MB
% 54.91/14.73 % (3514751)Instructions burned: 431 (million)
% 54.91/14.73 % (3514755)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3508231102:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 54.91/14.73 % (3514755)Instruction limit reached!
% 54.91/14.73 % (3514755)------------------------------
% 54.91/14.73 % (3514755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514755)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514755)Termination reason: Instruction limit
% 54.91/14.73 % (3514755)Termination phase: Preprocessing 3
% 54.91/14.73 % (3514755)Time elapsed: 0.096 s
% 54.91/14.73 % (3514755)Peak memory usage: 97 MB
% 54.91/14.73 % (3514755)Instructions burned: 150 (million)
% 54.91/14.73 % (3514756)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3051640395:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 54.91/14.73 % (3514759)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1874322886:i=667:av=off:fsr=off_2947 on theBenchmark for (2947ds/667Mi)
% 54.91/14.73 % (3514759)Instruction limit reached!
% 54.91/14.73 % (3514759)------------------------------
% 54.91/14.73 % (3514759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514759)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514759)Termination reason: Instruction limit
% 54.91/14.73 % (3514759)Termination phase: Saturation
% 54.91/14.73 % (3514759)Time elapsed: 0.351 s
% 54.91/14.73 % (3514759)Peak memory usage: 107 MB
% 54.91/14.73 % (3514759)Instructions burned: 667 (million)
% 54.91/14.73 % (3514761)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=9985621:s2a=on:i=185:s2at=1.8:fdi=4_2942 on theBenchmark for (2942ds/185Mi)
% 54.91/14.73 % (3514761)Instruction limit reached!
% 54.91/14.73 % (3514761)------------------------------
% 54.91/14.73 % (3514761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514761)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514761)Termination reason: Instruction limit
% 54.91/14.73 % (3514761)Termination phase: NewCNF
% 54.91/14.73 % (3514761)Time elapsed: 0.214 s
% 54.91/14.73 % (3514761)Peak memory usage: 98 MB
% 54.91/14.73 % (3514761)Instructions burned: 185 (million)
% 54.91/14.73 % (3514763)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2353277536:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2936 on theBenchmark for (2936ds/193Mi)
% 54.91/14.73 % (3514763)Instruction limit reached!
% 54.91/14.73 % (3514763)------------------------------
% 54.91/14.73 % (3514763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514763)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514763)Termination reason: Instruction limit
% 54.91/14.73 % (3514763)Termination phase: Saturation
% 54.91/14.73 % (3514763)Time elapsed: 0.223 s
% 54.91/14.73 % (3514763)Peak memory usage: 98 MB
% 54.91/14.73 % (3514763)Instructions burned: 194 (million)
% 54.91/14.73 % (3514765)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=816559357:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2931 on theBenchmark for (2931ds/4850Mi)
% 54.91/14.73 % (3514752)Instruction limit reached!
% 54.91/14.73 % (3514752)------------------------------
% 54.91/14.73 % (3514752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514752)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514752)Termination reason: Instruction limit
% 54.91/14.73 % (3514752)Termination phase: Saturation
% 54.91/14.73 % (3514752)Time elapsed: 3.864 s
% 54.91/14.73 % (3514752)Peak memory usage: 248 MB
% 54.91/14.73 % (3514752)Instructions burned: 6061 (million)
% 54.91/14.73 % (3514767)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2284881385:i=12111:sd=1:ss=included_2915 on theBenchmark for (2915ds/12111Mi)
% 54.91/14.73 % (3514765)Instruction limit reached!
% 54.91/14.73 % (3514765)------------------------------
% 54.91/14.73 % (3514765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514765)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514765)Termination reason: Instruction limit
% 54.91/14.73 % (3514765)Termination phase: Saturation
% 54.91/14.73 % (3514765)Time elapsed: 4.535 s
% 54.91/14.73 % (3514765)Peak memory usage: 137 MB
% 54.91/14.73 % (3514765)Instructions burned: 4851 (million)
% 54.91/14.73 % (3514769)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2911295768:i=319:kws=precedence:fsr=off_2883 on theBenchmark for (2883ds/319Mi)
% 54.91/14.73 % (3514769)Instruction limit reached!
% 54.91/14.73 % (3514769)------------------------------
% 54.91/14.73 % (3514769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.91/14.73 % (3514769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.91/14.73 % (3514769)CaDiCaL version: 2.1.3
% 54.91/14.73 % (3514769)Termination reason: Instruction limit
% 54.91/14.73 % (3514769)Termination phase: Property scanning
% 54.91/14.73 % (3514769)Time elapsed: 0.301 s
% 54.91/14.73 % (3514769)Peak memory usage: 100 MB
% 54.91/14.73 % (3514769)Instructions burned: 319 (million)
% 54.91/14.73 % (3514771)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=420794803:i=2064:ep=RST_2878 on theBenchmark for (2878ds/2064Mi)
% 54.91/14.73 % (3514702)First to succeed.
% 54.91/14.73 % (3514702)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3514696"
% 54.91/14.73 % (3514702)Refutation found. Thanks to Tanya!
% 54.91/14.73 % SZS status Theorem for theBenchmark
% 54.91/14.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/15.07 % (3514702)------------------------------
% 0.31/15.07 % (3514702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.31/15.07 % (3514702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/15.07 % (3514702)CaDiCaL version: 2.1.3
% 0.31/15.07 % (3514702)Termination reason: Refutation
% 0.31/15.07 % (3514702)Time elapsed: 12.344 s
% 0.31/15.07 % (3514702)Peak memory usage: 246 MB
% 0.31/15.07 % (3514702)Instructions burned: 11729 (million)
% 0.31/15.07 % (3514702)------------------------------
% 0.31/15.07 % (3514702)------------------------------
% 0.31/15.07 % (3514696)Success in time 13.423 s
% 0.31/15.07 % Vampire exiting
%------------------------------------------------------------------------------