%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU446+2 : 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 : n018.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 12:49:08 PM UTC 2026
% Result : Theorem 20.99s 4.58s
% Output : Refutation 21.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 39 unt; 0 def)
% Number of atoms : 154 ( 63 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 116 ( 49 ~; 40 |; 11 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 158 ( 155 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f770,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cc1_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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_m2_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f4525,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f4528,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)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f4529,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_relset_2) ).
fof(f4530,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_relset_2) ).
fof(f4531,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
inference(negated_conjecture,[status(cth)],[f4530]) ).
fof(f4573,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(f4574,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,[],[f4573]) ).
fof(f4575,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(f4576,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,[],[f4575]) ).
fof(f4637,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(f4639,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) )
| ~ m2_relset_1(X4,X1,X2) )
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f4525]) ).
fof(f4642,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4528]) ).
fof(f4643,plain,
! [X0,X1,X2] :
( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1)
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4529]) ).
fof(f4644,plain,
? [X0,X1,X2] :
( k10_relset_1(X0,X1,X2,X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1)
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f4531]) ).
fof(f4648,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(f4649,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(f4979,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(f5258,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f770]) ).
fof(f5275,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(f5277,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(f6256,plain,
( k10_relset_1(sK12,sK13,sK14,sK12) != k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k6_relset_1(sK12,sK13,sK14),sK14),sK13)
& m2_relset_1(sK14,sK12,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f4644]) ).
fof(f6285,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(f6797,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,[],[f4574]) ).
fof(f6798,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,[],[f4576]) ).
fof(f6878,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f4637]) ).
fof(f6883,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X4,X1,X2)
| k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3)) ),
inference(cnf_transformation,[],[f4639]) ).
fof(f6889,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,[],[f4642]) ).
fof(f6890,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
inference(cnf_transformation,[],[f4643]) ).
fof(f6891,plain,
m2_relset_1(sK14,sK12,sK13),
inference(cnf_transformation,[],[f6256]) ).
fof(f6892,plain,
k10_relset_1(sK12,sK13,sK14,sK12) != k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k6_relset_1(sK12,sK13,sK14),sK14),sK13),
inference(cnf_transformation,[],[f6256]) ).
fof(f6900,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f4648]) ).
fof(f6901,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4649]) ).
fof(f6987,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6285]) ).
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,[],[f4979]) ).
fof(f7803,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = 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,[],[f5275]) ).
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,[],[f5277]) ).
fof(f10766,plain,
k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK14),sK13) = k1_funct_5(sK14),
inference(resolution,[],[f6889,f6891]) ).
fof(f10768,plain,
k10_relset_1(sK12,sK13,sK14,sK12) = k2_funct_5(sK14),
inference(resolution,[],[f6878,f6891]) ).
fof(f10772,plain,
m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))),
inference(resolution,[],[f6900,f6891]) ).
fof(f10773,plain,
m1_relset_1(sK14,sK12,sK13),
inference(resolution,[],[f6987,f6891]) ).
fof(f10774,plain,
! [X0] : k10_relset_1(sK12,sK13,sK14,X0) = k9_relat_1(sK14,X0),
inference(resolution,[],[f10773,f7372]) ).
fof(f10776,plain,
m2_relset_1(k6_relset_1(sK12,sK13,sK14),sK13,sK12),
inference(resolution,[],[f10773,f7866]) ).
fof(f10777,plain,
k6_relset_1(sK12,sK13,sK14) = k4_relat_1(sK14),
inference(resolution,[],[f10773,f7864]) ).
fof(f10778,plain,
m2_relset_1(k4_relat_1(sK14),sK13,sK12),
inference(forward_demodulation,[],[f10776,f10777]) ).
fof(f10780,plain,
k1_funct_5(sK14) = k10_relset_1(sK13,sK12,k4_relat_1(sK14),sK13),
inference(superposition,[],[f10766,f10777]) ).
fof(f10782,plain,
k10_relset_1(sK12,sK13,sK14,sK12) != k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14),sK13),
inference(superposition,[],[f6892,f10777]) ).
fof(f10783,plain,
k2_funct_5(sK14) != k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14),sK13),
inference(forward_demodulation,[],[f10782,f10768]) ).
fof(f10788,plain,
k10_relset_1(sK13,sK12,k4_relat_1(sK14),sK13) = k2_funct_5(k4_relat_1(sK14)),
inference(resolution,[],[f10778,f6878]) ).
fof(f10790,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK12,X1)
| k2_funct_5(k9_relset_2(sK13,sK12,X1,k4_relat_1(sK14),X0)) = k10_relset_1(sK12,X1,X0,k2_funct_5(k4_relat_1(sK14))) ),
inference(resolution,[],[f10778,f6883]) ).
fof(f10793,plain,
k10_relset_1(sK12,sK13,k6_relset_1(sK13,sK12,k4_relat_1(sK14)),sK12) = k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),k6_relset_1(sK13,sK12,k4_relat_1(sK14))),sK13),
inference(resolution,[],[f10778,f6890]) ).
fof(f10794,plain,
m1_subset_1(k4_relat_1(sK14),k1_zfmisc_1(k2_zfmisc_1(sK13,sK12))),
inference(resolution,[],[f10778,f6900]) ).
fof(f10795,plain,
m1_relset_1(k4_relat_1(sK14),sK13,sK12),
inference(resolution,[],[f10778,f6987]) ).
fof(f10799,plain,
k1_funct_5(sK14) = k2_funct_5(k4_relat_1(sK14)),
inference(forward_demodulation,[],[f10788,f10780]) ).
fof(f10804,plain,
k6_relset_1(sK13,sK12,k4_relat_1(sK14)) = k4_relat_1(k4_relat_1(sK14)),
inference(resolution,[],[f10795,f7864]) ).
fof(f10810,plain,
k10_relset_1(sK12,sK13,k4_relat_1(k4_relat_1(sK14)),sK12) = k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),k4_relat_1(k4_relat_1(sK14))),sK13),
inference(superposition,[],[f10793,f10804]) ).
fof(f10811,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,sK12)))
| m2_relset_1(k9_relset_2(X1,sK12,sK13,X0,sK14),X1,sK13) ),
inference(resolution,[],[f10772,f6797]) ).
fof(f10812,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,sK12)))
| k9_relset_2(X1,sK12,sK13,X0,sK14) = k5_relat_1(X0,sK14) ),
inference(resolution,[],[f10772,f6798]) ).
fof(f10835,plain,
m2_relset_1(k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14),sK13,sK13),
inference(resolution,[],[f10794,f10811]) ).
fof(f10836,plain,
k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14) = k5_relat_1(k4_relat_1(sK14),sK14),
inference(resolution,[],[f10794,f10812]) ).
fof(f10839,plain,
m2_relset_1(k5_relat_1(k4_relat_1(sK14),sK14),sK13,sK13),
inference(forward_demodulation,[],[f10835,f10836]) ).
fof(f10840,plain,
k2_funct_5(sK14) != k10_relset_1(sK13,sK13,k5_relat_1(k4_relat_1(sK14),sK14),sK13),
inference(superposition,[],[f10783,f10836]) ).
fof(f10843,plain,
k10_relset_1(sK13,sK13,k5_relat_1(k4_relat_1(sK14),sK14),sK13) = k2_funct_5(k5_relat_1(k4_relat_1(sK14),sK14)),
inference(resolution,[],[f10839,f6878]) ).
fof(f10855,plain,
k2_funct_5(sK14) != k2_funct_5(k5_relat_1(k4_relat_1(sK14),sK14)),
inference(superposition,[],[f10840,f10843]) ).
fof(f10898,plain,
k2_funct_5(k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14)) = k10_relset_1(sK12,sK13,sK14,k2_funct_5(k4_relat_1(sK14))),
inference(resolution,[],[f10790,f6891]) ).
fof(f10901,plain,
k2_funct_5(k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14)) = k9_relat_1(sK14,k2_funct_5(k4_relat_1(sK14))),
inference(forward_demodulation,[],[f10898,f10774]) ).
fof(f10903,plain,
k2_funct_5(k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14)) = k9_relat_1(sK14,k1_funct_5(sK14)),
inference(forward_demodulation,[],[f10901,f10799]) ).
fof(f10904,plain,
k2_funct_5(k5_relat_1(k4_relat_1(sK14),sK14)) = k9_relat_1(sK14,k1_funct_5(sK14)),
inference(forward_demodulation,[],[f10903,f10836]) ).
fof(f10905,plain,
k2_funct_5(sK14) != k9_relat_1(sK14,k1_funct_5(sK14)),
inference(superposition,[],[f10855,f10904]) ).
fof(f10916,plain,
v1_relat_1(sK14),
inference(resolution,[],[f6901,f10772]) ).
fof(f10917,plain,
sK14 = k4_relat_1(k4_relat_1(sK14)),
inference(resolution,[],[f10916,f7803]) ).
fof(f10921,plain,
k10_relset_1(sK12,sK13,sK14,sK12) = k10_relset_1(sK13,sK13,k9_relset_2(sK13,sK12,sK13,k4_relat_1(sK14),sK14),sK13),
inference(superposition,[],[f10810,f10917]) ).
fof(f10933,plain,
k10_relset_1(sK12,sK13,sK14,sK12) = k10_relset_1(sK13,sK13,k5_relat_1(k4_relat_1(sK14),sK14),sK13),
inference(forward_demodulation,[],[f10921,f10836]) ).
fof(f10935,plain,
k10_relset_1(sK12,sK13,sK14,sK12) = k2_funct_5(k5_relat_1(k4_relat_1(sK14),sK14)),
inference(forward_demodulation,[],[f10933,f10843]) ).
fof(f10936,plain,
k10_relset_1(sK12,sK13,sK14,sK12) = k9_relat_1(sK14,k1_funct_5(sK14)),
inference(forward_demodulation,[],[f10935,f10904]) ).
fof(f10937,plain,
k2_funct_5(sK14) = k9_relat_1(sK14,k1_funct_5(sK14)),
inference(forward_demodulation,[],[f10936,f10768]) ).
fof(f10938,plain,
$false,
inference(forward_subsumption_resolution,[],[f10937,f10905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU446+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n018.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Mon Sep 28 05:35:10 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 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
% 20.99/4.58 % (3077772)Detected formulas, will run a generic FOF schedule.
% 20.99/4.58 % (3077777)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=760181639:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 20.99/4.58 % (3077778)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=2532098532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 20.99/4.58 % (3077779)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=426371813:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 20.99/4.58 % (3077780)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2773505548:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 20.99/4.58 % (3077782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3172026487:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 20.99/4.58 % (3077781)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2382955581:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 20.99/4.58 % (3077783)dis-21_1_sil=8000:lcm=predicate:random_seed=1781294352: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)
% 20.99/4.58 % (3077780)Instruction limit reached!
% 20.99/4.58 % (3077780)------------------------------
% 20.99/4.58 % (3077780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077780)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077780)Termination reason: Instruction limit
% 20.99/4.58 % (3077780)Termination phase: Saturation
% 20.99/4.58 % (3077780)Time elapsed: 0.109 s
% 20.99/4.58 % (3077780)Peak memory usage: 93 MB
% 20.99/4.58 % (3077780)Instructions burned: 110 (million)
% 20.99/4.58 % (3077781)Instruction limit reached!
% 20.99/4.58 % (3077781)------------------------------
% 20.99/4.58 % (3077781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077781)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077781)Termination reason: Instruction limit
% 20.99/4.58 % (3077781)Termination phase: Saturation
% 20.99/4.58 % (3077781)Time elapsed: 0.126 s
% 20.99/4.58 % (3077781)Peak memory usage: 94 MB
% 20.99/4.58 % (3077781)Instructions burned: 119 (million)
% 20.99/4.58 % (3077782)Instruction limit reached!
% 20.99/4.58 % (3077782)------------------------------
% 20.99/4.58 % (3077782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077782)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077782)Termination reason: Instruction limit
% 20.99/4.58 % (3077782)Termination phase: Preprocessing 3
% 20.99/4.58 % (3077782)Time elapsed: 0.150 s
% 20.99/4.58 % (3077782)Peak memory usage: 94 MB
% 20.99/4.58 % (3077782)Instructions burned: 139 (million)
% 20.99/4.58 % (3077783)Instruction limit reached!
% 20.99/4.58 % (3077783)------------------------------
% 20.99/4.58 % (3077783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077783)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077783)Termination reason: Instruction limit
% 20.99/4.58 % (3077783)Termination phase: Preprocessing 3
% 20.99/4.58 % (3077783)Time elapsed: 0.147 s
% 20.99/4.58 % (3077783)Peak memory usage: 94 MB
% 20.99/4.58 % (3077783)Instructions burned: 129 (million)
% 20.99/4.58 % (3077791)lrs+10_1_sil=8000:sp=occurrence:random_seed=2412972427:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 20.99/4.58 % (3077792)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1524658902:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 20.99/4.58 % (3077793)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2419488008:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 20.99/4.58 % (3077794)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=2857556019:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 20.99/4.58 % (3077792)Instruction limit reached!
% 20.99/4.58 % (3077792)------------------------------
% 20.99/4.58 % (3077792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077792)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077792)Termination reason: Instruction limit
% 20.99/4.58 % (3077792)Termination phase: Saturation
% 20.99/4.58 % (3077792)Time elapsed: 0.153 s
% 20.99/4.58 % (3077792)Peak memory usage: 94 MB
% 20.99/4.58 % (3077792)Instructions burned: 157 (million)
% 20.99/4.58 % (3077794)Instruction limit reached!
% 20.99/4.58 % (3077794)------------------------------
% 20.99/4.58 % (3077794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077794)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077794)Termination reason: Instruction limit
% 20.99/4.58 % (3077794)Termination phase: Property scanning
% 20.99/4.58 % (3077794)Time elapsed: 0.254 s
% 20.99/4.58 % (3077794)Peak memory usage: 98 MB
% 20.99/4.58 % (3077794)Instructions burned: 248 (million)
% 20.99/4.58 % (3077791)Instruction limit reached!
% 20.99/4.58 % (3077791)------------------------------
% 20.99/4.58 % (3077791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077791)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077791)Termination reason: Instruction limit
% 20.99/4.58 % (3077791)Termination phase: Saturation
% 20.99/4.58 % (3077791)Time elapsed: 0.316 s
% 20.99/4.58 % (3077791)Peak memory usage: 98 MB
% 20.99/4.58 % (3077791)Instructions burned: 285 (million)
% 20.99/4.58 % (3077793)Instruction limit reached!
% 20.99/4.58 % (3077793)------------------------------
% 20.99/4.58 % (3077793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077793)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077793)Termination reason: Instruction limit
% 20.99/4.58 % (3077793)Termination phase: Saturation
% 20.99/4.58 % (3077793)Time elapsed: 0.345 s
% 20.99/4.58 % (3077793)Peak memory usage: 97 MB
% 20.99/4.58 % (3077793)Instructions burned: 325 (million)
% 20.99/4.58 % (3077799)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3038831108:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 20.99/4.58 % (3077799)Instruction limit reached!
% 20.99/4.58 % (3077799)------------------------------
% 20.99/4.58 % (3077799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077799)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077799)Termination reason: Instruction limit
% 20.99/4.58 % (3077799)Termination phase: Saturation
% 20.99/4.58 % (3077799)Time elapsed: 0.172 s
% 20.99/4.58 % (3077799)Peak memory usage: 97 MB
% 20.99/4.58 % (3077799)Instructions burned: 295 (million)
% 20.99/4.58 % (3077800)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=108262289:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 20.99/4.58 % (3077801)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=198614146:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 20.99/4.58 % (3077802)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3672514109:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 20.99/4.58 % (3077801)Instruction limit reached!
% 20.99/4.58 % (3077801)------------------------------
% 20.99/4.58 % (3077801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077801)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077801)Termination reason: Instruction limit
% 20.99/4.58 % (3077801)Termination phase: Saturation
% 20.99/4.58 % (3077801)Time elapsed: 0.119 s
% 20.99/4.58 % (3077801)Peak memory usage: 94 MB
% 20.99/4.58 % (3077801)Instructions burned: 113 (million)
% 20.99/4.58 % (3077806)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2477319768:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 20.99/4.58 % (3077802)Instruction limit reached!
% 20.99/4.58 % (3077802)------------------------------
% 20.99/4.58 % (3077802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077802)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077802)Termination reason: Instruction limit
% 20.99/4.58 % (3077802)Termination phase: Preprocessing 3
% 20.99/4.58 % (3077802)Time elapsed: 0.144 s
% 20.99/4.58 % (3077802)Peak memory usage: 96 MB
% 20.99/4.58 % (3077802)Instructions burned: 127 (million)
% 20.99/4.58 % (3077806)Instruction limit reached!
% 20.99/4.58 % (3077806)------------------------------
% 20.99/4.58 % (3077806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077806)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077806)Termination reason: Instruction limit
% 20.99/4.58 % (3077806)Termination phase: SInE selection
% 20.99/4.58 % (3077806)Time elapsed: 0.056 s
% 20.99/4.58 % (3077806)Peak memory usage: 89 MB
% 20.99/4.58 % (3077806)Instructions burned: 115 (million)
% 20.99/4.58 % (3077808)lrs+10_1_sil=8000:sp=occurrence:random_seed=2301788502:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 20.99/4.58 % (3077811)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3156284848:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 20.99/4.58 % (3077810)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1333030857:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 20.99/4.58 % (3077810)Refutation not found, incomplete strategy
% 20.99/4.58 % (3077810)------------------------------
% 20.99/4.58 % (3077810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077810)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077810)Termination reason: Refutation not found, incomplete strategy
% 20.99/4.58 % (3077810)Time elapsed: 0.182 s
% 20.99/4.58 % (3077810)Peak memory usage: 96 MB
% 20.99/4.58 % (3077810)Instructions burned: 168 (million)
% 20.99/4.58 % (3077810)------------------------------
% 20.99/4.58 % (3077810)------------------------------
% 20.99/4.58 % (3077778)First to succeed.
% 20.99/4.58 % (3077778)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3077772"
% 20.99/4.58 % (3077815)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3667092146:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 20.99/4.58 % (3077808)Instruction limit reached!
% 20.99/4.58 % (3077808)------------------------------
% 20.99/4.58 % (3077808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077808)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077808)Termination reason: Instruction limit
% 20.99/4.58 % (3077808)Termination phase: Saturation
% 20.99/4.58 % (3077808)Time elapsed: 1.012 s
% 20.99/4.58 % (3077808)Peak memory usage: 107 MB
% 20.99/4.58 % (3077808)Instructions burned: 907 (million)
% 20.99/4.58 % (3077815)Instruction limit reached!
% 20.99/4.58 % (3077815)------------------------------
% 20.99/4.58 % (3077815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.99/4.58 % (3077815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/4.58 % (3077815)CaDiCaL version: 2.1.3
% 20.99/4.58 % (3077815)Termination reason: Instruction limit
% 20.99/4.58 % (3077815)Termination phase: Saturation
% 20.99/4.58 % (3077815)Time elapsed: 0.080 s
% 20.99/4.58 % (3077815)Peak memory usage: 96 MB
% 20.99/4.58 % (3077815)Instructions burned: 136 (million)
% 20.99/4.58 % (3077779)Also succeeded, but the first one will report.
% 20.99/4.58 % (3077778)Refutation found. Thanks to Tanya!
% 20.99/4.58 % SZS status Theorem for theBenchmark
% 20.99/4.58 % SZS output start Proof for theBenchmark
% See solution above
% 21.78/4.78 % (3077778)------------------------------
% 21.78/4.78 % (3077778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.78/4.78 % (3077778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/4.78 % (3077778)CaDiCaL version: 2.1.3
% 21.78/4.78 % (3077778)Termination reason: Refutation
% 21.78/4.78 % (3077778)Time elapsed: 2.185 s
% 21.78/4.78 % (3077778)Peak memory usage: 162 MB
% 21.78/4.78 % (3077778)Instructions burned: 2110 (million)
% 21.78/4.78 % (3077778)------------------------------
% 21.78/4.78 % (3077778)------------------------------
% 21.78/4.78 % (3077772)Success in time 3.273 s
% 21.78/4.78 % Vampire exiting
%------------------------------------------------------------------------------