%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP004+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:27:44 AM UTC 2026
% Result : Theorem 3.91s 1.14s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 57 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 19 |; 11 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ! [X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
& s(X0,X2) != s(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).
fof(f30,axiom,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).
fof(f31,conjecture,
! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).
fof(f32,negated_conjecture,
~ ! [X0,X1] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f37,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
<=> ! [X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f38,plain,
? [X0,X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))),
inference(ennf_transformation,[],[f32]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ? [X3] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) )
& ( ! [X3] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ? [X3] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) )
& ( ! [X4] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) )
& ( ! [X4] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f64]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(X0,X2) = s(X0,X3) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
& s(X0,X2) != s(X0,X3) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| s(X0,X2) = s(X0,X3) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
& s(X0,X2) != s(X0,X3) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5))),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f38]) ).
fof(f116,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,sK3(X0,X1,X2)),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f67]) ).
fof(f121,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,c_2Epred__set_2ECHOICE_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))),
inference(cnf_transformation,[],[f30]) ).
fof(f122,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5))),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)))),
inference(cnf_transformation,[],[f68]) ).
fof(f126,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK4,sK3(sK4,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)),sK5)),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)))))),
inference(unit_resulting_resolution,[],[f116,f122]) ).
fof(f131,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK4,sK3(sK4,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)),sK5)),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)))),
inference(unit_resulting_resolution,[],[f117,f122]) ).
fof(f196,plain,
! [X0] : ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK4,sK3(sK4,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)),sK5)),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EDELETE_2E2(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5),s(sK4,X0)))))),
inference(unit_resulting_resolution,[],[f119,f131]) ).
fof(f220,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(sK4,sK3(sK4,c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)),sK5)),s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E1(s(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),sK5)))))),
inference(superposition,[],[f196,f121]) ).
fof(f221,plain,
$false,
inference(forward_subsumption_resolution,[],[f220,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP004+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 11:49:19 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 3.91/1.14 % (2244727)Detected formulas, will run a generic FOF schedule.
% 3.91/1.14 % (2244820)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2911720267:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.91/1.14 % (2244818)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=1774546745:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.91/1.14 % (2244816)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=126002514:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.91/1.14 % (2244821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2441553902:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.91/1.14 % (2244817)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=4235539411:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.91/1.14 % (2244819)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3580996312:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.91/1.14 % (2244822)dis-21_1_sil=8000:lcm=predicate:random_seed=2968137088:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.91/1.14 % (2244819)Refutation not found, incomplete strategy
% 3.91/1.14 % (2244819)------------------------------
% 3.91/1.14 % (2244819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244819)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244819)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.14 % (2244819)Time elapsed: 0.001 s
% 3.91/1.14 % (2244819)Peak memory usage: 87 MB
% 3.91/1.14 % (2244820)Instruction limit reached!
% 3.91/1.14 % (2244820)------------------------------
% 3.91/1.14 % (2244820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244820)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244820)Termination reason: Instruction limit
% 3.91/1.14 % (2244820)Termination phase: Saturation
% 3.91/1.14 % (2244820)Time elapsed: 0.035 s
% 3.91/1.14 % (2244820)Peak memory usage: 87 MB
% 3.91/1.14 % (2244820)Instructions burned: 120 (million)
% 3.91/1.14 % (2244822)Instruction limit reached!
% 3.91/1.14 % (2244822)------------------------------
% 3.91/1.14 % (2244822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244822)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244822)Termination reason: Instruction limit
% 3.91/1.14 % (2244822)Termination phase: Saturation
% 3.91/1.14 % (2244822)Time elapsed: 0.039 s
% 3.91/1.14 % (2244822)Peak memory usage: 89 MB
% 3.91/1.14 % (2244822)Instructions burned: 132 (million)
% 3.91/1.14 % (2244821)Instruction limit reached!
% 3.91/1.14 % (2244821)------------------------------
% 3.91/1.14 % (2244821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244821)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244821)Termination reason: Instruction limit
% 3.91/1.14 % (2244821)Termination phase: Saturation
% 3.91/1.14 % (2244821)Time elapsed: 0.044 s
% 3.91/1.14 % (2244821)Peak memory usage: 89 MB
% 3.91/1.14 % (2244821)Instructions burned: 140 (million)
% 3.91/1.14 % (2244819)------------------------------
% 3.91/1.14 % (2244819)------------------------------
% 3.91/1.14 % (2244831)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3492033973:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.91/1.14 % (2244830)lrs+10_1_sil=8000:sp=occurrence:random_seed=1532165076:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.91/1.14 % (2244831)Refutation not found, incomplete strategy
% 3.91/1.14 % (2244831)------------------------------
% 3.91/1.14 % (2244831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244831)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244831)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.14 % (2244831)Time elapsed: 0.002 s
% 3.91/1.14 % (2244831)Peak memory usage: 88 MB
% 3.91/1.14 % (2244831)Instructions burned: 5 (million)
% 3.91/1.14 % (2244832)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2813315902:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.91/1.14 % (2244830)Instruction limit reached!
% 3.91/1.14 % (2244830)------------------------------
% 3.91/1.14 % (2244830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244830)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244830)Termination reason: Instruction limit
% 3.91/1.14 % (2244830)Termination phase: Saturation
% 3.91/1.14 % (2244830)Time elapsed: 0.062 s
% 3.91/1.14 % (2244830)Peak memory usage: 88 MB
% 3.91/1.14 % (2244830)Instructions burned: 289 (million)
% 3.91/1.14 % (2244848)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=1301138495:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.91/1.14 % (2244848)First to succeed.
% 3.91/1.14 % (2244848)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2244727"
% 3.91/1.14 % (2244832)Instruction limit reached!
% 3.91/1.14 % (2244832)------------------------------
% 3.91/1.14 % (2244832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244832)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244832)Termination reason: Instruction limit
% 3.91/1.14 % (2244832)Termination phase: Saturation
% 3.91/1.14 % (2244832)Time elapsed: 0.114 s
% 3.91/1.14 % (2244832)Peak memory usage: 91 MB
% 3.91/1.14 % (2244832)Instructions burned: 327 (million)
% 3.91/1.14 % (2244831)------------------------------
% 3.91/1.14 % (2244831)------------------------------
% 3.91/1.14 % (2244850)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2087922026:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.91/1.14 % (2244850)Refutation not found, incomplete strategy
% 3.91/1.14 % (2244850)------------------------------
% 3.91/1.14 % (2244850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.14 % (2244850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.14 % (2244850)CaDiCaL version: 2.1.3
% 3.91/1.14 % (2244850)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.14 % (2244850)Time elapsed: 0.001 s
% 3.91/1.14 % (2244850)Peak memory usage: 88 MB
% 3.91/1.14 % (2244850)Instructions burned: 2 (million)
% 3.91/1.14 % (2244816)Also succeeded, but the first one will report.
% 3.91/1.14 % (2244818)Also succeeded, but the first one will report.
% 3.91/1.14 % (2244817)Also succeeded, but the first one will report.
% 3.91/1.14 % (2244852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4148771147:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.91/1.14 % (2244848)Refutation found. Thanks to Tanya!
% 3.91/1.14 % SZS status Theorem for theBenchmark
% 3.91/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.26 % (2244848)------------------------------
% 4.27/1.26 % (2244848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.26 % (2244848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.26 % (2244848)CaDiCaL version: 2.1.3
% 4.27/1.26 % (2244848)Termination reason: Refutation
% 4.27/1.26 % (2244848)Time elapsed: 0.004 s
% 4.27/1.26 % (2244848)Peak memory usage: 89 MB
% 4.27/1.26 % (2244848)Instructions burned: 11 (million)
% 4.27/1.26 % (2244848)------------------------------
% 4.27/1.26 % (2244848)------------------------------
% 4.27/1.26 % (2244727)Success in time 0.581 s
% 4.27/1.26 % Vampire exiting
%------------------------------------------------------------------------------