%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET752+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:41:50 PM UTC 2026
% Result : Theorem 9.82s 2.73s
% Output : Refutation 12.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 80 ( 16 unt; 5 def)
% Number of atoms : 216 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 212 ( 76 ~; 95 |; 32 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 142 ( 127 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1) )
=> equal_set(image2(X0,union(X3,X4)),union(image2(X0,X3),image2(X0,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa02) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1) )
=> equal_set(image2(X0,union(X3,X4)),union(image2(X0,X3),image2(X0,X4))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f36,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f35]) ).
fof(f44,plain,
? [X0,X1,X2,X3,X4] :
( ~ equal_set(image2(X0,union(X3,X4)),union(image2(X0,X3),image2(X0,X4)))
& maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f45,plain,
? [X0,X1,X2,X3,X4] :
( ~ equal_set(image2(X0,union(X3,X4)),union(image2(X0,X3),image2(X0,X4)))
& maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f47,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f47]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f52]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ( member(sK5(X0,X1,X2),X1)
& apply(X0,sK5(X0,X1,X2),X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X1,X2))],[f71]) ).
fof(f84,plain,
( ~ equal_set(image2(sK9,union(sK12,sK13)),union(image2(sK9,sK12),image2(sK9,sK13)))
& maps(sK9,sK10,sK11)
& subset(sK12,sK10)
& subset(sK13,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12),skolemize(X4,sK13)],[f45]) ).
fof(f86,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f95,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f96,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f121,plain,
! [X2,X0,X1] :
( apply(X0,sK5(X0,X1,X2),X2)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f122,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X1)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
~ equal_set(image2(sK9,union(sK12,sK13)),union(image2(sK9,sK12),image2(sK9,sK13))),
inference(cnf_transformation,[],[f84]) ).
fof(f142,definition,
sF14 = union(sK12,sK13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f143,plain,
union(sK12,sK13) = sF14,
inference(reorient_equations,[],[f142]) ).
fof(f144,definition,
sF15 = image2(sK9,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f145,plain,
image2(sK9,sF14) = sF15,
inference(reorient_equations,[],[f144]) ).
fof(f146,definition,
sF16 = image2(sK9,sK12),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f147,plain,
image2(sK9,sK12) = sF16,
inference(reorient_equations,[],[f146]) ).
fof(f148,definition,
sF17 = image2(sK9,sK13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f149,plain,
image2(sK9,sK13) = sF17,
inference(reorient_equations,[],[f148]) ).
fof(f150,definition,
sF18 = union(sF16,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f151,plain,
union(sF16,sF17) = sF18,
inference(reorient_equations,[],[f150]) ).
fof(f152,plain,
~ equal_set(sF15,sF18),
inference(definition_folding,[],[f138,f151,f149,f147,f145,f143]) ).
fof(f153,plain,
! [X0] :
( ~ member(X0,sK12)
| member(X0,sF14) ),
inference(superposition,[],[f96,f143]) ).
fof(f154,plain,
! [X0] :
( ~ member(X0,sF16)
| member(X0,sF18) ),
inference(superposition,[],[f96,f151]) ).
fof(f155,plain,
! [X0] :
( ~ member(X0,sK13)
| member(X0,sF14) ),
inference(superposition,[],[f95,f143]) ).
fof(f156,plain,
! [X0] :
( ~ member(X0,sF17)
| member(X0,sF18) ),
inference(superposition,[],[f95,f151]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ member(sK5(X0,X1,X2),X3)
| member(X2,image2(X0,X3))
| ~ member(X2,image2(X0,X1)) ),
inference(resolution,[],[f123,f121]) ).
fof(f167,plain,
! [X0] :
( ~ member(X0,sF14)
| member(X0,sK13)
| member(X0,sK12) ),
inference(superposition,[],[f94,f143]) ).
fof(f168,plain,
! [X0] :
( ~ member(X0,sF18)
| member(X0,sF17)
| member(X0,sF16) ),
inference(superposition,[],[f94,f151]) ).
fof(f169,plain,
! [X0,X1] :
( member(sK5(X0,sK12,X1),sF14)
| ~ member(X1,image2(X0,sK12)) ),
inference(resolution,[],[f153,f122]) ).
fof(f170,plain,
! [X0,X1] :
( member(sK5(X0,sK13,X1),sF14)
| ~ member(X1,image2(X0,sK13)) ),
inference(resolution,[],[f155,f122]) ).
fof(f171,plain,
! [X0,X1] :
( member(sK5(X0,sF14,X1),sK13)
| member(sK5(X0,sF14,X1),sK12)
| ~ member(X1,image2(X0,sF14)) ),
inference(resolution,[],[f167,f122]) ).
fof(f172,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sK12))
| member(X0,image2(X1,sF14))
| ~ member(X0,image2(X1,sK12)) ),
inference(resolution,[],[f169,f159]) ).
fof(f174,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sK12))
| member(X0,image2(X1,sF14)) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f176,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sK13))
| member(X0,image2(X1,sF14))
| ~ member(X0,image2(X1,sK13)) ),
inference(resolution,[],[f170,f159]) ).
fof(f178,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sK13))
| member(X0,image2(X1,sF14)) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f180,plain,
! [X0] :
( ~ member(X0,sF17)
| member(X0,image2(sK9,sF14)) ),
inference(superposition,[],[f178,f149]) ).
fof(f181,plain,
! [X0] :
( ~ member(X0,sF17)
| member(X0,sF15) ),
inference(forward_demodulation,[],[f180,f145]) ).
fof(f184,plain,
! [X0] :
( ~ member(X0,sF16)
| member(X0,image2(sK9,sF14)) ),
inference(superposition,[],[f174,f147]) ).
fof(f185,plain,
! [X0] :
( ~ member(X0,sF16)
| member(X0,sF15) ),
inference(forward_demodulation,[],[f184,f145]) ).
fof(f187,plain,
! [X0,X1] :
( member(sK5(X0,sF14,X1),sK12)
| ~ member(X1,image2(X0,sF14))
| member(X1,image2(X0,sK13))
| ~ member(X1,image2(X0,sF14)) ),
inference(resolution,[],[f171,f159]) ).
fof(f189,plain,
! [X0,X1] :
( member(sK5(X0,sF14,X1),sK12)
| ~ member(X1,image2(X0,sF14))
| member(X1,image2(X0,sK13)) ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f190,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sF14))
| member(X0,image2(X1,sK13))
| member(X0,image2(X1,sK12))
| ~ member(X0,image2(X1,sF14)) ),
inference(resolution,[],[f189,f159]) ).
fof(f192,plain,
! [X0,X1] :
( ~ member(X0,image2(X1,sF14))
| member(X0,image2(X1,sK13))
| member(X0,image2(X1,sK12)) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f194,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,image2(sK9,sK13))
| member(X0,image2(sK9,sK12)) ),
inference(superposition,[],[f192,f145]) ).
fof(f195,plain,
! [X0] :
( member(X0,sF17)
| ~ member(X0,sF15)
| member(X0,image2(sK9,sK12)) ),
inference(forward_demodulation,[],[f194,f149]) ).
fof(f196,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sF17)
| member(X0,sF16) ),
inference(forward_demodulation,[],[f195,f147]) ).
fof(f264,plain,
! [X0] :
( member(sK0(sF15,X0),sF17)
| subset(sF15,X0)
| member(sK0(sF15,X0),sF16) ),
inference(resolution,[],[f86,f196]) ).
fof(f269,plain,
! [X0] :
( member(sK0(sF18,X0),sF17)
| subset(sF18,X0)
| member(sK0(sF18,X0),sF16) ),
inference(resolution,[],[f86,f168]) ).
fof(f271,plain,
! [X0] :
( subset(sF15,X0)
| member(sK0(sF15,X0),sF16)
| member(sK0(sF15,X0),sF18) ),
inference(resolution,[],[f264,f156]) ).
fof(f273,plain,
! [X0] :
( member(sK0(sF15,X0),sF18)
| subset(sF15,X0) ),
inference(forward_subsumption_resolution,[],[f271,f154]) ).
fof(f276,plain,
! [X0] :
( subset(sF18,X0)
| member(sK0(sF18,X0),sF16)
| member(sK0(sF18,X0),sF15) ),
inference(resolution,[],[f269,f181]) ).
fof(f280,plain,
! [X0] :
( member(sK0(sF18,X0),sF15)
| subset(sF18,X0) ),
inference(forward_subsumption_resolution,[],[f276,f185]) ).
fof(f288,plain,
( subset(sF18,sF15)
| subset(sF18,sF15) ),
inference(resolution,[],[f87,f280]) ).
fof(f291,plain,
( subset(sF15,sF18)
| subset(sF15,sF18) ),
inference(resolution,[],[f87,f273]) ).
fof(f294,plain,
subset(sF15,sF18),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f297,plain,
subset(sF18,sF15),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f317,plain,
( ~ subset(sF15,sF18)
| equal_set(sF15,sF18) ),
inference(resolution,[],[f297,f88]) ).
fof(f318,plain,
equal_set(sF15,sF18),
inference(forward_subsumption_resolution,[],[f317,f294]) ).
fof(f319,plain,
$false,
inference(forward_subsumption_resolution,[],[f318,f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET752+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 28 02:42:46 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 9.82/2.73 % (1386825)Detected formulas, will run a generic FOF schedule.
% 9.82/2.73 % (1386833)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=3135664587:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.82/2.73 % (1386837)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4136096618:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.82/2.73 % (1386834)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=3243223761:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.82/2.73 % (1386836)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=965920910:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.82/2.73 % (1386835)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2448198835:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.82/2.73 % (1386832)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=1637983660:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.82/2.73 % (1386835)Refutation not found, incomplete strategy
% 9.82/2.73 % (1386835)------------------------------
% 9.82/2.73 % (1386835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386835)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386835)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.73 % (1386835)Time elapsed: 0.005 s
% 9.82/2.73 % (1386835)Peak memory usage: 88 MB
% 9.82/2.73 % (1386835)Instructions burned: 3 (million)
% 9.82/2.73 % (1386838)dis-21_1_sil=8000:lcm=predicate:random_seed=2161961338: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)
% 9.82/2.73 % (1386836)Instruction limit reached!
% 9.82/2.73 % (1386836)------------------------------
% 9.82/2.73 % (1386836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386836)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386836)Termination reason: Instruction limit
% 9.82/2.73 % (1386836)Termination phase: Saturation
% 9.82/2.73 % (1386836)Time elapsed: 0.110 s
% 9.82/2.73 % (1386836)Peak memory usage: 88 MB
% 9.82/2.73 % (1386836)Instructions burned: 119 (million)
% 9.82/2.73 % (1386838)Instruction limit reached!
% 9.82/2.73 % (1386838)------------------------------
% 9.82/2.73 % (1386838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386838)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386838)Termination reason: Instruction limit
% 9.82/2.73 % (1386838)Termination phase: Saturation
% 9.82/2.73 % (1386838)Time elapsed: 0.127 s
% 9.82/2.73 % (1386838)Peak memory usage: 89 MB
% 9.82/2.73 % (1386838)Instructions burned: 129 (million)
% 9.82/2.73 % (1386837)Instruction limit reached!
% 9.82/2.73 % (1386837)------------------------------
% 9.82/2.73 % (1386837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386837)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386837)Termination reason: Instruction limit
% 9.82/2.73 % (1386837)Termination phase: Saturation
% 9.82/2.73 % (1386837)Time elapsed: 0.138 s
% 9.82/2.73 % (1386837)Peak memory usage: 89 MB
% 9.82/2.73 % (1386837)Instructions burned: 140 (million)
% 9.82/2.73 % (1386847)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1648358472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.82/2.73 % (1386846)lrs+10_1_sil=8000:sp=occurrence:random_seed=638186214:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.82/2.73 % (1386835)------------------------------
% 9.82/2.73 % (1386835)------------------------------
% 9.82/2.73 % (1386848)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3081452387:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.82/2.73 % (1386847)Instruction limit reached!
% 9.82/2.73 % (1386847)------------------------------
% 9.82/2.73 % (1386847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386847)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386847)Termination reason: Instruction limit
% 9.82/2.73 % (1386847)Termination phase: Saturation
% 9.82/2.73 % (1386847)Time elapsed: 0.073 s
% 9.82/2.73 % (1386847)Peak memory usage: 88 MB
% 9.82/2.73 % (1386847)Instructions burned: 164 (million)
% 9.82/2.73 % (1386852)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=2167870983:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.82/2.73 % (1386846)Instruction limit reached!
% 9.82/2.73 % (1386846)------------------------------
% 9.82/2.73 % (1386846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386846)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386846)Termination reason: Instruction limit
% 9.82/2.73 % (1386846)Termination phase: Saturation
% 9.82/2.73 % (1386846)Time elapsed: 0.276 s
% 9.82/2.73 % (1386846)Peak memory usage: 92 MB
% 9.82/2.73 % (1386846)Instructions burned: 285 (million)
% 9.82/2.73 % (1386853)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4246798438:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.82/2.73 % (1386853)Refutation not found, incomplete strategy
% 9.82/2.73 % (1386853)------------------------------
% 9.82/2.73 % (1386853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386853)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386853)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.73 % (1386853)Time elapsed: 0.002 s
% 9.82/2.73 % (1386853)Peak memory usage: 88 MB
% 9.82/2.73 % (1386853)Instructions burned: 1 (million)
% 9.82/2.73 % (1386848)Instruction limit reached!
% 9.82/2.73 % (1386848)------------------------------
% 9.82/2.73 % (1386848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386848)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386848)Termination reason: Instruction limit
% 9.82/2.73 % (1386848)Termination phase: Saturation
% 9.82/2.73 % (1386848)Time elapsed: 0.312 s
% 9.82/2.73 % (1386848)Peak memory usage: 91 MB
% 9.82/2.73 % (1386848)Instructions burned: 325 (million)
% 9.82/2.73 % (1386852)Instruction limit reached!
% 9.82/2.73 % (1386852)------------------------------
% 9.82/2.73 % (1386852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386852)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386852)Termination reason: Instruction limit
% 9.82/2.73 % (1386852)Termination phase: Saturation
% 9.82/2.73 % (1386852)Time elapsed: 0.200 s
% 9.82/2.73 % (1386852)Peak memory usage: 89 MB
% 9.82/2.73 % (1386852)Instructions burned: 249 (million)
% 9.82/2.73 % (1386853)------------------------------
% 9.82/2.73 % (1386853)------------------------------
% 9.82/2.73 % (1386855)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1718633146:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.82/2.73 % (1386857)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=497972355:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 9.82/2.73 % (1386832)First to succeed.
% 9.82/2.73 % (1386832)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1386825"
% 9.82/2.73 % (1386857)Instruction limit reached!
% 9.82/2.73 % (1386857)------------------------------
% 9.82/2.73 % (1386857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386857)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386857)Termination reason: Instruction limit
% 9.82/2.73 % (1386857)Termination phase: Saturation
% 9.82/2.73 % (1386857)Time elapsed: 0.109 s
% 9.82/2.73 % (1386857)Peak memory usage: 89 MB
% 9.82/2.73 % (1386857)Instructions burned: 113 (million)
% 9.82/2.73 % (1386858)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3049087984:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.82/2.73 % (1386859)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2259861998:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 9.82/2.73 % (1386858)Instruction limit reached!
% 9.82/2.73 % (1386858)------------------------------
% 9.82/2.73 % (1386858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386858)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386858)Termination reason: Instruction limit
% 9.82/2.73 % (1386858)Termination phase: Saturation
% 9.82/2.73 % (1386858)Time elapsed: 0.062 s
% 9.82/2.73 % (1386858)Peak memory usage: 89 MB
% 9.82/2.73 % (1386858)Instructions burned: 129 (million)
% 9.82/2.73 % (1386859)Instruction limit reached!
% 9.82/2.73 % (1386859)------------------------------
% 9.82/2.73 % (1386859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386859)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386859)Termination reason: Instruction limit
% 9.82/2.73 % (1386859)Termination phase: Saturation
% 9.82/2.73 % (1386859)Time elapsed: 0.082 s
% 9.82/2.73 % (1386859)Peak memory usage: 89 MB
% 9.82/2.73 % (1386859)Instructions burned: 115 (million)
% 9.82/2.73 % (1386834)Also succeeded, but the first one will report.
% 9.82/2.73 % (1386862)lrs+10_1_sil=8000:sp=occurrence:random_seed=744707510:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 9.82/2.73 % (1386865)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4244021389:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 9.82/2.73 % (1386865)Refutation not found, incomplete strategy
% 9.82/2.73 % (1386865)------------------------------
% 9.82/2.73 % (1386865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.73 % (1386865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.73 % (1386865)CaDiCaL version: 2.1.3
% 9.82/2.73 % (1386865)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.73 % (1386865)Time elapsed: 0.001 s
% 9.82/2.73 % (1386865)Peak memory usage: 88 MB
% 9.82/2.73 % (1386865)Instructions burned: 1 (million)
% 9.82/2.73 % (1386866)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2639911739:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 9.82/2.73 % (1386832)Refutation found. Thanks to Tanya!
% 9.82/2.73 % SZS status Theorem for theBenchmark
% 9.82/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 12.60/2.98 % (1386832)------------------------------
% 12.60/2.98 % (1386832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.98 % (1386832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.98 % (1386832)CaDiCaL version: 2.1.3
% 12.60/2.98 % (1386832)Termination reason: Refutation
% 12.60/2.98 % (1386832)Time elapsed: 0.978 s
% 12.60/2.98 % (1386832)Peak memory usage: 129 MB
% 12.60/2.98 % (1386832)Instructions burned: 971 (million)
% 12.60/2.98 % (1386832)------------------------------
% 12.60/2.98 % (1386832)------------------------------
% 12.60/2.98 % (1386825)Success in time 1.672 s
% 12.60/2.98 % Vampire exiting
%------------------------------------------------------------------------------