%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU164+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:47:31 PM UTC 2026
% Result : Theorem 0.18s 2.14s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 18 unt; 2 def)
% Number of atoms : 199 ( 35 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 228 ( 90 ~; 93 |; 36 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 103 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f13,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f15,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f49,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f92,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f93,conjecture,
! [X0] : union(powerset(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(f94,negated_conjecture,
~ ! [X0] : union(powerset(X0)) = X0,
inference(negated_conjecture,[status(cth)],[f93]) ).
fof(f99,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f49]) ).
fof(f105,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f143,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f144,plain,
? [X0] : union(powerset(X0)) != X0,
inference(ennf_transformation,[],[f94]) ).
fof(f146,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f147,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f146]) ).
fof(f154,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f155,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f154]) ).
fof(f156,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK2(X0,X1),X0)
| ~ in(sK2(X0,X1),X1) )
& ( subset(sK2(X0,X1),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f155]) ).
fof(f168,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f169,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f170,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f169]) ).
fof(f175,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) ) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f176,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X2,X4)
& in(X4,X0) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ? [X7] :
( in(X5,X7)
& in(X7,X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK12(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK12(X0,X1),X1) )
& ( ( in(sK12(X0,X1),sK13(X0,X1))
& in(sK13(X0,X1),X0) )
| in(sK12(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK14(X0,X5))
& in(sK14(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X2,sK12(X0,X1)),skolemize(X4,sK13(X0,X1)),skolemize(X7,sK14(X0,X5))],[f176]) ).
fof(f203,plain,
sK21 != union(powerset(sK21)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f144]) ).
fof(f211,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f218,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f219,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f242,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f243,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f244,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f251,plain,
! [X0,X1,X5] :
( in(sK14(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f177]) ).
fof(f252,plain,
! [X0,X1,X5] :
( in(X5,sK14(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f177]) ).
fof(f292,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f348,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f349,plain,
sK21 != union(powerset(sK21)),
inference(cnf_transformation,[],[f203]) ).
fof(f411,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f219]) ).
fof(f412,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f218]) ).
fof(f430,plain,
! [X0,X5] :
( in(X5,sK14(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f252]) ).
fof(f431,plain,
! [X0,X5] :
( in(sK14(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f251]) ).
fof(f439,definition,
sF22 = powerset(sK21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f440,plain,
powerset(sK21) = sF22,
inference(reorient_equations,[],[f439]) ).
fof(f441,definition,
sF23 = union(sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f442,plain,
union(sF22) = sF23,
inference(reorient_equations,[],[f441]) ).
fof(f443,plain,
sK21 != sF23,
inference(definition_folding,[],[f349,f442,f440]) ).
fof(f445,plain,
! [X0] :
( ~ in(X0,sF22)
| subset(X0,sK21) ),
inference(superposition,[],[f412,f440]) ).
fof(f447,plain,
! [X0] :
( ~ subset(X0,sK21)
| in(X0,sF22) ),
inference(superposition,[],[f411,f440]) ).
fof(f449,plain,
! [X0] :
( ~ in(X0,union(sF22))
| subset(sK14(sF22,X0),sK21) ),
inference(resolution,[],[f431,f445]) ).
fof(f450,plain,
! [X0] :
( subset(sK14(sF22,X0),sK21)
| ~ in(X0,sF23) ),
inference(forward_demodulation,[],[f449,f442]) ).
fof(f464,plain,
! [X0] :
( ~ in(X0,sF22)
| subset(X0,sF23) ),
inference(superposition,[],[f348,f442]) ).
fof(f471,plain,
! [X0,X1] :
( ~ in(X0,sK14(sF22,X1))
| in(X0,sK21)
| ~ in(X1,sF23) ),
inference(resolution,[],[f242,f450]) ).
fof(f473,plain,
! [X0] :
( in(X0,sK21)
| ~ in(X0,sF23)
| ~ in(X0,union(sF22)) ),
inference(resolution,[],[f471,f430]) ).
fof(f476,plain,
! [X0] :
( ~ in(X0,sF23)
| in(X0,sK21)
| ~ in(X0,sF23) ),
inference(forward_demodulation,[],[f473,f442]) ).
fof(f477,plain,
! [X0] :
( ~ in(X0,sF23)
| in(X0,sK21) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f479,plain,
! [X0] :
( in(sK10(sF23,X0),sK21)
| subset(sF23,X0) ),
inference(resolution,[],[f477,f243]) ).
fof(f480,plain,
( subset(sF23,sK21)
| subset(sF23,sK21) ),
inference(resolution,[],[f479,f244]) ).
fof(f482,plain,
subset(sF23,sK21),
inference(duplicate_literal_removal,[],[f480]) ).
fof(f485,plain,
( ~ subset(sK21,sF23)
| sK21 = sF23 ),
inference(resolution,[],[f482,f211]) ).
fof(f486,plain,
~ subset(sK21,sF23),
inference(forward_subsumption_resolution,[],[f485,f443]) ).
fof(f494,plain,
in(sK21,sF22),
inference(resolution,[],[f292,f447]) ).
fof(f497,plain,
subset(sK21,sF23),
inference(resolution,[],[f494,f464]) ).
fof(f501,plain,
$false,
inference(forward_subsumption_resolution,[],[f497,f486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU164+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n014.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 03:50:01 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 6.60/1.95 % (1416582)Detected formulas, will run a generic FOF schedule.
% 6.60/1.95 % (1416591)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2769397693:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.60/1.95 % (1416591)Instruction limit reached!
% 6.60/1.95 % (1416591)------------------------------
% 6.60/1.95 % (1416591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416591)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416591)Termination reason: Instruction limit
% 6.60/1.95 % (1416591)Termination phase: Saturation
% 6.60/1.95 % (1416591)Time elapsed: 0.042 s
% 6.60/1.95 % (1416591)Peak memory usage: 89 MB
% 6.60/1.95 % (1416591)Instructions burned: 120 (million)
% 6.60/1.95 % (1416589)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=1951349169:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.60/1.95 % (1416592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4022622562:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.60/1.95 % (1416587)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=1303546698:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.60/1.95 % (1416588)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=3067518010:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.60/1.95 % (1416593)dis-21_1_sil=8000:lcm=predicate:random_seed=2109755783: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)
% 6.60/1.95 % (1416590)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2016937402:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.60/1.95 % (1416590)Instruction limit reached!
% 6.60/1.95 % (1416590)------------------------------
% 6.60/1.95 % (1416590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416590)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416590)Termination reason: Instruction limit
% 6.60/1.95 % (1416590)Termination phase: Saturation
% 6.60/1.95 % (1416590)Time elapsed: 0.070 s
% 6.60/1.95 % (1416590)Peak memory usage: 89 MB
% 6.60/1.95 % (1416590)Instructions burned: 109 (million)
% 6.60/1.95 % (1416593)Instruction limit reached!
% 6.60/1.95 % (1416593)------------------------------
% 6.60/1.95 % (1416593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416593)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416593)Termination reason: Instruction limit
% 6.60/1.95 % (1416593)Termination phase: Saturation
% 6.60/1.95 % (1416593)Time elapsed: 0.081 s
% 6.60/1.95 % (1416593)Peak memory usage: 89 MB
% 6.60/1.95 % (1416593)Instructions burned: 129 (million)
% 6.60/1.95 % (1416592)Instruction limit reached!
% 6.60/1.95 % (1416592)------------------------------
% 6.60/1.95 % (1416592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416592)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416592)Termination reason: Instruction limit
% 6.60/1.95 % (1416592)Termination phase: Saturation
% 6.60/1.95 % (1416592)Time elapsed: 0.095 s
% 6.60/1.95 % (1416592)Peak memory usage: 89 MB
% 6.60/1.95 % (1416592)Instructions burned: 140 (million)
% 6.60/1.95 % (1416601)lrs+10_1_sil=8000:sp=occurrence:random_seed=681234172:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.60/1.95 % (1416601)Instruction limit reached!
% 6.60/1.95 % (1416601)------------------------------
% 6.60/1.95 % (1416601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416601)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416601)Termination reason: Instruction limit
% 6.60/1.95 % (1416601)Termination phase: Saturation
% 6.60/1.95 % (1416601)Time elapsed: 0.098 s
% 6.60/1.95 % (1416601)Peak memory usage: 91 MB
% 6.60/1.95 % (1416601)Instructions burned: 286 (million)
% 6.60/1.95 % (1416602)lrs+10_1_sil=32000:urr=on:br=off:random_seed=833940259:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.60/1.95 % (1416603)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2247296915:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.60/1.95 % (1416602)Refutation not found, incomplete strategy
% 6.60/1.95 % (1416602)------------------------------
% 6.60/1.95 % (1416602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416602)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416602)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.95 % (1416602)Time elapsed: 0.002 s
% 6.60/1.95 % (1416602)Peak memory usage: 88 MB
% 6.60/1.95 % (1416602)Instructions burned: 1 (million)
% 6.60/1.95 % (1416604)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=2218712504:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.60/1.95 % (1416606)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=622711319:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.60/1.95 % (1416604)Instruction limit reached!
% 6.60/1.95 % (1416604)------------------------------
% 6.60/1.95 % (1416604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416604)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416604)Termination reason: Instruction limit
% 6.60/1.95 % (1416604)Termination phase: Saturation
% 6.60/1.95 % (1416604)Time elapsed: 0.136 s
% 6.60/1.95 % (1416604)Peak memory usage: 91 MB
% 6.60/1.95 % (1416604)Instructions burned: 248 (million)
% 6.60/1.95 % (1416606)Instruction limit reached!
% 6.60/1.95 % (1416606)------------------------------
% 6.60/1.95 % (1416606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416606)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416606)Termination reason: Instruction limit
% 6.60/1.95 % (1416606)Termination phase: Saturation
% 6.60/1.95 % (1416606)Time elapsed: 0.097 s
% 6.60/1.95 % (1416606)Peak memory usage: 89 MB
% 6.60/1.95 % (1416606)Instructions burned: 297 (million)
% 6.60/1.95 % (1416603)Instruction limit reached!
% 6.60/1.95 % (1416603)------------------------------
% 6.60/1.95 % (1416603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416603)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416603)Termination reason: Instruction limit
% 6.60/1.95 % (1416603)Termination phase: Saturation
% 6.60/1.95 % (1416603)Time elapsed: 0.224 s
% 6.60/1.95 % (1416603)Peak memory usage: 91 MB
% 6.60/1.95 % (1416603)Instructions burned: 325 (million)
% 6.60/1.95 % (1416602)------------------------------
% 6.60/1.95 % (1416602)------------------------------
% 6.60/1.95 % (1416611)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3293704931:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.60/1.95 % (1416612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1878037194:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.60/1.95 % (1416612)Instruction limit reached!
% 6.60/1.95 % (1416612)------------------------------
% 6.60/1.95 % (1416612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1416612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1416612)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1416612)Termination reason: Instruction limit
% 6.60/1.95 % (1416612)Termination phase: Saturation
% 6.60/1.95 % (1416612)Time elapsed: 0.035 s
% 6.60/1.95 % (1416612)Peak memory usage: 89 MB
% 6.60/1.95 % (1416612)Instructions burned: 114 (million)
% 6.60/1.95 % (1416613)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1143506895:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.60/1.95 % (1416614)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2250477211:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.60/1.95 % (1416587)First to succeed.
% 6.60/1.95 % (1416587)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1416582"
% 0.18/2.14 % (1416589)Also succeeded, but the first one will report.
% 0.18/2.14 % (1416613)Instruction limit reached!
% 0.18/2.14 % (1416613)------------------------------
% 0.18/2.14 % (1416613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1416613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1416613)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1416613)Termination reason: Instruction limit
% 0.18/2.14 % (1416613)Termination phase: Saturation
% 0.18/2.14 % (1416613)Time elapsed: 0.065 s
% 0.18/2.14 % (1416613)Peak memory usage: 89 MB
% 0.18/2.14 % (1416613)Instructions burned: 129 (million)
% 0.18/2.14 % (1416614)Instruction limit reached!
% 0.18/2.14 % (1416614)------------------------------
% 0.18/2.14 % (1416614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1416614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1416614)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1416614)Termination reason: Instruction limit
% 0.18/2.14 % (1416614)Termination phase: Saturation
% 0.18/2.14 % (1416614)Time elapsed: 0.069 s
% 0.18/2.14 % (1416614)Peak memory usage: 89 MB
% 0.18/2.14 % (1416614)Instructions burned: 115 (million)
% 0.18/2.14 % (1416617)lrs+10_1_sil=8000:sp=occurrence:random_seed=3958239147:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 0.18/2.14 % (1416620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2244008223:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 0.18/2.14 % (1416621)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=103037056:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 0.18/2.14 % (1416587)Refutation found. Thanks to Tanya!
% 0.18/2.14 % SZS status Theorem for theBenchmark
% 0.18/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.14 % (1416587)------------------------------
% 0.18/2.14 % (1416587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (1416587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (1416587)CaDiCaL version: 2.1.3
% 0.18/2.14 % (1416587)Termination reason: Refutation
% 0.18/2.14 % (1416587)Time elapsed: 0.644 s
% 0.18/2.14 % (1416587)Peak memory usage: 129 MB
% 0.18/2.14 % (1416587)Instructions burned: 965 (million)
% 0.18/2.14 % (1416587)------------------------------
% 0.18/2.14 % (1416587)------------------------------
% 0.18/2.14 % (1416582)Success in time 1.073 s
% 0.18/2.14 % Vampire exiting
%------------------------------------------------------------------------------