%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET358+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:40:50 PM UTC 2026
% Result : Theorem 6.66s 1.97s
% Output : Refutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 96 ( 24 unt; 6 def)
% Number of atoms : 246 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 250 ( 100 ~; 123 |; 19 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 115 !; 7 ?)
% 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(f10,axiom,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X2,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).
fof(f12,conjecture,
! [X0,X1] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI37) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f16]) ).
fof(f19,plain,
? [X0,X1] : ~ equal_set(union(sum(X0),sum(X1)),sum(union(X0,X1))),
inference(ennf_transformation,[],[f13]) ).
fof(f20,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,[],[f15]) ).
fof(f21,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,[],[f20]) ).
fof(f22,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))],[f21]) ).
fof(f26,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(f27,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,[],[f26]) ).
fof(f33,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X2] :
( member(X2,X1)
& member(X0,X2) )
| ~ member(X0,sum(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& member(X0,X3) )
| ~ member(X0,sum(X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ( member(sK1(X0,X1),X1)
& member(X0,sK1(X0,X1)) )
| ~ member(X0,sum(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f34]) ).
fof(f39,plain,
~ equal_set(union(sum(sK3),sum(sK4)),sum(union(sK3,sK4))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f19]) ).
fof(f41,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X0,sum(X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
~ equal_set(union(sum(sK3),sum(sK4)),sum(union(sK3,sK4))),
inference(cnf_transformation,[],[f39]) ).
fof(f71,definition,
sF5 = sum(sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f72,plain,
sum(sK3) = sF5,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF6 = sum(sK4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f74,plain,
sum(sK4) = sF6,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF7 = union(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f76,plain,
union(sF5,sF6) = sF7,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF8 = union(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f78,plain,
union(sK3,sK4) = sF8,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF9 = sum(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f80,plain,
sum(sF8) = sF9,
inference(reorient_equations,[],[f79]) ).
fof(f81,plain,
~ equal_set(sF7,sF9),
inference(definition_folding,[],[f67,f80,f78,f76,f74,f72]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF7) ),
inference(superposition,[],[f51,f76]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sF8) ),
inference(superposition,[],[f51,f78]) ).
fof(f87,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f49,f76]) ).
fof(f88,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK4)
| member(X0,sK3) ),
inference(superposition,[],[f49,f78]) ).
fof(f95,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF7) ),
inference(superposition,[],[f50,f76]) ).
fof(f96,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF8) ),
inference(superposition,[],[f50,f78]) ).
fof(f98,plain,
! [X0] :
( member(sK0(sF7,X0),sF6)
| member(sK0(sF7,X0),sF5)
| subset(sF7,X0) ),
inference(resolution,[],[f87,f41]) ).
fof(f115,plain,
! [X0] :
( ~ member(X0,sum(sK3))
| member(sK1(X0,sK3),sF8) ),
inference(resolution,[],[f62,f83]) ).
fof(f116,plain,
! [X0] :
( ~ member(X0,sum(sK4))
| member(sK1(X0,sK4),sF8) ),
inference(resolution,[],[f62,f96]) ).
fof(f120,plain,
! [X0] :
( ~ member(X0,sum(sF8))
| member(sK1(X0,sF8),sK4)
| member(sK1(X0,sF8),sK3) ),
inference(resolution,[],[f62,f88]) ).
fof(f121,plain,
! [X0] :
( member(sK1(X0,sF8),sK4)
| ~ member(X0,sF9)
| member(sK1(X0,sF8),sK3) ),
inference(forward_demodulation,[],[f120,f80]) ).
fof(f122,plain,
! [X0] :
( member(sK1(X0,sK4),sF8)
| ~ member(X0,sF6) ),
inference(forward_demodulation,[],[f116,f74]) ).
fof(f123,plain,
! [X0] :
( member(sK1(X0,sK3),sF8)
| ~ member(X0,sF5) ),
inference(forward_demodulation,[],[f115,f72]) ).
fof(f132,plain,
! [X0,X1] :
( member(X0,sum(sK4))
| ~ member(X0,sK1(X1,sF8))
| ~ member(X1,sF9)
| member(sK1(X1,sF8),sK3) ),
inference(resolution,[],[f63,f121]) ).
fof(f133,plain,
! [X0,X1] :
( ~ member(X0,sK1(X1,sF8))
| member(X0,sF6)
| ~ member(X1,sF9)
| member(sK1(X1,sF8),sK3) ),
inference(forward_demodulation,[],[f132,f74]) ).
fof(f141,plain,
! [X0,X1] :
( ~ member(X0,sF5)
| member(X1,sum(sF8))
| ~ member(X1,sK1(X0,sK3)) ),
inference(resolution,[],[f123,f63]) ).
fof(f142,plain,
! [X0,X1] :
( ~ member(X1,sK1(X0,sK3))
| ~ member(X0,sF5)
| member(X1,sF9) ),
inference(forward_demodulation,[],[f141,f80]) ).
fof(f144,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF9)
| ~ member(X0,sum(sK3)) ),
inference(resolution,[],[f142,f61]) ).
fof(f146,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sF5)
| member(X0,sF9) ),
inference(forward_demodulation,[],[f144,f72]) ).
fof(f147,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF9) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f154,plain,
! [X0,X1] :
( ~ member(X0,sF6)
| member(X1,sum(sF8))
| ~ member(X1,sK1(X0,sK4)) ),
inference(resolution,[],[f122,f63]) ).
fof(f155,plain,
! [X0,X1] :
( ~ member(X1,sK1(X0,sK4))
| ~ member(X0,sF6)
| member(X1,sF9) ),
inference(forward_demodulation,[],[f154,f80]) ).
fof(f157,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF9)
| ~ member(X0,sum(sK4)) ),
inference(resolution,[],[f155,f61]) ).
fof(f159,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF6)
| member(X0,sF9) ),
inference(forward_demodulation,[],[f157,f74]) ).
fof(f160,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF9) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f161,plain,
! [X0] :
( member(sK0(sF7,X0),sF9)
| member(sK0(sF7,X0),sF5)
| subset(sF7,X0) ),
inference(resolution,[],[f160,f98]) ).
fof(f164,plain,
! [X0] :
( member(sK0(sF7,X0),sF9)
| subset(sF7,X0) ),
inference(forward_subsumption_resolution,[],[f161,f147]) ).
fof(f165,plain,
( subset(sF7,sF9)
| subset(sF7,sF9) ),
inference(resolution,[],[f164,f42]) ).
fof(f167,plain,
subset(sF7,sF9),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f174,definition,
( spl10_4
<=> subset(sF9,sF7) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f175,plain,
( subset(sF9,sF7)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( ~ subset(sF9,sF7)
| spl10_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f179,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF9)
| member(sK1(X0,sF8),sK3)
| ~ member(X0,sum(sF8)) ),
inference(resolution,[],[f133,f61]) ).
fof(f181,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF6)
| ~ member(X0,sF9)
| member(sK1(X0,sF8),sK3) ),
inference(forward_demodulation,[],[f179,f80]) ).
fof(f182,plain,
! [X0] :
( member(sK1(X0,sF8),sK3)
| member(X0,sF6)
| ~ member(X0,sF9) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f190,plain,
! [X0,X1] :
( member(X0,sF6)
| ~ member(X0,sF9)
| member(X1,sum(sK3))
| ~ member(X1,sK1(X0,sF8)) ),
inference(resolution,[],[f182,f63]) ).
fof(f191,plain,
! [X0,X1] :
( ~ member(X1,sK1(X0,sF8))
| member(X0,sF6)
| ~ member(X0,sF9)
| member(X1,sF5) ),
inference(forward_demodulation,[],[f190,f72]) ).
fof(f215,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF9)
| member(X0,sF5)
| ~ member(X0,sum(sF8)) ),
inference(resolution,[],[f191,f61]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF6)
| ~ member(X0,sF9)
| member(X0,sF5) ),
inference(forward_demodulation,[],[f215,f80]) ).
fof(f218,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF6)
| member(X0,sF5) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f220,plain,
! [X0] :
( member(sK0(sF9,X0),sF6)
| member(sK0(sF9,X0),sF5)
| subset(sF9,X0) ),
inference(resolution,[],[f218,f41]) ).
fof(f224,plain,
! [X0] :
( member(sK0(sF9,X0),sF5)
| subset(sF9,X0)
| member(sK0(sF9,X0),sF7) ),
inference(resolution,[],[f220,f95]) ).
fof(f228,plain,
! [X0] :
( member(sK0(sF9,X0),sF7)
| subset(sF9,X0) ),
inference(forward_subsumption_resolution,[],[f224,f82]) ).
fof(f238,plain,
( subset(sF9,sF7)
| subset(sF9,sF7) ),
inference(resolution,[],[f228,f42]) ).
fof(f242,plain,
subset(sF9,sF7),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f243,plain,
( $false
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f242,f176]) ).
fof(f244,plain,
spl10_4,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f245,plain,
( ~ subset(sF7,sF9)
| equal_set(sF7,sF9)
| ~ spl10_4 ),
inference(resolution,[],[f175,f43]) ).
fof(f246,plain,
( equal_set(sF7,sF9)
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f245,f167]) ).
fof(f247,plain,
( $false
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f246,f81]) ).
fof(f248,plain,
~ spl10_4,
inference(avatar_contradiction_clause,[],[f247]) ).
cnf(s4,plain,
spl10_4,
inference(sat_conversion,[],[f244]) ).
cnf(s5,plain,
~ spl10_4,
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f249,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET358+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 % Computer : n011.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Mon Sep 28 01:33:46 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 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
% 6.66/1.97 % (2936582)Detected formulas, will run a generic FOF schedule.
% 6.66/1.97 % (2936589)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=2882523512:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.66/1.97 % (2936587)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=358326259:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.66/1.97 % (2936590)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=612470462:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.66/1.97 % (2936591)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3197119276:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.66/1.97 % (2936588)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=784162855:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.66/1.97 % (2936593)dis-21_1_sil=8000:lcm=predicate:random_seed=4199178769: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)
% 6.66/1.97 % (2936590)Refutation not found, incomplete strategy
% 6.66/1.97 % (2936590)------------------------------
% 6.66/1.97 % (2936590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936590)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936590)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.97 % (2936590)Time elapsed: 0.001 s
% 6.66/1.97 % (2936590)Peak memory usage: 87 MB
% 6.66/1.97 % (2936592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3118833423:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.66/1.97 % (2936591)Instruction limit reached!
% 6.66/1.97 % (2936591)------------------------------
% 6.66/1.97 % (2936591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936591)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936591)Termination reason: Instruction limit
% 6.66/1.97 % (2936591)Termination phase: Saturation
% 6.66/1.97 % (2936591)Time elapsed: 0.069 s
% 6.66/1.97 % (2936591)Peak memory usage: 88 MB
% 6.66/1.97 % (2936591)Instructions burned: 120 (million)
% 6.66/1.97 % (2936593)Instruction limit reached!
% 6.66/1.97 % (2936593)------------------------------
% 6.66/1.97 % (2936593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936593)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936593)Termination reason: Instruction limit
% 6.66/1.97 % (2936593)Termination phase: Saturation
% 6.66/1.97 % (2936593)Time elapsed: 0.076 s
% 6.66/1.97 % (2936593)Peak memory usage: 89 MB
% 6.66/1.97 % (2936593)Instructions burned: 131 (million)
% 6.66/1.97 % (2936592)Instruction limit reached!
% 6.66/1.97 % (2936592)------------------------------
% 6.66/1.97 % (2936592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936592)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936592)Termination reason: Instruction limit
% 6.66/1.97 % (2936592)Termination phase: Saturation
% 6.66/1.97 % (2936592)Time elapsed: 0.092 s
% 6.66/1.97 % (2936592)Peak memory usage: 89 MB
% 6.66/1.97 % (2936592)Instructions burned: 139 (million)
% 6.66/1.97 % (2936602)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2146982483:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.66/1.97 % (2936601)lrs+10_1_sil=8000:sp=occurrence:random_seed=734066810:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.66/1.97 % (2936602)Refutation not found, incomplete strategy
% 6.66/1.97 % (2936602)------------------------------
% 6.66/1.97 % (2936602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936602)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936602)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.97 % (2936602)Time elapsed: 0.001 s
% 6.66/1.97 % (2936602)Peak memory usage: 88 MB
% 6.66/1.97 % (2936590)------------------------------
% 6.66/1.97 % (2936590)------------------------------
% 6.66/1.97 % (2936603)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1475506767:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.66/1.97 % (2936603)Refutation not found, incomplete strategy
% 6.66/1.97 % (2936603)------------------------------
% 6.66/1.97 % (2936603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936603)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936603)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.97 % (2936603)Time elapsed: 0.001 s
% 6.66/1.97 % (2936603)Peak memory usage: 88 MB
% 6.66/1.97 % (2936589)Refutation not found, incomplete strategy
% 6.66/1.97 % (2936589)------------------------------
% 6.66/1.97 % (2936589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936589)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936589)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.97 % (2936589)Time elapsed: 0.316 s
% 6.66/1.97 % (2936589)Peak memory usage: 127 MB
% 6.66/1.97 % (2936589)Instructions burned: 828 (million)
% 6.66/1.97 % (2936601)Instruction limit reached!
% 6.66/1.97 % (2936601)------------------------------
% 6.66/1.97 % (2936601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936601)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936601)Termination reason: Instruction limit
% 6.66/1.97 % (2936601)Termination phase: Saturation
% 6.66/1.97 % (2936601)Time elapsed: 0.173 s
% 6.66/1.97 % (2936601)Peak memory usage: 91 MB
% 6.66/1.97 % (2936601)Instructions burned: 286 (million)
% 6.66/1.97 % (2936589)------------------------------
% 6.66/1.97 % (2936589)------------------------------
% 6.66/1.97 % (2936607)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=805776833:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.66/1.97 % (2936602)------------------------------
% 6.66/1.97 % (2936602)------------------------------
% 6.66/1.97 % (2936603)------------------------------
% 6.66/1.97 % (2936603)------------------------------
% 6.66/1.97 % (2936610)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1621490630:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.66/1.97 % (2936607)Instruction limit reached!
% 6.66/1.97 % (2936607)------------------------------
% 6.66/1.97 % (2936607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936607)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936607)Termination reason: Instruction limit
% 6.66/1.97 % (2936607)Termination phase: Saturation
% 6.66/1.97 % (2936607)Time elapsed: 0.135 s
% 6.66/1.97 % (2936607)Peak memory usage: 92 MB
% 6.66/1.97 % (2936607)Instructions burned: 249 (million)
% 6.66/1.97 % (2936608)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2409787934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.66/1.97 % (2936608)Refutation not found, incomplete strategy
% 6.66/1.97 % (2936608)------------------------------
% 6.66/1.97 % (2936608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936608)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936608)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.97 % (2936608)Time elapsed: 0.001 s
% 6.66/1.97 % (2936608)Peak memory usage: 88 MB
% 6.66/1.97 % (2936612)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4069344257:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.66/1.97 % (2936611)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=362375156:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.66/1.97 % (2936587)First to succeed.
% 6.66/1.97 % (2936587)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2936582"
% 6.66/1.97 % (2936611)Also succeeded, but the first one will report.
% 6.66/1.97 % (2936612)Instruction limit reached!
% 6.66/1.97 % (2936612)------------------------------
% 6.66/1.97 % (2936612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936612)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936612)Termination reason: Instruction limit
% 6.66/1.97 % (2936612)Termination phase: Saturation
% 6.66/1.97 % (2936612)Time elapsed: 0.059 s
% 6.66/1.97 % (2936612)Peak memory usage: 88 MB
% 6.66/1.97 % (2936612)Instructions burned: 128 (million)
% 6.66/1.97 % (2936614)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2775373557:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.66/1.97 % (2936614)Instruction limit reached!
% 6.66/1.97 % (2936614)------------------------------
% 6.66/1.97 % (2936614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.97 % (2936614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.97 % (2936614)CaDiCaL version: 2.1.3
% 6.66/1.97 % (2936614)Termination reason: Instruction limit
% 6.66/1.97 % (2936614)Termination phase: Saturation
% 6.66/1.97 % (2936614)Time elapsed: 0.066 s
% 6.66/1.97 % (2936614)Peak memory usage: 89 MB
% 6.66/1.97 % (2936614)Instructions burned: 114 (million)
% 6.66/1.97 % (2936608)------------------------------
% 6.66/1.97 % (2936608)------------------------------
% 6.66/1.97 % (2936619)lrs+10_1_sil=8000:sp=occurrence:random_seed=431954850:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.66/1.97 % (2936610)Also succeeded, but the first one will report.
% 6.66/1.97 % (2936587)Refutation found. Thanks to Tanya!
% 6.66/1.97 % SZS status Theorem for theBenchmark
% 6.66/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.33/2.17 % (2936587)------------------------------
% 8.33/2.17 % (2936587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.17 % (2936587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.17 % (2936587)CaDiCaL version: 2.1.3
% 8.33/2.17 % (2936587)Termination reason: Refutation
% 8.33/2.17 % (2936587)Time elapsed: 0.654 s
% 8.33/2.17 % (2936587)Peak memory usage: 128 MB
% 8.33/2.17 % (2936587)Instructions burned: 959 (million)
% 8.33/2.17 % (2936587)------------------------------
% 8.33/2.17 % (2936587)------------------------------
% 8.33/2.17 % (2936582)Success in time 1.093 s
% 8.33/2.17 % Vampire exiting
%------------------------------------------------------------------------------