%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET944+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:45:03 PM UTC 2026
% Result : Theorem 20.25s 5.26s
% Output : Refutation 20.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 19 unt; 5 def)
% Number of atoms : 242 ( 32 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 291 ( 118 ~; 123 |; 43 &)
% ( 6 <=>; 1 =>; 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 : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 139 ( 125 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f5,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(f10,conjecture,
! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_zfmisc_1) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f16,plain,
? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(ennf_transformation,[],[f11]) ).
fof(f17,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,[],[f15]) ).
fof(f18,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,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f22]) ).
fof(f24,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,[],[f5]) ).
fof(f25,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,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK2(X0,X1),sK3(X0,X1))
& in(sK3(X0,X1),X0) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK4(X0,X5))
& in(sK4(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f25]) ).
fof(f29,plain,
~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f16]) ).
fof(f33,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X5,X6)
| ~ in(X6,X0)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f37]) ).
fof(f53,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f36]) ).
fof(f54,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f35]) ).
fof(f55,plain,
! [X0,X6,X5] :
( ~ in(X6,X0)
| ~ in(X5,X6)
| in(X5,union(X0)) ),
inference(equality_resolution,[],[f43]) ).
fof(f56,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f42]) ).
fof(f57,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f41]) ).
fof(f58,definition,
sF9 = set_intersection2(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f59,plain,
set_intersection2(sK7,sK8) = sF9,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF10 = union(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f61,plain,
union(sF9) = sF10,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF11 = union(sK7),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f63,plain,
union(sK7) = sF11,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF12 = union(sK8),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f65,plain,
union(sK8) = sF12,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF13 = set_intersection2(sF11,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f67,plain,
set_intersection2(sF11,sF12) = sF13,
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
~ subset(sF10,sF13),
inference(definition_folding,[],[f51,f67,f65,f63,f61,f59]) ).
fof(f76,plain,
! [X0] :
( ~ in(X0,sF9)
| in(X0,sK7) ),
inference(superposition,[],[f53,f59]) ).
fof(f82,plain,
! [X0] :
( ~ in(X0,sF9)
| in(X0,sK8) ),
inference(superposition,[],[f54,f59]) ).
fof(f92,plain,
! [X0] :
( ~ in(X0,union(sF9))
| in(sK4(sF9,X0),sK8) ),
inference(resolution,[],[f57,f82]) ).
fof(f93,plain,
! [X0] :
( ~ in(X0,union(sF9))
| in(sK4(sF9,X0),sK7) ),
inference(resolution,[],[f57,f76]) ).
fof(f95,plain,
! [X0] :
( in(sK4(sF9,X0),sK7)
| ~ in(X0,sF10) ),
inference(forward_demodulation,[],[f93,f61]) ).
fof(f96,plain,
! [X0] :
( in(sK4(sF9,X0),sK8)
| ~ in(X0,sF10) ),
inference(forward_demodulation,[],[f92,f61]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ in(sK0(X0,set_intersection2(X1,X2)),X2)
| ~ in(sK0(X0,set_intersection2(X1,X2)),X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(resolution,[],[f52,f34]) ).
fof(f192,plain,
! [X0,X1] :
( ~ in(X0,sF10)
| ~ in(X1,sK4(sF9,X0))
| in(X1,union(sK7)) ),
inference(resolution,[],[f95,f55]) ).
fof(f194,plain,
! [X0,X1] :
( ~ in(X1,sK4(sF9,X0))
| ~ in(X0,sF10)
| in(X1,sF11) ),
inference(forward_demodulation,[],[f192,f63]) ).
fof(f246,plain,
! [X0,X1] :
( ~ in(X0,sF10)
| ~ in(X1,sK4(sF9,X0))
| in(X1,union(sK8)) ),
inference(resolution,[],[f96,f55]) ).
fof(f248,plain,
! [X0,X1] :
( ~ in(X1,sK4(sF9,X0))
| ~ in(X0,sF10)
| in(X1,sF12) ),
inference(forward_demodulation,[],[f246,f65]) ).
fof(f510,plain,
! [X0] :
( ~ in(sK0(X0,sF13),sF12)
| ~ in(sK0(X0,sF13),sF11)
| subset(X0,sF13) ),
inference(superposition,[],[f106,f67]) ).
fof(f2732,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sF11)
| ~ in(X0,union(sF9)) ),
inference(resolution,[],[f194,f56]) ).
fof(f2779,plain,
! [X0] :
( ~ in(X0,sF10)
| ~ in(X0,sF10)
| in(X0,sF11) ),
inference(forward_demodulation,[],[f2732,f61]) ).
fof(f2780,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sF11) ),
inference(duplicate_literal_removal,[],[f2779]) ).
fof(f2815,plain,
! [X0] :
( in(sK0(sF10,X0),sF11)
| subset(sF10,X0) ),
inference(resolution,[],[f2780,f33]) ).
fof(f3698,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sF12)
| ~ in(X0,union(sF9)) ),
inference(resolution,[],[f248,f56]) ).
fof(f3755,plain,
! [X0] :
( ~ in(X0,sF10)
| ~ in(X0,sF10)
| in(X0,sF12) ),
inference(forward_demodulation,[],[f3698,f61]) ).
fof(f3756,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sF12) ),
inference(duplicate_literal_removal,[],[f3755]) ).
fof(f3819,plain,
! [X0] :
( in(sK0(sF10,X0),sF12)
| subset(sF10,X0) ),
inference(resolution,[],[f3756,f33]) ).
fof(f4207,plain,
( subset(sF10,sF13)
| ~ in(sK0(sF10,sF13),sF11)
| subset(sF10,sF13) ),
inference(resolution,[],[f3819,f510]) ).
fof(f4218,plain,
( subset(sF10,sF13)
| ~ in(sK0(sF10,sF13),sF11) ),
inference(duplicate_literal_removal,[],[f4207]) ).
fof(f4221,plain,
~ in(sK0(sF10,sF13),sF11),
inference(forward_subsumption_resolution,[],[f4218,f68]) ).
fof(f4284,plain,
subset(sF10,sF13),
inference(resolution,[],[f4221,f2815]) ).
fof(f4285,plain,
$false,
inference(forward_subsumption_resolution,[],[f4284,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET944+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n005.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 03:15:32 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.29/4.17 % (397227)Will run a generic schedule for satisfiability detection.
% 26.29/4.17 % (397238)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3184842370:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.29/4.17 % (397233)% WARNING: option uhcvi not known.
% 26.29/4.17 % (397234)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=592205211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.29/4.17 % (397232)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2242478640_2999 on theBenchmark for (2999ds/0Mi)
% 26.29/4.17 % (397237)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2886566724:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.29/4.17 % (397233)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2476235455:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.29/4.17 % (397235)dis+10_1_sil=32000:sp=arity:random_seed=100726642:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.29/4.17 % (397236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=97222105:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.29/4.17 % TRYING [1]
% 26.29/4.17 % TRYING [2]
% 26.29/4.17 % TRYING [3]
% 26.29/4.17 % TRYING [4]
% 26.29/4.17 % TRYING [5]
% 26.29/4.17 % (397238)Instruction limit reached!
% 26.29/4.17 % (397238)------------------------------
% 26.29/4.17 % (397238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.17 % (397238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.17 % (397238)CaDiCaL version: 2.1.3
% 26.29/4.17 % (397238)Termination reason: Instruction limit
% 26.29/4.17 % (397238)Termination phase: Saturation
% 26.29/4.17 % (397238)Time elapsed: 0.058 s
% 26.29/4.17 % (397238)Peak memory usage: 13 MB
% 26.29/4.17 % (397238)Instructions burned: 161 (million)
% 26.29/4.17 % TRYING [6]
% 26.29/4.17 % (397235)Instruction limit reached!
% 26.29/4.17 % (397235)------------------------------
% 26.29/4.17 % (397235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.17 % (397235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.17 % (397235)CaDiCaL version: 2.1.3
% 26.29/4.17 % (397235)Termination reason: Instruction limit
% 26.29/4.17 % (397235)Termination phase: Saturation
% 26.29/4.17 % (397235)Time elapsed: 0.060 s
% 26.29/4.17 % (397235)Peak memory usage: 12 MB
% 26.29/4.17 % (397235)Instructions burned: 104 (million)
% 26.29/4.17 % (397246)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3418686361:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.29/4.17 % TRYING [1]
% 26.29/4.17 % TRYING [2]
% 26.29/4.17 % TRYING [3]
% 26.29/4.17 % TRYING [4]
% 26.29/4.17 % (397236)Instruction limit reached!
% 26.29/4.17 % (397236)------------------------------
% 26.29/4.17 % (397236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.17 % (397236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.17 % (397236)CaDiCaL version: 2.1.3
% 26.29/4.17 % (397236)Termination reason: Instruction limit
% 26.29/4.17 % (397236)Termination phase: Saturation
% 26.29/4.17 % (397236)Time elapsed: 0.068 s
% 26.29/4.17 % (397236)Peak memory usage: 12 MB
% 26.29/4.17 % (397236)Instructions burned: 117 (million)
% 26.29/4.17 % (397237)Instruction limit reached!
% 26.29/4.17 % (397237)------------------------------
% 26.29/4.17 % (397237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.17 % (397237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.17 % (397237)CaDiCaL version: 2.1.3
% 26.29/4.17 % (397237)Termination reason: Instruction limit
% 26.29/4.17 % (397237)Termination phase: Saturation
% 26.29/4.17 % (397237)Time elapsed: 0.073 s
% 26.29/4.17 % (397237)Peak memory usage: 12 MB
% 26.29/4.17 % (397237)Instructions burned: 131 (million)
% 26.29/4.17 % (397248)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=179519167:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.29/4.17 % (397249)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1565587898:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.29/4.17 % (397250)ott-21_1_sil=16000:fs=off:random_seed=82967291:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.29/4.17 % TRYING [5]
% 26.29/4.17 % (397248)Instruction limit reached!
% 26.29/4.17 % (397248)------------------------------
% 26.29/4.17 % (397248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.17 % (397248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397248)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397248)Termination reason: Instruction limit
% 20.25/5.26 % (397248)Termination phase: Saturation
% 20.25/5.26 % (397248)Time elapsed: 0.082 s
% 20.25/5.26 % (397248)Peak memory usage: 13 MB
% 20.25/5.26 % (397248)Instructions burned: 132 (million)
% 20.25/5.26 % (397254)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3197452952:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.25/5.26 % (397250)Instruction limit reached!
% 20.25/5.26 % (397250)------------------------------
% 20.25/5.26 % (397250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397250)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397250)Termination reason: Instruction limit
% 20.25/5.26 % (397250)Termination phase: Saturation
% 20.25/5.26 % (397250)Time elapsed: 0.094 s
% 20.25/5.26 % (397250)Peak memory usage: 13 MB
% 20.25/5.26 % (397250)Instructions burned: 182 (million)
% 20.25/5.26 % TRYING [7]
% 20.25/5.26 % (397256)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1543644333:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.25/5.26 % TRYING [1]
% 20.25/5.26 % TRYING [2]
% 20.25/5.26 % TRYING [3]
% 20.25/5.26 % TRYING [4]
% 20.25/5.26 % TRYING [5]
% 20.25/5.26 % (397246)Instruction limit reached!
% 20.25/5.26 % (397246)------------------------------
% 20.25/5.26 % (397246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397246)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397246)Termination reason: Instruction limit
% 20.25/5.26 % (397246)Termination phase: Finite model building SAT solving
% 20.25/5.26 % (397246)Time elapsed: 0.211 s
% 20.25/5.26 % (397246)Peak memory usage: 15 MB
% 20.25/5.26 % (397246)Instructions burned: 715 (million)
% 20.25/5.26 % (397258)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=975917454:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 20.25/5.26 % TRYING [6]
% 20.25/5.26 % TRYING [7]
% 20.25/5.26 % TRYING [8]
% 20.25/5.26 % (397249)Instruction limit reached!
% 20.25/5.26 % (397249)------------------------------
% 20.25/5.26 % (397249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397249)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397249)Termination reason: Instruction limit
% 20.25/5.26 % (397249)Termination phase: Saturation
% 20.25/5.26 % (397249)Time elapsed: 0.371 s
% 20.25/5.26 % (397249)Peak memory usage: 16 MB
% 20.25/5.26 % (397249)Instructions burned: 684 (million)
% 20.25/5.26 % (397260)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2957550866:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 20.25/5.26 % (397254)Instruction limit reached!
% 20.25/5.26 % (397254)------------------------------
% 20.25/5.26 % (397254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397254)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397254)Termination reason: Instruction limit
% 20.25/5.26 % (397254)Termination phase: Saturation
% 20.25/5.26 % (397254)Time elapsed: 0.316 s
% 20.25/5.26 % (397254)Peak memory usage: 14 MB
% 20.25/5.26 % (397254)Instructions burned: 477 (million)
% 20.25/5.26 % TRYING [14]
% 20.25/5.26 % (397262)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3925369173:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 20.25/5.26 % (397256)Instruction limit reached!
% 20.25/5.26 % (397256)------------------------------
% 20.25/5.26 % (397256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397256)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397256)Termination reason: Instruction limit
% 20.25/5.26 % (397256)Termination phase: Finite model building SAT solving
% 20.25/5.26 % (397256)Time elapsed: 0.391 s
% 20.25/5.26 % (397256)Peak memory usage: 18 MB
% 20.25/5.26 % (397256)Instructions burned: 866 (million)
% 20.25/5.26 % (397264)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3485125891:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 20.25/5.26 % (397258)Instruction limit reached!
% 20.25/5.26 % (397258)------------------------------
% 20.25/5.26 % (397258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397258)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397258)Termination reason: Instruction limit
% 20.25/5.26 % (397258)Termination phase: Saturation
% 20.25/5.26 % (397258)Time elapsed: 0.356 s
% 20.25/5.26 % (397258)Peak memory usage: 21 MB
% 20.25/5.26 % (397258)Instructions burned: 1180 (million)
% 20.25/5.26 % (397266)fmb+10_1_sil=64000:random_seed=355165829:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.25/5.26 % TRYING [1]
% 20.25/5.26 % TRYING [2]
% 20.25/5.26 % TRYING [3]
% 20.25/5.26 % TRYING [4]
% 20.25/5.26 % TRYING [5]
% 20.25/5.26 % TRYING [6]
% 20.25/5.26 % TRYING [7]
% 20.25/5.26 % (397260)Instruction limit reached!
% 20.25/5.26 % (397260)------------------------------
% 20.25/5.26 % (397260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397260)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397260)Termination reason: Instruction limit
% 20.25/5.26 % (397260)Termination phase: Finite model building constraint generation
% 20.25/5.26 % (397260)Time elapsed: 0.372 s
% 20.25/5.26 % (397260)Peak memory usage: 69 MB
% 20.25/5.26 % (397260)Instructions burned: 889 (million)
% 20.25/5.26 % (397268)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=292063462:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 20.25/5.26 % TRYING [20]
% 20.25/5.26 % TRYING [8]
% 20.25/5.26 % (397262)Instruction limit reached!
% 20.25/5.26 % (397262)------------------------------
% 20.25/5.26 % (397262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397262)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397262)Termination reason: Instruction limit
% 20.25/5.26 % (397262)Termination phase: Saturation
% 20.25/5.26 % (397262)Time elapsed: 0.423 s
% 20.25/5.26 % (397262)Peak memory usage: 16 MB
% 20.25/5.26 % (397262)Instructions burned: 693 (million)
% 20.25/5.26 % (397270)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3664481741:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 20.25/5.26 % TRYING [8]
% 20.25/5.26 % (397264)Instruction limit reached!
% 20.25/5.26 % (397264)------------------------------
% 20.25/5.26 % (397264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397264)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397264)Termination reason: Instruction limit
% 20.25/5.26 % (397264)Termination phase: Saturation
% 20.25/5.26 % (397264)Time elapsed: 0.497 s
% 20.25/5.26 % (397264)Peak memory usage: 19 MB
% 20.25/5.26 % (397264)Instructions burned: 880 (million)
% 20.25/5.26 % (397272)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=23743126:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 20.25/5.26 % (397270)Instruction limit reached!
% 20.25/5.26 % (397270)------------------------------
% 20.25/5.26 % (397270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397270)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397270)Termination reason: Instruction limit
% 20.25/5.26 % (397270)Termination phase: Finite model building SAT solving
% 20.25/5.26 % (397270)Time elapsed: 0.490 s
% 20.25/5.26 % (397270)Peak memory usage: 35 MB
% 20.25/5.26 % (397270)Instructions burned: 921 (million)
% 20.25/5.26 % (397274)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2152563765:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 20.25/5.26 % TRYING [9]
% 20.25/5.26 % TRYING [9]
% 20.25/5.26 % (397274)Instruction limit reached!
% 20.25/5.26 % (397274)------------------------------
% 20.25/5.26 % (397274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397274)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397274)Termination reason: Instruction limit
% 20.25/5.26 % (397274)Termination phase: Saturation
% 20.25/5.26 % (397274)Time elapsed: 0.785 s
% 20.25/5.26 % (397274)Peak memory usage: 29 MB
% 20.25/5.26 % (397274)Instructions burned: 1472 (million)
% 20.25/5.26 % (397276)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1621601703:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 20.25/5.26 % TRYING [77]
% 20.25/5.26 % TRYING [10]
% 20.25/5.26 % (397272)Instruction limit reached!
% 20.25/5.26 % (397272)------------------------------
% 20.25/5.26 % (397272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397272)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397272)Termination reason: Instruction limit
% 20.25/5.26 % (397272)Termination phase: Saturation
% 20.25/5.26 % (397272)Time elapsed: 2.555 s
% 20.25/5.26 % (397272)Peak memory usage: 23 MB
% 20.25/5.26 % (397272)Instructions burned: 5133 (million)
% 20.25/5.26 % (397278)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2816857739:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 20.25/5.26 % TRYING [16]
% 20.25/5.26 % (397278)Instruction limit reached!
% 20.25/5.26 % (397278)------------------------------
% 20.25/5.26 % (397278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397278)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397278)Termination reason: Instruction limit
% 20.25/5.26 % (397278)Termination phase: Finite model building constraint generation
% 20.25/5.26 % (397278)Time elapsed: 0.743 s
% 20.25/5.26 % (397278)Peak memory usage: 138 MB
% 20.25/5.26 % (397278)Instructions burned: 2174 (million)
% 20.25/5.26 % (397276)Instruction limit reached!
% 20.25/5.26 % (397276)------------------------------
% 20.25/5.26 % (397276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397276)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397276)Termination reason: Instruction limit
% 20.25/5.26 % (397276)Termination phase: Finite model building constraint generation
% 20.25/5.26 % (397276)Time elapsed: 2.189 s
% 20.25/5.26 % (397276)Peak memory usage: 411 MB
% 20.25/5.26 % (397276)Instructions burned: 6326 (million)
% 20.25/5.26 % (397280)ott-2_1_sil=16000:newcnf=on:random_seed=745416586:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 20.25/5.26 % (397282)ott+10_1_sil=32000:tgt=ground:random_seed=3246196994:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 20.25/5.26 % (397282) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-397227-397282"...
% 20.25/5.26 % (397282)...printing done.
% 20.25/5.26 % (397282)Refutation found. Thanks to Tanya!
% 20.25/5.26 % SZS status Theorem for theBenchmark
% 20.25/5.26 % SZS output start Proof for theBenchmark
% See solution above
% 20.25/5.26 % (397282)------------------------------
% 20.25/5.26 % (397282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/5.26 % (397282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/5.26 % (397282)CaDiCaL version: 2.1.3
% 20.25/5.26 % (397282)Termination reason: Refutation
% 20.25/5.26 % (397282)Time elapsed: 0.167 s
% 20.25/5.26 % (397282)Peak memory usage: 14 MB
% 20.25/5.26 % (397282)Instructions burned: 293 (million)
% 20.25/5.26 % (397227)Success in time 4.816 s
% 20.25/5.26 % Vampire exiting
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