%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET159+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:43:18 PM UTC 2026
% Result : Theorem 21.76s 3.55s
% Output : Refutation 21.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 22 unt; 4 def)
% Number of atoms : 194 ( 36 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 189 ( 68 ~; 96 |; 19 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 98 ( 91 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f3,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f7,conjecture,
! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_union) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] : union(union(X0,X1),X2) = union(X0,union(X1,X2)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
? [X0,X1,X2] : union(union(X0,X1),X2) != union(X0,union(X1,X2)),
inference(ennf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f11]) ).
fof(f15,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,[],[f9]) ).
fof(f16,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,[],[f15]) ).
fof(f17,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))],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f19]) ).
fof(f21,plain,
union(union(sK2,sK3),sK4) != union(sK2,union(sK3,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f10]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f36,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| X0 = X1
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
union(union(sK2,sK3),sK4) != union(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f21]) ).
fof(f42,definition,
sF5 = union(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
union(sK2,sK3) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = union(sF5,sK4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
union(sF5,sK4) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF7 = union(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f47,plain,
union(sK3,sK4) = sF7,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF8 = union(sK2,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f49,plain,
union(sK2,sF7) = sF8,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
sF6 != sF8,
inference(definition_folding,[],[f37,f49,f47,f45,f43]) ).
fof(f51,plain,
sF6 = union(sK4,sF5),
inference(forward_demodulation,[],[f45,f28]) ).
fof(f54,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sF5) ),
inference(superposition,[],[f23,f43]) ).
fof(f55,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8) ),
inference(superposition,[],[f23,f49]) ).
fof(f56,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF7) ),
inference(superposition,[],[f23,f47]) ).
fof(f60,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF5) ),
inference(superposition,[],[f24,f43]) ).
fof(f61,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF8) ),
inference(superposition,[],[f24,f49]) ).
fof(f62,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sF7) ),
inference(superposition,[],[f24,f47]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f31,f23]) ).
fof(f81,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK3)
| member(X0,sK2) ),
inference(superposition,[],[f22,f43]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7)
| member(X0,sK2) ),
inference(superposition,[],[f22,f49]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK4)
| member(X0,sK3) ),
inference(superposition,[],[f22,f47]) ).
fof(f84,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF5)
| member(X0,sK4) ),
inference(superposition,[],[f22,f51]) ).
fof(f85,plain,
! [X0] :
( member(sK0(sK3,X0),sF7)
| subset(sK3,X0) ),
inference(resolution,[],[f62,f30]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X1)
| ~ member(sK1(X0,union(X1,X2)),X0)
| union(X1,X2) = X0 ),
inference(resolution,[],[f36,f24]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X2)
| ~ member(sK1(X0,union(X1,X2)),X0)
| union(X1,X2) = X0 ),
inference(resolution,[],[f36,f23]) ).
fof(f129,plain,
! [X0] :
( member(sK1(X0,sF6),sF5)
| member(sK1(X0,sF6),X0)
| member(sK1(X0,sF6),sK4)
| sF6 = X0 ),
inference(resolution,[],[f84,f35]) ).
fof(f163,plain,
! [X0] :
( ~ member(sK0(X0,sF8),sF7)
| subset(X0,sF8) ),
inference(superposition,[],[f69,f49]) ).
fof(f231,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sK4)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f107,f51]) ).
fof(f241,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sF5)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f108,f51]) ).
fof(f498,plain,
( subset(sK3,sF8)
| subset(sK3,sF8) ),
inference(resolution,[],[f163,f85]) ).
fof(f505,plain,
subset(sK3,sF8),
inference(duplicate_literal_removal,[],[f498]) ).
fof(f507,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sF8) ),
inference(resolution,[],[f505,f29]) ).
fof(f1830,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK4)
| sF6 = sF8
| member(sK1(sF8,sF6),sF7)
| member(sK1(sF8,sF6),sK2) ),
inference(resolution,[],[f129,f82]) ).
fof(f1836,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK4)
| sF6 = sF8
| member(sK1(sF8,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f1830,f60]) ).
fof(f1838,plain,
( member(sK1(sF8,sF6),sF5)
| sF6 = sF8
| member(sK1(sF8,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f1836,f56]) ).
fof(f1839,plain,
( member(sK1(sF8,sF6),sF7)
| member(sK1(sF8,sF6),sF5) ),
inference(forward_subsumption_resolution,[],[f1838,f50]) ).
fof(f1840,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK4)
| member(sK1(sF8,sF6),sK3) ),
inference(resolution,[],[f1839,f83]) ).
fof(f1841,plain,
( member(sK1(sF8,sF6),sF8)
| member(sK1(sF8,sF6),sF5) ),
inference(resolution,[],[f1839,f55]) ).
fof(f1842,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK4) ),
inference(forward_subsumption_resolution,[],[f1840,f54]) ).
fof(f1997,plain,
( member(sK1(sF8,sF6),sK4)
| ~ member(sK1(sF8,sF6),sF8)
| sF6 = sF8 ),
inference(resolution,[],[f1842,f241]) ).
fof(f2001,plain,
( ~ member(sK1(sF8,sF6),sF8)
| sF6 = sF8 ),
inference(forward_subsumption_resolution,[],[f1997,f231]) ).
fof(f2002,plain,
~ member(sK1(sF8,sF6),sF8),
inference(forward_subsumption_resolution,[],[f2001,f50]) ).
fof(f2147,plain,
member(sK1(sF8,sF6),sF5),
inference(resolution,[],[f2002,f1841]) ).
fof(f2225,plain,
( member(sK1(sF8,sF6),sK3)
| member(sK1(sF8,sF6),sK2) ),
inference(resolution,[],[f2147,f81]) ).
fof(f2620,plain,
( member(sK1(sF8,sF6),sK2)
| member(sK1(sF8,sF6),sF8) ),
inference(resolution,[],[f2225,f507]) ).
fof(f2623,plain,
member(sK1(sF8,sF6),sF8),
inference(forward_subsumption_resolution,[],[f2620,f61]) ).
fof(f2624,plain,
$false,
inference(forward_subsumption_resolution,[],[f2623,f2002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET159+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 00:56:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.67/2.58 % (3493925)Will run a generic schedule for satisfiability detection.
% 14.67/2.58 % (3493936)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1934785806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.67/2.58 % (3493931)% WARNING: option uhcvi not known.
% 14.67/2.58 % (3493930)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3543702919_2999 on theBenchmark for (2999ds/0Mi)
% 14.67/2.58 % (3493932)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2250488130:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.67/2.58 % (3493931)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1231190632:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.67/2.58 % (3493934)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1934852954:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.67/2.58 % (3493935)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=50415863:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.67/2.58 % (3493933)dis+10_1_sil=32000:sp=arity:random_seed=3264250327:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.67/2.58 % TRYING [1]
% 14.67/2.58 % TRYING [2]
% 14.67/2.58 % TRYING [3]
% 14.67/2.58 % TRYING [4]
% 14.67/2.58 % (3493936)Instruction limit reached!
% 14.67/2.58 % (3493936)------------------------------
% 14.67/2.58 % (3493936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.58 % (3493936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.58 % (3493936)CaDiCaL version: 2.1.3
% 14.67/2.58 % (3493936)Termination reason: Instruction limit
% 14.67/2.58 % (3493936)Termination phase: Saturation
% 14.67/2.58 % (3493936)Time elapsed: 0.049 s
% 14.67/2.58 % (3493936)Peak memory usage: 12 MB
% 14.67/2.58 % (3493936)Instructions burned: 159 (million)
% 14.67/2.58 % (3493944)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1666722259:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.67/2.58 % TRYING [1]
% 14.67/2.58 % TRYING [2]
% 14.67/2.58 % TRYING [3]
% 14.67/2.58 % TRYING [4]
% 14.67/2.58 % (3493933)Instruction limit reached!
% 14.67/2.58 % (3493933)------------------------------
% 14.67/2.58 % (3493933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.58 % (3493933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.58 % (3493933)CaDiCaL version: 2.1.3
% 14.67/2.58 % (3493933)Termination reason: Instruction limit
% 14.67/2.58 % (3493933)Termination phase: Saturation
% 14.67/2.58 % (3493933)Time elapsed: 0.059 s
% 14.67/2.58 % (3493933)Peak memory usage: 12 MB
% 14.67/2.58 % (3493933)Instructions burned: 103 (million)
% 14.67/2.58 % TRYING [5]
% 14.67/2.58 % (3493934)Instruction limit reached!
% 14.67/2.58 % (3493934)------------------------------
% 14.67/2.58 % (3493934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.58 % (3493934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.58 % (3493934)CaDiCaL version: 2.1.3
% 14.67/2.58 % (3493934)Termination reason: Instruction limit
% 14.67/2.58 % (3493934)Termination phase: Saturation
% 14.67/2.58 % (3493934)Time elapsed: 0.062 s
% 14.67/2.58 % (3493934)Peak memory usage: 12 MB
% 14.67/2.58 % (3493934)Instructions burned: 116 (million)
% 14.67/2.58 % (3493935)Instruction limit reached!
% 14.67/2.58 % (3493935)------------------------------
% 14.67/2.58 % (3493935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.58 % (3493935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.58 % (3493935)CaDiCaL version: 2.1.3
% 14.67/2.58 % (3493935)Termination reason: Instruction limit
% 14.67/2.58 % (3493935)Termination phase: Saturation
% 14.67/2.58 % (3493935)Time elapsed: 0.074 s
% 14.67/2.58 % (3493935)Peak memory usage: 12 MB
% 14.67/2.58 % (3493935)Instructions burned: 133 (million)
% 14.67/2.58 % (3493946)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=838190246:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.67/2.58 % (3493947)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=1269475086:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 14.67/2.58 % TRYING [5]
% 14.67/2.58 % (3493948)ott-21_1_sil=16000:fs=off:random_seed=4214334544:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.67/2.58 % (3493946)Instruction limit reached!
% 14.67/2.58 % (3493946)------------------------------
% 14.67/2.58 % (3493946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493946)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493946)Termination reason: Instruction limit
% 21.76/3.55 % (3493946)Termination phase: Saturation
% 21.76/3.55 % (3493946)Time elapsed: 0.077 s
% 21.76/3.55 % (3493946)Peak memory usage: 12 MB
% 21.76/3.55 % (3493946)Instructions burned: 133 (million)
% 21.76/3.55 % (3493952)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3265962216:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.76/3.55 % (3493948)Instruction limit reached!
% 21.76/3.55 % (3493948)------------------------------
% 21.76/3.55 % (3493948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493948)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493948)Termination reason: Instruction limit
% 21.76/3.55 % (3493948)Termination phase: Saturation
% 21.76/3.55 % (3493948)Time elapsed: 0.087 s
% 21.76/3.55 % (3493948)Peak memory usage: 13 MB
% 21.76/3.55 % (3493948)Instructions burned: 182 (million)
% 21.76/3.55 % (3493954)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4195868884:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.76/3.55 % TRYING [1]
% 21.76/3.55 % TRYING [2]
% 21.76/3.55 % TRYING [3]
% 21.76/3.55 % TRYING [4]
% 21.76/3.55 % TRYING [5]
% 21.76/3.55 % (3493944)Instruction limit reached!
% 21.76/3.55 % (3493944)------------------------------
% 21.76/3.55 % (3493944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493944)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493944)Termination reason: Instruction limit
% 21.76/3.55 % (3493944)Termination phase: Finite model building SAT solving
% 21.76/3.55 % (3493944)Time elapsed: 0.220 s
% 21.76/3.55 % (3493944)Peak memory usage: 13 MB
% 21.76/3.55 % (3493944)Instructions burned: 715 (million)
% 21.76/3.55 % (3493956)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3395548148:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.76/3.55 % (3493947)Instruction limit reached!
% 21.76/3.55 % (3493947)------------------------------
% 21.76/3.55 % (3493947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493947)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493947)Termination reason: Instruction limit
% 21.76/3.55 % (3493947)Termination phase: Saturation
% 21.76/3.55 % (3493947)Time elapsed: 0.377 s
% 21.76/3.55 % (3493947)Peak memory usage: 16 MB
% 21.76/3.55 % (3493947)Instructions burned: 685 (million)
% 21.76/3.55 % (3493952)Instruction limit reached!
% 21.76/3.55 % (3493952)------------------------------
% 21.76/3.55 % (3493952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493952)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493952)Termination reason: Instruction limit
% 21.76/3.55 % (3493952)Termination phase: Saturation
% 21.76/3.55 % (3493952)Time elapsed: 0.290 s
% 21.76/3.55 % (3493952)Peak memory usage: 14 MB
% 21.76/3.55 % (3493952)Instructions burned: 478 (million)
% 21.76/3.55 % TRYING [6]
% 21.76/3.55 % (3493958)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3102122659:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 21.76/3.55 % TRYING [14]
% 21.76/3.55 % (3493959)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=2619137872:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 21.76/3.55 % TRYING [6]
% 21.76/3.55 % (3493956)Instruction limit reached!
% 21.76/3.55 % (3493956)------------------------------
% 21.76/3.55 % (3493956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493956)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493956)Termination reason: Instruction limit
% 21.76/3.55 % (3493956)Termination phase: Saturation
% 21.76/3.55 % (3493956)Time elapsed: 0.327 s
% 21.76/3.55 % (3493956)Peak memory usage: 17 MB
% 21.76/3.55 % (3493956)Instructions burned: 1180 (million)
% 21.76/3.55 % (3493962)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3096640295:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 21.76/3.55 % (3493954)Instruction limit reached!
% 21.76/3.55 % (3493954)------------------------------
% 21.76/3.55 % (3493954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493954)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493954)Termination reason: Instruction limit
% 21.76/3.55 % (3493954)Termination phase: Finite model building SAT solving
% 21.76/3.55 % (3493954)Time elapsed: 0.500 s
% 21.76/3.55 % (3493954)Peak memory usage: 12 MB
% 21.76/3.55 % (3493954)Instructions burned: 866 (million)
% 21.76/3.55 % (3493964)fmb+10_1_sil=64000:random_seed=2841632198:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 21.76/3.55 % TRYING [1]
% 21.76/3.55 % TRYING [2]
% 21.76/3.55 % TRYING [3]
% 21.76/3.55 % TRYING [4]
% 21.76/3.55 % TRYING [5]
% 21.76/3.55 % (3493958)Instruction limit reached!
% 21.76/3.55 % (3493958)------------------------------
% 21.76/3.55 % (3493958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493958)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493958)Termination reason: Instruction limit
% 21.76/3.55 % (3493958)Termination phase: Finite model building SAT solving
% 21.76/3.55 % (3493958)Time elapsed: 0.319 s
% 21.76/3.55 % (3493958)Peak memory usage: 31 MB
% 21.76/3.55 % (3493958)Instructions burned: 890 (million)
% 21.76/3.55 % (3493966)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2896843986:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 21.76/3.55 % TRYING [20]
% 21.76/3.55 % (3493959)Instruction limit reached!
% 21.76/3.55 % (3493959)------------------------------
% 21.76/3.55 % (3493959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493959)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493959)Termination reason: Instruction limit
% 21.76/3.55 % (3493959)Termination phase: Saturation
% 21.76/3.55 % (3493959)Time elapsed: 0.372 s
% 21.76/3.55 % (3493959)Peak memory usage: 16 MB
% 21.76/3.55 % (3493959)Instructions burned: 692 (million)
% 21.76/3.55 % (3493968)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1813966229:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 21.76/3.55 % TRYING [8]
% 21.76/3.55 % (3493962)Instruction limit reached!
% 21.76/3.55 % (3493962)------------------------------
% 21.76/3.55 % (3493962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493962)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493962)Termination reason: Instruction limit
% 21.76/3.55 % (3493962)Termination phase: Saturation
% 21.76/3.55 % (3493962)Time elapsed: 0.262 s
% 21.76/3.55 % (3493962)Peak memory usage: 16 MB
% 21.76/3.55 % (3493962)Instructions burned: 881 (million)
% 21.76/3.55 % (3493970)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4061166098:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 21.76/3.55 % TRYING [6]
% 21.76/3.55 % (3493968)Instruction limit reached!
% 21.76/3.55 % (3493968)------------------------------
% 21.76/3.55 % (3493968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493968)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493968)Termination reason: Instruction limit
% 21.76/3.55 % (3493968)Termination phase: Finite model building SAT solving
% 21.76/3.55 % (3493968)Time elapsed: 0.453 s
% 21.76/3.55 % (3493968)Peak memory usage: 17 MB
% 21.76/3.55 % (3493968)Instructions burned: 920 (million)
% 21.76/3.55 % (3493972)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1524307628:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 21.76/3.55 % TRYING [7]
% 21.76/3.55 % (3493972)Instruction limit reached!
% 21.76/3.55 % (3493972)------------------------------
% 21.76/3.55 % (3493972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493972)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493972)Termination reason: Instruction limit
% 21.76/3.55 % (3493972)Termination phase: Saturation
% 21.76/3.55 % (3493972)Time elapsed: 0.746 s
% 21.76/3.55 % (3493972)Peak memory usage: 26 MB
% 21.76/3.55 % (3493972)Instructions burned: 1473 (million)
% 21.76/3.55 % (3493974)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4190256068:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 21.76/3.55 % TRYING [77]
% 21.76/3.55 % (3493970)Instruction limit reached!
% 21.76/3.55 % (3493970)------------------------------
% 21.76/3.55 % (3493970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493970)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493970)Termination reason: Instruction limit
% 21.76/3.55 % (3493970)Termination phase: Saturation
% 21.76/3.55 % (3493970)Time elapsed: 1.331 s
% 21.76/3.55 % (3493970)Peak memory usage: 23 MB
% 21.76/3.55 % (3493970)Instructions burned: 5132 (million)
% 21.76/3.55 % (3493976)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2751485269:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 21.76/3.55 % TRYING [16]
% 21.76/3.55 % TRYING [7]
% 21.76/3.55 % (3493976)Instruction limit reached!
% 21.76/3.55 % (3493976)------------------------------
% 21.76/3.55 % (3493976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493976)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493976)Termination reason: Instruction limit
% 21.76/3.55 % (3493976)Termination phase: Finite model building constraint generation
% 21.76/3.55 % (3493976)Time elapsed: 0.476 s
% 21.76/3.55 % (3493976)Peak memory usage: 145 MB
% 21.76/3.55 % (3493976)Instructions burned: 2176 (million)
% 21.76/3.55 % (3493978)ott-2_1_sil=16000:newcnf=on:random_seed=1713336167:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 21.76/3.55 % TRYING [8]
% 21.76/3.55 % (3493978)Instruction limit reached!
% 21.76/3.55 % (3493978)------------------------------
% 21.76/3.55 % (3493978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493978)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493978)Termination reason: Instruction limit
% 21.76/3.55 % (3493978)Termination phase: Saturation
% 21.76/3.55 % (3493978)Time elapsed: 0.254 s
% 21.76/3.55 % (3493978)Peak memory usage: 14 MB
% 21.76/3.55 % (3493978)Instructions burned: 870 (million)
% 21.76/3.55 % (3493980)ott+10_1_sil=32000:tgt=ground:random_seed=485213465:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 21.76/3.55 % (3493980) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3493925-3493980"...
% 21.76/3.55 % (3493980)...printing done.
% 21.76/3.55 % (3493980)Refutation found. Thanks to Tanya!
% 21.76/3.55 % SZS status Theorem for theBenchmark
% 21.76/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 21.76/3.55 % (3493980)------------------------------
% 21.76/3.55 % (3493980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.76/3.55 % (3493980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.76/3.55 % (3493980)CaDiCaL version: 2.1.3
% 21.76/3.55 % (3493980)Termination reason: Refutation
% 21.76/3.55 % (3493980)Time elapsed: 0.043 s
% 21.76/3.55 % (3493980)Peak memory usage: 12 MB
% 21.76/3.55 % (3493980)Instructions burned: 90 (million)
% 21.76/3.55 % (3493925)Success in time 3.119 s
% 21.76/3.55 % Vampire exiting
%------------------------------------------------------------------------------