%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:36:09 AM UTC 2026
% Result : Unsatisfiable 37.29s 5.77s
% Output : Refutation 37.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 26 unt; 2 def)
% Number of atoms : 63 ( 12 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity3) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f30,axiom,
! [X0,X1] : product(X0,add(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_and_add) ).
fof(f35,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f36,plain,
x != inverse(inverse(x)),
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF0 = inverse(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f38,plain,
inverse(x) = sF0,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF1 = inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f40,plain,
inverse(sF0) = sF1,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
x != sF1,
inference(definition_folding,[],[f36,f40,f38]) ).
fof(f42,plain,
sum(sF0,x,multiplicative_identity),
inference(superposition,[],[f17,f38]) ).
fof(f43,plain,
sum(sF1,sF0,multiplicative_identity),
inference(superposition,[],[f17,f40]) ).
fof(f46,plain,
product(sF0,x,additive_identity),
inference(superposition,[],[f19,f38]) ).
fof(f49,plain,
product(sF0,sF1,additive_identity),
inference(superposition,[],[f20,f40]) ).
fof(f61,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f106,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f107,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X3,X0,multiplicative_identity)
| ~ product(X0,X1,X2)
| sum(X4,X2,X1) ),
inference(resolution,[],[f11,f7]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,multiplicative_identity)
| sum(X0,X4,X2) ),
inference(resolution,[],[f14,f7]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ product(X0,sF1,X1)
| ~ sum(sF0,X0,multiplicative_identity)
| sum(additive_identity,X1,sF1) ),
inference(resolution,[],[f220,f49]) ).
fof(f1738,plain,
! [X0,X1] :
( ~ sum(X0,sF0,multiplicative_identity)
| ~ sum(X0,x,X1)
| sum(X0,additive_identity,X1) ),
inference(resolution,[],[f290,f46]) ).
fof(f15399,plain,
! [X0] :
( ~ sum(sF1,x,X0)
| sum(sF1,additive_identity,X0) ),
inference(resolution,[],[f1738,f43]) ).
fof(f17304,plain,
sum(sF1,additive_identity,add(x,sF1)),
inference(resolution,[],[f15399,f61]) ).
fof(f17380,plain,
sF1 = add(x,sF1),
inference(resolution,[],[f17304,f107]) ).
fof(f17494,plain,
product(x,sF1,x),
inference(superposition,[],[f30,f17380]) ).
fof(f17597,plain,
( ~ sum(sF0,x,multiplicative_identity)
| sum(additive_identity,x,sF1) ),
inference(resolution,[],[f17494,f1353]) ).
fof(f17652,plain,
sum(additive_identity,x,sF1),
inference(forward_subsumption_resolution,[],[f17597,f42]) ).
fof(f17896,plain,
x = sF1,
inference(resolution,[],[f17652,f106]) ).
fof(f17934,plain,
$false,
inference(forward_subsumption_resolution,[],[f17896,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:09:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.22 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
% 27.68/4.16 % (750142)Will run a generic schedule for satisfiability detection.
% 27.68/4.16 % (750153)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3025040341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.68/4.16 % (750148)% WARNING: option uhcvi not known.
% 27.68/4.16 % (750152)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=191641371:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.68/4.16 % (750148)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3135191246:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.68/4.16 % (750150)dis+10_1_sil=32000:sp=arity:random_seed=2663005747:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.68/4.16 % (750151)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1673171195:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.68/4.16 % (750147)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2067316356_2999 on theBenchmark for (2999ds/0Mi)
% 27.68/4.16 % TRYING [1]
% 27.68/4.16 % TRYING [2]
% 27.68/4.16 % TRYING [3]
% 27.68/4.16 % (750149)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4178886506:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.68/4.16 % TRYING [4]
% 27.68/4.16 % (750153)Instruction limit reached!
% 27.68/4.16 % (750153)------------------------------
% 27.68/4.16 % (750153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.68/4.16 % (750153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.68/4.16 % (750153)CaDiCaL version: 2.1.3
% 27.68/4.16 % (750153)Termination reason: Instruction limit
% 27.68/4.16 % (750153)Termination phase: Saturation
% 27.68/4.16 % (750153)Time elapsed: 0.051 s
% 27.68/4.16 % (750153)Peak memory usage: 12 MB
% 27.68/4.16 % (750153)Instructions burned: 161 (million)
% 27.68/4.16 % (750161)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3947841007:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.68/4.16 % TRYING [1]
% 27.68/4.16 % TRYING [2]
% 27.68/4.16 % TRYING [3]
% 27.68/4.16 % (750151)Instruction limit reached!
% 27.68/4.16 % (750151)------------------------------
% 27.68/4.16 % (750151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.68/4.16 % (750151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.68/4.16 % TRYING [4]
% 27.68/4.16 % (750151)CaDiCaL version: 2.1.3
% 27.68/4.16 % (750151)Termination reason: Instruction limit
% 27.68/4.16 % (750151)Termination phase: Saturation
% 27.68/4.16 % (750151)Time elapsed: 0.065 s
% 27.68/4.16 % (750151)Peak memory usage: 11 MB
% 27.68/4.16 % (750151)Instructions burned: 116 (million)
% 27.68/4.16 % TRYING [5]
% 27.68/4.16 % (750152)Instruction limit reached!
% 27.68/4.16 % (750152)------------------------------
% 27.68/4.16 % (750152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.68/4.16 % (750152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.68/4.16 % (750152)CaDiCaL version: 2.1.3
% 27.68/4.16 % (750152)Termination reason: Instruction limit
% 27.68/4.16 % (750152)Termination phase: Saturation
% 27.68/4.16 % (750152)Time elapsed: 0.079 s
% 27.68/4.16 % (750152)Peak memory usage: 11 MB
% 27.68/4.16 % (750152)Instructions burned: 132 (million)
% 27.68/4.16 % (750163)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=152846140:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 27.68/4.16 % TRYING [5]
% 27.68/4.16 % (750150)Instruction limit reached!
% 27.68/4.16 % (750150)------------------------------
% 27.68/4.16 % (750150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.68/4.16 % (750150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.68/4.16 % (750150)CaDiCaL version: 2.1.3
% 27.68/4.16 % (750150)Termination reason: Instruction limit
% 27.68/4.16 % (750150)Termination phase: Saturation
% 27.68/4.16 % (750150)Time elapsed: 0.094 s
% 27.68/4.16 % (750150)Peak memory usage: 11 MB
% 27.68/4.16 % (750150)Instructions burned: 103 (million)
% 27.68/4.16 % (750164)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=1843817931:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.68/4.16 % (750166)ott-21_1_sil=16000:fs=off:random_seed=4169856043:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.68/4.16 % (750163)Instruction limit reached!
% 27.68/4.16 % (750163)------------------------------
% 27.68/4.16 % (750163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.68/4.16 % (750163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750163)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750163)Termination reason: Instruction limit
% 37.29/5.77 % (750163)Termination phase: Saturation
% 37.29/5.77 % (750163)Time elapsed: 0.078 s
% 37.29/5.77 % (750163)Peak memory usage: 12 MB
% 37.29/5.77 % (750163)Instructions burned: 132 (million)
% 37.29/5.77 % TRYING [6]
% 37.29/5.77 % (750169)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1734650909:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 37.29/5.77 % TRYING [6]
% 37.29/5.77 % (750161)Instruction limit reached!
% 37.29/5.77 % (750161)------------------------------
% 37.29/5.77 % (750161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750161)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750161)Termination reason: Instruction limit
% 37.29/5.77 % (750161)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750161)Time elapsed: 0.149 s
% 37.29/5.77 % (750161)Peak memory usage: 32 MB
% 37.29/5.77 % (750161)Instructions burned: 714 (million)
% 37.29/5.77 % (750166)Instruction limit reached!
% 37.29/5.77 % (750166)------------------------------
% 37.29/5.77 % (750166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750166)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750166)Termination reason: Instruction limit
% 37.29/5.77 % (750166)Termination phase: Saturation
% 37.29/5.77 % (750166)Time elapsed: 0.094 s
% 37.29/5.77 % (750166)Peak memory usage: 12 MB
% 37.29/5.77 % (750166)Instructions burned: 180 (million)
% 37.29/5.77 % (750179)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2010751736:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.29/5.77 % TRYING [1]
% 37.29/5.77 % TRYING [2]
% 37.29/5.77 % TRYING [3]
% 37.29/5.77 % TRYING [4]
% 37.29/5.77 % (750180)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4173478748:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.29/5.77 % TRYING [5]
% 37.29/5.77 % (750179)Instruction limit reached!
% 37.29/5.77 % (750179)------------------------------
% 37.29/5.77 % (750179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750179)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750179)Termination reason: Instruction limit
% 37.29/5.77 % (750179)Termination phase: Finite model building SAT solving
% 37.29/5.77 % (750179)Time elapsed: 0.271 s
% 37.29/5.77 % (750179)Peak memory usage: 25 MB
% 37.29/5.77 % (750179)Instructions burned: 866 (million)
% 37.29/5.77 % (750190)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=390205287:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 37.29/5.77 % (750169)Instruction limit reached!
% 37.29/5.77 % (750169)------------------------------
% 37.29/5.77 % (750169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750169)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750169)Termination reason: Instruction limit
% 37.29/5.77 % (750169)Termination phase: Saturation
% 37.29/5.77 % (750169)Time elapsed: 0.463 s
% 37.29/5.77 % (750169)Peak memory usage: 12 MB
% 37.29/5.77 % (750169)Instructions burned: 478 (million)
% 37.29/5.77 % (750164)Instruction limit reached!
% 37.29/5.77 % (750164)------------------------------
% 37.29/5.77 % (750164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750164)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750164)Termination reason: Instruction limit
% 37.29/5.77 % (750164)Termination phase: Saturation
% 37.29/5.77 % (750164)Time elapsed: 0.578 s
% 37.29/5.77 % (750164)Peak memory usage: 16 MB
% 37.29/5.77 % (750164)Instructions burned: 684 (million)
% 37.29/5.77 % (750196)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=3438920660:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 37.29/5.77 % (750197)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2905908342:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 37.29/5.77 % TRYING [7]
% 37.29/5.77 % TRYING [14]
% 37.29/5.77 % (750190)Instruction limit reached!
% 37.29/5.77 % (750190)------------------------------
% 37.29/5.77 % (750190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750190)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750190)Termination reason: Instruction limit
% 37.29/5.77 % (750190)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750190)Time elapsed: 0.373 s
% 37.29/5.77 % (750190)Peak memory usage: 100 MB
% 37.29/5.77 % (750190)Instructions burned: 890 (million)
% 37.29/5.77 % (750203)fmb+10_1_sil=64000:random_seed=303499462:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 37.29/5.77 % TRYING [1]
% 37.29/5.77 % TRYING [2]
% 37.29/5.77 % TRYING [3]
% 37.29/5.77 % TRYING [4]
% 37.29/5.77 % TRYING [5]
% 37.29/5.77 % TRYING [6]
% 37.29/5.77 % (750180)Instruction limit reached!
% 37.29/5.77 % (750180)------------------------------
% 37.29/5.77 % (750180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750180)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750180)Termination reason: Instruction limit
% 37.29/5.77 % (750180)Termination phase: Saturation
% 37.29/5.77 % (750180)Time elapsed: 1.077 s
% 37.29/5.77 % (750180)Peak memory usage: 17 MB
% 37.29/5.77 % (750180)Instructions burned: 1180 (million)
% 37.29/5.77 % (750196)Instruction limit reached!
% 37.29/5.77 % (750196)------------------------------
% 37.29/5.77 % (750196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750196)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750196)Termination reason: Instruction limit
% 37.29/5.77 % (750196)Termination phase: Saturation
% 37.29/5.77 % (750196)Time elapsed: 0.643 s
% 37.29/5.77 % (750196)Peak memory usage: 14 MB
% 37.29/5.77 % (750196)Instructions burned: 692 (million)
% 37.29/5.77 % (750211)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4036933107:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 37.29/5.77 % TRYING [8]
% 37.29/5.77 % (750210)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4053476363:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 37.29/5.77 % TRYING [20]
% 37.29/5.77 % (750197)Instruction limit reached!
% 37.29/5.77 % (750197)------------------------------
% 37.29/5.77 % (750197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750197)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750197)Termination reason: Instruction limit
% 37.29/5.77 % (750197)Termination phase: Saturation
% 37.29/5.77 % (750197)Time elapsed: 0.724 s
% 37.29/5.77 % (750197)Peak memory usage: 14 MB
% 37.29/5.77 % (750197)Instructions burned: 880 (million)
% 37.29/5.77 % (750215)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=994077412:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 37.29/5.77 % (750211)Instruction limit reached!
% 37.29/5.77 % (750211)------------------------------
% 37.29/5.77 % (750211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750211)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750211)Termination reason: Instruction limit
% 37.29/5.77 % (750211)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750211)Time elapsed: 0.372 s
% 37.29/5.77 % (750211)Peak memory usage: 90 MB
% 37.29/5.77 % (750211)Instructions burned: 920 (million)
% 37.29/5.77 % (750218)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3148673113:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 37.29/5.77 % TRYING [8]
% 37.29/5.77 % TRYING [7]
% 37.29/5.77 % (750218)Instruction limit reached!
% 37.29/5.77 % (750218)------------------------------
% 37.29/5.77 % (750218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750218)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750218)Termination reason: Instruction limit
% 37.29/5.77 % (750218)Termination phase: Saturation
% 37.29/5.77 % (750218)Time elapsed: 0.784 s
% 37.29/5.77 % (750218)Peak memory usage: 32 MB
% 37.29/5.77 % (750218)Instructions burned: 1473 (million)
% 37.29/5.77 % (750372)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2968220712:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 37.29/5.77 % TRYING [77]
% 37.29/5.77 % TRYING [8]
% 37.29/5.77 % TRYING [9]
% 37.29/5.77 % (750215)Instruction limit reached!
% 37.29/5.77 % (750215)------------------------------
% 37.29/5.77 % (750215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750215)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750215)Termination reason: Instruction limit
% 37.29/5.77 % (750215)Termination phase: Saturation
% 37.29/5.77 % (750215)Time elapsed: 2.468 s
% 37.29/5.77 % (750215)Peak memory usage: 19 MB
% 37.29/5.77 % (750215)Instructions burned: 5131 (million)
% 37.29/5.77 % (750374)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3954709623:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 37.29/5.77 % TRYING [16]
% 37.29/5.77 % (750374)Instruction limit reached!
% 37.29/5.77 % (750374)------------------------------
% 37.29/5.77 % (750374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750374)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750374)Termination reason: Instruction limit
% 37.29/5.77 % (750374)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750374)Time elapsed: 0.727 s
% 37.29/5.77 % (750374)Peak memory usage: 131 MB
% 37.29/5.77 % (750374)Instructions burned: 2175 (million)
% 37.29/5.77 % (750376)ott-2_1_sil=16000:newcnf=on:random_seed=2248955279:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 37.29/5.77 % (750372)Instruction limit reached!
% 37.29/5.77 % (750372)------------------------------
% 37.29/5.77 % (750372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750372)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750372)Termination reason: Instruction limit
% 37.29/5.77 % (750372)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750372)Time elapsed: 2.195 s
% 37.29/5.77 % (750372)Peak memory usage: 450 MB
% 37.29/5.77 % (750372)Instructions burned: 6327 (million)
% 37.29/5.77 % (750210)Instruction limit reached!
% 37.29/5.77 % (750210)------------------------------
% 37.29/5.77 % (750210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750210)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750210)Termination reason: Instruction limit
% 37.29/5.77 % (750210)Termination phase: Finite model building constraint generation
% 37.29/5.77 % (750210)Time elapsed: 3.401 s
% 37.29/5.77 % (750210)Peak memory usage: 671 MB
% 37.29/5.77 % (750210)Instructions burned: 9517 (million)
% 37.29/5.77 % (750378)ott+10_1_sil=32000:tgt=ground:random_seed=2798966149:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 37.29/5.77 % (750380)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3170885037:i=54282_2951 on theBenchmark for (2951ds/54282Mi)
% 37.29/5.77 % TRYING [1]
% 37.29/5.77 % TRYING [2]
% 37.29/5.77 % TRYING [3]
% 37.29/5.77 % TRYING [4]
% 37.29/5.77 % TRYING [5]
% 37.29/5.77 % TRYING [6]
% 37.29/5.77 % (750376)Instruction limit reached!
% 37.29/5.77 % (750376)------------------------------
% 37.29/5.77 % (750376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750376)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750376)Termination reason: Instruction limit
% 37.29/5.77 % (750376)Termination phase: Saturation
% 37.29/5.77 % (750376)Time elapsed: 0.454 s
% 37.29/5.77 % (750376)Peak memory usage: 13 MB
% 37.29/5.77 % (750376)Instructions burned: 871 (million)
% 37.29/5.77 % (750382)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=179973912:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 37.29/5.77 % TRYING [7]
% 37.29/5.77 % (750378) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-750142-750378"...
% 37.29/5.77 % (750378)...printing done.
% 37.29/5.77 % (750378)Refutation found. Thanks to Tanya!
% 37.29/5.77 % SZS status Unsatisfiable for theBenchmark
% 37.29/5.77 % SZS output start Proof for theBenchmark
% See solution above
% 37.29/5.77 % (750378)------------------------------
% 37.29/5.77 % (750378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.29/5.77 % (750378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.29/5.77 % (750378)CaDiCaL version: 2.1.3
% 37.29/5.77 % (750378)Termination reason: Refutation
% 37.29/5.77 % (750378)Time elapsed: 0.632 s
% 37.29/5.77 % (750378)Peak memory usage: 17 MB
% 37.29/5.77 % (750378)Instructions burned: 1025 (million)
% 37.29/5.77 % (750142)Success in time 5.547 s
% 37.29/5.77 % Vampire exiting
%------------------------------------------------------------------------------