%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:36:06 AM UTC 2026
% Result : Unsatisfiable 36.89s 5.69s
% Output : Refutation 36.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 96 ( 96 unt; 4 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
fof(f8,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
fof(f10,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity) ).
fof(f12,definition,
sF0 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
multiply(b,c) = sF0,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF1 = multiply(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f15,plain,
multiply(a,sF0) = sF1,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF2 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
multiply(a,b) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = multiply(sF2,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
multiply(sF2,c) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
sF1 != sF3,
inference(definition_folding,[],[f11,f19,f17,f15,f13]) ).
fof(f21,plain,
sF3 = multiply(c,sF2),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f25,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f29,plain,
multiplicative_identity = inverse(additive_identity),
inference(superposition,[],[f8,f25]) ).
fof(f35,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f6,f2]) ).
fof(f38,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f3,f5]) ).
fof(f41,plain,
! [X2,X0,X1] : add(X1,multiply(X0,X2)) = multiply(add(X0,X1),add(X1,X2)),
inference(superposition,[],[f3,f1]) ).
fof(f44,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f8]) ).
fof(f51,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X2),add(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f53,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f44,f6]) ).
fof(f63,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f66,plain,
! [X2,X0,X1] : multiply(X1,add(X0,X2)) = add(multiply(X0,X1),multiply(X1,X2)),
inference(superposition,[],[f4,f2]) ).
fof(f69,plain,
! [X0] : multiply(a,add(sF0,X0)) = add(sF1,multiply(a,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f74,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(superposition,[],[f4,f10]) ).
fof(f82,plain,
! [X0] : multiply(c,add(X0,sF2)) = add(multiply(c,X0),sF3),
inference(superposition,[],[f4,f21]) ).
fof(f89,plain,
! [X0] : add(sF3,multiply(c,X0)) = multiply(c,add(X0,sF2)),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f94,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[],[f74,f5]) ).
fof(f105,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[],[f53,f35]) ).
fof(f118,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[],[f105,f8]) ).
fof(f132,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f1,f118]) ).
fof(f161,plain,
! [X0] : multiply(additive_identity,X0) = multiply(additive_identity,add(X0,multiplicative_identity)),
inference(superposition,[],[f94,f29]) ).
fof(f184,plain,
! [X0] : multiply(additive_identity,multiplicative_identity) = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f161,f118]) ).
fof(f188,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f184,f6]) ).
fof(f243,plain,
! [X0,X1] : add(X1,multiply(additive_identity,X0)) = multiply(X1,add(X0,X1)),
inference(superposition,[],[f38,f1]) ).
fof(f256,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[],[f1,f38]) ).
fof(f267,plain,
! [X0,X1] : add(additive_identity,X0) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[],[f256,f188]) ).
fof(f280,plain,
! [X0,X1] : add(X1,additive_identity) = multiply(X1,add(X0,X1)),
inference(forward_demodulation,[],[f243,f188]) ).
fof(f297,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f267,f25]) ).
fof(f308,plain,
! [X0,X1] : multiply(X1,add(X0,X1)) = X1,
inference(forward_demodulation,[],[f280,f5]) ).
fof(f479,plain,
! [X0,X1] : multiply(X1,add(multiplicative_identity,X0)) = add(X1,multiply(X0,X1)),
inference(superposition,[],[f63,f2]) ).
fof(f491,plain,
multiply(a,add(multiplicative_identity,b)) = add(a,sF2),
inference(superposition,[],[f63,f17]) ).
fof(f492,plain,
multiply(b,add(multiplicative_identity,c)) = add(b,sF0),
inference(superposition,[],[f63,f13]) ).
fof(f523,plain,
add(b,sF0) = multiply(b,multiplicative_identity),
inference(forward_demodulation,[],[f492,f132]) ).
fof(f524,plain,
add(a,sF2) = multiply(a,multiplicative_identity),
inference(forward_demodulation,[],[f491,f132]) ).
fof(f535,plain,
! [X0,X1] : multiply(X1,multiplicative_identity) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f479,f132]) ).
fof(f548,plain,
b = add(b,sF0),
inference(forward_demodulation,[],[f523,f6]) ).
fof(f549,plain,
a = add(a,sF2),
inference(forward_demodulation,[],[f524,f6]) ).
fof(f557,plain,
! [X0,X1] : add(X1,multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f535,f6]) ).
fof(f576,plain,
multiply(a,add(sF0,b)) = add(sF1,sF2),
inference(superposition,[],[f69,f17]) ).
fof(f601,plain,
add(sF1,sF2) = multiply(a,add(b,sF0)),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f611,plain,
multiply(a,b) = add(sF1,sF2),
inference(forward_demodulation,[],[f601,f548]) ).
fof(f614,plain,
sF2 = add(sF1,sF2),
inference(forward_demodulation,[],[f611,f17]) ).
fof(f663,plain,
! [X0] : multiply(a,add(a,X0)) = add(a,multiply(sF2,X0)),
inference(superposition,[],[f3,f549]) ).
fof(f664,plain,
! [X0] : a = add(a,multiply(sF2,X0)),
inference(forward_demodulation,[],[f663,f297]) ).
fof(f1875,plain,
! [X0] : multiply(c,add(b,X0)) = add(sF0,multiply(c,X0)),
inference(superposition,[],[f66,f13]) ).
fof(f2406,plain,
b = add(b,sF2),
inference(superposition,[],[f557,f17]) ).
fof(f2410,plain,
c = add(c,sF0),
inference(superposition,[],[f557,f13]) ).
fof(f2412,plain,
sF2 = add(sF2,sF3),
inference(superposition,[],[f557,f21]) ).
fof(f3599,plain,
! [X0] : add(sF0,multiply(c,X0)) = multiply(c,add(sF0,X0)),
inference(superposition,[],[f41,f2410]) ).
fof(f3604,plain,
! [X0] : multiply(c,add(c,X0)) = add(c,multiply(X0,sF0)),
inference(superposition,[],[f51,f2410]) ).
fof(f3609,plain,
sF0 = multiply(sF0,c),
inference(superposition,[],[f308,f2410]) ).
fof(f3610,plain,
sF0 = multiply(c,sF0),
inference(forward_demodulation,[],[f3609,f2]) ).
fof(f3614,plain,
! [X0] : c = add(c,multiply(X0,sF0)),
inference(forward_demodulation,[],[f3604,f297]) ).
fof(f3619,plain,
! [X0] : multiply(c,add(b,X0)) = multiply(c,add(sF0,X0)),
inference(forward_demodulation,[],[f3599,f1875]) ).
fof(f3937,plain,
sF3 = multiply(sF3,sF2),
inference(superposition,[],[f308,f2412]) ).
fof(f3938,plain,
sF3 = multiply(sF2,sF3),
inference(forward_demodulation,[],[f3937,f2]) ).
fof(f4273,plain,
multiply(c,add(sF0,sF2)) = add(sF3,sF0),
inference(superposition,[],[f89,f3610]) ).
fof(f4303,plain,
multiply(c,add(sF0,sF2)) = add(sF0,sF3),
inference(forward_demodulation,[],[f4273,f1]) ).
fof(f4312,plain,
add(sF0,sF3) = multiply(c,add(b,sF2)),
inference(forward_demodulation,[],[f4303,f3619]) ).
fof(f4317,plain,
multiply(c,b) = add(sF0,sF3),
inference(forward_demodulation,[],[f4312,f2406]) ).
fof(f4320,plain,
multiply(b,c) = add(sF0,sF3),
inference(forward_demodulation,[],[f4317,f2]) ).
fof(f4322,plain,
sF0 = add(sF0,sF3),
inference(forward_demodulation,[],[f4320,f13]) ).
fof(f6711,plain,
a = add(a,sF3),
inference(superposition,[],[f664,f3938]) ).
fof(f6879,plain,
sF3 = multiply(sF3,a),
inference(superposition,[],[f308,f6711]) ).
fof(f6884,plain,
sF3 = multiply(a,sF3),
inference(forward_demodulation,[],[f6879,f2]) ).
fof(f7028,plain,
add(sF1,sF3) = multiply(a,add(sF0,sF3)),
inference(superposition,[],[f69,f6884]) ).
fof(f7057,plain,
multiply(a,sF0) = add(sF1,sF3),
inference(forward_demodulation,[],[f7028,f4322]) ).
fof(f7066,plain,
sF1 = add(sF1,sF3),
inference(forward_demodulation,[],[f7057,f15]) ).
fof(f27293,plain,
c = add(c,sF1),
inference(superposition,[],[f3614,f15]) ).
fof(f27723,plain,
sF1 = multiply(sF1,c),
inference(superposition,[],[f308,f27293]) ).
fof(f27745,plain,
sF1 = multiply(c,sF1),
inference(forward_demodulation,[],[f27723,f2]) ).
fof(f28240,plain,
add(sF3,sF1) = multiply(c,add(sF1,sF2)),
inference(superposition,[],[f89,f27745]) ).
fof(f28294,plain,
multiply(c,sF2) = add(sF3,sF1),
inference(forward_demodulation,[],[f28240,f614]) ).
fof(f28308,plain,
multiply(c,sF2) = add(sF1,sF3),
inference(forward_demodulation,[],[f28294,f1]) ).
fof(f28319,plain,
sF1 = multiply(c,sF2),
inference(forward_demodulation,[],[f28308,f7066]) ).
fof(f28630,plain,
sF1 = sF3,
inference(superposition,[],[f21,f28319]) ).
fof(f28695,plain,
$false,
inference(forward_subsumption_resolution,[],[f28630,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:08:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 17.38/2.77 % (4009199)Will run a generic schedule for satisfiability detection.
% 17.38/2.77 % (4009209)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4045591469:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.38/2.77 % (4009205)% WARNING: option uhcvi not known.
% 17.38/2.77 % (4009205)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2552083005:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.38/2.77 % (4009207)dis+10_1_sil=32000:sp=arity:random_seed=38505245:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.38/2.77 % (4009206)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2922556919:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.38/2.77 % (4009204)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1150543641_2999 on theBenchmark for (2999ds/0Mi)
% 17.38/2.77 % (4009208)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3542601812:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.38/2.77 % (4009210)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=927100375:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.38/2.77 % TRYING [1]
% 17.38/2.77 % TRYING [2]
% 17.38/2.77 % TRYING [3]
% 17.38/2.77 % TRYING [4]
% 17.38/2.77 % TRYING [5]
% 17.38/2.77 % (4009209)Instruction limit reached!
% 17.38/2.77 % (4009209)------------------------------
% 17.38/2.77 % (4009209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.38/2.77 % (4009209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/2.77 % (4009209)CaDiCaL version: 2.1.3
% 17.38/2.77 % (4009209)Termination reason: Instruction limit
% 17.38/2.77 % (4009209)Termination phase: Saturation
% 17.38/2.77 % (4009209)Time elapsed: 0.042 s
% 17.38/2.77 % (4009209)Peak memory usage: 12 MB
% 17.38/2.77 % (4009209)Instructions burned: 145 (million)
% 17.38/2.77 % (4009218)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=128995607:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.38/2.77 % TRYING [1]
% 17.38/2.77 % TRYING [2]
% 17.38/2.77 % TRYING [3]
% 17.38/2.77 % TRYING [4]
% 17.38/2.77 % TRYING [6]
% 17.38/2.77 % TRYING [5]
% 17.38/2.77 % (4009207)Instruction limit reached!
% 17.38/2.77 % (4009207)------------------------------
% 17.38/2.77 % (4009207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.38/2.77 % (4009207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/2.77 % (4009207)CaDiCaL version: 2.1.3
% 17.38/2.77 % (4009207)Termination reason: Instruction limit
% 17.38/2.77 % (4009207)Termination phase: Saturation
% 17.38/2.77 % (4009207)Time elapsed: 0.059 s
% 17.38/2.77 % (4009207)Peak memory usage: 12 MB
% 17.38/2.77 % (4009207)Instructions burned: 104 (million)
% 17.38/2.77 % (4009208)Instruction limit reached!
% 17.38/2.77 % (4009208)------------------------------
% 17.38/2.77 % (4009208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.38/2.77 % (4009208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/2.77 % (4009208)CaDiCaL version: 2.1.3
% 17.38/2.77 % (4009208)Termination reason: Instruction limit
% 17.38/2.77 % (4009208)Termination phase: Saturation
% 17.38/2.77 % (4009208)Time elapsed: 0.067 s
% 17.38/2.77 % (4009208)Peak memory usage: 12 MB
% 17.38/2.77 % (4009208)Instructions burned: 116 (million)
% 17.38/2.77 % (4009220)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2822283423:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.38/2.78 % TRYING [6]
% 17.38/2.78 % (4009221)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=2984090412:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.38/2.78 % (4009210)Instruction limit reached!
% 17.38/2.78 % (4009210)------------------------------
% 17.38/2.78 % (4009210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.38/2.78 % (4009210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/2.78 % (4009210)CaDiCaL version: 2.1.3
% 17.38/2.78 % (4009210)Termination reason: Instruction limit
% 17.38/2.78 % (4009210)Termination phase: Saturation
% 17.38/2.78 % (4009210)Time elapsed: 0.098 s
% 17.38/2.78 % (4009210)Peak memory usage: 12 MB
% 17.38/2.78 % (4009210)Instructions burned: 159 (million)
% 17.38/2.78 % (4009224)ott-21_1_sil=16000:fs=off:random_seed=2914230278:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.38/2.78 % TRYING [7]
% 17.38/2.78 % TRYING [7]
% 17.38/2.78 % (4009220)Instruction limit reached!
% 17.38/2.78 % (4009220)------------------------------
% 17.38/2.78 % (4009220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009220)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009220)Termination reason: Instruction limit
% 36.89/5.69 % (4009220)Termination phase: Saturation
% 36.89/5.69 % (4009220)Time elapsed: 0.087 s
% 36.89/5.69 % (4009220)Peak memory usage: 12 MB
% 36.89/5.69 % (4009220)Instructions burned: 131 (million)
% 36.89/5.69 % (4009237)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1804037922:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 36.89/5.69 % (4009224)Instruction limit reached!
% 36.89/5.69 % (4009224)------------------------------
% 36.89/5.69 % (4009224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009224)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009224)Termination reason: Instruction limit
% 36.89/5.69 % (4009224)Termination phase: Saturation
% 36.89/5.69 % (4009224)Time elapsed: 0.081 s
% 36.89/5.69 % (4009224)Peak memory usage: 11 MB
% 36.89/5.69 % (4009224)Instructions burned: 180 (million)
% 36.89/5.69 % (4009218)Instruction limit reached!
% 36.89/5.69 % (4009218)------------------------------
% 36.89/5.69 % (4009218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009218)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009218)Termination reason: Instruction limit
% 36.89/5.69 % (4009218)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009218)Time elapsed: 0.167 s
% 36.89/5.69 % (4009218)Peak memory usage: 27 MB
% 36.89/5.69 % (4009218)Instructions burned: 716 (million)
% 36.89/5.69 % (4009245)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1007352823:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.89/5.69 % TRYING [1]
% 36.89/5.69 % TRYING [2]
% 36.89/5.69 % (4009250)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3136490005:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 36.89/5.69 % TRYING [3]
% 36.89/5.69 % TRYING [4]
% 36.89/5.69 % TRYING [5]
% 36.89/5.69 % TRYING [6]
% 36.89/5.69 % (4009237)Instruction limit reached!
% 36.89/5.69 % (4009237)------------------------------
% 36.89/5.69 % (4009237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009237)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009237)Termination reason: Instruction limit
% 36.89/5.69 % (4009237)Termination phase: Saturation
% 36.89/5.69 % (4009237)Time elapsed: 0.252 s
% 36.89/5.69 % (4009237)Peak memory usage: 15 MB
% 36.89/5.69 % (4009237)Instructions burned: 477 (million)
% 36.89/5.69 % (4009221)Instruction limit reached!
% 36.89/5.69 % (4009221)------------------------------
% 36.89/5.69 % (4009221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009221)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009221)Termination reason: Instruction limit
% 36.89/5.69 % (4009221)Termination phase: Saturation
% 36.89/5.69 % (4009221)Time elapsed: 0.361 s
% 36.89/5.69 % (4009221)Peak memory usage: 16 MB
% 36.89/5.69 % (4009221)Instructions burned: 684 (million)
% 36.89/5.69 % (4009318)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3751367572:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 36.89/5.69 % TRYING [8]
% 36.89/5.69 % (4009322)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=1784224773: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)
% 36.89/5.69 % TRYING [7]
% 36.89/5.69 % (4009245)Instruction limit reached!
% 36.89/5.69 % (4009245)------------------------------
% 36.89/5.69 % (4009245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009245)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009245)Termination reason: Instruction limit
% 36.89/5.69 % (4009245)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009245)Time elapsed: 0.321 s
% 36.89/5.69 % (4009245)Peak memory usage: 20 MB
% 36.89/5.69 % (4009245)Instructions burned: 868 (million)
% 36.89/5.69 % TRYING [14]
% 36.89/5.69 % (4009343)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=443067245:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 36.89/5.69 % (4009250)Instruction limit reached!
% 36.89/5.69 % (4009250)------------------------------
% 36.89/5.69 % (4009250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009250)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009250)Termination reason: Instruction limit
% 36.89/5.69 % (4009250)Termination phase: Saturation
% 36.89/5.69 % (4009250)Time elapsed: 0.370 s
% 36.89/5.69 % (4009250)Peak memory usage: 18 MB
% 36.89/5.69 % (4009250)Instructions burned: 1182 (million)
% 36.89/5.69 % (4009358)fmb+10_1_sil=64000:random_seed=1863791856:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 36.89/5.69 % TRYING [1]
% 36.89/5.69 % TRYING [2]
% 36.89/5.69 % TRYING [3]
% 36.89/5.69 % TRYING [4]
% 36.89/5.69 % TRYING [5]
% 36.89/5.69 % TRYING [6]
% 36.89/5.69 % TRYING [7]
% 36.89/5.69 % (4009318)Instruction limit reached!
% 36.89/5.69 % (4009318)------------------------------
% 36.89/5.69 % (4009318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009318)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009318)Termination reason: Instruction limit
% 36.89/5.69 % (4009318)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009318)Time elapsed: 0.340 s
% 36.89/5.69 % (4009318)Peak memory usage: 77 MB
% 36.89/5.69 % (4009318)Instructions burned: 891 (million)
% 36.89/5.69 % (4009370)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2889857201:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 36.89/5.69 % TRYING [20]
% 36.89/5.69 % TRYING [8]
% 36.89/5.69 % (4009343)Instruction limit reached!
% 36.89/5.69 % (4009343)------------------------------
% 36.89/5.69 % (4009343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009343)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009343)Termination reason: Instruction limit
% 36.89/5.69 % (4009343)Termination phase: Saturation
% 36.89/5.69 % (4009343)Time elapsed: 0.462 s
% 36.89/5.69 % (4009343)Peak memory usage: 18 MB
% 36.89/5.69 % (4009343)Instructions burned: 880 (million)
% 36.89/5.69 % (4009322)Instruction limit reached!
% 36.89/5.69 % (4009322)------------------------------
% 36.89/5.69 % (4009322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009322)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009322)Termination reason: Instruction limit
% 36.89/5.69 % (4009322)Termination phase: Saturation
% 36.89/5.69 % (4009322)Time elapsed: 0.556 s
% 36.89/5.69 % (4009322)Peak memory usage: 18 MB
% 36.89/5.69 % (4009322)Instructions burned: 693 (million)
% 36.89/5.69 % (4009372)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3990838527:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 36.89/5.69 % TRYING [8]
% 36.89/5.69 % (4009373)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1096961046:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 36.89/5.69 % (4009372)Instruction limit reached!
% 36.89/5.69 % (4009372)------------------------------
% 36.89/5.69 % (4009372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009372)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009372)Termination reason: Instruction limit
% 36.89/5.69 % (4009372)Termination phase: Finite model building SAT solving
% 36.89/5.69 % (4009372)Time elapsed: 0.590 s
% 36.89/5.69 % (4009372)Peak memory usage: 55 MB
% 36.89/5.69 % (4009372)Instructions burned: 920 (million)
% 36.89/5.69 % (4009391)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4012200600:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 36.89/5.69 % TRYING [9]
% 36.89/5.69 % TRYING [9]
% 36.89/5.69 % (4009391)Instruction limit reached!
% 36.89/5.69 % (4009391)------------------------------
% 36.89/5.69 % (4009391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009391)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009391)Termination reason: Instruction limit
% 36.89/5.69 % (4009391)Termination phase: Saturation
% 36.89/5.69 % (4009391)Time elapsed: 0.778 s
% 36.89/5.69 % (4009391)Peak memory usage: 25 MB
% 36.89/5.69 % (4009391)Instructions burned: 1474 (million)
% 36.89/5.69 % (4009442)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3466465716:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 36.89/5.69 % TRYING [77]
% 36.89/5.69 % (4009373)Instruction limit reached!
% 36.89/5.69 % (4009373)------------------------------
% 36.89/5.69 % (4009373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009373)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009373)Termination reason: Instruction limit
% 36.89/5.69 % (4009373)Termination phase: Saturation
% 36.89/5.69 % (4009373)Time elapsed: 2.966 s
% 36.89/5.69 % (4009373)Peak memory usage: 43 MB
% 36.89/5.69 % (4009373)Instructions burned: 5131 (million)
% 36.89/5.69 % (4009550)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=456748319:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 36.89/5.69 % TRYING [16]
% 36.89/5.69 % (4009370)Instruction limit reached!
% 36.89/5.69 % (4009370)------------------------------
% 36.89/5.69 % (4009370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009370)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009370)Termination reason: Instruction limit
% 36.89/5.69 % (4009370)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009370)Time elapsed: 3.762 s
% 36.89/5.69 % (4009370)Peak memory usage: 666 MB
% 36.89/5.69 % (4009370)Instructions burned: 9517 (million)
% 36.89/5.69 % (4009552)ott-2_1_sil=16000:newcnf=on:random_seed=272486669:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 36.89/5.69 % (4009550)Instruction limit reached!
% 36.89/5.69 % (4009550)------------------------------
% 36.89/5.69 % (4009550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009550)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009550)Termination reason: Instruction limit
% 36.89/5.69 % (4009550)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009550)Time elapsed: 0.732 s
% 36.89/5.69 % (4009550)Peak memory usage: 133 MB
% 36.89/5.69 % (4009550)Instructions burned: 2176 (million)
% 36.89/5.69 % (4009554)ott+10_1_sil=32000:tgt=ground:random_seed=3334468462:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 36.89/5.69 % (4009442)Instruction limit reached!
% 36.89/5.69 % (4009442)------------------------------
% 36.89/5.69 % (4009442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009442)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009442)Termination reason: Instruction limit
% 36.89/5.69 % (4009442)Termination phase: Finite model building constraint generation
% 36.89/5.69 % (4009442)Time elapsed: 2.346 s
% 36.89/5.69 % (4009442)Peak memory usage: 436 MB
% 36.89/5.69 % (4009442)Instructions burned: 6325 (million)
% 36.89/5.69 % (4009556)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1893459983:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 36.89/5.69 % TRYING [1]
% 36.89/5.69 % TRYING [2]
% 36.89/5.69 % TRYING [3]
% 36.89/5.69 % TRYING [4]
% 36.89/5.69 % TRYING [5]
% 36.89/5.69 % TRYING [6]
% 36.89/5.69 % TRYING [7]
% 36.89/5.69 % (4009552)Instruction limit reached!
% 36.89/5.69 % (4009552)------------------------------
% 36.89/5.69 % (4009552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009552)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009552)Termination reason: Instruction limit
% 36.89/5.69 % (4009552)Termination phase: Saturation
% 36.89/5.69 % (4009552)Time elapsed: 0.508 s
% 36.89/5.69 % (4009552)Peak memory usage: 19 MB
% 36.89/5.69 % (4009552)Instructions burned: 870 (million)
% 36.89/5.69 % (4009558)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3016047423:i=3512:aac=none_2947 on theBenchmark for (2947ds/3512Mi)
% 36.89/5.69 % TRYING [8]
% 36.89/5.69 % (4009554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4009199-4009554"...
% 36.89/5.69 % (4009554)...printing done.
% 36.89/5.69 % (4009554)Refutation found. Thanks to Tanya!
% 36.89/5.69 % SZS status Unsatisfiable for theBenchmark
% 36.89/5.69 % SZS output start Proof for theBenchmark
% See solution above
% 36.89/5.69 % (4009554)------------------------------
% 36.89/5.69 % (4009554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.89/5.69 % (4009554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.89/5.69 % (4009554)CaDiCaL version: 2.1.3
% 36.89/5.69 % (4009554)Termination reason: Refutation
% 36.89/5.69 % (4009554)Time elapsed: 0.577 s
% 36.89/5.69 % (4009554)Peak memory usage: 21 MB
% 36.89/5.69 % (4009554)Instructions burned: 995 (million)
% 36.89/5.69 % (4009199)Success in time 5.447 s
% 36.89/5.69 % Vampire exiting
%------------------------------------------------------------------------------