%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE169-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:41:02 AM UTC 2026
% Result : Unsatisfiable 21.89s 3.93s
% Output : Refutation 21.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 64 ( 64 unt; 7 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-4 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f4,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f5,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f7,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f10,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f12,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f17,axiom,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
fof(f18,axiom,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f21,plain,
! [X0] : true = leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(reorient_equations,[],[f20]) ).
fof(f28,axiom,
sigma = addition(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an) ).
fof(f29,negated_conjecture,
leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
fof(f30,plain,
true != leq(multiplication(a,multiplication(b,a)),multiplication(star(sigma),multiplication(a,multiplication(sigma,a)))),
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF0 = multiplication(b,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
multiplication(b,a) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF1 = multiplication(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
multiplication(a,sF0) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = star(sigma),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
star(sigma) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = multiplication(sigma,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
multiplication(sigma,a) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = multiplication(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
multiplication(a,sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF5 = multiplication(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
multiplication(sF2,sF4) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF6 = leq(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f44,plain,
leq(sF1,sF5) = sF6,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
true != sF6,
inference(definition_folding,[],[f30,f44,f42,f40,f38,f36,f34,f32]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f54,plain,
! [X0] : addition(a,addition(b,X0)) = addition(sigma,X0),
inference(superposition,[],[f5,f28]) ).
fof(f63,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f4,f5]) ).
fof(f124,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true),
inference(superposition,[],[f19,f51]) ).
fof(f133,plain,
! [X0,X1] : true = leq(X0,addition(X0,X1)),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f142,plain,
true = leq(addition(one,multiplication(sigma,sF2)),sF2),
inference(superposition,[],[f21,f36]) ).
fof(f180,plain,
! [X0] : multiplication(a,addition(sF0,X0)) = addition(sF1,multiplication(a,X0)),
inference(superposition,[],[f11,f34]) ).
fof(f232,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f12,f10]) ).
fof(f233,plain,
! [X0] : multiplication(addition(sigma,X0),a) = addition(sF3,multiplication(X0,a)),
inference(superposition,[],[f12,f38]) ).
fof(f388,plain,
addition(a,b) = addition(sigma,b),
inference(superposition,[],[f54,f7]) ).
fof(f402,plain,
sigma = addition(sigma,b),
inference(forward_demodulation,[],[f388,f28]) ).
fof(f615,plain,
sF2 = ifeq2(true,true,addition(addition(one,multiplication(sigma,sF2)),sF2),sF2),
inference(superposition,[],[f17,f142]) ).
fof(f616,plain,
sF2 = addition(addition(one,multiplication(sigma,sF2)),sF2),
inference(forward_demodulation,[],[f615,f2]) ).
fof(f618,plain,
sF2 = addition(one,addition(multiplication(sigma,sF2),sF2)),
inference(forward_demodulation,[],[f616,f5]) ).
fof(f620,plain,
sF2 = addition(one,addition(sF2,multiplication(sigma,sF2))),
inference(forward_demodulation,[],[f618,f4]) ).
fof(f622,plain,
sF2 = addition(one,multiplication(addition(one,sigma),sF2)),
inference(forward_demodulation,[],[f620,f232]) ).
fof(f961,plain,
! [X2,X0,X1] : true = leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f133,f63]) ).
fof(f1317,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f51,f622]) ).
fof(f1471,plain,
multiplication(a,addition(sF0,sF3)) = addition(sF1,sF4),
inference(superposition,[],[f180,f40]) ).
fof(f2136,plain,
multiplication(addition(one,sF2),sF4) = addition(sF4,sF5),
inference(superposition,[],[f232,f42]) ).
fof(f2224,plain,
multiplication(sF2,sF4) = addition(sF4,sF5),
inference(forward_demodulation,[],[f2136,f1317]) ).
fof(f2247,plain,
sF5 = addition(sF4,sF5),
inference(forward_demodulation,[],[f2224,f42]) ).
fof(f2281,plain,
addition(sF3,sF0) = multiplication(addition(sigma,b),a),
inference(superposition,[],[f233,f32]) ).
fof(f2314,plain,
multiplication(sigma,a) = addition(sF3,sF0),
inference(forward_demodulation,[],[f2281,f402]) ).
fof(f2319,plain,
multiplication(sigma,a) = addition(sF0,sF3),
inference(forward_demodulation,[],[f2314,f4]) ).
fof(f2323,plain,
sF3 = addition(sF0,sF3),
inference(forward_demodulation,[],[f2319,f38]) ).
fof(f3008,plain,
multiplication(a,sF3) = addition(sF1,sF4),
inference(superposition,[],[f1471,f2323]) ).
fof(f3041,plain,
sF4 = addition(sF1,sF4),
inference(forward_demodulation,[],[f3008,f40]) ).
fof(f17568,plain,
! [X0] : true = leq(sF1,addition(X0,sF4)),
inference(superposition,[],[f961,f3041]) ).
fof(f18767,plain,
! [X0] : true = leq(sF1,addition(sF4,X0)),
inference(superposition,[],[f17568,f4]) ).
fof(f20213,plain,
true = leq(sF1,sF5),
inference(superposition,[],[f18767,f2247]) ).
fof(f20465,plain,
true = sF6,
inference(superposition,[],[f44,f20213]) ).
fof(f20477,plain,
$false,
inference(forward_subsumption_resolution,[],[f20465,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE169-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 13:13:50 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.38 Running first-order model finding
% 0.07/0.38 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
% 11.54/2.11 % (2382371)Will run a generic schedule for satisfiability detection.
% 11.54/2.11 % (2382376)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1120541322_3000 on theBenchmark for (3000ds/0Mi)
% 11.54/2.11 % TRYING [1]
% 11.54/2.11 % TRYING [2]
% 11.54/2.11 % TRYING [3]
% 11.54/2.11 % (2382377)% WARNING: option uhcvi not known.
% 11.54/2.11 % (2382379)dis+10_1_sil=32000:sp=arity:random_seed=3055203814:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 11.54/2.11 % (2382380)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3226224363:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 11.54/2.11 % (2382381)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3227106779:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 11.54/2.11 % (2382378)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2644433594:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 11.54/2.11 % (2382382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3375428508:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 11.54/2.11 % (2382377)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1711297734:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 11.54/2.11 % TRYING [4]
% 11.54/2.11 % (2382379)Instruction limit reached!
% 11.54/2.11 % (2382379)------------------------------
% 11.54/2.11 % (2382379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.54/2.11 % (2382379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.11 % (2382379)CaDiCaL version: 2.1.3
% 11.54/2.11 % (2382379)Termination reason: Instruction limit
% 11.54/2.11 % (2382379)Termination phase: Saturation
% 11.54/2.11 % (2382379)Time elapsed: 0.049 s
% 11.54/2.11 % (2382379)Peak memory usage: 12 MB
% 11.54/2.11 % (2382379)Instructions burned: 104 (million)
% 11.54/2.11 % (2382380)Instruction limit reached!
% 11.54/2.11 % (2382380)------------------------------
% 11.54/2.11 % (2382380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.54/2.11 % (2382380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.11 % (2382380)CaDiCaL version: 2.1.3
% 11.54/2.11 % (2382380)Termination reason: Instruction limit
% 11.54/2.11 % (2382380)Termination phase: Saturation
% 11.54/2.11 % (2382380)Time elapsed: 0.058 s
% 11.54/2.11 % (2382380)Peak memory usage: 12 MB
% 11.54/2.11 % (2382380)Instructions burned: 117 (million)
% 11.54/2.11 % (2382381)Instruction limit reached!
% 11.54/2.11 % (2382381)------------------------------
% 11.54/2.11 % (2382381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.54/2.11 % (2382381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.11 % (2382381)CaDiCaL version: 2.1.3
% 11.54/2.11 % (2382381)Termination reason: Instruction limit
% 11.54/2.11 % (2382381)Termination phase: Saturation
% 11.54/2.11 % (2382381)Time elapsed: 0.065 s
% 11.54/2.11 % (2382381)Peak memory usage: 13 MB
% 11.54/2.11 % (2382381)Instructions burned: 132 (million)
% 11.54/2.11 % (2382390)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=808459654:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.54/2.11 % TRYING [1]
% 11.54/2.11 % TRYING [2]
% 11.54/2.11 % TRYING [3]
% 11.54/2.11 % (2382391)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2888040674:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 11.54/2.11 % TRYING [4]
% 11.54/2.11 % TRYING [5]
% 11.54/2.11 % (2382382)Instruction limit reached!
% 11.54/2.11 % (2382382)------------------------------
% 11.54/2.11 % (2382382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.54/2.11 % (2382382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.54/2.11 % (2382382)CaDiCaL version: 2.1.3
% 11.54/2.11 % (2382382)Termination reason: Instruction limit
% 11.54/2.11 % (2382382)Termination phase: Saturation
% 11.54/2.11 % (2382382)Time elapsed: 0.083 s
% 11.54/2.11 % (2382382)Peak memory usage: 12 MB
% 11.54/2.11 % (2382382)Instructions burned: 159 (million)
% 11.54/2.11 % (2382392)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=3118662865:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 11.54/2.11 % (2382395)ott-21_1_sil=16000:fs=off:random_seed=3505291348:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.54/2.11 % TRYING [5]
% 11.54/2.11 % (2382391)Instruction limit reached!
% 11.54/2.11 % (2382391)------------------------------
% 11.54/2.11 % (2382391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382391)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382391)Termination reason: Instruction limit
% 21.89/3.93 % (2382391)Termination phase: Saturation
% 21.89/3.93 % (2382391)Time elapsed: 0.074 s
% 21.89/3.93 % (2382391)Peak memory usage: 13 MB
% 21.89/3.93 % (2382391)Instructions burned: 131 (million)
% 21.89/3.93 % (2382398)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=517211335:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.89/3.93 % (2382395)Instruction limit reached!
% 21.89/3.93 % (2382395)------------------------------
% 21.89/3.93 % (2382395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382395)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382395)Termination reason: Instruction limit
% 21.89/3.93 % (2382395)Termination phase: Saturation
% 21.89/3.93 % (2382395)Time elapsed: 0.077 s
% 21.89/3.93 % (2382395)Peak memory usage: 11 MB
% 21.89/3.93 % (2382395)Instructions burned: 182 (million)
% 21.89/3.93 % (2382400)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3963716158:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.89/3.93 % TRYING [1]
% 21.89/3.93 % TRYING [2]
% 21.89/3.93 % TRYING [3]
% 21.89/3.93 % TRYING [4]
% 21.89/3.93 % TRYING [5]
% 21.89/3.93 % (2382390)Instruction limit reached!
% 21.89/3.93 % (2382390)------------------------------
% 21.89/3.93 % (2382390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382390)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382390)Termination reason: Instruction limit
% 21.89/3.93 % (2382390)Termination phase: Finite model building SAT solving
% 21.89/3.93 % (2382390)Time elapsed: 0.311 s
% 21.89/3.93 % (2382390)Peak memory usage: 30 MB
% 21.89/3.93 % (2382390)Instructions burned: 714 (million)
% 21.89/3.93 % (2382392)Instruction limit reached!
% 21.89/3.93 % (2382392)------------------------------
% 21.89/3.93 % (2382392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382392)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382392)Termination reason: Instruction limit
% 21.89/3.93 % (2382392)Termination phase: Saturation
% 21.89/3.93 % (2382392)Time elapsed: 0.306 s
% 21.89/3.93 % (2382392)Peak memory usage: 16 MB
% 21.89/3.93 % (2382392)Instructions burned: 684 (million)
% 21.89/3.93 % (2382402)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2232317609:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 21.89/3.93 % (2382398)Instruction limit reached!
% 21.89/3.93 % (2382398)------------------------------
% 21.89/3.93 % (2382398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382398)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382398)Termination reason: Instruction limit
% 21.89/3.93 % (2382398)Termination phase: Saturation
% 21.89/3.93 % (2382398)Time elapsed: 0.229 s
% 21.89/3.93 % (2382398)Peak memory usage: 16 MB
% 21.89/3.93 % (2382398)Instructions burned: 477 (million)
% 21.89/3.93 % (2382403)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1857690143:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 21.89/3.93 % TRYING [6]
% 21.89/3.93 % (2382400)Instruction limit reached!
% 21.89/3.93 % (2382400)------------------------------
% 21.89/3.93 % (2382400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382400)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382400)Termination reason: Instruction limit
% 21.89/3.93 % (2382400)Termination phase: Finite model building constraint generation
% 21.89/3.93 % (2382400)Time elapsed: 0.233 s
% 21.89/3.93 % (2382400)Peak memory usage: 24 MB
% 21.89/3.93 % (2382400)Instructions burned: 867 (million)
% 21.89/3.93 % TRYING [6]
% 21.89/3.93 % (2382405)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=3414019373: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)
% 21.89/3.93 % (2382407)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=28779518:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 21.89/3.93 % (2382405)Instruction limit reached!
% 21.89/3.93 % (2382405)------------------------------
% 21.89/3.93 % (2382405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382405)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382405)Termination reason: Instruction limit
% 21.89/3.93 % (2382405)Termination phase: Saturation
% 21.89/3.93 % (2382405)Time elapsed: 0.377 s
% 21.89/3.93 % (2382405)Peak memory usage: 18 MB
% 21.89/3.93 % (2382405)Instructions burned: 692 (million)
% 21.89/3.93 % (2382407)Instruction limit reached!
% 21.89/3.93 % (2382407)------------------------------
% 21.89/3.93 % (2382407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382407)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382407)Termination reason: Instruction limit
% 21.89/3.93 % (2382407)Termination phase: Saturation
% 21.89/3.93 % (2382407)Time elapsed: 0.382 s
% 21.89/3.93 % (2382407)Peak memory usage: 18 MB
% 21.89/3.93 % (2382407)Instructions burned: 880 (million)
% 21.89/3.93 % (2382403)Instruction limit reached!
% 21.89/3.93 % (2382403)------------------------------
% 21.89/3.93 % (2382403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382403)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382403)Termination reason: Instruction limit
% 21.89/3.93 % (2382403)Termination phase: Finite model building constraint generation
% 21.89/3.93 % (2382403)Time elapsed: 0.421 s
% 21.89/3.93 % (2382403)Peak memory usage: 107 MB
% 21.89/3.93 % (2382403)Instructions burned: 889 (million)
% 21.89/3.93 % (2382410)fmb+10_1_sil=64000:random_seed=2530691311:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 21.89/3.93 % TRYING [1]
% 21.89/3.93 % TRYING [2]
% 21.89/3.93 % TRYING [3]
% 21.89/3.93 % (2382413)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3397286045:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 21.89/3.93 % (2382411)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2109925493:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 21.89/3.93 % TRYING [8]
% 21.89/3.93 % TRYING [20]
% 21.89/3.93 % TRYING [4]
% 21.89/3.93 % TRYING [5]
% 21.89/3.93 % (2382402)Instruction limit reached!
% 21.89/3.93 % (2382402)------------------------------
% 21.89/3.93 % (2382402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382402)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382402)Termination reason: Instruction limit
% 21.89/3.93 % (2382402)Termination phase: Saturation
% 21.89/3.93 % (2382402)Time elapsed: 0.605 s
% 21.89/3.93 % (2382402)Peak memory usage: 23 MB
% 21.89/3.93 % (2382402)Instructions burned: 1180 (million)
% 21.89/3.93 % (2382416)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4040794381:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.89/3.93 % (2382413)Instruction limit reached!
% 21.89/3.93 % (2382413)------------------------------
% 21.89/3.93 % (2382413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382413)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382413)Termination reason: Instruction limit
% 21.89/3.93 % (2382413)Termination phase: Finite model building constraint generation
% 21.89/3.93 % (2382413)Time elapsed: 0.246 s
% 21.89/3.93 % (2382413)Peak memory usage: 98 MB
% 21.89/3.93 % (2382413)Instructions burned: 921 (million)
% 21.89/3.93 % (2382418)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3489202750:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 21.89/3.93 % TRYING [6]
% 21.89/3.93 % (2382418)Instruction limit reached!
% 21.89/3.93 % (2382418)------------------------------
% 21.89/3.93 % (2382418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382418)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382418)Termination reason: Instruction limit
% 21.89/3.93 % (2382418)Termination phase: Saturation
% 21.89/3.93 % (2382418)Time elapsed: 0.518 s
% 21.89/3.93 % (2382418)Peak memory usage: 26 MB
% 21.89/3.93 % (2382418)Instructions burned: 1472 (million)
% 21.89/3.93 % (2382423)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=149718825:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 21.89/3.93 % (2382423)Cannot represent all propositional literals internally
% 21.89/3.93 % (2382423)Refutation not found, incomplete strategy
% 21.89/3.93 % (2382423)------------------------------
% 21.89/3.93 % (2382423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382423)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382423)Termination reason: Refutation not found, incomplete strategy
% 21.89/3.93 % (2382423)Time elapsed: 0.002 s
% 21.89/3.93 % (2382423)Peak memory usage: 10 MB
% 21.89/3.93 % (2382423)Instructions burned: 4 (million)
% 21.89/3.93 % (2382423)------------------------------
% 21.89/3.93 % (2382423)------------------------------
% 21.89/3.93 % (2382425)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1536638430:fmbsr=2.30978:i=2174_2982 on theBenchmark for (2982ds/2174Mi)
% 21.89/3.93 % TRYING [16]
% 21.89/3.93 % TRYING [7]
% 21.89/3.93 % TRYING [7]
% 21.89/3.93 % (2382425)Instruction limit reached!
% 21.89/3.93 % (2382425)------------------------------
% 21.89/3.93 % (2382425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382425)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382425)Termination reason: Instruction limit
% 21.89/3.93 % (2382425)Termination phase: Finite model building constraint generation
% 21.89/3.93 % (2382425)Time elapsed: 0.670 s
% 21.89/3.93 % (2382425)Peak memory usage: 134 MB
% 21.89/3.93 % (2382425)Instructions burned: 2176 (million)
% 21.89/3.93 % (2382429)ott-2_1_sil=16000:newcnf=on:random_seed=1154953188:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 21.89/3.93 % (2382429)Instruction limit reached!
% 21.89/3.93 % (2382429)------------------------------
% 21.89/3.93 % (2382429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382429)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382429)Termination reason: Instruction limit
% 21.89/3.93 % (2382429)Termination phase: Saturation
% 21.89/3.93 % (2382429)Time elapsed: 0.506 s
% 21.89/3.93 % (2382429)Peak memory usage: 21 MB
% 21.89/3.93 % (2382429)Instructions burned: 869 (million)
% 21.89/3.93 % (2382431)ott+10_1_sil=32000:tgt=ground:random_seed=1255229951:i=5114:av=off_2970 on theBenchmark for (2970ds/5114Mi)
% 21.89/3.93 % (2382416)Instruction limit reached!
% 21.89/3.93 % (2382416)------------------------------
% 21.89/3.93 % (2382416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382416)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382416)Termination reason: Instruction limit
% 21.89/3.93 % (2382416)Termination phase: Saturation
% 21.89/3.93 % (2382416)Time elapsed: 2.380 s
% 21.89/3.93 % (2382416)Peak memory usage: 47 MB
% 21.89/3.93 % (2382416)Instructions burned: 5132 (million)
% 21.89/3.93 % (2382431) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2382371-2382431"...
% 21.89/3.93 % (2382431)...printing done.
% 21.89/3.93 % (2382431)Refutation found. Thanks to Tanya!
% 21.89/3.93 % SZS status Unsatisfiable for theBenchmark
% 21.89/3.93 % SZS output start Proof for theBenchmark
% See solution above
% 21.89/3.93 % (2382431)------------------------------
% 21.89/3.93 % (2382431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.93 % (2382431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.93 % (2382431)CaDiCaL version: 2.1.3
% 21.89/3.93 % (2382431)Termination reason: Refutation
% 21.89/3.93 % (2382431)Time elapsed: 0.461 s
% 21.89/3.93 % (2382431)Peak memory usage: 23 MB
% 21.89/3.93 % (2382431)Instructions burned: 831 (million)
% 21.89/3.93 % (2382371)Success in time 3.55 s
% 21.89/3.93 % Vampire exiting
%------------------------------------------------------------------------------