%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO028-1 : 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 : n018.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 09:36:12 AM UTC 2026
% Result : Unsatisfiable 43.06s 6.36s
% Output : Refutation 43.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 86 ( 86 unt; 5 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(multiply(X0,X1),multiply(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
fof(f3,axiom,
! [X0,X1] : multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(multiply(add(X0,X1),add(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f9,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f11,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_add_property) ).
fof(f12,definition,
sF0 = add(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
add(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(b,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
multiply(b,a) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = multiply(c,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
multiply(c,a) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = add(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
add(sF2,sF3) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
sF1 != sF4,
inference(definition_folding,[],[f11,f21,f19,f17,f15,f13]) ).
fof(f23,plain,
! [X2,X0,X1] : multiply(add(X0,X1),multiply(add(X1,X2),X1)) = X1,
inference(forward_demodulation,[],[f5,f10]) ).
fof(f24,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(multiply(X1,X2),X1)) = X1,
inference(forward_demodulation,[],[f2,f9]) ).
fof(f25,plain,
sF2 = multiply(a,b),
inference(forward_demodulation,[],[f17,f8]) ).
fof(f26,plain,
sF3 = multiply(a,c),
inference(forward_demodulation,[],[f19,f8]) ).
fof(f27,plain,
! [X2,X0,X1] : multiply(add(X0,X1),multiply(X1,add(X1,X2))) = X1,
inference(forward_demodulation,[],[f23,f8]) ).
fof(f28,plain,
! [X2,X0,X1] : add(multiply(X0,X1),add(X1,multiply(X1,X2))) = X1,
inference(forward_demodulation,[],[f24,f7]) ).
fof(f42,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f45,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f52,plain,
! [X0,X1] : multiply(add(X0,X1),add(X1,inverse(X0))) = X1,
inference(superposition,[],[f3,f7]) ).
fof(f55,plain,
b = multiply(sF0,add(b,inverse(c))),
inference(superposition,[],[f3,f13]) ).
fof(f59,plain,
! [X2,X0,X1] : add(X0,X1) = add(add(X0,X1),multiply(X2,X0)),
inference(superposition,[],[f1,f3]) ).
fof(f60,plain,
! [X2,X0,X1] : add(X0,X1) = add(X0,add(X1,multiply(X2,X0))),
inference(forward_demodulation,[],[f59,f9]) ).
fof(f67,plain,
a = add(sF3,multiply(a,inverse(c))),
inference(superposition,[],[f6,f26]) ).
fof(f69,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(superposition,[],[f6,f8]) ).
fof(f75,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),add(X2,X0)),
inference(superposition,[],[f4,f6]) ).
fof(f76,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,add(X2,X0))),
inference(forward_demodulation,[],[f75,f10]) ).
fof(f90,plain,
! [X0] : add(sF2,add(sF3,X0)) = add(sF4,X0),
inference(superposition,[],[f9,f21]) ).
fof(f97,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f115,plain,
! [X0] : multiply(sF1,X0) = multiply(a,multiply(sF0,X0)),
inference(superposition,[],[f10,f15]) ).
fof(f117,plain,
! [X0] : multiply(sF3,X0) = multiply(a,multiply(c,X0)),
inference(superposition,[],[f10,f26]) ).
fof(f125,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(superposition,[],[f8,f10]) ).
fof(f169,plain,
! [X2,X3,X0,X1] : multiply(X0,X3) = multiply(add(X1,X0),multiply(multiply(X0,add(X0,X2)),X3)),
inference(superposition,[],[f10,f27]) ).
fof(f177,plain,
! [X2,X3,X0,X1] : multiply(X0,X3) = multiply(add(X1,X0),multiply(X0,multiply(add(X0,X2),X3))),
inference(forward_demodulation,[],[f169,f10]) ).
fof(f206,plain,
! [X2,X3,X0,X1] : multiply(X0,X3) = multiply(X0,multiply(multiply(add(X0,X2),X3),add(X1,X0))),
inference(forward_demodulation,[],[f177,f125]) ).
fof(f223,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(X0,multiply(add(X0,X2),X3)),
inference(forward_demodulation,[],[f206,f76]) ).
fof(f265,plain,
! [X0] : a = add(multiply(X0,a),add(a,sF2)),
inference(superposition,[],[f28,f25]) ).
fof(f300,plain,
! [X0] : a = add(sF2,add(multiply(X0,a),a)),
inference(forward_demodulation,[],[f265,f97]) ).
fof(f330,plain,
! [X0] : a = add(a,add(sF2,multiply(X0,a))),
inference(forward_demodulation,[],[f300,f97]) ).
fof(f350,plain,
a = add(a,sF2),
inference(forward_demodulation,[],[f330,f60]) ).
fof(f441,plain,
c = multiply(c,sF0),
inference(superposition,[],[f42,f13]) ).
fof(f442,plain,
sF3 = multiply(sF3,sF4),
inference(superposition,[],[f42,f21]) ).
fof(f491,plain,
c = add(c,sF3),
inference(superposition,[],[f45,f26]) ).
fof(f1098,plain,
add(sF2,a) = add(sF4,multiply(a,inverse(c))),
inference(superposition,[],[f90,f67]) ).
fof(f1101,plain,
! [X0] : add(sF4,X0) = add(sF2,add(X0,sF3)),
inference(superposition,[],[f90,f7]) ).
fof(f1130,plain,
add(a,sF2) = add(sF4,multiply(a,inverse(c))),
inference(forward_demodulation,[],[f1098,f7]) ).
fof(f1135,plain,
a = add(sF4,multiply(a,inverse(c))),
inference(forward_demodulation,[],[f1130,f350]) ).
fof(f1150,plain,
multiply(a,b) = multiply(sF1,add(b,inverse(c))),
inference(superposition,[],[f115,f55]) ).
fof(f1153,plain,
! [X0] : multiply(sF1,X0) = multiply(a,multiply(X0,sF0)),
inference(superposition,[],[f115,f8]) ).
fof(f1182,plain,
sF2 = multiply(sF1,add(b,inverse(c))),
inference(forward_demodulation,[],[f1150,f25]) ).
fof(f2344,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(X1),add(X1,X0)),
inference(superposition,[],[f76,f52]) ).
fof(f19569,plain,
! [X0] : multiply(sF4,X0) = multiply(sF4,multiply(a,X0)),
inference(superposition,[],[f223,f1135]) ).
fof(f19576,plain,
! [X0] : multiply(sF4,X0) = multiply(a,multiply(X0,sF4)),
inference(forward_demodulation,[],[f19569,f125]) ).
fof(f19685,plain,
multiply(inverse(c),sF1) = multiply(inverse(c),sF2),
inference(superposition,[],[f76,f1182]) ).
fof(f19742,plain,
multiply(inverse(c),sF1) = multiply(sF2,inverse(c)),
inference(forward_demodulation,[],[f19685,f8]) ).
fof(f19752,plain,
multiply(sF2,inverse(c)) = multiply(sF1,inverse(c)),
inference(forward_demodulation,[],[f19742,f8]) ).
fof(f27522,plain,
add(sF4,c) = add(sF2,c),
inference(superposition,[],[f1101,f491]) ).
fof(f27622,plain,
add(sF4,c) = add(c,sF2),
inference(forward_demodulation,[],[f27522,f7]) ).
fof(f27645,plain,
add(c,sF4) = add(c,sF2),
inference(forward_demodulation,[],[f27622,f7]) ).
fof(f28718,plain,
multiply(a,c) = multiply(sF1,c),
inference(superposition,[],[f1153,f441]) ).
fof(f28822,plain,
multiply(a,c) = multiply(c,sF1),
inference(forward_demodulation,[],[f28718,f8]) ).
fof(f28849,plain,
sF3 = multiply(c,sF1),
inference(forward_demodulation,[],[f28822,f26]) ).
fof(f28891,plain,
sF1 = add(sF3,multiply(sF1,inverse(c))),
inference(superposition,[],[f69,f28849]) ).
fof(f74583,plain,
multiply(inverse(c),sF4) = multiply(inverse(c),add(c,sF2)),
inference(superposition,[],[f2344,f27645]) ).
fof(f74858,plain,
multiply(inverse(c),sF2) = multiply(inverse(c),sF4),
inference(forward_demodulation,[],[f74583,f2344]) ).
fof(f75041,plain,
multiply(inverse(c),sF2) = multiply(sF4,inverse(c)),
inference(forward_demodulation,[],[f74858,f8]) ).
fof(f75174,plain,
multiply(sF2,inverse(c)) = multiply(sF4,inverse(c)),
inference(forward_demodulation,[],[f75041,f8]) ).
fof(f75216,plain,
multiply(sF1,inverse(c)) = multiply(sF4,inverse(c)),
inference(forward_demodulation,[],[f75174,f19752]) ).
fof(f79474,plain,
multiply(sF3,sF4) = multiply(sF4,c),
inference(superposition,[],[f117,f19576]) ).
fof(f79595,plain,
multiply(sF3,sF4) = multiply(c,sF4),
inference(forward_demodulation,[],[f79474,f8]) ).
fof(f79638,plain,
sF3 = multiply(c,sF4),
inference(forward_demodulation,[],[f79595,f442]) ).
fof(f81699,plain,
sF4 = add(sF3,multiply(sF4,inverse(c))),
inference(superposition,[],[f69,f79638]) ).
fof(f81764,plain,
sF4 = add(sF3,multiply(sF1,inverse(c))),
inference(forward_demodulation,[],[f81699,f75216]) ).
fof(f81786,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f81764,f28891]) ).
fof(f81798,plain,
$false,
inference(forward_subsumption_resolution,[],[f81786,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:07:10 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 15.43/2.48 % (3788077)Will run a generic schedule for satisfiability detection.
% 15.43/2.48 % (3788083)% WARNING: option uhcvi not known.
% 15.43/2.48 % (3788083)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2669849057:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.43/2.48 % (3788082)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1292347188_2999 on theBenchmark for (2999ds/0Mi)
% 15.43/2.48 % (3788084)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1291891013:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.43/2.48 % (3788085)dis+10_1_sil=32000:sp=arity:random_seed=3902570034:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.43/2.48 % (3788086)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1323784238:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.43/2.48 % (3788088)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2836198065:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.43/2.48 % (3788087)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1224845673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.43/2.48 % TRYING [1]
% 15.43/2.48 % TRYING [2]
% 15.43/2.48 % TRYING [3]
% 15.43/2.48 % TRYING [4]
% 15.43/2.48 % TRYING [5]
% 15.43/2.48 % (3788085)Instruction limit reached!
% 15.43/2.48 % (3788085)------------------------------
% 15.43/2.48 % (3788085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.48 % (3788085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.48 % (3788085)CaDiCaL version: 2.1.3
% 15.43/2.48 % (3788085)Termination reason: Instruction limit
% 15.43/2.48 % (3788085)Termination phase: Saturation
% 15.43/2.48 % (3788085)Time elapsed: 0.058 s
% 15.43/2.48 % (3788085)Peak memory usage: 12 MB
% 15.43/2.48 % (3788085)Instructions burned: 104 (million)
% 15.43/2.48 % (3788086)Instruction limit reached!
% 15.43/2.48 % (3788086)------------------------------
% 15.43/2.48 % (3788086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.48 % (3788086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.48 % (3788086)CaDiCaL version: 2.1.3
% 15.43/2.48 % (3788086)Termination reason: Instruction limit
% 15.43/2.48 % (3788086)Termination phase: Saturation
% 15.43/2.48 % (3788086)Time elapsed: 0.066 s
% 15.43/2.48 % (3788086)Peak memory usage: 12 MB
% 15.43/2.48 % (3788086)Instructions burned: 116 (million)
% 15.43/2.48 % TRYING [6]
% 15.43/2.48 % (3788087)Instruction limit reached!
% 15.43/2.48 % (3788087)------------------------------
% 15.43/2.48 % (3788087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.48 % (3788087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.48 % (3788087)CaDiCaL version: 2.1.3
% 15.43/2.48 % (3788087)Termination reason: Instruction limit
% 15.43/2.48 % (3788087)Termination phase: Saturation
% 15.43/2.48 % (3788087)Time elapsed: 0.076 s
% 15.43/2.48 % (3788087)Peak memory usage: 12 MB
% 15.43/2.48 % (3788087)Instructions burned: 131 (million)
% 15.43/2.48 % (3788096)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2692203377:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.43/2.48 % TRYING [1]
% 15.43/2.48 % TRYING [2]
% 15.43/2.48 % TRYING [3]
% 15.43/2.48 % (3788097)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1251309916:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.43/2.48 % TRYING [4]
% 15.43/2.48 % (3788088)Instruction limit reached!
% 15.43/2.48 % (3788088)------------------------------
% 15.43/2.48 % (3788088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.48 % (3788088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.48 % (3788088)CaDiCaL version: 2.1.3
% 15.43/2.48 % (3788088)Termination reason: Instruction limit
% 15.43/2.48 % (3788088)Termination phase: Saturation
% 15.43/2.48 % (3788088)Time elapsed: 0.093 s
% 15.43/2.48 % (3788088)Peak memory usage: 12 MB
% 15.43/2.48 % (3788088)Instructions burned: 159 (million)
% 15.43/2.48 % (3788098)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=506096526:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.43/2.48 % TRYING [5]
% 15.43/2.48 % (3788101)ott-21_1_sil=16000:fs=off:random_seed=892785757:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.43/2.48 % TRYING [6]
% 15.43/2.48 % (3788097)Instruction limit reached!
% 15.43/2.48 % (3788097)------------------------------
% 15.43/2.48 % (3788097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788097)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788097)Termination reason: Instruction limit
% 43.06/6.36 % (3788097)Termination phase: Saturation
% 43.06/6.36 % (3788097)Time elapsed: 0.082 s
% 43.06/6.36 % (3788097)Peak memory usage: 12 MB
% 43.06/6.36 % (3788097)Instructions burned: 131 (million)
% 43.06/6.36 % (3788101)Instruction limit reached!
% 43.06/6.36 % (3788101)------------------------------
% 43.06/6.36 % (3788101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788101)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788101)Termination reason: Instruction limit
% 43.06/6.36 % (3788101)Termination phase: Saturation
% 43.06/6.36 % (3788101)Time elapsed: 0.077 s
% 43.06/6.36 % (3788101)Peak memory usage: 12 MB
% 43.06/6.36 % (3788101)Instructions burned: 181 (million)
% 43.06/6.36 % (3788104)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3720598657:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 43.06/6.36 % (3788106)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2600623871:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.06/6.36 % TRYING [1]
% 43.06/6.36 % TRYING [2]
% 43.06/6.36 % TRYING [3]
% 43.06/6.36 % TRYING [4]
% 43.06/6.36 % TRYING [5]
% 43.06/6.36 % TRYING [7]
% 43.06/6.36 % TRYING [6]
% 43.06/6.36 % (3788096)Instruction limit reached!
% 43.06/6.36 % (3788096)------------------------------
% 43.06/6.36 % (3788096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788096)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788096)Termination reason: Instruction limit
% 43.06/6.36 % (3788096)Termination phase: Finite model building SAT solving
% 43.06/6.36 % (3788096)Time elapsed: 0.310 s
% 43.06/6.36 % (3788096)Peak memory usage: 27 MB
% 43.06/6.36 % (3788096)Instructions burned: 715 (million)
% 43.06/6.36 % (3788108)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1610517752:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 43.06/6.36 % TRYING [7]
% 43.06/6.36 % (3788098)Instruction limit reached!
% 43.06/6.36 % (3788098)------------------------------
% 43.06/6.36 % (3788098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788098)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788098)Termination reason: Instruction limit
% 43.06/6.36 % (3788098)Termination phase: Saturation
% 43.06/6.36 % (3788098)Time elapsed: 0.342 s
% 43.06/6.36 % (3788098)Peak memory usage: 17 MB
% 43.06/6.36 % (3788098)Instructions burned: 685 (million)
% 43.06/6.36 % (3788104)Instruction limit reached!
% 43.06/6.36 % (3788104)------------------------------
% 43.06/6.36 % (3788104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788104)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788104)Termination reason: Instruction limit
% 43.06/6.36 % (3788104)Termination phase: Saturation
% 43.06/6.36 % (3788104)Time elapsed: 0.256 s
% 43.06/6.36 % (3788104)Peak memory usage: 16 MB
% 43.06/6.36 % (3788104)Instructions burned: 477 (million)
% 43.06/6.36 % (3788110)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=397759974:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 43.06/6.36 % (3788111)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=2876632525: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)
% 43.06/6.36 % TRYING [14]
% 43.06/6.36 % TRYING [7]
% 43.06/6.36 % (3788106)Instruction limit reached!
% 43.06/6.36 % (3788106)------------------------------
% 43.06/6.36 % (3788106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788106)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788106)Termination reason: Instruction limit
% 43.06/6.36 % (3788106)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788106)Time elapsed: 0.386 s
% 43.06/6.36 % (3788106)Peak memory usage: 19 MB
% 43.06/6.36 % (3788106)Instructions burned: 867 (million)
% 43.06/6.36 % (3788114)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1405736358:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 43.06/6.36 % (3788110)Instruction limit reached!
% 43.06/6.36 % (3788110)------------------------------
% 43.06/6.36 % (3788110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788110)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788110)Termination reason: Instruction limit
% 43.06/6.36 % (3788110)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788110)Time elapsed: 0.320 s
% 43.06/6.36 % (3788110)Peak memory usage: 76 MB
% 43.06/6.36 % (3788110)Instructions burned: 892 (million)
% 43.06/6.36 % (3788116)fmb+10_1_sil=64000:random_seed=2330476131:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 43.06/6.36 % TRYING [1]
% 43.06/6.36 % TRYING [2]
% 43.06/6.36 % TRYING [3]
% 43.06/6.36 % TRYING [4]
% 43.06/6.36 % TRYING [5]
% 43.06/6.36 % (3788111)Instruction limit reached!
% 43.06/6.36 % (3788111)------------------------------
% 43.06/6.36 % (3788111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788111)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788111)Termination reason: Instruction limit
% 43.06/6.36 % (3788111)Termination phase: Saturation
% 43.06/6.36 % (3788111)Time elapsed: 0.391 s
% 43.06/6.36 % (3788111)Peak memory usage: 17 MB
% 43.06/6.36 % (3788111)Instructions burned: 693 (million)
% 43.06/6.36 % (3788118)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1123947264:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 43.06/6.36 % TRYING [20]
% 43.06/6.36 % TRYING [6]
% 43.06/6.36 % (3788114)Instruction limit reached!
% 43.06/6.36 % (3788114)------------------------------
% 43.06/6.36 % (3788114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788114)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788114)Termination reason: Instruction limit
% 43.06/6.36 % (3788114)Termination phase: Saturation
% 43.06/6.36 % (3788114)Time elapsed: 0.468 s
% 43.06/6.36 % (3788114)Peak memory usage: 19 MB
% 43.06/6.36 % (3788114)Instructions burned: 879 (million)
% 43.06/6.36 % (3788108)Instruction limit reached!
% 43.06/6.36 % (3788108)------------------------------
% 43.06/6.36 % (3788108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788108)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788108)Termination reason: Instruction limit
% 43.06/6.36 % (3788108)Termination phase: Saturation
% 43.06/6.36 % (3788108)Time elapsed: 0.683 s
% 43.06/6.36 % (3788108)Peak memory usage: 25 MB
% 43.06/6.36 % (3788108)Instructions burned: 1181 (million)
% 43.06/6.36 % (3788120)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=504852949:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 43.06/6.36 % TRYING [8]
% 43.06/6.36 % (3788121)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3401004086:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 43.06/6.36 % TRYING [7]
% 43.06/6.36 % TRYING [9]
% 43.06/6.36 % (3788120)Instruction limit reached!
% 43.06/6.36 % (3788120)------------------------------
% 43.06/6.36 % (3788120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788120)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788120)Termination reason: Instruction limit
% 43.06/6.36 % (3788120)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788120)Time elapsed: 0.452 s
% 43.06/6.36 % (3788120)Peak memory usage: 43 MB
% 43.06/6.36 % (3788120)Instructions burned: 922 (million)
% 43.06/6.36 % (3788124)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2121919915:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 43.06/6.36 % (3788124)Instruction limit reached!
% 43.06/6.36 % (3788124)------------------------------
% 43.06/6.36 % (3788124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788124)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788124)Termination reason: Instruction limit
% 43.06/6.36 % (3788124)Termination phase: Saturation
% 43.06/6.36 % (3788124)Time elapsed: 0.627 s
% 43.06/6.36 % (3788124)Peak memory usage: 21 MB
% 43.06/6.36 % (3788124)Instructions burned: 1474 (million)
% 43.06/6.36 % (3788126)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2667396113:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 43.06/6.36 % TRYING [77]
% 43.06/6.36 % TRYING [8]
% 43.06/6.36 % TRYING [9]
% 43.06/6.36 % TRYING [8]
% 43.06/6.36 % TRYING [9]
% 43.06/6.36 % (3788121)Instruction limit reached!
% 43.06/6.36 % (3788121)------------------------------
% 43.06/6.36 % (3788121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788121)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788121)Termination reason: Instruction limit
% 43.06/6.36 % (3788121)Termination phase: Saturation
% 43.06/6.36 % (3788121)Time elapsed: 2.884 s
% 43.06/6.36 % (3788121)Peak memory usage: 56 MB
% 43.06/6.36 % (3788121)Instructions burned: 5132 (million)
% 43.06/6.36 % (3788128)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3845604868:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 43.06/6.36 % TRYING [16]
% 43.06/6.36 % (3788118)Instruction limit reached!
% 43.06/6.36 % (3788118)------------------------------
% 43.06/6.36 % (3788118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788118)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788118)Termination reason: Instruction limit
% 43.06/6.36 % (3788118)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788118)Time elapsed: 3.483 s
% 43.06/6.36 % (3788118)Peak memory usage: 671 MB
% 43.06/6.36 % (3788118)Instructions burned: 9515 (million)
% 43.06/6.36 % (3788130)ott-2_1_sil=16000:newcnf=on:random_seed=410002694:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 43.06/6.36 % (3788126)Instruction limit reached!
% 43.06/6.36 % (3788126)------------------------------
% 43.06/6.36 % (3788126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788126)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788126)Termination reason: Instruction limit
% 43.06/6.36 % (3788126)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788126)Time elapsed: 2.322 s
% 43.06/6.36 % (3788126)Peak memory usage: 429 MB
% 43.06/6.36 % (3788126)Instructions burned: 6325 (million)
% 43.06/6.36 % (3788132)ott+10_1_sil=32000:tgt=ground:random_seed=3079568564:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 43.06/6.36 % (3788128)Instruction limit reached!
% 43.06/6.36 % (3788128)------------------------------
% 43.06/6.36 % (3788128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788128)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788128)Termination reason: Instruction limit
% 43.06/6.36 % (3788128)Termination phase: Finite model building constraint generation
% 43.06/6.36 % (3788128)Time elapsed: 0.726 s
% 43.06/6.36 % (3788128)Peak memory usage: 133 MB
% 43.06/6.36 % (3788128)Instructions burned: 2176 (million)
% 43.06/6.36 % (3788134)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=859886117:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 43.06/6.36 % TRYING [1]
% 43.06/6.36 % TRYING [2]
% 43.06/6.36 % TRYING [3]
% 43.06/6.36 % TRYING [4]
% 43.06/6.36 % TRYING [5]
% 43.06/6.36 % TRYING [6]
% 43.06/6.36 % (3788130)Instruction limit reached!
% 43.06/6.36 % (3788130)------------------------------
% 43.06/6.36 % (3788130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.36 % (3788130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.36 % (3788130)CaDiCaL version: 2.1.3
% 43.06/6.36 % (3788130)Termination reason: Instruction limit
% 43.06/6.36 % (3788130)Termination phase: Saturation
% 43.06/6.36 % (3788130)Time elapsed: 0.502 s
% 43.06/6.36 % (3788130)Peak memory usage: 19 MB
% 43.06/6.36 % (3788130)Instructions burned: 870 (million)
% 43.06/6.36 % (3788136)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3911823504:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 43.06/6.36 % TRYING [7]
% 43.06/6.36 % (3788132) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3788077-3788132"...
% 43.06/6.36 % (3788132)...printing done.
% 43.06/6.36 % (3788132)Refutation found. Thanks to Tanya!
% 43.06/6.36 % SZS status Unsatisfiable for theBenchmark
% 43.06/6.36 % SZS output start Proof for theBenchmark
% See solution above
% 43.06/6.37 % (3788132)------------------------------
% 43.06/6.37 % (3788132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.06/6.37 % (3788132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.06/6.37 % (3788132)CaDiCaL version: 2.1.3
% 43.06/6.37 % (3788132)Termination reason: Refutation
% 43.06/6.37 % (3788132)Time elapsed: 1.461 s
% 43.06/6.37 % (3788132)Peak memory usage: 39 MB
% 43.06/6.37 % (3788132)Instructions burned: 2455 (million)
% 43.06/6.37 % (3788077)Success in time 6.143 s
% 43.06/6.37 % Vampire exiting
%------------------------------------------------------------------------------