%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP772-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 10:18:44 AM UTC 2026
% Result : Unsatisfiable 51.26s 11.91s
% Output : Refutation 51.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
fof(f6,axiom,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
fof(f9,axiom,
! [X0] : i(X0) = difference(X0,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
fof(f10,axiom,
! [X0] : j(X0) = quotient(one,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
fof(f32,axiom,
! [X2,X0,X1] : product(a(X0,X1,X2),difference(X2,product(a(X2,X0,X1),X2))) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos29) ).
fof(f33,plain,
! [X2,X0,X1] : one = product(a(X0,X1,X2),difference(X2,product(a(X2,X0,X1),X2))),
inference(reorient_equations,[],[f32]) ).
fof(f34,axiom,
! [X2,X0,X1] : a(X0,i(X1),X2) = a(X0,j(X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos30) ).
fof(f35,axiom,
! [X2,X0,X1] : a(i(X0),X1,X2) = a(j(X0),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos31) ).
fof(f36,axiom,
! [X2,X0,X1] : a(j(X0),X1,X2) = a(X1,X2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos32) ).
fof(f37,negated_conjecture,
a(x0,x1,x1) != a(x1,x1,x0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f49,plain,
! [X2,X0,X1] : a(X0,difference(X1,one),X2) = a(X0,quotient(one,X1),X2),
inference(definition_unfolding,[],[f34,f9,f10]) ).
fof(f50,plain,
! [X2,X0,X1] : a(difference(X0,one),X1,X2) = a(quotient(one,X0),X1,X2),
inference(definition_unfolding,[],[f35,f9,f10]) ).
fof(f51,plain,
! [X2,X0,X1] : a(X1,X2,X0) = a(quotient(one,X0),X1,X2),
inference(definition_unfolding,[],[f36,f10]) ).
fof(f60,plain,
! [X0,X1] : quotient(X0,difference(X1,X0)) = X1,
inference(superposition,[],[f5,f3]) ).
fof(f64,plain,
! [X0,X1] : difference(quotient(X0,X1),X0) = X1,
inference(superposition,[],[f4,f6]) ).
fof(f102,plain,
! [X2,X0,X1] : a(quotient(one,X0),difference(X1,one),X2) = a(quotient(one,X1),X2,X0),
inference(superposition,[],[f51,f49]) ).
fof(f103,plain,
! [X2,X0,X1] : a(X2,X0,X1) = a(quotient(one,X0),difference(X1,one),X2),
inference(forward_demodulation,[],[f102,f51]) ).
fof(f111,plain,
! [X2,X0,X1] : a(X1,X2,X0) = a(difference(X0,one),X1,X2),
inference(forward_demodulation,[],[f50,f51]) ).
fof(f182,plain,
! [X2,X0,X1] : one = product(a(X0,X1,quotient(one,X2)),difference(quotient(one,X2),product(a(X0,X1,X2),quotient(one,X2)))),
inference(superposition,[],[f33,f51]) ).
fof(f190,plain,
! [X2,X0,X1] : a(X0,X1,X2) = quotient(one,difference(X2,product(a(X2,X0,X1),X2))),
inference(superposition,[],[f5,f33]) ).
fof(f191,plain,
! [X2,X0,X1] : difference(X2,product(a(X2,X0,X1),X2)) = difference(a(X0,X1,X2),one),
inference(superposition,[],[f4,f33]) ).
fof(f459,plain,
! [X2,X0,X1] : a(X0,X1,X2) = a(X1,X2,quotient(one,X0)),
inference(superposition,[],[f111,f64]) ).
fof(f1957,plain,
! [X2,X0,X1] : a(X1,difference(X0,one),X2) = a(X0,difference(X2,one),X1),
inference(superposition,[],[f103,f60]) ).
fof(f13741,plain,
! [X0,X1] : one = product(a(quotient(one,X1),X0,quotient(one,X1)),difference(a(X0,X1,quotient(one,X1)),one)),
inference(superposition,[],[f182,f191]) ).
fof(f13840,plain,
! [X0,X1] : one = product(a(X0,quotient(one,X1),X1),difference(a(X0,X1,quotient(one,X1)),one)),
inference(forward_demodulation,[],[f13741,f51]) ).
fof(f13885,plain,
! [X0,X1] : one = product(a(X0,difference(X1,one),X1),difference(a(X0,X1,quotient(one,X1)),one)),
inference(forward_demodulation,[],[f13840,f49]) ).
fof(f581196,plain,
! [X0,X1] : one = product(a(X0,difference(X1,one),X1),difference(a(X1,X0,X1),one)),
inference(forward_demodulation,[],[f13885,f459]) ).
fof(f581368,plain,
! [X0,X1] : a(X0,difference(X1,one),X1) = quotient(one,difference(a(X1,X0,X1),one)),
inference(superposition,[],[f5,f581196]) ).
fof(f581841,plain,
! [X0,X1] : a(X0,difference(X1,one),X1) = a(X1,X0,X1),
inference(forward_demodulation,[],[f581368,f60]) ).
fof(f583190,plain,
! [X0,X1] : a(X0,X1,X0) = a(X0,difference(X1,one),X0),
inference(superposition,[],[f581841,f1957]) ).
fof(f598357,plain,
! [X0,X1] : a(difference(X1,one),X0,X0) = quotient(one,difference(X0,product(a(X0,X1,X0),X0))),
inference(superposition,[],[f190,f583190]) ).
fof(f598551,plain,
! [X0,X1] : a(X1,X0,X0) = a(difference(X1,one),X0,X0),
inference(forward_demodulation,[],[f598357,f190]) ).
fof(f605710,plain,
! [X0,X1] : a(X1,X0,X0) = a(X0,X0,X1),
inference(superposition,[],[f598551,f111]) ).
fof(f606163,plain,
$false,
inference(backward_subsumption_resolution,[],[f37,f605710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP772-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:43:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.60/2.62 % (3326576)Will run a generic schedule for satisfiability detection.
% 15.60/2.62 % (3326582)% WARNING: option uhcvi not known.
% 15.60/2.62 % (3326586)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=209514954:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.60/2.62 % (3326581)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3556162871_2999 on theBenchmark for (2999ds/0Mi)
% 15.60/2.62 % (3326585)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3071985669:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.60/2.62 % (3326582)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2012722927:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.60/2.62 % (3326583)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=558351102:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.60/2.62 % (3326584)dis+10_1_sil=32000:sp=arity:random_seed=3499833729:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.60/2.62 % (3326587)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1716895363:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.60/2.62 % TRYING [1]
% 15.60/2.62 % TRYING [2]
% 15.60/2.62 % TRYING [3]
% 15.60/2.62 % TRYING [4]
% 15.60/2.62 % (3326584)Instruction limit reached!
% 15.60/2.62 % (3326584)------------------------------
% 15.60/2.62 % (3326584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.62 % (3326584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.62 % (3326584)CaDiCaL version: 2.1.3
% 15.60/2.62 % (3326584)Termination reason: Instruction limit
% 15.60/2.62 % (3326584)Termination phase: Saturation
% 15.60/2.62 % (3326584)Time elapsed: 0.059 s
% 15.60/2.62 % (3326584)Peak memory usage: 12 MB
% 15.60/2.62 % (3326584)Instructions burned: 104 (million)
% 15.60/2.62 % (3326585)Instruction limit reached!
% 15.60/2.62 % (3326585)------------------------------
% 15.60/2.62 % (3326585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.62 % (3326585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.62 % (3326585)CaDiCaL version: 2.1.3
% 15.60/2.62 % (3326585)Termination reason: Instruction limit
% 15.60/2.62 % (3326585)Termination phase: Saturation
% 15.60/2.62 % (3326585)Time elapsed: 0.071 s
% 15.60/2.62 % (3326585)Peak memory usage: 12 MB
% 15.60/2.62 % (3326585)Instructions burned: 116 (million)
% 15.60/2.62 % (3326586)Instruction limit reached!
% 15.60/2.62 % (3326586)------------------------------
% 15.60/2.62 % (3326586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.62 % (3326586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.62 % (3326586)CaDiCaL version: 2.1.3
% 15.60/2.62 % (3326586)Termination reason: Instruction limit
% 15.60/2.62 % (3326586)Termination phase: Saturation
% 15.60/2.62 % (3326586)Time elapsed: 0.076 s
% 15.60/2.62 % (3326586)Peak memory usage: 13 MB
% 15.60/2.62 % (3326586)Instructions burned: 133 (million)
% 15.60/2.62 % (3326595)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2427753240:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.60/2.62 % TRYING [1]
% 15.60/2.62 % TRYING [2]
% 15.60/2.62 % (3326596)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1494833334:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.60/2.62 % TRYING [3]
% 15.60/2.62 % (3326597)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=4022222875:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.60/2.62 % (3326587)Instruction limit reached!
% 15.60/2.62 % (3326587)------------------------------
% 15.60/2.62 % (3326587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.62 % (3326587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.62 % (3326587)CaDiCaL version: 2.1.3
% 15.60/2.62 % (3326587)Termination reason: Instruction limit
% 15.60/2.62 % (3326587)Termination phase: Saturation
% 15.60/2.62 % (3326587)Time elapsed: 0.096 s
% 15.60/2.62 % (3326587)Peak memory usage: 12 MB
% 15.60/2.62 % (3326587)Instructions burned: 159 (million)
% 15.60/2.62 % TRYING [5]
% 15.60/2.62 % TRYING [4]
% 15.60/2.62 % (3326601)ott-21_1_sil=16000:fs=off:random_seed=1887962242:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.60/2.62 % (3326596)Instruction limit reached!
% 15.60/2.62 % (3326596)------------------------------
% 15.60/2.62 % (3326596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326596)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326596)Termination reason: Instruction limit
% 49.64/7.41 % (3326596)Termination phase: Saturation
% 49.64/7.41 % (3326596)Time elapsed: 0.087 s
% 49.64/7.41 % (3326596)Peak memory usage: 13 MB
% 49.64/7.41 % (3326596)Instructions burned: 132 (million)
% 49.64/7.41 % (3326603)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=111040761:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 49.64/7.41 % TRYING [5]
% 49.64/7.41 % (3326601)Instruction limit reached!
% 49.64/7.41 % (3326601)------------------------------
% 49.64/7.41 % (3326601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326601)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326601)Termination reason: Instruction limit
% 49.64/7.41 % (3326601)Termination phase: Saturation
% 49.64/7.41 % (3326601)Time elapsed: 0.093 s
% 49.64/7.41 % (3326601)Peak memory usage: 12 MB
% 49.64/7.41 % (3326601)Instructions burned: 180 (million)
% 49.64/7.41 % (3326605)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1961068415:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 49.64/7.41 % TRYING [1]
% 49.64/7.41 % TRYING [2]
% 49.64/7.41 % TRYING [3]
% 49.64/7.41 % TRYING [4]
% 49.64/7.41 % (3326595)Instruction limit reached!
% 49.64/7.41 % (3326595)------------------------------
% 49.64/7.41 % (3326595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326595)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326595)Termination reason: Instruction limit
% 49.64/7.41 % (3326595)Termination phase: Finite model building constraint generation
% 49.64/7.41 % (3326595)Time elapsed: 0.269 s
% 49.64/7.41 % (3326595)Peak memory usage: 39 MB
% 49.64/7.41 % (3326595)Instructions burned: 716 (million)
% 49.64/7.41 % TRYING [6]
% 49.64/7.41 % (3326607)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2235476166:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 49.64/7.41 % (3326597)Instruction limit reached!
% 49.64/7.41 % (3326597)------------------------------
% 49.64/7.41 % (3326597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326597)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326597)Termination reason: Instruction limit
% 49.64/7.41 % (3326597)Termination phase: Saturation
% 49.64/7.41 % (3326597)Time elapsed: 0.374 s
% 49.64/7.41 % (3326597)Peak memory usage: 17 MB
% 49.64/7.41 % (3326597)Instructions burned: 686 (million)
% 49.64/7.41 % TRYING [5]
% 49.64/7.41 % (3326603)Instruction limit reached!
% 49.64/7.41 % (3326603)------------------------------
% 49.64/7.41 % (3326603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326603)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326603)Termination reason: Instruction limit
% 49.64/7.41 % (3326603)Termination phase: Saturation
% 49.64/7.41 % (3326603)Time elapsed: 0.278 s
% 49.64/7.41 % (3326603)Peak memory usage: 16 MB
% 49.64/7.41 % (3326603)Instructions burned: 478 (million)
% 49.64/7.41 % (3326609)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=998547422:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 49.64/7.41 % (3326610)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=1675580997:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 49.64/7.41 % (3326605)Instruction limit reached!
% 49.64/7.41 % (3326605)------------------------------
% 49.64/7.41 % (3326605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.64/7.41 % (3326605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.64/7.41 % (3326605)CaDiCaL version: 2.1.3
% 49.64/7.41 % (3326605)Termination reason: Instruction limit
% 49.64/7.41 % (3326605)Termination phase: Finite model building constraint generation
% 49.64/7.41 % (3326605)Time elapsed: 0.342 s
% 49.64/7.41 % (3326605)Peak memory usage: 29 MB
% 49.64/7.41 % (3326605)Instructions burned: 866 (million)
% 49.64/7.41 % (3326613)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3999943405:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 49.64/7.41 % (3326609)Instruction limit reached!
% 51.26/11.91 % (3326609)------------------------------
% 51.26/11.91 % (3326609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326609)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326609)Termination reason: Instruction limit
% 51.26/11.91 % (3326609)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326609)Time elapsed: 0.406 s
% 51.26/11.91 % (3326609)Peak memory usage: 109 MB
% 51.26/11.91 % (3326609)Instructions burned: 891 (million)
% 51.26/11.91 % (3326610)Instruction limit reached!
% 51.26/11.91 % (3326610)------------------------------
% 51.26/11.91 % (3326610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326610)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326610)Termination reason: Instruction limit
% 51.26/11.91 % (3326610)Termination phase: Saturation
% 51.26/11.91 % (3326610)Time elapsed: 0.423 s
% 51.26/11.91 % (3326610)Peak memory usage: 19 MB
% 51.26/11.91 % (3326610)Instructions burned: 693 (million)
% 51.26/11.91 % (3326615)fmb+10_1_sil=64000:random_seed=3226871214:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 51.26/11.91 % TRYING [1]
% 51.26/11.91 % TRYING [2]
% 51.26/11.91 % (3326616)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=406960756:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 51.26/11.91 % TRYING [3]
% 51.26/11.91 % TRYING [20]
% 51.26/11.91 % TRYING [7]
% 51.26/11.91 % TRYING [4]
% 51.26/11.91 % (3326607)Instruction limit reached!
% 51.26/11.91 % (3326607)------------------------------
% 51.26/11.91 % (3326607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326607)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326607)Termination reason: Instruction limit
% 51.26/11.91 % (3326607)Termination phase: Saturation
% 51.26/11.91 % (3326607)Time elapsed: 0.708 s
% 51.26/11.91 % (3326607)Peak memory usage: 24 MB
% 51.26/11.91 % (3326607)Instructions burned: 1180 (million)
% 51.26/11.91 % (3326613)Instruction limit reached!
% 51.26/11.91 % (3326613)------------------------------
% 51.26/11.91 % (3326613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326613)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326613)Termination reason: Instruction limit
% 51.26/11.91 % (3326613)Termination phase: Saturation
% 51.26/11.91 % (3326613)Time elapsed: 0.496 s
% 51.26/11.91 % (3326613)Peak memory usage: 20 MB
% 51.26/11.91 % (3326613)Instructions burned: 879 (million)
% 51.26/11.91 % (3326619)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=75255675:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 51.26/11.91 % TRYING [8]
% 51.26/11.91 % (3326620)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4094070969:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 51.26/11.91 % TRYING [5]
% 51.26/11.91 % (3326619)Instruction limit reached!
% 51.26/11.91 % (3326619)------------------------------
% 51.26/11.91 % (3326619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326619)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326619)Termination reason: Instruction limit
% 51.26/11.91 % (3326619)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326619)Time elapsed: 0.327 s
% 51.26/11.91 % (3326619)Peak memory usage: 73 MB
% 51.26/11.91 % (3326619)Instructions burned: 921 (million)
% 51.26/11.91 % (3326623)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2002950725:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 51.26/11.91 % TRYING [6]
% 51.26/11.91 % (3326623)Instruction limit reached!
% 51.26/11.91 % (3326623)------------------------------
% 51.26/11.91 % (3326623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326623)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326623)Termination reason: Instruction limit
% 51.26/11.91 % (3326623)Termination phase: Saturation
% 51.26/11.91 % (3326623)Time elapsed: 0.701 s
% 51.26/11.91 % (3326623)Peak memory usage: 26 MB
% 51.26/11.91 % (3326623)Instructions burned: 1473 (million)
% 51.26/11.91 % (3326625)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2603309930:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 51.26/11.91 % TRYING [77]
% 51.26/11.91 % TRYING [7]
% 51.26/11.91 % (3326620)Instruction limit reached!
% 51.26/11.91 % (3326620)------------------------------
% 51.26/11.91 % (3326620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326620)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326620)Termination reason: Instruction limit
% 51.26/11.91 % (3326620)Termination phase: Saturation
% 51.26/11.91 % (3326620)Time elapsed: 2.879 s
% 51.26/11.91 % (3326620)Peak memory usage: 59 MB
% 51.26/11.91 % (3326620)Instructions burned: 5132 (million)
% 51.26/11.91 % (3326627)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=914120485:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 51.26/11.91 % TRYING [16]
% 51.26/11.91 % (3326625)Instruction limit reached!
% 51.26/11.91 % (3326625)------------------------------
% 51.26/11.91 % (3326625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326625)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326625)Termination reason: Instruction limit
% 51.26/11.91 % (3326625)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326625)Time elapsed: 2.143 s
% 51.26/11.91 % (3326625)Peak memory usage: 381 MB
% 51.26/11.91 % (3326625)Instructions burned: 6326 (million)
% 51.26/11.91 % (3326616)Instruction limit reached!
% 51.26/11.91 % (3326616)------------------------------
% 51.26/11.91 % (3326616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326616)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326616)Termination reason: Instruction limit
% 51.26/11.91 % (3326616)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326616)Time elapsed: 3.395 s
% 51.26/11.91 % (3326616)Peak memory usage: 624 MB
% 51.26/11.91 % (3326616)Instructions burned: 9515 (million)
% 51.26/11.91 % (3326629)ott-2_1_sil=16000:newcnf=on:random_seed=2424560205:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 51.26/11.91 % (3326631)ott+10_1_sil=32000:tgt=ground:random_seed=2313326335:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 51.26/11.91 % (3326627)Instruction limit reached!
% 51.26/11.91 % (3326627)------------------------------
% 51.26/11.91 % (3326627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326627)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326627)Termination reason: Instruction limit
% 51.26/11.91 % (3326627)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326627)Time elapsed: 0.734 s
% 51.26/11.91 % (3326627)Peak memory usage: 128 MB
% 51.26/11.91 % (3326627)Instructions burned: 2177 (million)
% 51.26/11.91 % (3326633)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=720541576:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 51.26/11.91 % TRYING [1]
% 51.26/11.91 % TRYING [2]
% 51.26/11.91 % TRYING [3]
% 51.26/11.91 % TRYING [4]
% 51.26/11.91 % TRYING [5]
% 51.26/11.91 % (3326629)Instruction limit reached!
% 51.26/11.91 % (3326629)------------------------------
% 51.26/11.91 % (3326629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326629)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326629)Termination reason: Instruction limit
% 51.26/11.91 % (3326629)Termination phase: Saturation
% 51.26/11.91 % (3326629)Time elapsed: 0.535 s
% 51.26/11.91 % (3326629)Peak memory usage: 20 MB
% 51.26/11.91 % (3326629)Instructions burned: 869 (million)
% 51.26/11.91 % (3326635)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3040343300:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 51.26/11.91 % TRYING [6]
% 51.26/11.91 % TRYING [8]
% 51.26/11.91 % TRYING [7]
% 51.26/11.91 % (3326635)Instruction limit reached!
% 51.26/11.91 % (3326635)------------------------------
% 51.26/11.91 % (3326635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326635)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326635)Termination reason: Instruction limit
% 51.26/11.91 % (3326635)Termination phase: Saturation
% 51.26/11.91 % (3326635)Time elapsed: 1.997 s
% 51.26/11.91 % (3326635)Peak memory usage: 45 MB
% 51.26/11.91 % (3326635)Instructions burned: 3512 (million)
% 51.26/11.91 % (3326637)dis+21_1_sil=32000:sas=cadical:random_seed=2440198586:i=3773:amm=off_2930 on theBenchmark for (2930ds/3773Mi)
% 51.26/11.91 % (3326631)Instruction limit reached!
% 51.26/11.91 % (3326631)------------------------------
% 51.26/11.91 % (3326631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326631)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326631)Termination reason: Instruction limit
% 51.26/11.91 % (3326631)Termination phase: Saturation
% 51.26/11.91 % (3326631)Time elapsed: 3.517 s
% 51.26/11.91 % (3326631)Peak memory usage: 70 MB
% 51.26/11.91 % (3326631)Instructions burned: 5114 (million)
% 51.26/11.91 % (3326639)ott+11_1_sil=16000:gs=on:random_seed=3507461420:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 51.26/11.91 % (3326637)Instruction limit reached!
% 51.26/11.91 % (3326637)------------------------------
% 51.26/11.91 % (3326637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326637)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326637)Termination reason: Instruction limit
% 51.26/11.91 % (3326637)Termination phase: Saturation
% 51.26/11.91 % (3326637)Time elapsed: 2.182 s
% 51.26/11.91 % (3326637)Peak memory usage: 46 MB
% 51.26/11.91 % (3326637)Instructions burned: 3774 (million)
% 51.26/11.91 % (3326641)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3230307811:fmbsr=1.6:i=67534_2908 on theBenchmark for (2908ds/67534Mi)
% 51.26/11.91 % TRYING [7]
% 51.26/11.91 % (3326639)Instruction limit reached!
% 51.26/11.91 % (3326639)------------------------------
% 51.26/11.91 % (3326639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326639)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326639)Termination reason: Instruction limit
% 51.26/11.91 % (3326639)Termination phase: Saturation
% 51.26/11.91 % (3326639)Time elapsed: 1.401 s
% 51.26/11.91 % (3326639)Peak memory usage: 29 MB
% 51.26/11.91 % (3326639)Instructions burned: 2251 (million)
% 51.26/11.91 % (3326643)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2436832738:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2905 on theBenchmark for (2905ds/4591Mi)
% 51.26/11.91 % TRYING [8]
% 51.26/11.91 % TRYING [8]
% 51.26/11.91 % (3326615)Instruction limit reached!
% 51.26/11.91 % (3326615)------------------------------
% 51.26/11.91 % (3326615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326615)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326615)Termination reason: Instruction limit
% 51.26/11.91 % (3326615)Termination phase: Finite model building constraint generation
% 51.26/11.91 % (3326615)Time elapsed: 10.255 s
% 51.26/11.91 % (3326615)Peak memory usage: 199 MB
% 51.26/11.91 % (3326615)Instructions burned: 22062 (million)
% 51.26/11.91 % (3326645)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4141563746:i=29340_2887 on theBenchmark for (2887ds/29340Mi)
% 51.26/11.91 % (3326582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3326576-3326582"...
% 51.26/11.91 % (3326582)...printing done.
% 51.26/11.91 % (3326643)Instruction limit reached!
% 51.26/11.91 % (3326643)------------------------------
% 51.26/11.91 % (3326643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326643)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326643)Termination reason: Instruction limit
% 51.26/11.91 % (3326643)Termination phase: Saturation
% 51.26/11.91 % (3326643)Time elapsed: 2.008 s
% 51.26/11.91 % (3326643)Peak memory usage: 37 MB
% 51.26/11.91 % (3326643)Instructions burned: 4591 (million)
% 51.26/11.91 % (3326582)Refutation found. Thanks to Tanya!
% 51.26/11.91 % SZS status Unsatisfiable for theBenchmark
% 51.26/11.91 % SZS output start Proof for theBenchmark
% See solution above
% 51.26/11.91 % (3326582)------------------------------
% 51.26/11.91 % (3326582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.26/11.91 % (3326582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.26/11.91 % (3326582)CaDiCaL version: 2.1.3
% 51.26/11.91 % (3326582)Termination reason: Refutation
% 51.26/11.91 % (3326582)Time elapsed: 11.410 s
% 51.26/11.91 % (3326582)Peak memory usage: 283 MB
% 51.26/11.91 % (3326582)Instructions burned: 35530 (million)
% 51.26/11.91 % (3326576)Success in time 11.513 s
% 51.26/11.91 % Vampire exiting
%------------------------------------------------------------------------------