%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP659+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 10:18:27 AM UTC 2026
% Result : Theorem 40.68s 11.49s
% Output : Refutation 40.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 60 ( 54 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 133 ( 130 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(X2,mult(X1,X0)),X1) = mult(mult(X2,X1),mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X1,X0)),X1) = mult(mult(X2,X1),mult(X0,X1)),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f17,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(ld(X2,X0),X2)) = mult(mult(X1,X0),X2),
inference(superposition,[],[f14,f10]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),mult(X2,rd(X0,X2))) = mult(mult(X1,X0),rd(X0,X2)),
inference(superposition,[],[f14,f12]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)),
inference(superposition,[],[f14,f12]) ).
fof(f23,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f13,f14]) ).
fof(f24,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X1,X2)),mult(mult(X0,X1),mult(X2,X1))) = X1,
inference(superposition,[],[f11,f14]) ).
fof(f30,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(superposition,[],[f18,f12]) ).
fof(f38,plain,
! [X2,X0,X1] : mult(ld(X2,X1),X2) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f18]) ).
fof(f65,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(superposition,[],[f23,f12]) ).
fof(f124,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(superposition,[],[f30,f12]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : mult(X0,rd(X1,X2)) = ld(mult(X3,mult(mult(X0,X1),rd(X1,X2))),mult(mult(X3,mult(X0,rd(X1,X2))),mult(mult(X2,rd(X1,X2)),mult(X0,rd(X1,X2))))),
inference(superposition,[],[f24,f19]) ).
fof(f202,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(superposition,[],[f11,f124]) ).
fof(f239,plain,
! [X1] : mult(ld(X1,X1),X1) = X1,
inference(forward_demodulation,[],[f202,f11]) ).
fof(f471,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f13,f239]) ).
fof(f615,plain,
! [X2,X0,X1] : mult(ld(X1,ld(X2,X0)),X1) = ld(mult(X2,X1),mult(X0,X1)),
inference(superposition,[],[f38,f10]) ).
fof(f1160,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(mult(X0,X1),mult(X0,X1)),X1),mult(X1,X0)),
inference(superposition,[],[f65,f239]) ).
fof(f1193,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(mult(ld(X1,ld(X0,X0)),X1),X1),mult(X1,X0)),
inference(forward_demodulation,[],[f1160,f615]) ).
fof(f1208,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,ld(X0,X0)),mult(X1,X0)),
inference(forward_demodulation,[],[f1193,f13]) ).
fof(f1212,plain,
! [X0,X1] : mult(ld(X1,ld(X0,X0)),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f1208,f13]) ).
fof(f1803,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X1,X1),X0),X1)) = X1,
inference(superposition,[],[f1212,f16]) ).
fof(f1834,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = ld(X1,ld(X0,X0)),
inference(superposition,[],[f13,f1212]) ).
fof(f3087,plain,
! [X0,X1] : ld(X1,X0) = mult(rd(ld(X0,X0),X1),X0),
inference(superposition,[],[f11,f1803]) ).
fof(f7508,plain,
! [X0,X1] : mult(ld(X0,X0),X0) = mult(ld(mult(X0,X1),X0),mult(X1,X0)),
inference(superposition,[],[f21,f3087]) ).
fof(f7637,plain,
! [X0,X1] : mult(ld(mult(X0,X1),X0),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f7508,f239]) ).
fof(f11992,plain,
! [X0,X1] : mult(ld(X0,X1),mult(ld(X1,X0),X1)) = X1,
inference(superposition,[],[f7637,f10]) ).
fof(f12113,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f13,f7637]) ).
fof(f12212,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = ld(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f12113,f1834]) ).
fof(f17106,plain,
! [X0,X1] : ld(X1,X0) = rd(X0,mult(ld(X0,X1),X0)),
inference(superposition,[],[f13,f11992]) ).
fof(f17225,plain,
! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f17106,f1834]) ).
fof(f17835,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,ld(X0,ld(X1,X1))),
inference(superposition,[],[f17,f12212]) ).
fof(f26177,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = rd(ld(X0,X0),ld(X1,ld(X0,X0))),
inference(superposition,[],[f17835,f17225]) ).
fof(f26249,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f26177,f17]) ).
fof(f26723,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X2,X2)),mult(X0,ld(X2,X2))) = mult(mult(X1,X0),ld(X2,X2)),
inference(superposition,[],[f14,f26249]) ).
fof(f26731,plain,
! [X2,X0,X1] : rd(mult(mult(X1,X0),X0),X0) = mult(X1,mult(X0,ld(X2,X2))),
inference(superposition,[],[f23,f26249]) ).
fof(f27020,plain,
! [X2,X0,X1] : mult(X1,X0) = mult(X1,mult(X0,ld(X2,X2))),
inference(forward_demodulation,[],[f26731,f13]) ).
fof(f27244,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X0)) = ld(mult(X2,mult(mult(X1,X0),ld(X0,X0))),mult(mult(X2,mult(X1,ld(X0,X0))),mult(mult(X0,ld(X0,X0)),mult(X1,ld(X0,X0))))),
inference(superposition,[],[f178,f471]) ).
fof(f27390,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X0)) = ld(mult(X2,mult(mult(X1,X0),ld(X0,X0))),mult(mult(X2,mult(X1,ld(X0,X0))),mult(mult(X0,X1),ld(X0,X0)))),
inference(forward_demodulation,[],[f27244,f26723]) ).
fof(f27578,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X0)) = ld(mult(X2,mult(mult(X1,X0),ld(X0,X0))),mult(mult(X2,mult(X1,ld(X0,X0))),mult(X0,X1))),
inference(forward_demodulation,[],[f27390,f27020]) ).
fof(f27707,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X0)) = ld(mult(X2,mult(mult(X1,X0),ld(X0,X0))),mult(mult(X2,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f27578,f27020]) ).
fof(f27749,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X0)) = ld(mult(X2,mult(X1,X0)),mult(mult(X2,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f27707,f27020]) ).
fof(f27764,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f27749,f24]) ).
fof(f28007,plain,
! [X0] :
( sK0(ld(X0,X0)) != sK0(ld(X0,X0))
| sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))) ),
inference(superposition,[],[f15,f27764]) ).
fof(f28008,plain,
! [X0] : sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))),
inference(trivial_inequality_removal,[],[f28007]) ).
fof(f28009,plain,
$false,
inference(forward_subsumption_resolution,[],[f28008,f26249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP659+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.62 % Computer : n014.cluster.edu
% 0.13/5.62 % Model : x86_64 x86_64
% 0.13/5.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.62 % Memory : 8046.5625MB
% 0.13/5.62 % OS : Linux 6.8.0-71-generic
% 0.13/5.62 % CPULimit : 300
% 0.13/5.62 % WCLimit : 300
% 0.13/5.62 % DateTime : Sun Sep 27 10:32:38 UTC 2026
% 0.13/5.62 % CPUTime :
% 0.13/5.62 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/5.65 Running first-order model finding
% 0.13/5.65 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.96/9.61 % (598463)Will run a generic schedule for satisfiability detection.
% 27.96/9.61 % (598473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=788038711:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.96/9.61 % (598469)% WARNING: option uhcvi not known.
% 27.96/9.61 % (598470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=171252912:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.96/9.61 % (598468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=395105527_2999 on theBenchmark for (2999ds/0Mi)
% 27.96/9.61 % (598469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3405206935:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.96/9.61 % (598471)dis+10_1_sil=32000:sp=arity:random_seed=3986342104:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.96/9.61 % (598472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1699113039:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.96/9.61 % (598474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1938793817:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.96/9.61 % TRYING [1]
% 27.96/9.61 % TRYING [2]
% 27.96/9.61 % TRYING [3]
% 27.96/9.61 % TRYING [4]
% 27.96/9.61 % TRYING [5]
% 27.96/9.61 % (598473)Instruction limit reached!
% 27.96/9.61 % (598473)------------------------------
% 27.96/9.61 % (598473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.96/9.61 % (598473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.96/9.61 % (598473)CaDiCaL version: 2.1.3
% 27.96/9.61 % (598473)Termination reason: Instruction limit
% 27.96/9.61 % (598473)Termination phase: Saturation
% 27.96/9.61 % (598473)Time elapsed: 0.044 s
% 27.96/9.61 % (598473)Peak memory usage: 13 MB
% 27.96/9.61 % (598473)Instructions burned: 133 (million)
% 27.96/9.61 % (598482)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2141603618:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.96/9.61 % TRYING [1]
% 27.96/9.61 % TRYING [2]
% 27.96/9.61 % TRYING [3]
% 27.96/9.61 % TRYING [4]
% 27.96/9.61 % TRYING [5]
% 27.96/9.61 % TRYING [6]
% 27.96/9.61 % (598471)Instruction limit reached!
% 27.96/9.61 % (598471)------------------------------
% 27.96/9.61 % (598471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.96/9.61 % (598471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.96/9.61 % (598471)CaDiCaL version: 2.1.3
% 27.96/9.61 % (598471)Termination reason: Instruction limit
% 27.96/9.61 % (598471)Termination phase: Saturation
% 27.96/9.61 % (598471)Time elapsed: 0.059 s
% 27.96/9.61 % (598471)Peak memory usage: 12 MB
% 27.96/9.61 % (598471)Instructions burned: 103 (million)
% 27.96/9.61 % (598472)Instruction limit reached!
% 27.96/9.61 % (598472)------------------------------
% 27.96/9.61 % (598472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.96/9.61 % (598472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.96/9.61 % (598472)CaDiCaL version: 2.1.3
% 27.96/9.61 % (598472)Termination reason: Instruction limit
% 27.96/9.61 % (598472)Termination phase: Saturation
% 27.96/9.61 % (598472)Time elapsed: 0.072 s
% 27.96/9.61 % (598472)Peak memory usage: 13 MB
% 27.96/9.61 % (598472)Instructions burned: 117 (million)
% 27.96/9.61 % (598484)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3492187532:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 27.96/9.61 % TRYING [6]
% 27.96/9.61 % (598485)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=791125527:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.96/9.61 % (598474)Instruction limit reached!
% 27.96/9.61 % (598474)------------------------------
% 27.96/9.61 % (598474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.96/9.61 % (598474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.96/9.61 % (598474)CaDiCaL version: 2.1.3
% 27.96/9.61 % (598474)Termination reason: Instruction limit
% 27.96/9.61 % (598474)Termination phase: Saturation
% 27.96/9.61 % (598474)Time elapsed: 0.098 s
% 27.96/9.61 % (598474)Peak memory usage: 13 MB
% 27.96/9.61 % (598474)Instructions burned: 159 (million)
% 27.96/9.61 % (598488)ott-21_1_sil=16000:fs=off:random_seed=3886421433:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.96/9.61 % (598484)Instruction limit reached!
% 27.96/9.61 % (598484)------------------------------
% 27.96/9.61 % (598484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.96/9.61 % (598484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598484)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598484)Termination reason: Instruction limit
% 40.68/11.49 % (598484)Termination phase: Saturation
% 40.68/11.49 % (598484)Time elapsed: 0.084 s
% 40.68/11.49 % (598484)Peak memory usage: 13 MB
% 40.68/11.49 % (598484)Instructions burned: 131 (million)
% 40.68/11.49 % (598490)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3429599896:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 40.68/11.49 % TRYING [7]
% 40.68/11.49 % (598488)Instruction limit reached!
% 40.68/11.49 % (598488)------------------------------
% 40.68/11.49 % (598488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598488)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598488)Termination reason: Instruction limit
% 40.68/11.49 % (598488)Termination phase: Saturation
% 40.68/11.49 % (598488)Time elapsed: 0.091 s
% 40.68/11.49 % (598488)Peak memory usage: 12 MB
% 40.68/11.49 % (598488)Instructions burned: 182 (million)
% 40.68/11.49 % (598492)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=211801326:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 40.68/11.49 % TRYING [1]
% 40.68/11.49 % TRYING [2]
% 40.68/11.49 % TRYING [3]
% 40.68/11.49 % TRYING [4]
% 40.68/11.49 % TRYING [5]
% 40.68/11.49 % (598482)Instruction limit reached!
% 40.68/11.49 % (598482)------------------------------
% 40.68/11.49 % (598482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598482)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598482)Termination reason: Instruction limit
% 40.68/11.49 % (598482)Termination phase: Finite model building SAT solving
% 40.68/11.49 % (598482)Time elapsed: 0.201 s
% 40.68/11.49 % (598482)Peak memory usage: 23 MB
% 40.68/11.49 % (598482)Instructions burned: 714 (million)
% 40.68/11.49 % (598494)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2547546305:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 40.68/11.49 % TRYING [6]
% 40.68/11.49 % TRYING [7]
% 40.68/11.49 % (598490)Instruction limit reached!
% 40.68/11.49 % (598490)------------------------------
% 40.68/11.49 % (598490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598490)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598490)Termination reason: Instruction limit
% 40.68/11.49 % (598490)Termination phase: Saturation
% 40.68/11.49 % (598490)Time elapsed: 0.265 s
% 40.68/11.49 % (598490)Peak memory usage: 17 MB
% 40.68/11.49 % (598490)Instructions burned: 478 (million)
% 40.68/11.49 % TRYING [7]
% 40.68/11.49 % (598496)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3451152875:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 40.68/11.49 % (598485)Instruction limit reached!
% 40.68/11.49 % (598485)------------------------------
% 40.68/11.49 % (598485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598485)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598485)Termination reason: Instruction limit
% 40.68/11.49 % (598485)Termination phase: Saturation
% 40.68/11.49 % (598485)Time elapsed: 0.392 s
% 40.68/11.49 % (598485)Peak memory usage: 21 MB
% 40.68/11.49 % (598485)Instructions burned: 685 (million)
% 40.68/11.49 % (598498)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=337604798: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)
% 40.68/11.49 % TRYING [14]
% 40.68/11.49 % (598492)Instruction limit reached!
% 40.68/11.49 % (598492)------------------------------
% 40.68/11.49 % (598492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598492)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598492)Termination reason: Instruction limit
% 40.68/11.49 % (598492)Termination phase: Finite model building SAT solving
% 40.68/11.49 % (598492)Time elapsed: 0.360 s
% 40.68/11.49 % (598492)Peak memory usage: 19 MB
% 40.68/11.49 % (598492)Instructions burned: 867 (million)
% 40.68/11.49 % (598500)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2281375539:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 40.68/11.49 % (598494)Instruction limit reached!
% 40.68/11.49 % (598494)------------------------------
% 40.68/11.49 % (598494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598494)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598494)Termination reason: Instruction limit
% 40.68/11.49 % (598494)Termination phase: Saturation
% 40.68/11.49 % (598494)Time elapsed: 0.396 s
% 40.68/11.49 % (598494)Peak memory usage: 26 MB
% 40.68/11.49 % (598494)Instructions burned: 1179 (million)
% 40.68/11.49 % (598502)fmb+10_1_sil=64000:random_seed=2403417499:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 40.68/11.49 % TRYING [1]
% 40.68/11.49 % TRYING [2]
% 40.68/11.49 % TRYING [3]
% 40.68/11.49 % TRYING [4]
% 40.68/11.49 % TRYING [5]
% 40.68/11.49 % TRYING [6]
% 40.68/11.49 % (598496)Instruction limit reached!
% 40.68/11.49 % (598496)------------------------------
% 40.68/11.49 % (598496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598496)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598496)Termination reason: Instruction limit
% 40.68/11.49 % (598496)Termination phase: Finite model building constraint generation
% 40.68/11.49 % (598496)Time elapsed: 0.316 s
% 40.68/11.49 % (598496)Peak memory usage: 75 MB
% 40.68/11.49 % (598496)Instructions burned: 890 (million)
% 40.68/11.49 % TRYING [7]
% 40.68/11.49 % (598504)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1034431078:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 40.68/11.49 % TRYING [20]
% 40.68/11.49 % (598498)Instruction limit reached!
% 40.68/11.49 % (598498)------------------------------
% 40.68/11.49 % (598498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598498)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598498)Termination reason: Instruction limit
% 40.68/11.49 % (598498)Termination phase: Saturation
% 40.68/11.49 % (598498)Time elapsed: 0.415 s
% 40.68/11.49 % (598498)Peak memory usage: 21 MB
% 40.68/11.49 % (598498)Instructions burned: 693 (million)
% 40.68/11.49 % (598506)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=200835191:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 40.68/11.49 % TRYING [8]
% 40.68/11.49 % TRYING [8]
% 40.68/11.49 % (598500)Instruction limit reached!
% 40.68/11.49 % (598500)------------------------------
% 40.68/11.49 % (598500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598500)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598500)Termination reason: Instruction limit
% 40.68/11.49 % (598500)Termination phase: Saturation
% 40.68/11.49 % (598500)Time elapsed: 0.478 s
% 40.68/11.49 % (598500)Peak memory usage: 21 MB
% 40.68/11.49 % (598500)Instructions burned: 880 (million)
% 40.68/11.49 % (598508)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2983465615:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 40.68/11.49 % TRYING [8]
% 40.68/11.49 % (598506)Instruction limit reached!
% 40.68/11.49 % (598506)------------------------------
% 40.68/11.49 % (598506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598506)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598506)Termination reason: Instruction limit
% 40.68/11.49 % (598506)Termination phase: Finite model building SAT solving
% 40.68/11.49 % (598506)Time elapsed: 0.515 s
% 40.68/11.49 % (598506)Peak memory usage: 40 MB
% 40.68/11.49 % (598506)Instructions burned: 920 (million)
% 40.68/11.49 % (598510)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=426114345:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 40.68/11.49 % (598510)Instruction limit reached!
% 40.68/11.49 % (598510)------------------------------
% 40.68/11.49 % (598510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598510)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598510)Termination reason: Instruction limit
% 40.68/11.49 % (598510)Termination phase: Saturation
% 40.68/11.49 % (598510)Time elapsed: 0.642 s
% 40.68/11.49 % (598510)Peak memory usage: 21 MB
% 40.68/11.49 % (598510)Instructions burned: 1473 (million)
% 40.68/11.49 % (598512)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4233420257:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 40.68/11.49 % TRYING [77]
% 40.68/11.49 % TRYING [9]
% 40.68/11.49 % (598508)Instruction limit reached!
% 40.68/11.49 % (598508)------------------------------
% 40.68/11.49 % (598508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598508)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598508)Termination reason: Instruction limit
% 40.68/11.49 % (598508)Termination phase: Saturation
% 40.68/11.49 % (598508)Time elapsed: 2.808 s
% 40.68/11.49 % (598508)Peak memory usage: 53 MB
% 40.68/11.49 % (598508)Instructions burned: 5132 (million)
% 40.68/11.49 % (598514)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3747419753:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 40.68/11.49 % TRYING [16]
% 40.68/11.49 % TRYING [9]
% 40.68/11.49 % (598504)Instruction limit reached!
% 40.68/11.49 % (598504)------------------------------
% 40.68/11.49 % (598504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598504)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598504)Termination reason: Instruction limit
% 40.68/11.49 % (598504)Termination phase: Finite model building constraint generation
% 40.68/11.49 % (598504)Time elapsed: 3.615 s
% 40.68/11.49 % (598504)Peak memory usage: 698 MB
% 40.68/11.49 % (598504)Instructions burned: 9516 (million)
% 40.68/11.49 % (598512)Instruction limit reached!
% 40.68/11.49 % (598512)------------------------------
% 40.68/11.49 % (598512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598512)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598512)Termination reason: Instruction limit
% 40.68/11.49 % (598512)Termination phase: Finite model building constraint generation
% 40.68/11.49 % (598512)Time elapsed: 2.314 s
% 40.68/11.49 % (598512)Peak memory usage: 419 MB
% 40.68/11.49 % (598512)Instructions burned: 6327 (million)
% 40.68/11.49 % (598516)ott-2_1_sil=16000:newcnf=on:random_seed=2802047003:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 40.68/11.49 % (598517)ott+10_1_sil=32000:tgt=ground:random_seed=2471933570:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 40.68/11.49 % (598514)Instruction limit reached!
% 40.68/11.49 % (598514)------------------------------
% 40.68/11.49 % (598514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598514)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598514)Termination reason: Instruction limit
% 40.68/11.49 % (598514)Termination phase: Finite model building constraint generation
% 40.68/11.49 % (598514)Time elapsed: 0.727 s
% 40.68/11.49 % (598514)Peak memory usage: 132 MB
% 40.68/11.49 % (598514)Instructions burned: 2176 (million)
% 40.68/11.49 % (598520)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1810513192:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 40.68/11.49 % TRYING [1]
% 40.68/11.49 % TRYING [2]
% 40.68/11.49 % TRYING [3]
% 40.68/11.49 % TRYING [4]
% 40.68/11.49 % TRYING [5]
% 40.68/11.49 % TRYING [6]
% 40.68/11.49 % TRYING [7]
% 40.68/11.49 % (598516)Instruction limit reached!
% 40.68/11.49 % (598516)------------------------------
% 40.68/11.49 % (598516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598516)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598516)Termination reason: Instruction limit
% 40.68/11.49 % (598516)Termination phase: Saturation
% 40.68/11.49 % (598516)Time elapsed: 0.554 s
% 40.68/11.49 % (598516)Peak memory usage: 22 MB
% 40.68/11.49 % (598516)Instructions burned: 869 (million)
% 40.68/11.49 % (598522)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2492970107:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 40.68/11.49 % (598517) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-598463-598517"...
% 40.68/11.49 % (598517)...printing done.
% 40.68/11.49 % (598517)Refutation found. Thanks to Tanya!
% 40.68/11.49 % SZS status Theorem for theBenchmark
% 40.68/11.49 % SZS output start Proof for theBenchmark
% See solution above
% 40.68/11.49 % (598517)------------------------------
% 40.68/11.49 % (598517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.68/11.49 % (598517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.68/11.49 % (598517)CaDiCaL version: 2.1.3
% 40.68/11.49 % (598517)Termination reason: Refutation
% 40.68/11.49 % (598517)Time elapsed: 1.238 s
% 40.68/11.49 % (598517)Peak memory usage: 34 MB
% 40.68/11.49 % (598517)Instructions burned: 1873 (million)
% 40.68/11.49 % (598463)Success in time 5.83 s
% 40.68/11.49 % Vampire exiting
%------------------------------------------------------------------------------