%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:39 PM UTC 2026
% Result : Theorem 0.96s 0.55s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2023,axiom,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Stlc.STLC.step_example1') ).
fof(f2306,axiom,
! [X0,X1] : happ(happ(cStlc_2eSTLC_2eapp,X0),X1) = cStlc_2eSTLC_2eapp___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Stlc.STLC.app_$a2') ).
fof(f2373,axiom,
! [X0,X1,X2] : happ(happ(happ(cStlc_2eSTLC_2eabs,X0),X1),X2) = cStlc_2eSTLC_2eabs___24a3(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Stlc.STLC.abs_$a3') ).
fof(f2511,axiom,
! [X0] : happ(cStlc_2eSTLC_2evar,X0) = cStlc_2eSTLC_2evar___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Stlc.STLC.var_$a1') ).
fof(f2589,axiom,
! [X0,X1] : happ(happ(cStlc_2eSTLC_2eArrow,X0),X1) = cStlc_2eSTLC_2eArrow___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Stlc.STLC.Arrow_$a2') ).
fof(f3119,conjecture,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f3120,negated_conjecture,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(negated_conjecture,[status(cth)],[f3119]) ).
fof(f3156,plain,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(flattening,[],[f3120]) ).
fof(f15146,plain,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(cnf_transformation,[],[f2023]) ).
fof(f15537,plain,
! [X0,X1] : cStlc_2eSTLC_2eapp___24a2(X0,X1) = happ(happ(cStlc_2eSTLC_2eapp,X0),X1),
inference(cnf_transformation,[],[f2306]) ).
fof(f15619,plain,
! [X2,X0,X1] : cStlc_2eSTLC_2eabs___24a3(X0,X1,X2) = happ(happ(happ(cStlc_2eSTLC_2eabs,X0),X1),X2),
inference(cnf_transformation,[],[f2373]) ).
fof(f15795,plain,
! [X0] : cStlc_2eSTLC_2evar___24a1(X0) = happ(cStlc_2eSTLC_2evar,X0),
inference(cnf_transformation,[],[f2511]) ).
fof(f15879,plain,
! [X0,X1] : cStlc_2eSTLC_2eArrow___24a2(X0,X1) = happ(happ(cStlc_2eSTLC_2eArrow,X0),X1),
inference(cnf_transformation,[],[f2589]) ).
fof(f16877,plain,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
inference(cnf_transformation,[],[f3156]) ).
fof(f19367,plain,
cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,happ(happ(cStlc_2eSTLC_2eapp,happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),happ(happ(cStlc_2eSTLC_2eArrow,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2eBool)),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),cStlc_2eSTLC_2eBool),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),cStlc_2eSTLC_2eBool),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),
inference(definition_unfolding,[],[f15146,f15537,f15619,f15879,f15795,f15619,f15795,f15619,f15795]) ).
fof(f19475,plain,
~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,happ(happ(cStlc_2eSTLC_2eapp,happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),happ(happ(cStlc_2eSTLC_2eArrow,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2eBool)),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),cStlc_2eSTLC_2eBool),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),happ(happ(happ(cStlc_2eSTLC_2eabs,cStlc_2eSTLC_2ex),cStlc_2eSTLC_2eBool),happ(cStlc_2eSTLC_2evar,cStlc_2eSTLC_2ex))),
inference(definition_unfolding,[],[f16877,f15537,f15619,f15879,f15795,f15619,f15795,f15619,f15795]) ).
fof(f19552,plain,
$false,
inference(global_subsumption,[],[f19367,f19475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV672+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 06:52:34 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 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
% 0.96/0.55 % (3186763)Will run a generic schedule for satisfiability detection.
% 0.96/0.55 % (3186769)% WARNING: option uhcvi not known.
% 0.96/0.55 % (3186768)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=450897108_2999 on theBenchmark for (2999ds/0Mi)
% 0.96/0.55 % (3186769)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3686172989:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.96/0.55 % (3186770)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2619707177:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.96/0.55 % (3186771)dis+10_1_sil=32000:sp=arity:random_seed=990124114:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.96/0.55 % (3186772)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4106661696:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.96/0.55 % (3186773)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3511544660:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.55 % (3186774)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4135839996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.96/0.55 % (3186771)Instruction limit reached!
% 0.96/0.55 % (3186771)------------------------------
% 0.96/0.55 % (3186771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186771)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186771)Termination reason: Instruction limit
% 0.96/0.55 % (3186771)Termination phase: Preprocessing 3
% 0.96/0.55 % (3186771)Time elapsed: 0.037 s
% 0.96/0.55 % (3186771)Peak memory usage: 20 MB
% 0.96/0.55 % (3186771)Instructions burned: 106 (million)
% 0.96/0.55 % (3186772)Instruction limit reached!
% 0.96/0.55 % (3186772)------------------------------
% 0.96/0.55 % (3186772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186772)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186772)Termination reason: Instruction limit
% 0.96/0.55 % (3186772)Termination phase: NewCNF
% 0.96/0.55 % (3186772)Time elapsed: 0.040 s
% 0.96/0.55 % (3186772)Peak memory usage: 20 MB
% 0.96/0.55 % (3186772)Instructions burned: 119 (million)
% 0.96/0.55 % (3186773)Instruction limit reached!
% 0.96/0.55 % (3186773)------------------------------
% 0.96/0.55 % (3186773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186773)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186773)Termination reason: Instruction limit
% 0.96/0.55 % (3186773)Termination phase: Preprocessing 3
% 0.96/0.55 % (3186773)Time elapsed: 0.045 s
% 0.96/0.55 % (3186773)Peak memory usage: 21 MB
% 0.96/0.55 % (3186773)Instructions burned: 131 (million)
% 0.96/0.55 % (3186782)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=758274241:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.96/0.55 % (3186783)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=16382122:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.96/0.55 % (3186774)Instruction limit reached!
% 0.96/0.55 % (3186774)------------------------------
% 0.96/0.55 % (3186774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186774)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186774)Termination reason: Instruction limit
% 0.96/0.55 % (3186774)Termination phase: Property scanning
% 0.96/0.55 % (3186774)Time elapsed: 0.055 s
% 0.96/0.55 % (3186774)Peak memory usage: 23 MB
% 0.96/0.55 % (3186774)Instructions burned: 160 (million)
% 0.96/0.55 % (3186784)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=3751199284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.96/0.55 % (3186787)ott-21_1_sil=16000:fs=off:random_seed=3442141760:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.96/0.55 % (3186783)Instruction limit reached!
% 0.96/0.55 % (3186783)------------------------------
% 0.96/0.55 % (3186783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186783)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186783)Termination reason: Instruction limit
% 0.96/0.55 % (3186783)Termination phase: Clausification
% 0.96/0.55 % (3186783)Time elapsed: 0.045 s
% 0.96/0.55 % (3186783)Peak memory usage: 21 MB
% 0.96/0.55 % (3186783)Instructions burned: 133 (million)
% 0.96/0.55 % (3186790)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4219206143:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.96/0.55 % (3186770) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3186763-3186770"...
% 0.96/0.55 % (3186770)...printing done.
% 0.96/0.55 % (3186787)Instruction limit reached!
% 0.96/0.55 % (3186787)------------------------------
% 0.96/0.55 % (3186787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186787)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186787)Termination reason: Instruction limit
% 0.96/0.55 % (3186787)Termination phase: Property scanning
% 0.96/0.55 % (3186787)Time elapsed: 0.055 s
% 0.96/0.55 % (3186787)Peak memory usage: 23 MB
% 0.96/0.55 % (3186787)Instructions burned: 182 (million)
% 0.96/0.55 % (3186770)Refutation found. Thanks to Tanya!
% 0.96/0.55 % SZS status Theorem for theBenchmark
% 0.96/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.96/0.55 % (3186770)------------------------------
% 0.96/0.55 % (3186770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.55 % (3186770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.55 % (3186770)CaDiCaL version: 2.1.3
% 0.96/0.55 % (3186770)Termination reason: Refutation
% 0.96/0.55 % (3186770)Time elapsed: 0.118 s
% 0.96/0.55 % (3186770)Peak memory usage: 26 MB
% 0.96/0.55 % (3186770)Instructions burned: 442 (million)
% 0.96/0.55 % (3186763)Success in time 0.206 s
% 0.96/0.55 % Vampire exiting
%------------------------------------------------------------------------------