%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC271-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:05:20 PM UTC 2026
% Result : Unsatisfiable 0.83s 0.38s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 26 unt; 2 def)
% Number of atoms : 136 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 127 ( 46 ~; 79 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause31) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause91) ).
fof(f106,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause103) ).
fof(f177,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause164) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause181) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f212,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f257,plain,
! [X0] : ~ ssList(skaf68(X0)),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f258,plain,
! [X0] : ~ ssList(skaf67(X0)),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f259,plain,
! [X0] : ~ ssList(skaf66(X0)),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f260,plain,
! [X0] : ~ ssItem(skaf65(X0)),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f261,plain,
! [X0] : ~ ssItem(skaf64(X0)),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f320,plain,
! [X0] :
( leq(skaf64(X0),skaf65(X0))
| ssList(X0)
| totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f332,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ssItem(X1)
| ssItem(X0)
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f393,plain,
! [X0] :
( totalorderedP(X0)
| ssList(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ssList(X2)
| ssList(X0)
| ssItem(X3)
| ssItem(X1)
| ssList(X4)
| ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| lt(X1,X3) ),
inference(consistent_polarity_flipping,[],[f232]) ).
fof(f415,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f2111,plain,
( ssList(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
inference(resolution,[],[f393,f212]) ).
fof(f2118,plain,
sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))),
inference(forward_subsumption_resolution,[],[f2111,f415]) ).
fof(f3544,plain,
( ~ strictorderedP(sk3)
| ssList(skaf67(sk3))
| ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(superposition,[],[f410,f2118]) ).
fof(f3594,plain,
( ssList(skaf67(sk3))
| ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3544,f207]) ).
fof(f3603,plain,
( ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3594,f258]) ).
fof(f3620,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3603,f259]) ).
fof(f3640,plain,
( ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3620,f260]) ).
fof(f3648,plain,
( ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3640,f261]) ).
fof(f3651,plain,
( ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3648,f257]) ).
fof(f3654,plain,
lt(skaf64(sk3),skaf65(sk3)),
inference(forward_subsumption_resolution,[],[f3651,f415]) ).
fof(f3660,definition,
( spl0_89
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f3662,plain,
( lt(skaf64(sk3),skaf65(sk3))
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f3669,definition,
( spl0_91
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f3670,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| spl0_91 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f3681,plain,
spl0_89,
inference(avatar_split_clause,[],[f3654,f3660]) ).
fof(f5131,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_89 ),
inference(resolution,[],[f3662,f332]) ).
fof(f5132,plain,
( ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f5131,f260]) ).
fof(f5137,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f5132,f261]) ).
fof(f5142,plain,
( ~ spl0_91
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f5137,f3660,f3669]) ).
fof(f5220,plain,
( ssList(sk3)
| totalorderedP(sk3)
| spl0_91 ),
inference(resolution,[],[f3670,f320]) ).
fof(f5225,plain,
( totalorderedP(sk3)
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f5220,f415]) ).
fof(f5228,plain,
( $false
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f5225,f212]) ).
fof(f5229,plain,
spl0_91,
inference(avatar_contradiction_clause,[],[f5228]) ).
cnf(s105,plain,
spl0_89,
inference(sat_conversion,[],[f3681]) ).
cnf(s151,plain,
( ~ spl0_89
| ~ spl0_91 ),
inference(sat_conversion,[],[f5142]) ).
cnf(s154,plain,
spl0_91,
inference(sat_conversion,[],[f5229]) ).
cnf(s157,plain,
~ spl0_89,
inference(rat,[],[s151,s154]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s105,s157]) ).
fof(f5232,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC271-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 08:51:06 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.83/0.38 % (3705707)Will run a generic schedule for satisfiability detection.
% 0.83/0.38 % (3705718)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2611444143:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.83/0.38 % (3705713)% WARNING: option uhcvi not known.
% 0.83/0.38 % (3705713)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2917474777:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.83/0.38 % (3705712)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3553821610_2999 on theBenchmark for (2999ds/0Mi)
% 0.83/0.38 % (3705714)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=28135460:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.83/0.38 % (3705715)dis+10_1_sil=32000:sp=arity:random_seed=3913295355:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.83/0.38 % (3705716)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2748372304:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.83/0.38 % (3705717)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1371714838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.38 % TRYING [1]
% 0.83/0.38 % TRYING [2]
% 0.83/0.38 % TRYING [3]
% 0.83/0.38 % TRYING [4]
% 0.83/0.38 % (3705718)Instruction limit reached!
% 0.83/0.38 % (3705718)------------------------------
% 0.83/0.38 % (3705718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (3705718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (3705718)CaDiCaL version: 2.1.3
% 0.83/0.38 % (3705718)Termination reason: Instruction limit
% 0.83/0.38 % (3705718)Termination phase: Saturation
% 0.83/0.38 % (3705718)Time elapsed: 0.051 s
% 0.83/0.38 % (3705718)Peak memory usage: 14 MB
% 0.83/0.38 % (3705718)Instructions burned: 160 (million)
% 0.83/0.38 % (3705726)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1414031497:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.83/0.38 % (3705715)Instruction limit reached!
% 0.83/0.38 % (3705715)------------------------------
% 0.83/0.38 % (3705715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (3705715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (3705715)CaDiCaL version: 2.1.3
% 0.83/0.38 % (3705715)Termination reason: Instruction limit
% 0.83/0.38 % (3705715)Termination phase: Saturation
% 0.83/0.38 % (3705715)Time elapsed: 0.059 s
% 0.83/0.38 % (3705715)Peak memory usage: 13 MB
% 0.83/0.38 % (3705715)Instructions burned: 104 (million)
% 0.83/0.38 % TRYING [1]
% 0.83/0.38 % TRYING [2]
% 0.83/0.38 % (3705716)Instruction limit reached!
% 0.83/0.38 % (3705716)------------------------------
% 0.83/0.38 % (3705716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (3705716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (3705716)CaDiCaL version: 2.1.3
% 0.83/0.38 % (3705716)Termination reason: Instruction limit
% 0.83/0.38 % (3705716)Termination phase: Saturation
% 0.83/0.38 % (3705716)Time elapsed: 0.061 s
% 0.83/0.38 % (3705716)Peak memory usage: 13 MB
% 0.83/0.38 % (3705716)Instructions burned: 118 (million)
% 0.83/0.38 % TRYING [3]
% 0.83/0.38 % (3705717)Instruction limit reached!
% 0.83/0.38 % (3705717)------------------------------
% 0.83/0.38 % (3705717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (3705717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (3705717)CaDiCaL version: 2.1.3
% 0.83/0.38 % (3705717)Termination reason: Instruction limit
% 0.83/0.38 % (3705717)Termination phase: Saturation
% 0.83/0.38 % (3705717)Time elapsed: 0.065 s
% 0.83/0.38 % (3705717)Peak memory usage: 14 MB
% 0.83/0.38 % (3705717)Instructions burned: 131 (million)
% 0.83/0.38 % TRYING [4]
% 0.83/0.38 % (3705728)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=998273255:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.38 % (3705729)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=2846593482:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.83/0.38 % (3705730)ott-21_1_sil=16000:fs=off:random_seed=3809846545:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.83/0.38 % (3705713) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3705707-3705713"...
% 0.83/0.38 % TRYING [5]
% 0.83/0.38 % (3705713)...printing done.
% 0.83/0.38 % (3705713)Refutation found. Thanks to Tanya!
% 0.83/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.83/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.38 % (3705713)------------------------------
% 0.83/0.38 % (3705713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (3705713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (3705713)CaDiCaL version: 2.1.3
% 0.83/0.38 % (3705713)Termination reason: Refutation
% 0.83/0.38 % (3705713)Time elapsed: 0.099 s
% 0.83/0.38 % (3705713)Peak memory usage: 14 MB
% 0.83/0.38 % (3705713)Instructions burned: 181 (million)
% 0.83/0.38 % (3705707)Success in time 0.134 s
% 0.83/0.38 % Vampire exiting
%------------------------------------------------------------------------------