%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC273-1 : 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 01:05:21 PM UTC 2026
% Result : Unsatisfiable 1.01s 0.37s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 26 unt; 2 def)
% Number of atoms : 132 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 138 ( 60 ~; 76 |; 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 : 30 ( 0 sgn 30 !; 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(f251,plain,
! [X0] : ~ ssList(skaf68(X0)),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f252,plain,
! [X0] : ~ ssList(skaf67(X0)),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f253,plain,
! [X0] : ~ ssList(skaf66(X0)),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f299,plain,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f363,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(f380,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(f385,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f389,plain,
~ strictorderedP(sk3),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f391,plain,
totalorderedP(sk3),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f1914,plain,
( ssList(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
inference(resolution,[],[f363,f391]) ).
fof(f1919,plain,
sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))),
inference(forward_subsumption_resolution,[],[f1914,f385]) ).
fof(f4277,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,[],[f380,f1919]) ).
fof(f4334,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,[],[f4277,f389]) ).
fof(f4344,plain,
( ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f4334,f252]) ).
fof(f4377,plain,
( ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f4344,f253]) ).
fof(f4385,plain,
( ~ ssItem(skaf64(sk3))
| ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f4377,f30]) ).
fof(f4388,plain,
( ssList(skaf68(sk3))
| ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f4385,f31]) ).
fof(f4391,plain,
( ssList(sk3)
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f4388,f251]) ).
fof(f4394,plain,
lt(skaf64(sk3),skaf65(sk3)),
inference(forward_subsumption_resolution,[],[f4391,f385]) ).
fof(f4400,definition,
( spl0_111
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f4402,plain,
( lt(skaf64(sk3),skaf65(sk3))
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f4400]) ).
fof(f4413,definition,
( spl0_114
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f4415,plain,
( leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f4413]) ).
fof(f4421,plain,
spl0_111,
inference(avatar_split_clause,[],[f4394,f4400]) ).
fof(f5080,plain,
( ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_111 ),
inference(resolution,[],[f4402,f106]) ).
fof(f5081,plain,
( ~ ssItem(skaf64(sk3))
| leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f5080,f30]) ).
fof(f5086,plain,
( leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f5081,f31]) ).
fof(f5091,plain,
( spl0_114
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f5086,f4400,f4413]) ).
fof(f5156,plain,
( ssList(sk3)
| ~ totalorderedP(sk3)
| ~ spl0_114 ),
inference(resolution,[],[f4415,f299]) ).
fof(f5164,plain,
( ~ totalorderedP(sk3)
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f5156,f385]) ).
fof(f5168,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f5164,f391]) ).
fof(f5169,plain,
~ spl0_114,
inference(avatar_contradiction_clause,[],[f5168]) ).
cnf(s156,plain,
spl0_111,
inference(sat_conversion,[],[f4421]) ).
cnf(s347,plain,
( ~ spl0_111
| spl0_114 ),
inference(sat_conversion,[],[f5091]) ).
cnf(s349,plain,
~ spl0_114,
inference(sat_conversion,[],[f5169]) ).
cnf(s352,plain,
~ spl0_111,
inference(rat,[],[s347,s349]) ).
cnf(s353,plain,
$false,
inference(rat,[],[s156,s352]) ).
fof(f5179,plain,
$false,
inference(avatar_sat_refutation,[],[s353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC273-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 08:51:11 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 1.01/0.37 % (3706150)Will run a generic schedule for satisfiability detection.
% 1.01/0.37 % (3706155)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=437328161_2999 on theBenchmark for (2999ds/0Mi)
% 1.01/0.37 % (3706156)% WARNING: option uhcvi not known.
% 1.01/0.37 % TRYING [1]
% 1.01/0.37 % TRYING [2]
% 1.01/0.37 % (3706156)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=928045683:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.01/0.37 % (3706157)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=159442023:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.01/0.37 % (3706158)dis+10_1_sil=32000:sp=arity:random_seed=2097114758:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.01/0.37 % (3706159)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3115579326:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.01/0.37 % (3706161)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=105651421:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.01/0.37 % (3706160)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1314223427:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.01/0.37 % TRYING [3]
% 1.01/0.37 % TRYING [4]
% 1.01/0.37 % TRYING [5]
% 1.01/0.37 % (3706158)Instruction limit reached!
% 1.01/0.37 % (3706158)------------------------------
% 1.01/0.37 % (3706158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.37 % (3706158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.37 % (3706158)CaDiCaL version: 2.1.3
% 1.01/0.37 % (3706158)Termination reason: Instruction limit
% 1.01/0.37 % (3706158)Termination phase: Saturation
% 1.01/0.37 % (3706158)Time elapsed: 0.060 s
% 1.01/0.37 % (3706158)Peak memory usage: 13 MB
% 1.01/0.37 % (3706158)Instructions burned: 103 (million)
% 1.01/0.37 % (3706159)Instruction limit reached!
% 1.01/0.37 % (3706159)------------------------------
% 1.01/0.37 % (3706159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.37 % (3706159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.37 % (3706159)CaDiCaL version: 2.1.3
% 1.01/0.37 % (3706159)Termination reason: Instruction limit
% 1.01/0.37 % (3706159)Termination phase: Saturation
% 1.01/0.37 % (3706159)Time elapsed: 0.061 s
% 1.01/0.37 % (3706159)Peak memory usage: 13 MB
% 1.01/0.37 % (3706159)Instructions burned: 116 (million)
% 1.01/0.37 % (3706160)Instruction limit reached!
% 1.01/0.37 % (3706160)------------------------------
% 1.01/0.37 % (3706160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.37 % (3706160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.37 % (3706160)CaDiCaL version: 2.1.3
% 1.01/0.37 % (3706160)Termination reason: Instruction limit
% 1.01/0.37 % (3706160)Termination phase: Saturation
% 1.01/0.37 % (3706160)Time elapsed: 0.065 s
% 1.01/0.37 % (3706160)Peak memory usage: 14 MB
% 1.01/0.37 % (3706160)Instructions burned: 131 (million)
% 1.01/0.37 % (3706170)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1801891308:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.01/0.37 % (3706169)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1099210131:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.01/0.37 % (3706171)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=3220203535:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.01/0.37 % (3706161)Instruction limit reached!
% 1.01/0.37 % (3706161)------------------------------
% 1.01/0.37 % (3706161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.37 % (3706161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.37 % (3706161)CaDiCaL version: 2.1.3
% 1.01/0.37 % (3706161)Termination reason: Instruction limit
% 1.01/0.37 % (3706161)Termination phase: Saturation
% 1.01/0.37 % (3706161)Time elapsed: 0.089 s
% 1.01/0.37 % (3706161)Peak memory usage: 14 MB
% 1.01/0.37 % (3706161)Instructions burned: 161 (million)
% 1.01/0.37 % TRYING [1]
% 1.01/0.37 % TRYING [2]
% 1.01/0.37 % TRYING [3]
% 1.01/0.37 % (3706156) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3706150-3706156"...
% 1.01/0.37 % (3706156)...printing done.
% 1.01/0.37 % (3706156)Refutation found. Thanks to Tanya!
% 1.01/0.37 % SZS status Unsatisfiable for theBenchmark
% 1.01/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 1.01/0.37 % (3706156)------------------------------
% 1.01/0.37 % (3706156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.37 % (3706156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.37 % (3706156)CaDiCaL version: 2.1.3
% 1.01/0.37 % (3706156)Termination reason: Refutation
% 1.01/0.37 % (3706156)Time elapsed: 0.105 s
% 1.01/0.37 % (3706156)Peak memory usage: 14 MB
% 1.01/0.37 % (3706156)Instructions burned: 177 (million)
% 1.01/0.37 % (3706150)Success in time 0.148 s
% 1.01/0.37 % Vampire exiting
%------------------------------------------------------------------------------