%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC400-1 : 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 : n003.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 01:05:53 PM UTC 2026
% Result : Unsatisfiable 1.57s 0.49s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 28 unt; 2 def)
% Number of atoms : 114 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 42 ~; 56 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f181,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause168) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f212,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f213,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f214,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f210,f204]) ).
fof(f264,plain,
! [X0,X1] : ~ ssList(skaf48(X0,X1)),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f265,plain,
! [X0,X1] : ~ ssList(skaf47(X0,X1)),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f294,plain,
! [X0,X1] :
( ~ ssList(app(X1,X0))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ssList(X2)
| ssList(X0)
| memberP(X0,X1)
| ~ memberP(app(X0,X2),X1) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ssList(X0)
| ssList(X2)
| memberP(X0,X1)
| ~ memberP(app(X2,X0),X1) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f369,plain,
! [X0,X1] :
( segmentP(X0,X1)
| ssList(X1)
| ssList(X0)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f387,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f388,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f391,plain,
~ segmentP(sk4,sk3),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f392,plain,
~ memberP(sk3,sk5),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f393,plain,
memberP(sk4,sk5),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f1240,plain,
! [X0,X1] :
( ~ memberP(app(X1,X0),sk5)
| ssList(X1)
| memberP(X1,sk5)
| ssList(X0) ),
inference(resolution,[],[f343,f208]) ).
fof(f1259,plain,
! [X0,X1] :
( ~ memberP(app(X1,X0),sk5)
| ssList(X1)
| memberP(X0,sk5)
| ssList(X0) ),
inference(resolution,[],[f344,f208]) ).
fof(f1968,plain,
( ssList(sk3)
| ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
inference(resolution,[],[f369,f391]) ).
fof(f1979,plain,
( ssList(sk4)
| sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
inference(forward_subsumption_resolution,[],[f1968,f387]) ).
fof(f1980,plain,
sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)),
inference(forward_subsumption_resolution,[],[f1979,f388]) ).
fof(f4284,definition,
( spl0_107
<=> ssList(app(skaf47(sk4,sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f4286,plain,
( ssList(app(skaf47(sk4,sk3),sk3))
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f4284]) ).
fof(f4552,plain,
( ~ memberP(sk4,sk5)
| ssList(app(skaf47(sk4,sk3),sk3))
| memberP(app(skaf47(sk4,sk3),sk3),sk5)
| ssList(skaf48(sk3,sk4)) ),
inference(superposition,[],[f1240,f1980]) ).
fof(f4558,plain,
( ssList(app(skaf47(sk4,sk3),sk3))
| memberP(app(skaf47(sk4,sk3),sk3),sk5)
| ssList(skaf48(sk3,sk4)) ),
inference(forward_subsumption_resolution,[],[f4552,f393]) ).
fof(f4563,plain,
( ssList(app(skaf47(sk4,sk3),sk3))
| memberP(app(skaf47(sk4,sk3),sk3),sk5) ),
inference(forward_subsumption_resolution,[],[f4558,f264]) ).
fof(f4569,definition,
( spl0_128
<=> memberP(app(skaf47(sk4,sk3),sk3),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f4571,plain,
( memberP(app(skaf47(sk4,sk3),sk3),sk5)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f4569]) ).
fof(f4572,plain,
( spl0_128
| spl0_107 ),
inference(avatar_split_clause,[],[f4563,f4284,f4569]) ).
fof(f9083,plain,
( ssList(skaf47(sk4,sk3))
| ssList(sk3)
| ~ spl0_107 ),
inference(resolution,[],[f4286,f294]) ).
fof(f9084,plain,
( ssList(sk3)
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9083,f265]) ).
fof(f9085,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9084,f387]) ).
fof(f9086,plain,
~ spl0_107,
inference(avatar_contradiction_clause,[],[f9085]) ).
fof(f21801,plain,
( ssList(skaf47(sk4,sk3))
| memberP(sk3,sk5)
| ssList(sk3)
| ~ spl0_128 ),
inference(resolution,[],[f4571,f1259]) ).
fof(f21812,plain,
( memberP(sk3,sk5)
| ssList(sk3)
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f21801,f265]) ).
fof(f21816,plain,
( ssList(sk3)
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f21812,f392]) ).
fof(f21819,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f21816,f387]) ).
fof(f21820,plain,
~ spl0_128,
inference(avatar_contradiction_clause,[],[f21819]) ).
cnf(s162,plain,
( spl0_107
| spl0_128 ),
inference(sat_conversion,[],[f4572]) ).
cnf(s265,plain,
~ spl0_107,
inference(sat_conversion,[],[f9086]) ).
cnf(s922,plain,
~ spl0_128,
inference(sat_conversion,[],[f21820]) ).
cnf(s983,plain,
$false,
inference(rat,[],[s162,s922,s265]) ).
fof(f21821,plain,
$false,
inference(avatar_sat_refutation,[],[s983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC400-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n003.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 09:29:27 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 1.57/0.49 % (1459868)Will run a generic schedule for satisfiability detection.
% 1.57/0.49 % (1459874)% WARNING: option uhcvi not known.
% 1.57/0.49 % (1459874)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4291744364:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.57/0.49 % (1459873)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3565029727_2999 on theBenchmark for (2999ds/0Mi)
% 1.57/0.49 % (1459876)dis+10_1_sil=32000:sp=arity:random_seed=3807715051:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.57/0.49 % (1459875)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=630601109:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.57/0.49 % (1459877)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1456234182:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.57/0.49 % (1459879)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1692911725:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.57/0.49 % (1459878)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3298201279:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.49 % TRYING [1]
% 1.57/0.49 % TRYING [2]
% 1.57/0.49 % TRYING [3]
% 1.57/0.49 % TRYING [4]
% 1.57/0.49 % (1459876)Instruction limit reached!
% 1.57/0.49 % (1459876)------------------------------
% 1.57/0.49 % (1459876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459876)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459876)Termination reason: Instruction limit
% 1.57/0.49 % (1459876)Termination phase: Saturation
% 1.57/0.49 % (1459876)Time elapsed: 0.059 s
% 1.57/0.49 % (1459876)Peak memory usage: 13 MB
% 1.57/0.49 % (1459876)Instructions burned: 104 (million)
% 1.57/0.49 % (1459877)Instruction limit reached!
% 1.57/0.49 % (1459877)------------------------------
% 1.57/0.49 % (1459877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459877)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459877)Termination reason: Instruction limit
% 1.57/0.49 % (1459877)Termination phase: Saturation
% 1.57/0.49 % (1459877)Time elapsed: 0.060 s
% 1.57/0.49 % (1459877)Peak memory usage: 13 MB
% 1.57/0.49 % (1459877)Instructions burned: 117 (million)
% 1.57/0.49 % (1459878)Instruction limit reached!
% 1.57/0.49 % (1459878)------------------------------
% 1.57/0.49 % (1459878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459878)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459878)Termination reason: Instruction limit
% 1.57/0.49 % (1459878)Termination phase: Saturation
% 1.57/0.49 % (1459878)Time elapsed: 0.064 s
% 1.57/0.49 % (1459878)Peak memory usage: 14 MB
% 1.57/0.49 % (1459878)Instructions burned: 131 (million)
% 1.57/0.49 % (1459888)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3824821735:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.49 % (1459887)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2561934235:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.57/0.49 % (1459889)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=2749771626:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.57/0.49 % (1459879)Instruction limit reached!
% 1.57/0.49 % (1459879)------------------------------
% 1.57/0.49 % (1459879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459879)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459879)Termination reason: Instruction limit
% 1.57/0.49 % (1459879)Termination phase: Saturation
% 1.57/0.49 % (1459879)Time elapsed: 0.090 s
% 1.57/0.49 % (1459879)Peak memory usage: 14 MB
% 1.57/0.49 % (1459879)Instructions burned: 159 (million)
% 1.57/0.49 % TRYING [1]
% 1.57/0.49 % TRYING [5]
% 1.57/0.49 % TRYING [2]
% 1.57/0.49 % TRYING [3]
% 1.57/0.49 % (1459893)ott-21_1_sil=16000:fs=off:random_seed=3574638732:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.57/0.49 % TRYING [4]
% 1.57/0.49 % (1459888)Instruction limit reached!
% 1.57/0.49 % (1459888)------------------------------
% 1.57/0.49 % (1459888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459888)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459888)Termination reason: Instruction limit
% 1.57/0.49 % (1459888)Termination phase: Saturation
% 1.57/0.49 % (1459888)Time elapsed: 0.067 s
% 1.57/0.49 % (1459888)Peak memory usage: 13 MB
% 1.57/0.49 % (1459888)Instructions burned: 133 (million)
% 1.57/0.49 % (1459895)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=362096685:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.57/0.49 % TRYING [5]
% 1.57/0.49 % (1459893)Instruction limit reached!
% 1.57/0.49 % (1459893)------------------------------
% 1.57/0.49 % (1459893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459893)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459893)Termination reason: Instruction limit
% 1.57/0.49 % (1459893)Termination phase: Saturation
% 1.57/0.49 % (1459893)Time elapsed: 0.090 s
% 1.57/0.49 % (1459893)Peak memory usage: 13 MB
% 1.57/0.49 % (1459893)Instructions burned: 180 (million)
% 1.57/0.49 % (1459874) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1459868-1459874"...
% 1.57/0.49 % (1459874)...printing done.
% 1.57/0.49 % (1459874)Refutation found. Thanks to Tanya!
% 1.57/0.49 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.49 % (1459874)------------------------------
% 1.57/0.49 % (1459874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.49 % (1459874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.49 % (1459874)CaDiCaL version: 2.1.3
% 1.57/0.49 % (1459874)Termination reason: Refutation
% 1.57/0.49 % (1459874)Time elapsed: 0.213 s
% 1.57/0.49 % (1459874)Peak memory usage: 20 MB
% 1.57/0.49 % (1459874)Instructions burned: 708 (million)
% 1.57/0.49 % (1459868)Success in time 0.247 s
% 1.57/0.49 % Vampire exiting
%------------------------------------------------------------------------------