%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC274-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 0.84s 0.47s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 23 unt; 2 def)
% Number of atoms : 133 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 147 ( 66 ~; 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 : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).
fof(f106,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f210,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f215,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f219,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f215,f205]) ).
fof(f239,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] : ~ ssItem(skaf65(X0)),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f258,plain,
! [X0] : ~ ssItem(skaf64(X0)),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f292,plain,
! [X0] :
( leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f302,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ssItem(X1)
| ssItem(X0)
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f346,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(f361,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X3)
| ssItem(X1)
| strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(consistent_polarity_flipping,[],[f239]) ).
fof(f366,plain,
~ strictorderedP(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f369,plain,
totalorderedP(sk3),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f2574,plain,
( ~ ssList(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
inference(resolution,[],[f346,f369]) ).
fof(f2582,plain,
sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))),
inference(forward_subsumption_resolution,[],[f2574,f202]) ).
fof(f7409,plain,
( ~ ssList(sk3)
| ~ ssList(skaf67(sk3))
| ~ ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(superposition,[],[f361,f2582]) ).
fof(f7486,plain,
( ~ ssList(skaf67(sk3))
| ~ ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7409,f202]) ).
fof(f7503,plain,
( ~ ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7486,f28]) ).
fof(f7528,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7503,f29]) ).
fof(f7536,plain,
( ssItem(skaf64(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7528,f257]) ).
fof(f7539,plain,
( strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7536,f258]) ).
fof(f7542,plain,
( ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f7539,f366]) ).
fof(f7545,plain,
lt(skaf64(sk3),skaf65(sk3)),
inference(forward_subsumption_resolution,[],[f7542,f27]) ).
fof(f7551,definition,
( spl0_284
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
fof(f7553,plain,
( lt(skaf64(sk3),skaf65(sk3))
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f7551]) ).
fof(f7560,definition,
( spl0_286
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
fof(f7561,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| spl0_286 ),
inference(avatar_component_clause,[],[f7560]) ).
fof(f7572,plain,
spl0_284,
inference(avatar_split_clause,[],[f7545,f7551]) ).
fof(f9282,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_284 ),
inference(resolution,[],[f7553,f302]) ).
fof(f9283,plain,
( ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f9282,f257]) ).
fof(f9288,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f9283,f258]) ).
fof(f9293,plain,
( ~ spl0_286
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f9288,f7551,f7560]) ).
fof(f9443,plain,
( ~ ssList(sk3)
| ~ totalorderedP(sk3)
| spl0_286 ),
inference(resolution,[],[f7561,f292]) ).
fof(f9448,plain,
( ~ totalorderedP(sk3)
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f9443,f202]) ).
fof(f9451,plain,
( $false
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f9448,f369]) ).
fof(f9452,plain,
spl0_286,
inference(avatar_contradiction_clause,[],[f9451]) ).
cnf(s376,plain,
spl0_284,
inference(sat_conversion,[],[f7572]) ).
cnf(s436,plain,
( ~ spl0_284
| ~ spl0_286 ),
inference(sat_conversion,[],[f9293]) ).
cnf(s439,plain,
spl0_286,
inference(sat_conversion,[],[f9452]) ).
cnf(s442,plain,
~ spl0_284,
inference(rat,[],[s436,s439]) ).
cnf(s443,plain,
$false,
inference(rat,[],[s376,s442]) ).
fof(f9455,plain,
$false,
inference(avatar_sat_refutation,[],[s443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC274-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 08:49:39 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.47 % (2107593)Will run a generic schedule for satisfiability detection.
% 0.84/0.47 % (2107602)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3211100603:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.84/0.47 % (2107599)% WARNING: option uhcvi not known.
% 0.84/0.47 % (2107601)dis+10_1_sil=32000:sp=arity:random_seed=1872222812:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.84/0.47 % (2107598)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2763357654_2999 on theBenchmark for (2999ds/0Mi)
% 0.84/0.47 % (2107599)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1497357256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.84/0.47 % (2107600)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=439297052:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.84/0.47 % (2107603)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4083548764:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.47 % (2107604)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=405946683:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.84/0.47 % TRYING [1]
% 0.84/0.47 % TRYING [2]
% 0.84/0.47 % TRYING [3]
% 0.84/0.47 % (2107602)Instruction limit reached!
% 0.84/0.47 % (2107602)------------------------------
% 0.84/0.47 % (2107602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107602)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107602)Termination reason: Instruction limit
% 0.84/0.47 % (2107602)Termination phase: Saturation
% 0.84/0.47 % (2107602)Time elapsed: 0.033 s
% 0.84/0.47 % (2107602)Peak memory usage: 13 MB
% 0.84/0.47 % (2107602)Instructions burned: 116 (million)
% 0.84/0.47 % (2107612)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1148190023:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.84/0.47 % TRYING [4]
% 0.84/0.47 % TRYING [1]
% 0.84/0.47 % TRYING [2]
% 0.84/0.47 % TRYING [3]
% 0.84/0.47 % TRYING [4]
% 0.84/0.47 % (2107601)Instruction limit reached!
% 0.84/0.47 % (2107601)------------------------------
% 0.84/0.47 % (2107601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107601)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107601)Termination reason: Instruction limit
% 0.84/0.47 % (2107601)Termination phase: Saturation
% 0.84/0.47 % (2107601)Time elapsed: 0.060 s
% 0.84/0.47 % (2107601)Peak memory usage: 13 MB
% 0.84/0.47 % (2107601)Instructions burned: 105 (million)
% 0.84/0.47 % (2107603)Instruction limit reached!
% 0.84/0.47 % (2107603)------------------------------
% 0.84/0.47 % (2107603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107603)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107603)Termination reason: Instruction limit
% 0.84/0.47 % (2107603)Termination phase: Saturation
% 0.84/0.47 % (2107603)Time elapsed: 0.067 s
% 0.84/0.47 % (2107603)Peak memory usage: 14 MB
% 0.84/0.47 % (2107603)Instructions burned: 131 (million)
% 0.84/0.47 % (2107614)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2707356368:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.47 % (2107615)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=795884935:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.84/0.47 % TRYING [5]
% 0.84/0.47 % TRYING [5]
% 0.84/0.47 % (2107604)Instruction limit reached!
% 0.84/0.47 % (2107604)------------------------------
% 0.84/0.47 % (2107604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107604)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107604)Termination reason: Instruction limit
% 0.84/0.47 % (2107604)Termination phase: Saturation
% 0.84/0.47 % (2107604)Time elapsed: 0.099 s
% 0.84/0.47 % (2107604)Peak memory usage: 14 MB
% 0.84/0.47 % (2107604)Instructions burned: 159 (million)
% 0.84/0.47 % (2107618)ott-21_1_sil=16000:fs=off:random_seed=41272833:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.84/0.47 % (2107614)Instruction limit reached!
% 0.84/0.47 % (2107614)------------------------------
% 0.84/0.47 % (2107614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107614)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107614)Termination reason: Instruction limit
% 0.84/0.47 % (2107614)Termination phase: Saturation
% 0.84/0.47 % (2107614)Time elapsed: 0.072 s
% 0.84/0.47 % (2107614)Peak memory usage: 13 MB
% 0.84/0.47 % (2107614)Instructions burned: 132 (million)
% 0.84/0.47 % (2107620)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2883046244:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.84/0.47 % (2107599) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2107593-2107599"...
% 0.84/0.47 % (2107599)...printing done.
% 0.84/0.47 % (2107599)Refutation found. Thanks to Tanya!
% 0.84/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.84/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.47 % (2107599)------------------------------
% 0.84/0.47 % (2107599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.47 % (2107599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.47 % (2107599)CaDiCaL version: 2.1.3
% 0.84/0.47 % (2107599)Termination reason: Refutation
% 0.84/0.47 % (2107599)Time elapsed: 0.190 s
% 0.84/0.47 % (2107599)Peak memory usage: 16 MB
% 0.84/0.47 % (2107599)Instructions burned: 316 (million)
% 0.84/0.47 % (2107593)Success in time 0.23 s
% 0.84/0.47 % Vampire exiting
%------------------------------------------------------------------------------