%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC264-1 : 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 : n010.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 01:05:19 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 22 unt; 2 def)
% Number of atoms : 132 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 153 ( 72 ~; 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/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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f230,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(f246,plain,
! [X0] : ~ ssItem(skaf65(X0)),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f247,plain,
! [X0] : ~ ssItem(skaf64(X0)),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f276,plain,
! [X0] :
( leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f287,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ssItem(X1)
| ssItem(X0)
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f325,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(f340,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,[],[f230]) ).
fof(f345,plain,
totalorderedP(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f1552,plain,
( ~ ssList(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
inference(resolution,[],[f325,f345]) ).
fof(f1556,plain,
sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))),
inference(forward_subsumption_resolution,[],[f1552,f202]) ).
fof(f2136,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,[],[f340,f1556]) ).
fof(f2198,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,[],[f2136,f202]) ).
fof(f2218,plain,
( ~ ssList(skaf66(sk3))
| ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f2198,f28]) ).
fof(f2234,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f2218,f29]) ).
fof(f2263,plain,
( ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f2234,f246]) ).
fof(f2272,plain,
( ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f2263,f247]) ).
fof(f2276,plain,
( ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f2272,f206]) ).
fof(f2280,plain,
lt(skaf64(sk3),skaf65(sk3)),
inference(forward_subsumption_resolution,[],[f2276,f27]) ).
fof(f2286,definition,
( spl0_68
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f2288,plain,
( lt(skaf64(sk3),skaf65(sk3))
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f2299,definition,
( spl0_71
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f2301,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| spl0_71 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f2312,plain,
spl0_68,
inference(avatar_split_clause,[],[f2280,f2286]) ).
fof(f2784,plain,
( ssItem(skaf65(sk3))
| ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_68 ),
inference(resolution,[],[f2288,f287]) ).
fof(f2785,plain,
( ssItem(skaf64(sk3))
| ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2784,f246]) ).
fof(f2790,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2785,f247]) ).
fof(f2795,plain,
( ~ spl0_71
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f2790,f2286,f2299]) ).
fof(f2948,plain,
( ~ ssList(sk3)
| ~ totalorderedP(sk3)
| spl0_71 ),
inference(resolution,[],[f2301,f276]) ).
fof(f2951,plain,
( ~ totalorderedP(sk3)
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f2948,f202]) ).
fof(f2952,plain,
( $false
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f2951,f345]) ).
fof(f2953,plain,
spl0_71,
inference(avatar_contradiction_clause,[],[f2952]) ).
cnf(s65,plain,
spl0_68,
inference(sat_conversion,[],[f2312]) ).
cnf(s102,plain,
( ~ spl0_68
| ~ spl0_71 ),
inference(sat_conversion,[],[f2795]) ).
cnf(s105,plain,
spl0_71,
inference(sat_conversion,[],[f2953]) ).
cnf(s106,plain,
~ spl0_68,
inference(rat,[],[s102,s105]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s65,s106]) ).
fof(f2954,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC264-1 : 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 : n010.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 08:46:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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
% 0.18/0.28 % (1780351)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (1780357)% WARNING: option uhcvi not known.
% 0.18/0.28 % (1780357)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3551156168:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (1780356)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1253912173_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (1780360)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2336147618:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (1780358)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2318670154:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (1780359)dis+10_1_sil=32000:sp=arity:random_seed=4225186953:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (1780362)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3666910196:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (1780361)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1144464964:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % (1780357) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1780351-1780357"...
% 0.18/0.28 % (1780357)...printing done.
% 0.18/0.28 % (1780357)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (1780357)------------------------------
% 0.18/0.28 % (1780357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (1780357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (1780357)CaDiCaL version: 2.1.3
% 0.18/0.28 % (1780357)Termination reason: Refutation
% 0.18/0.28 % (1780357)Time elapsed: 0.032 s
% 0.18/0.28 % (1780357)Peak memory usage: 13 MB
% 0.18/0.28 % (1780357)Instructions burned: 93 (million)
% 0.18/0.28 % (1780351)Success in time 0.06 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------