%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC181-1 : 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 : n001.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 01:04:59 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 17 unt; 2 def)
% Number of atoms : 124 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 164 ( 85 ~; 77 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause18) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause19) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause20) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f175,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause162) ).
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(f210,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f215,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f219,plain,
~ duplicatefreeP(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(f271,plain,
! [X0] :
( lt(X0,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f280,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f345,plain,
! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f361,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(consistent_polarity_flipping,[],[f239]) ).
fof(f366,plain,
~ strictorderedP(sk3),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f369,plain,
duplicatefreeP(sk3),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f418,definition,
( spl0_10
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f419,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl0_11
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f422,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f280,f421,f418]) ).
fof(f433,plain,
( ! [X0] : lt(X0,X0)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f271,f419]) ).
fof(f1985,plain,
( ~ ssList(sk3)
| sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) ),
inference(resolution,[],[f345,f369]) ).
fof(f1986,plain,
sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))),
inference(forward_subsumption_resolution,[],[f1985,f202]) ).
fof(f2058,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| 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) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f361,f419]) ).
fof(f2059,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ lt(X1,X3) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2058,f419]) ).
fof(f2157,plain,
( ~ ssList(sk3)
| ~ spl0_11 ),
inference(resolution,[],[f422,f369]) ).
fof(f2158,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2157,f202]) ).
fof(f2159,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f2158]) ).
fof(f4774,plain,
( ~ ssList(sk3)
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf75(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(superposition,[],[f2059,f1986]) ).
fof(f4853,plain,
( ~ ssList(skaf76(sk3))
| ~ ssList(skaf75(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4774,f202]) ).
fof(f4890,plain,
( ~ ssList(skaf75(sk3))
| strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4853,f19]) ).
fof(f4903,plain,
( strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4890,f20]) ).
fof(f4906,plain,
( ~ ssList(skaf77(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4903,f366]) ).
fof(f4909,plain,
( ~ lt(skaf74(sk3),skaf74(sk3))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4906,f18]) ).
fof(f4912,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4909,f433]) ).
fof(f4913,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f4912]) ).
cnf(s8,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f423]) ).
cnf(s76,plain,
~ spl0_11,
inference(sat_conversion,[],[f2159]) ).
cnf(s294,plain,
~ spl0_10,
inference(sat_conversion,[],[f4913]) ).
cnf(s309,plain,
$false,
inference(rat,[],[s8,s76,s294]) ).
fof(f4914,plain,
$false,
inference(avatar_sat_refutation,[],[s309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 08:26:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.56 % (209441)Will run a generic schedule for satisfiability detection.
% 0.17/0.56 % (209450)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1812648792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.56 % (209447)% WARNING: option uhcvi not known.
% 0.17/0.56 % (209446)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1190500075_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.56 % (209447)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2943120620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.56 % (209448)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4259359512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.56 % (209449)dis+10_1_sil=32000:sp=arity:random_seed=3995329269:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.56 % (209451)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2965768166:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (209452)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=497363760:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % (209450)Instruction limit reached!
% 0.17/0.56 % (209450)------------------------------
% 0.17/0.56 % (209450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (209450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (209450)CaDiCaL version: 2.1.3
% 0.17/0.56 % (209450)Termination reason: Instruction limit
% 0.17/0.56 % (209450)Termination phase: Saturation
% 0.17/0.56 % (209450)Time elapsed: 0.036 s
% 0.17/0.56 % (209450)Peak memory usage: 13 MB
% 0.17/0.56 % (209450)Instructions burned: 119 (million)
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % (209460)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2820947170:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % (209449)Instruction limit reached!
% 0.17/0.56 % (209449)------------------------------
% 0.17/0.56 % (209449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (209449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (209449)CaDiCaL version: 2.1.3
% 0.17/0.56 % (209449)Termination reason: Instruction limit
% 0.17/0.56 % (209449)Termination phase: Saturation
% 0.17/0.56 % (209449)Time elapsed: 0.062 s
% 0.17/0.56 % (209449)Peak memory usage: 13 MB
% 0.17/0.56 % (209449)Instructions burned: 105 (million)
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % (209451)Instruction limit reached!
% 0.17/0.56 % (209451)------------------------------
% 0.17/0.56 % (209451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (209451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (209451)CaDiCaL version: 2.1.3
% 0.17/0.56 % (209451)Termination reason: Instruction limit
% 0.17/0.56 % (209451)Termination phase: Saturation
% 0.17/0.56 % (209451)Time elapsed: 0.069 s
% 0.17/0.56 % (209451)Peak memory usage: 14 MB
% 0.17/0.56 % (209451)Instructions burned: 131 (million)
% 0.17/0.56 % (209462)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=349470211:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (209463)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=2062808341:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % (209452)Instruction limit reached!
% 0.17/0.56 % (209452)------------------------------
% 0.17/0.56 % (209452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (209452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (209452)CaDiCaL version: 2.1.3
% 0.17/0.56 % (209452)Termination reason: Instruction limit
% 0.17/0.56 % (209452)Termination phase: Saturation
% 0.17/0.56 % (209452)Time elapsed: 0.099 s
% 0.17/0.56 % (209452)Peak memory usage: 14 MB
% 0.17/0.56 % (209452)Instructions burned: 159 (million)
% 0.17/0.56 % (209447) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-209441-209447"...
% 0.17/0.56 % (209447)...printing done.
% 0.17/0.56 % (209447)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56 % (209447)------------------------------
% 0.17/0.56 % (209447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (209447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (209447)CaDiCaL version: 2.1.3
% 0.17/0.56 % (209447)Termination reason: Refutation
% 0.17/0.56 % (209447)Time elapsed: 0.101 s
% 0.17/0.56 % (209447)Peak memory usage: 14 MB
% 0.17/0.56 % (209447)Instructions burned: 167 (million)
% 0.17/0.56 % (209441)Success in time 0.138 s
% 0.17/0.56 % Vampire exiting
%------------------------------------------------------------------------------