%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC046-1 : 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 : n014.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 01:04:26 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 46 ( 14 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f232,plain,
! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f71,f212]) ).
fof(f248,plain,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| sk4 = X0 ),
inference(definition_unfolding,[],[f112,f212]) ).
fof(f267,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f212,f206]) ).
fof(f279,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f296,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f346,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f210,f232]) ).
fof(f362,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| sk3 = sk4 ),
inference(resolution,[],[f248,f202]) ).
fof(f365,plain,
sk3 = cons(skaf83(sk3),skaf82(sk3)),
inference(forward_subsumption_resolution,[],[f362,f267]) ).
fof(f1266,plain,
( memberP(sk3,skaf83(sk3))
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3)) ),
inference(superposition,[],[f296,f365]) ).
fof(f1267,plain,
( ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3)) ),
inference(forward_subsumption_resolution,[],[f1266,f346]) ).
fof(f1269,plain,
~ ssList(skaf82(sk3)),
inference(forward_subsumption_resolution,[],[f1267,f12]) ).
fof(f1271,plain,
$false,
inference(forward_subsumption_resolution,[],[f1269,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 % Computer : n014.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Mon Sep 28 07:35:46 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.47 Running first-order model finding
% 0.17/0.47 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
% 0.17/0.54 % (1609929)Will run a generic schedule for satisfiability detection.
% 0.17/0.54 % (1609935)% WARNING: option uhcvi not known.
% 0.17/0.54 % (1609940)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=705050335:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.54 % (1609934)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4027791974_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.54 % (1609937)dis+10_1_sil=32000:sp=arity:random_seed=2127749408:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.54 % (1609936)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2030105031:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.54 % (1609938)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1243719329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.54 % (1609935)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4072233418:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.54 % (1609939)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3464105682:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.54 % TRYING [1]
% 0.17/0.54 % TRYING [2]
% 0.17/0.54 % TRYING [3]
% 0.17/0.54 % (1609937) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1609929-1609937"...
% 0.17/0.54 % (1609937)...printing done.
% 0.17/0.54 % (1609937)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (1609937)------------------------------
% 0.17/0.54 % (1609937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54 % (1609937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54 % (1609937)CaDiCaL version: 2.1.3
% 0.17/0.54 % (1609937)Termination reason: Refutation
% 0.17/0.54 % (1609937)Time elapsed: 0.026 s
% 0.17/0.54 % (1609937)Peak memory usage: 12 MB
% 0.17/0.54 % (1609937)Instructions burned: 40 (million)
% 0.17/0.54 % (1609929)Success in time 0.062 s
% 0.17/0.54 % Vampire exiting
%------------------------------------------------------------------------------