%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC007-1 : 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 : n004.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 01:04:15 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 71 ( 37 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 50 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f156,axiom,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).
fof(f157,plain,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil = app(X0,X1) ),
inference(reorient_equations,[],[f156]) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk3,
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,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f228,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sk3) = X0 ),
inference(definition_unfolding,[],[f73,f204]) ).
fof(f229,plain,
! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = X0 ),
inference(definition_unfolding,[],[f74,f204]) ).
fof(f256,plain,
! [X0,X1] :
( sk3 != X0
| sk3 != X1
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = sk3 ),
inference(definition_unfolding,[],[f157,f204,f204,f204]) ).
fof(f260,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f206]) ).
fof(f262,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk3 ),
inference(definition_unfolding,[],[f207,f205,f206]) ).
fof(f275,plain,
! [X1] :
( sk3 != X1
| ~ ssList(X1)
| ~ ssList(sk3)
| sk3 = app(sk3,X1) ),
inference(equality_resolution,[],[f256]) ).
fof(f276,plain,
( ~ ssList(sk3)
| ~ ssList(sk3)
| sk3 = app(sk3,sk3) ),
inference(equality_resolution,[],[f275]) ).
fof(f288,plain,
( ~ ssList(sk3)
| sk3 = app(sk3,sk3) ),
inference(duplicate_literal_removal,[],[f276]) ).
fof(f293,plain,
sk3 = app(sk3,sk3),
inference(global_subsumption,[],[f288,f260]) ).
fof(f339,plain,
sk4 = app(sk4,sk3),
inference(resolution,[],[f228,f203]) ).
fof(f388,plain,
sk4 = app(sk3,sk4),
inference(resolution,[],[f229,f203]) ).
fof(f423,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != app(sk3,X0) ),
inference(superposition,[],[f262,f388]) ).
fof(f425,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| sk3 != app(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f423,f203]) ).
fof(f426,plain,
! [X0] :
( sk4 != app(sk4,X0)
| ~ ssList(X0)
| sk3 != app(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f425,f202]) ).
fof(f427,plain,
( sk4 != sk4
| ~ ssList(sk3)
| sk3 != app(sk3,sk3) ),
inference(superposition,[],[f426,f339]) ).
fof(f428,plain,
( ~ ssList(sk3)
| sk3 != app(sk3,sk3) ),
inference(trivial_inequality_removal,[],[f427]) ).
fof(f429,plain,
sk3 != app(sk3,sk3),
inference(forward_subsumption_resolution,[],[f428,f202]) ).
fof(f430,plain,
$false,
inference(forward_subsumption_resolution,[],[f429,f293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 07:24:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.46 % (177541)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (177551)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3425465721:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % (177547)% WARNING: option uhcvi not known.
% 0.09/0.46 % (177549)dis+10_1_sil=32000:sp=arity:random_seed=2269411381:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (177546)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1021476741_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % (177548)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=592240156:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (177550)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2736592859:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (177552)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3099130220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % (177547)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1191154443:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46 % (177548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-177541-177548"...
% 0.09/0.46 % (177548)...printing done.
% 0.09/0.46 % (177552) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-177541-177552"...
% 0.09/0.46 % TRYING [1]
% 0.09/0.46 % (177548)Refutation found. Thanks to Tanya!
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46 % (177548)------------------------------
% 0.09/0.46 % (177548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (177548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (177548)CaDiCaL version: 2.1.3
% 0.09/0.46 % (177548)Termination reason: Refutation
% 0.09/0.46 % (177548)Time elapsed: 0.008 s
% 0.09/0.46 % (177548)Peak memory usage: 12 MB
% 0.09/0.46 % (177548)Instructions burned: 11 (million)
% 0.09/0.46 % (177541)Success in time 0.051 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------