%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC043-1 : 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 : n012.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 01:04:25 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 33 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f209]) ).
fof(f215,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f255,plain,
! [X0,X1] :
( app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f122,f215,f215]) ).
fof(f270,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f215,f206]) ).
fof(f393,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| sk3 = sk4 ),
inference(superposition,[],[f255,f210]) ).
fof(f396,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| sk3 = sk4 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f397,plain,
( ~ ssList(sk3)
| sk3 = sk4 ),
inference(forward_subsumption_resolution,[],[f396,f208]) ).
fof(f398,plain,
sk3 = sk4,
inference(forward_subsumption_resolution,[],[f397,f202]) ).
fof(f399,plain,
$false,
inference(forward_subsumption_resolution,[],[f398,f270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 07:34:49 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 0.08/0.37 % (3217163)Will run a generic schedule for satisfiability detection.
% 0.08/0.37 % (3217169)% WARNING: option uhcvi not known.
% 0.08/0.37 % (3217169)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1803350947:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.37 % (3217170)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3481822326:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.37 % (3217171)dis+10_1_sil=32000:sp=arity:random_seed=1096913442:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.37 % (3217168)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2643934098_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.37 % (3217172)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1338909744:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.37 % (3217173)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1758158809:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.37 % (3217174)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2691555443:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.37 % (3217171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3217163-3217171"...
% 0.08/0.37 % (3217169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3217163-3217169"...
% 0.08/0.37 % (3217171)...printing done.
% 0.08/0.37 % (3217169)...printing done.
% 0.08/0.37 % (3217171)Refutation found. Thanks to Tanya!
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.37 % (3217171)------------------------------
% 0.08/0.37 % (3217171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.37 % (3217171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.37 % (3217171)CaDiCaL version: 2.1.3
% 0.08/0.37 % (3217171)Termination reason: Refutation
% 0.08/0.37 % (3217171)Time elapsed: 0.003 s
% 0.08/0.37 % (3217171)Peak memory usage: 11 MB
% 0.08/0.37 % (3217171)Instructions burned: 6 (million)
% 0.08/0.37 % (3217163)Success in time 0.031 s
% 0.08/0.37 % Vampire exiting
%------------------------------------------------------------------------------