%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC006-1 : 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 : n017.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 25 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(sk5,sk6),sk7) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk4 = app(app(sk5,sk6),sk7),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
app(sk5,sk7) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk3 = app(sk5,sk7),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f291,plain,
( sk4 != sk4
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| sk3 != app(sk5,sk7) ),
inference(superposition,[],[f216,f211]) ).
fof(f292,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| sk3 != app(sk5,sk7) ),
inference(trivial_inequality_removal,[],[f291]) ).
fof(f293,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| sk3 != app(sk5,sk7) ),
inference(forward_subsumption_resolution,[],[f292,f208]) ).
fof(f296,plain,
( ~ ssList(sk5)
| sk3 != app(sk5,sk7) ),
inference(forward_subsumption_resolution,[],[f293,f209]) ).
fof(f306,plain,
sk3 != app(sk5,sk7),
inference(forward_subsumption_resolution,[],[f296,f207]) ).
fof(f307,plain,
$false,
inference(forward_subsumption_resolution,[],[f306,f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC006-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n017.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 28 07:20:38 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.18/0.48 % (3372205)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (3372211)% WARNING: option uhcvi not known.
% 0.18/0.48 % (3372210)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1632755736_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (3372211)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3704973419:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (3372212)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=324899132:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (3372213)dis+10_1_sil=32000:sp=arity:random_seed=666866801:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (3372214)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2014311767:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (3372215)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3866092168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (3372216)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=26270987:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (3372213) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3372205-3372213"...
% 0.18/0.48 % (3372211) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3372205-3372211"...
% 0.18/0.48 % (3372213)...printing done.
% 0.18/0.48 % (3372211)...printing done.
% 0.18/0.48 % (3372212) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3372205-3372212"...
% 0.18/0.48 % (3372213)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (3372213)------------------------------
% 0.18/0.48 % (3372213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3372213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3372213)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3372213)Termination reason: Refutation
% 0.18/0.48 % (3372213)Time elapsed: 0.004 s
% 0.18/0.48 % (3372213)Peak memory usage: 12 MB
% 0.18/0.48 % (3372213)Instructions burned: 4 (million)
% 0.18/0.48 % (3372205)Success in time 0.043 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------