%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC096-1 : 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 : n008.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 01:04:39 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 56 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 37 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f216,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk1
| app(X1,cons(X0,nil)) != sk2
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk1
| sk2 != app(X1,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f218,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f221,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f222]) ).
fof(f226,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f233,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk3
| sk4 != app(X1,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f217,f205,f204]) ).
fof(f258,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f265,plain,
! [X0,X1] :
( sk4 != app(X1,cons(X0,nil))
| ~ ssList(X1)
| cons(X0,nil) != sk3
| ~ ssItem(X0) ),
inference(global_subsumption,[],[f233,f258]) ).
fof(f286,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[],[f218,f258]) ).
fof(f320,plain,
ssList(sk6),
inference(forward_subsumption_resolution,[],[f219,f258]) ).
fof(f324,plain,
sk3 = cons(sk5,nil),
inference(forward_subsumption_resolution,[],[f221,f258]) ).
fof(f326,plain,
! [X0] :
( sk4 != app(X0,sk3)
| ~ ssList(X0)
| sk3 != sk3
| ~ ssItem(sk5) ),
inference(superposition,[],[f265,f324]) ).
fof(f343,plain,
! [X0] :
( sk4 != app(X0,sk3)
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f348,plain,
! [X0] :
( sk4 != app(X0,sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f343,f286]) ).
fof(f364,plain,
sk4 = app(sk6,cons(sk5,nil)),
inference(forward_subsumption_resolution,[],[f223,f258]) ).
fof(f365,plain,
sk4 = app(sk6,sk3),
inference(forward_demodulation,[],[f364,f324]) ).
fof(f375,plain,
( sk4 != sk4
| ~ ssList(sk6) ),
inference(superposition,[],[f348,f365]) ).
fof(f379,plain,
~ ssList(sk6),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f380,plain,
$false,
inference(forward_subsumption_resolution,[],[f379,f320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:52:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.44 % (2086012)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (2086019)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3995521641:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (2086019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2086012-2086019"...
% 0.10/0.44 % (2086019)...printing done.
% 0.10/0.44 % (2086019)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (2086019)------------------------------
% 0.10/0.44 % (2086019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (2086019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (2086019)CaDiCaL version: 2.1.3
% 0.10/0.44 % (2086019)Termination reason: Refutation
% 0.10/0.44 % (2086019)Time elapsed: 0.005 s
% 0.10/0.44 % (2086019)Peak memory usage: 12 MB
% 0.10/0.44 % (2086019)Instructions burned: 12 (million)
% 0.10/0.44 % (2086012)Success in time 0.037 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------