%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:33:51 AM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 10 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
fof(f87,conjecture,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
fof(f88,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(negated_conjecture,[status(cth)],[f87]) ).
fof(f92,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(flattening,[],[f88]) ).
fof(f169,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ? [X0] : s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X0) )
& ( ! [X0] : s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f170,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ? [X0] : s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X0) )
& ( ! [X1] : s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK9) != s(tyop_2Emin_2Ebool,sK9) )
& ( ! [X1] : s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f170]) ).
fof(f330,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK9) != s(tyop_2Emin_2Ebool,sK9) ),
inference(cnf_transformation,[],[f171]) ).
fof(f400,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f92]) ).
fof(f402,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f407,plain,
$false,
inference(global_subsumption,[],[f402,f400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 11:47:17 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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 % (2255480)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2255487)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3453515789:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (2255486)% WARNING: option uhcvi not known.
% 0.18/0.48 % (2255487) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2255480-2255487"...
% 0.18/0.48 % (2255487)...printing done.
% 0.18/0.48 % (2255487)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2255487)------------------------------
% 0.18/0.48 % (2255487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (2255487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (2255487)CaDiCaL version: 2.1.3
% 0.18/0.48 % (2255487)Termination reason: Refutation
% 0.18/0.48 % (2255487)Time elapsed: 0.004 s
% 0.18/0.48 % (2255487)Peak memory usage: 11 MB
% 0.18/0.48 % (2255487)Instructions burned: 13 (million)
% 0.18/0.48 % (2255480)Success in time 0.036 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------