%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP001+1 : 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 : n020.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 11:33:50 AM UTC 2026
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% 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(f23,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(f24,conjecture,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
fof(f25,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(flattening,[],[f25]) ).
fof(f55,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,[],[f23]) ).
fof(f56,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,[],[f55]) ).
fof(f57,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK3) != s(tyop_2Emin_2Ebool,sK3) )
& ( ! [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,[sK3]),skolemize(X0,sK3)],[f56]) ).
fof(f100,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,sK3) != s(tyop_2Emin_2Ebool,sK3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f101,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f26]) ).
fof(f102,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(trivial_inequality_removal,[],[f100]) ).
fof(f103,plain,
$false,
inference(global_subsumption,[],[f102,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.44 % Computer : n020.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Sun Sep 27 11:47:56 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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
% 0.21/0.53 % (3232532)Will run a generic schedule for satisfiability detection.
% 0.21/0.53 % (3232539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3044207169:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.53 % (3232539) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3232532-3232539"...
% 0.21/0.53 % (3232539)...printing done.
% 0.21/0.53 % (3232541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3066143894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.53 % (3232539)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (3232539)------------------------------
% 0.21/0.53 % (3232539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.53 % (3232539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.53 % (3232539)CaDiCaL version: 2.1.3
% 0.21/0.53 % (3232539)Termination reason: Refutation
% 0.21/0.53 % (3232539)Time elapsed: 0.002 s
% 0.21/0.53 % (3232539)Peak memory usage: 11 MB
% 0.21/0.53 % (3232539)Instructions burned: 2 (million)
% 0.21/0.53 % (3232532)Success in time 0.025 s
% 0.21/0.53 % Vampire exiting
%------------------------------------------------------------------------------