%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 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 12:59:38 PM UTC 2026
% Result : Theorem 0.27s 0.65s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 30 ( 6 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 25 ( 5 ~; 0 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2539,conjecture,
! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2540,negated_conjecture,
~ ! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2539]) ).
fof(f4069,plain,
? [X0] :
( ? [X1] :
( ~ p(X1)
& p(X0)
& X0 = X1
& cProp___24t(X1) )
& cProp___24t(X0) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f4070,plain,
? [X0] :
( ? [X1] :
( ~ p(X1)
& p(X0)
& X0 = X1
& cProp___24t(X1) )
& cProp___24t(X0) ),
inference(flattening,[],[f4069]) ).
fof(f6474,plain,
( ~ p(sK1357)
& p(sK1356)
& sK1356 = sK1357
& cProp___24t(sK1357)
& cProp___24t(sK1356) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1356,sK1357]),skolemize(X0,sK1356),skolemize(X1,sK1357)],[f4070]) ).
fof(f12395,plain,
sK1356 = sK1357,
inference(cnf_transformation,[],[f6474]) ).
fof(f12396,plain,
p(sK1356),
inference(cnf_transformation,[],[f6474]) ).
fof(f12397,plain,
~ p(sK1357),
inference(cnf_transformation,[],[f6474]) ).
fof(f14225,plain,
p(sK1357),
inference(definition_unfolding,[],[f12396,f12395]) ).
fof(f14626,plain,
$false,
inference(global_subsumption,[],[f12397,f14225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n020.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:51:49 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.27/0.65 % (3653)Will run a generic schedule for satisfiability detection.
% 0.27/0.65 % (3660)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=135526861:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 0.27/0.65 % (3659)% WARNING: option uhcvi not known.
% 0.27/0.65 % (3658)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1069926903_2998 on theBenchmark for (2998ds/0Mi)
% 0.27/0.65 % (3659)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=901542803:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 0.27/0.65 % (3661)dis+10_1_sil=32000:sp=arity:random_seed=2881630348:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 0.27/0.65 % (3662)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=743126219:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 0.27/0.65 % (3663)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=144279367:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 0.27/0.65 % (3664)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2285399980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 0.27/0.65 % (3661)Instruction limit reached!
% 0.27/0.65 % (3661)------------------------------
% 0.27/0.65 % (3661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.65 % (3661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.65 % (3661)CaDiCaL version: 2.1.3
% 0.27/0.65 % (3661)Termination reason: Instruction limit
% 0.27/0.65 % (3661)Termination phase: Property scanning
% 0.27/0.65 % (3661)Time elapsed: 0.063 s
% 0.27/0.65 % (3661)Peak memory usage: 19 MB
% 0.27/0.65 % (3661)Instructions burned: 103 (million)
% 0.27/0.65 % (3662)Instruction limit reached!
% 0.27/0.65 % (3662)------------------------------
% 0.27/0.65 % (3662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.65 % (3662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.65 % (3662)CaDiCaL version: 2.1.3
% 0.27/0.65 % (3662)Termination reason: Instruction limit
% 0.27/0.65 % (3662)Termination phase: NewCNF
% 0.27/0.65 % (3662)Time elapsed: 0.065 s
% 0.27/0.65 % (3662)Peak memory usage: 18 MB
% 0.27/0.65 % (3662)Instructions burned: 118 (million)
% 0.27/0.65 % (3660) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3653-3660"...
% 0.27/0.65 % (3663)Instruction limit reached!
% 0.27/0.65 % (3663)------------------------------
% 0.27/0.65 % (3663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.65 % (3663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.65 % (3663)CaDiCaL version: 2.1.3
% 0.27/0.65 % (3663)Termination reason: Instruction limit
% 0.27/0.65 % (3663)Termination phase: Property scanning
% 0.27/0.65 % (3663)Time elapsed: 0.072 s
% 0.27/0.65 % (3663)Peak memory usage: 19 MB
% 0.27/0.65 % (3663)Instructions burned: 133 (million)
% 0.27/0.65 % (3660)...printing done.
% 0.27/0.65 % (3660)Refutation found. Thanks to Tanya!
% 0.27/0.65 % SZS status Theorem for theBenchmark
% 0.27/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.65 % (3660)------------------------------
% 0.27/0.65 % (3660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.65 % (3660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.65 % (3660)CaDiCaL version: 2.1.3
% 0.27/0.65 % (3660)Termination reason: Refutation
% 0.27/0.65 % (3660)Time elapsed: 0.079 s
% 0.27/0.65 % (3660)Peak memory usage: 21 MB
% 0.27/0.65 % (3660)Instructions burned: 307 (million)
% 0.27/0.65 % (3653)Success in time 0.215 s
% 0.27/0.65 % Vampire exiting
%------------------------------------------------------------------------------