%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM781^3 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 : Wed Sep 30 08:19:30 AM UTC 2026
% Result : Theorem 0.10s 0.16s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( cY = cX
=> cX = cY ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM76) ).
fof(f2,negated_conjecture,
~ ( cY = cX
=> cX = cY ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( cY != cX
& cY = cX ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
cY = cX,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
cY != cX,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
cX != cX,
inference(definition_unfolding,[],[f5,f4]) ).
fof(f7,plain,
$false,
inference(trivial_inequality_removal,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM781^3 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 12:54:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.12 Running first-order model finding
% 0.10/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.16 % (65704)Will run a generic schedule for satisfiability detection.
% 0.10/0.16 % (65724)% WARNING: option uhcvi not known.
% 0.10/0.16 % (65724)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2365043888:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.16 % (65723)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=29308388_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.16 % (65725)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4272076823:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.16 % (65729)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=920313853:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.16 % (65726)dis+10_1_sil=32000:sp=arity:random_seed=1044348055:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.16 % (65727)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4133965986:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.16 % (65728)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3336273685:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.16 % Detected minimum model sizes of [1]
% 0.10/0.16 % Detected maximum model sizes of [1]
% 0.10/0.16 % TRYING [1]
% 0.10/0.16 % (65724) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65724"...
% 0.10/0.16 % (65725) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65725"...
% 0.10/0.16 % (65723) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65723"...
% 0.10/0.16 % (65729) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65729"...
% 0.10/0.16 % (65726) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65726"...
% 0.10/0.16 % (65727) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65727"...
% 0.10/0.16 % (65728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-65704-65728"...
% 0.10/0.16 % (65724)...printing done.
% 0.10/0.16 % (65725)...printing done.
% 0.10/0.16 % (65723)...printing done.
% 0.10/0.16 % (65729)...printing done.
% 0.10/0.16 % (65726)...printing done.
% 0.10/0.16 % (65727)...printing done.
% 0.10/0.16 % (65728)...printing done.
% 0.10/0.16 % (65724)Refutation found. Thanks to Tanya!
% 0.10/0.16 % SZS status Theorem for theBenchmark
% 0.10/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.16 % (65724)------------------------------
% 0.10/0.16 % (65724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.16 % (65724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.16 % (65724)CaDiCaL version: 2.1.3
% 0.10/0.16 % (65724)Termination reason: Refutation
% 0.10/0.16 % (65724)Time elapsed: 0.0000 s
% 0.10/0.16 % (65724)Peak memory usage: 11 MB
% 0.10/0.16 % (65704)Success in time 0.031 s
% 0.10/0.16 % Vampire exiting
%------------------------------------------------------------------------------