%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:17:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X0,X2)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f10,axiom,
equalish(a,aa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_aa) ).
fof(f11,negated_conjecture,
~ equalish(aa,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_a) ).
fof(f18,plain,
! [X0] : ~ equalish(X0,X0),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| equalish(X0,X1) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f21,plain,
~ equalish(a,aa),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f22,plain,
equalish(aa,a),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f25,plain,
! [X0] :
( equalish(X0,aa)
| equalish(X0,a) ),
inference(resolution,[],[f19,f22]) ).
fof(f31,plain,
equalish(a,a),
inference(resolution,[],[f25,f21]) ).
fof(f32,plain,
$false,
inference(forward_subsumption_resolution,[],[f31,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 18:39:46 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.44 % (1096154)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (1096160)% WARNING: option uhcvi not known.
% 0.12/0.44 % (1096165)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1084605602:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.44 % (1096159)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1684931057_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.44 % (1096162)dis+10_1_sil=32000:sp=arity:random_seed=1999096894:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.44 % (1096160)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=21973055:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.44 % (1096161)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3588209232:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.44 % (1096163)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1104915028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.44 % (1096164)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3882744812:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.44 % (1096162) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096162"...
% 0.12/0.44 % (1096165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096165"...
% 0.12/0.44 % TRYING [1]
% 0.12/0.44 % (1096164) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096164"...
% 0.12/0.44 % TRYING [2]
% 0.12/0.44 % (1096160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096160"...
% 0.12/0.44 % (1096161) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096161"...
% 0.12/0.44 % (1096163) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096154-1096163"...
% 0.12/0.44 % TRYING [3]
% 0.12/0.44 % (1096160)...printing done.
% 0.12/0.44 % (1096165)...printing done.
% 0.12/0.44 % (1096164)...printing done.
% 0.12/0.44 % (1096162)...printing done.
% 0.12/0.44 % (1096161)...printing done.
% 0.12/0.44 % TRYING [4]
% 0.12/0.44 % (1096163)...printing done.
% 0.12/0.44 % (1096160)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (1096160)------------------------------
% 0.12/0.44 % (1096160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.44 % (1096160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.44 % (1096160)CaDiCaL version: 2.1.3
% 0.12/0.44 % (1096160)Termination reason: Refutation
% 0.12/0.44 % (1096160)Time elapsed: 0.001 s
% 0.12/0.44 % (1096160)Peak memory usage: 11 MB
% 0.12/0.44 % (1096154)Success in time 0.036 s
% 0.12/0.44 % Vampire exiting
%------------------------------------------------------------------------------