%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% 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 : Tue Sep 29 12:34:11 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 6 unt; 2 def)
% Number of atoms : 63 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f17,negated_conjecture,
( join(sk1,sk2) = sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
( sk2 = join(sk1,sk2)
| converse(sk2) = join(converse(sk1),converse(sk2)) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) != converse(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f20,plain,
( sk2 != join(sk1,sk2)
| converse(sk2) != join(converse(sk1),converse(sk2)) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,definition,
( spl0_1
<=> converse(sk2) = join(converse(sk1),converse(sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f24,plain,
( converse(sk2) = join(converse(sk1),converse(sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f25,plain,
( converse(sk2) != join(converse(sk1),converse(sk2))
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f27,definition,
( spl0_2
<=> sk2 = join(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f28,plain,
( sk2 = join(sk1,sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
( sk2 != join(sk1,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20,f27,f23]) ).
fof(f31,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f27,f23]) ).
fof(f54,plain,
( converse(sk2) != converse(join(sk1,sk2))
| spl0_1 ),
inference(superposition,[],[f25,f11]) ).
fof(f57,plain,
( converse(sk2) != converse(sk2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f28]) ).
fof(f58,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f57]) ).
fof(f59,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f61,plain,
( converse(sk2) = converse(join(sk1,sk2))
| ~ spl0_1 ),
inference(superposition,[],[f11,f24]) ).
fof(f64,plain,
( join(sk1,sk2) = converse(converse(sk2))
| ~ spl0_1 ),
inference(superposition,[],[f10,f61]) ).
fof(f77,plain,
( sk2 != converse(converse(sk2))
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f29,f64]) ).
fof(f78,plain,
( sk2 != sk2
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f77,f10]) ).
fof(f79,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f78]) ).
fof(f80,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f79]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f81,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL003-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 22:49:49 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 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
% 0.07/0.37 % (2837848)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2837855)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2837860)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2466898299:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % (2837854)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1886771392_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2837859)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3374612810:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (2837856)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2510964153:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2837858)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2943790263:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2837857)dis+10_1_sil=32000:sp=arity:random_seed=2795574388:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2837855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3307359985:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2837860) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2837848-2837860"...
% 0.07/0.37 % (2837858) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2837848-2837858"...
% 0.07/0.37 % (2837860)...printing done.
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % (2837859) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2837848-2837859"...
% 0.07/0.37 % (2837857) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2837848-2837857"...
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % (2837860)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (2837860)------------------------------
% 0.07/0.37 % (2837860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (2837860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (2837860)CaDiCaL version: 2.1.3
% 0.07/0.37 % (2837860)Termination reason: Refutation
% 0.07/0.37 % (2837860)Time elapsed: 0.002 s
% 0.07/0.37 % (2837860)Peak memory usage: 12 MB
% 0.07/0.37 % (2837860)Instructions burned: 4 (million)
% 0.07/0.37 % (2837848)Success in time 0.023 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------