%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL046-1 : 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 : 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 12:34:39 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 22 unt; 2 def)
% Number of atoms : 46 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f17,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( join(sk1,sk2) != sk2
| join(sk1,sk3) != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
( sk2 != join(sk1,sk2)
| sk3 != join(sk1,sk3) ),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
complement(join(complement(sk2),complement(sk3))) = join(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(definition_unfolding,[],[f18,f6,f6]) ).
fof(f24,definition,
( spl0_1
<=> sk3 = join(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f26,plain,
( sk3 != join(sk1,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,definition,
( spl0_2
<=> sk2 = join(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f30,plain,
( sk2 != join(sk1,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20,f28,f24]) ).
fof(f32,plain,
( sk3 != join(sk3,sk1)
| spl0_1 ),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f54,plain,
! [X0] : join(complement(join(complement(sk2),complement(sk3))),X0) = join(sk1,join(complement(join(complement(sk2),complement(sk3))),X0)),
inference(superposition,[],[f2,f22]) ).
fof(f134,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f140,plain,
sk2 = join(sk1,sk2),
inference(superposition,[],[f54,f4]) ).
fof(f145,plain,
sk2 = join(sk2,sk1),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f149,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f134,f1]) ).
fof(f1724,plain,
sk3 = join(sk1,sk3),
inference(superposition,[],[f54,f149]) ).
fof(f1738,plain,
sk3 = join(sk3,sk1),
inference(forward_demodulation,[],[f1724,f1]) ).
fof(f1760,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1738,f32]) ).
fof(f1761,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1780,plain,
( sk2 != join(sk2,sk1)
| spl0_2 ),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f1781,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1780,f145]) ).
fof(f1782,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1781]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f1761]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1782]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f1783,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 22:57:02 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 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
% 0.22/0.56 % (1267515)Will run a generic schedule for satisfiability detection.
% 0.22/0.56 % (1267525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2246302532:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.56 % (1267522)% WARNING: option uhcvi not known.
% 0.22/0.56 % (1267522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=292954247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.56 % (1267521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3187468994_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.56 % (1267523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3724626088:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.56 % (1267526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2635701269:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.56 % (1267524)dis+10_1_sil=32000:sp=arity:random_seed=3006487197:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.56 % (1267527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2545897734:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.56 % TRYING [1]
% 0.22/0.56 % TRYING [2]
% 0.22/0.56 % TRYING [3]
% 0.22/0.56 % TRYING [4]
% 0.22/0.56 % (1267525) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1267515-1267525"...
% 0.22/0.56 % (1267525)...printing done.
% 0.22/0.56 % (1267525)Refutation found. Thanks to Tanya!
% 0.22/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56 % (1267525)------------------------------
% 0.22/0.56 % (1267525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.56 % (1267525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.56 % (1267525)CaDiCaL version: 2.1.3
% 0.22/0.56 % (1267525)Termination reason: Refutation
% 0.22/0.56 % (1267525)Time elapsed: 0.038 s
% 0.22/0.56 % (1267525)Peak memory usage: 13 MB
% 0.22/0.56 % (1267525)Instructions burned: 70 (million)
% 0.22/0.56 % (1267515)Success in time 0.062 s
% 0.22/0.56 % Vampire exiting
%------------------------------------------------------------------------------