TSTP Solution File: REL003-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:13:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 53 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 24 |; 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 : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f26,f48,f65]) ).
fof(f65,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f63,f49]) ).
fof(f49,plain,
( sk2 != join(sk2,sk1)
| spl0_2 ),
inference(superposition,[],[f24,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f24,plain,
( sk2 != join(sk1,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> sk2 = join(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f63,plain,
( sk2 = join(sk2,sk1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f61,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f61,plain,
( converse(converse(sk2)) = join(sk2,sk1)
| ~ spl0_1 ),
inference(superposition,[],[f8,f57]) ).
fof(f57,plain,
( converse(sk2) = converse(join(sk2,sk1))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f54,plain,
( converse(sk2) = converse(join(sk1,sk2))
| ~ spl0_1 ),
inference(superposition,[],[f9,f19]) ).
fof(f19,plain,
( converse(sk2) = join(converse(sk1),converse(sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_1
<=> converse(sk2) = join(converse(sk1),converse(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f48,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f46]) ).
fof(f46,plain,
( converse(sk2) != converse(sk2)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f40,f27]) ).
fof(f27,plain,
( sk2 = join(sk2,sk1)
| ~ spl0_2 ),
inference(superposition,[],[f1,f23]) ).
fof(f23,plain,
( sk2 = join(sk1,sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f40,plain,
( converse(sk2) != converse(join(sk2,sk1))
| spl0_1 ),
inference(superposition,[],[f31,f9]) ).
fof(f31,plain,
( converse(sk2) != join(converse(sk2),converse(sk1))
| spl0_1 ),
inference(superposition,[],[f20,f1]) ).
fof(f20,plain,
( converse(sk2) != join(converse(sk1),converse(sk2))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f22,f18]) ).
fof(f14,axiom,
( sk2 = join(sk1,sk2)
| converse(sk2) = join(converse(sk1),converse(sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f25,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f22,f18]) ).
fof(f15,axiom,
( sk2 != join(sk1,sk2)
| converse(sk2) != join(converse(sk1),converse(sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 11:18:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (14470)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.46 TRYING [1]
% 0.19/0.46 TRYING [2]
% 0.19/0.46 TRYING [3]
% 0.19/0.47 % (14496)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.47 % (14476)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.48 % (14488)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (14488)First to succeed.
% 0.19/0.49 % (14481)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (14476)Also succeeded, but the first one will report.
% 0.19/0.49 % (14491)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (14488)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (14488)------------------------------
% 0.19/0.49 % (14488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (14488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (14488)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (14488)Memory used [KB]: 5373
% 0.19/0.49 % (14488)Time elapsed: 0.105 s
% 0.19/0.49 % (14488)Instructions burned: 2 (million)
% 0.19/0.49 % (14488)------------------------------
% 0.19/0.49 % (14488)------------------------------
% 0.19/0.49 % (14466)Success in time 0.149 s
% 0.19/0.50 % (14485)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (14494)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (14482)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
%------------------------------------------------------------------------------