TSTP Solution File: REL046+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : REL046+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 18:14:11 EDT 2022
% Result : Theorem 0.21s 0.62s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 20 unt; 0 def)
% Number of atoms : 60 ( 47 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 43 ( 18 ~; 11 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f87,f463]) ).
fof(f463,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f462,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f433,f54]) ).
fof(f54,plain,
( sK2 != join(sK0,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_2
<=> sK2 = join(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f433,plain,
sK2 = join(sK0,sK2),
inference(superposition,[],[f56,f77]) ).
fof(f77,plain,
! [X4,X5] : join(complement(join(X5,complement(X4))),complement(join(complement(X4),complement(X5)))) = X4,
inference(superposition,[],[f44,f31]) ).
fof(f31,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f44,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f40,f31]) ).
fof(f40,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f56,plain,
! [X0] : join(complement(join(complement(sK1),complement(sK2))),X0) = join(sK0,join(complement(join(complement(sK1),complement(sK2))),X0)),
inference(superposition,[],[f39,f43]) ).
fof(f43,plain,
join(sK0,complement(join(complement(sK1),complement(sK2)))) = complement(join(complement(sK1),complement(sK2))),
inference(definition_unfolding,[],[f35,f28,f28]) ).
fof(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f35,plain,
meet(sK1,sK2) = join(sK0,meet(sK1,sK2)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( meet(sK1,sK2) = join(sK0,meet(sK1,sK2))
& ( sK2 != join(sK0,sK2)
| join(sK0,sK1) != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2] :
( meet(X1,X2) = join(X0,meet(X1,X2))
& ( join(X0,X2) != X2
| join(X0,X1) != X1 ) )
=> ( meet(sK1,sK2) = join(sK0,meet(sK1,sK2))
& ( sK2 != join(sK0,sK2)
| join(sK0,sK1) != sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] :
( meet(X1,X2) = join(X0,meet(X1,X2))
& ( join(X0,X2) != X2
| join(X0,X1) != X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X2,X1,X0] :
( meet(X1,X0) = join(X2,meet(X1,X0))
& ( join(X2,X0) != X0
| join(X2,X1) != X1 ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X2,X1,X0] :
( meet(X1,X0) = join(X2,meet(X1,X0))
=> ( join(X2,X1) = X1
& join(X2,X0) = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X2,X1,X0] :
( meet(X1,X2) = join(X0,meet(X1,X2))
=> ( join(X0,X1) = X1
& join(X0,X2) = X2 ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X2,X1,X0] :
( meet(X1,X2) = join(X0,meet(X1,X2))
=> ( join(X0,X1) = X1
& join(X0,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f39,plain,
! [X2,X0,X1] : join(X0,join(X2,X1)) = join(join(X0,X2),X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] : join(X0,join(X2,X1)) = join(join(X0,X2),X1),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] : join(join(X2,X1),X0) = join(X2,join(X1,X0)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f87,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f84,f50]) ).
fof(f50,plain,
( join(sK0,sK1) != sK1
| spl3_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl3_1
<=> join(sK0,sK1) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f84,plain,
join(sK0,sK1) = sK1,
inference(superposition,[],[f56,f44]) ).
fof(f55,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f34,f52,f48]) ).
fof(f34,plain,
( sK2 != join(sK0,sK2)
| join(sK0,sK1) != sK1 ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 11:38:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (14380)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (14395)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)
% 0.21/0.56 % (14396)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 % (14387)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56 % (14388)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.56 % (14379)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 TRYING [2]
% 0.21/0.57 % (14380)Instruction limit reached!
% 0.21/0.57 % (14380)------------------------------
% 0.21/0.57 % (14380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 TRYING [3]
% 0.21/0.58 % (14380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (14380)Termination reason: Unknown
% 0.21/0.58 % (14380)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (14380)Memory used [KB]: 5500
% 0.21/0.58 % (14380)Time elapsed: 0.137 s
% 0.21/0.58 % (14380)Instructions burned: 8 (million)
% 0.21/0.58 % (14380)------------------------------
% 0.21/0.58 % (14380)------------------------------
% 0.21/0.60 % (14375)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.60 % (14377)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61 % (14396)First to succeed.
% 0.21/0.61 % (14373)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)
% 0.21/0.62 TRYING [1]
% 0.21/0.62 % (14391)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.62 TRYING [2]
% 0.21/0.62 % (14393)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.62 % (14396)Refutation found. Thanks to Tanya!
% 0.21/0.62 % SZS status Theorem for theBenchmark
% 0.21/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.62 % (14396)------------------------------
% 0.21/0.62 % (14396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (14396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (14396)Termination reason: Refutation
% 0.21/0.62
% 0.21/0.62 % (14396)Memory used [KB]: 6140
% 0.21/0.62 % (14396)Time elapsed: 0.190 s
% 0.21/0.62 % (14396)Instructions burned: 35 (million)
% 0.21/0.62 % (14396)------------------------------
% 0.21/0.62 % (14396)------------------------------
% 0.21/0.62 % (14372)Success in time 0.261 s
%------------------------------------------------------------------------------