TSTP Solution File: REL003+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 14:47:57 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 37 unt; 0 def)
% Number of atoms : 129 ( 83 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 99 ( 44 ~; 38 |; 10 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 78 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f66,f68,f71,f73,f78]) ).
fof(f78,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(trivial_inequality_removal,[],[f76]) ).
fof(f76,plain,
( converse(sK1) != converse(sK1)
| ~ spl2_1
| spl2_2 ),
inference(forward_demodulation,[],[f75,f39]) ).
fof(f39,plain,
( sK1 = join(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_1
<=> sK1 = join(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f75,plain,
( converse(sK1) != converse(join(sK0,sK1))
| spl2_2 ),
inference(superposition,[],[f42,f29]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f42,plain,
( converse(sK1) != join(converse(sK0),converse(sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_2
<=> converse(sK1) = join(converse(sK0),converse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f73,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| ~ spl2_1
| ~ spl2_2 ),
inference(global_subsumption,[],[f39,f22,f30,f31,f32,f33,f34,f35,f23,f24,f25,f26,f27,f19,f43,f28,f45,f46,f29,f47,f48,f50,f51,f52,f53,f54,f49,f60,f61,f62,f63,f64,f69]) ).
fof(f69,plain,
( sK1 != join(sK0,sK1)
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f22,f43]) ).
fof(f64,plain,
( sK1 = join(sK0,sK1)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f59,f23]) ).
fof(f59,plain,
( join(sK0,sK1) = converse(converse(sK1))
| ~ spl2_2 ),
inference(superposition,[],[f23,f49]) ).
fof(f63,plain,
( ! [X0] : converse(composition(X0,join(sK0,sK1))) = converse(composition(X0,sK1))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f58,f28]) ).
fof(f58,plain,
( ! [X0] : converse(composition(X0,join(sK0,sK1))) = composition(converse(sK1),converse(X0))
| ~ spl2_2 ),
inference(superposition,[],[f28,f49]) ).
fof(f62,plain,
( ! [X0] : converse(composition(join(sK0,sK1),X0)) = converse(composition(sK1,X0))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f57,f28]) ).
fof(f57,plain,
( ! [X0] : converse(composition(join(sK0,sK1),X0)) = composition(converse(X0),converse(sK1))
| ~ spl2_2 ),
inference(superposition,[],[f28,f49]) ).
fof(f61,plain,
( ! [X0] : converse(join(join(sK0,sK1),X0)) = converse(join(sK1,X0))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f56,f29]) ).
fof(f56,plain,
( ! [X0] : converse(join(join(sK0,sK1),X0)) = join(converse(sK1),converse(X0))
| ~ spl2_2 ),
inference(superposition,[],[f29,f49]) ).
fof(f60,plain,
( ! [X0] : converse(join(X0,join(sK0,sK1))) = converse(join(X0,sK1))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f55,f29]) ).
fof(f55,plain,
( ! [X0] : converse(join(X0,join(sK0,sK1))) = join(converse(X0),converse(sK1))
| ~ spl2_2 ),
inference(superposition,[],[f29,f49]) ).
fof(f49,plain,
( converse(sK1) = converse(join(sK0,sK1))
| ~ spl2_2 ),
inference(superposition,[],[f29,f43]) ).
fof(f54,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f27,f29]) ).
fof(f53,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f27,f29]) ).
fof(f52,plain,
( converse(sK1) = converse(join(sK0,sK1))
| ~ spl2_2 ),
inference(superposition,[],[f43,f29]) ).
fof(f51,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f29,f27]) ).
fof(f50,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f29,f27]) ).
fof(f48,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f23]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f23]) ).
fof(f46,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f23]) ).
fof(f45,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f28,f23]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f43,plain,
( converse(sK1) = join(converse(sK0),converse(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f19,plain,
( converse(sK1) = join(converse(sK0),converse(sK1))
| sK1 = join(sK0,sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( sK1 != join(sK0,sK1)
& converse(sK1) = join(converse(sK0),converse(sK1)) )
| ( converse(sK1) != join(converse(sK0),converse(sK1))
& sK1 = join(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( join(X0,X1) != X1
& converse(X1) = join(converse(X0),converse(X1)) )
| ( converse(X1) != join(converse(X0),converse(X1))
& join(X0,X1) = X1 ) )
=> ( ( sK1 != join(sK0,sK1)
& converse(sK1) = join(converse(sK0),converse(sK1)) )
| ( converse(sK1) != join(converse(sK0),converse(sK1))
& sK1 = join(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( ( join(X0,X1) != X1
& converse(X1) = join(converse(X0),converse(X1)) )
| ( converse(X1) != join(converse(X0),converse(X1))
& join(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( ( converse(X1) = join(converse(X0),converse(X1))
=> join(X0,X1) = X1 )
& ( join(X0,X1) = X1
=> converse(X1) = join(converse(X0),converse(X1)) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1] :
( ( converse(X1) = join(converse(X0),converse(X1))
=> join(X0,X1) = X1 )
& ( join(X0,X1) = X1
=> converse(X1) = join(converse(X0),converse(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f27,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(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f35,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f33,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f32,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(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f30,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(f22,plain,
( sK1 != join(sK0,sK1)
| converse(sK1) != join(converse(sK0),converse(sK1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f71,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl2_2 ),
inference(global_subsumption,[],[f22,f30,f31,f32,f33,f34,f35,f23,f24,f25,f26,f27,f19,f43,f28,f45,f46,f29,f47,f48,f50,f51,f52,f53,f54,f49,f60,f61,f62,f63,f64,f69]) ).
fof(f68,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| ~ spl2_2 ),
inference(global_subsumption,[],[f22,f30,f31,f32,f33,f34,f35,f23,f24,f25,f26,f27,f19,f43,f28,f45,f46,f29,f47,f48,f50,f51,f52,f53,f54,f49,f60,f61,f62,f63,f64]) ).
fof(f66,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f64,f38]) ).
fof(f38,plain,
( sK1 != join(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f44,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f19,f41,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:27:33 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (12195)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (12198)WARNING: value z3 for option sas not known
% 0.15/0.32 % (12199)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (12196)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (12198)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (12200)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32 % (12201)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32 % (12197)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (12202)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 % (12198)First to succeed.
% 0.15/0.32 % (12201)Also succeeded, but the first one will report.
% 0.15/0.33 % (12198)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (12198)------------------------------
% 0.15/0.33 % (12198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (12198)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (12198)Memory used [KB]: 786
% 0.15/0.33 % (12198)Time elapsed: 0.006 s
% 0.15/0.33 % (12198)Instructions burned: 7 (million)
% 0.15/0.33 % (12198)------------------------------
% 0.15/0.33 % (12198)------------------------------
% 0.15/0.33 % (12195)Success in time 0.02 s
%------------------------------------------------------------------------------