TSTP Solution File: REL008-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 13:44:44 EDT 2023
% Result : Unsatisfiable 72.14s 10.69s
% Output : Refutation 72.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 27 (; 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312126,plain,
$false,
inference(subsumption_resolution,[],[f312125,f27]) ).
fof(f27,plain,
sF1 != sF4,
inference(definition_folding,[],[f17,f26,f25,f24,f23,f22]) ).
fof(f22,plain,
join(sk2,sk3) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
composition(sk1,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f24,plain,
composition(sk1,sk2) = sF2,
introduced(function_definition,[]) ).
fof(f25,plain,
composition(sk1,sk3) = sF3,
introduced(function_definition,[]) ).
fof(f26,plain,
join(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f17,axiom,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673',goals_17) ).
fof(f312125,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f312124,f23]) ).
fof(f312124,plain,
composition(sk1,sF0) = sF4,
inference(forward_demodulation,[],[f312123,f26]) ).
fof(f312123,plain,
composition(sk1,sF0) = join(sF2,sF3),
inference(forward_demodulation,[],[f312008,f25]) ).
fof(f312008,plain,
composition(sk1,sF0) = join(sF2,composition(sk1,sk3)),
inference(superposition,[],[f311393,f22]) ).
fof(f311393,plain,
! [X22] : join(sF2,composition(sk1,X22)) = composition(sk1,join(sk2,X22)),
inference(forward_demodulation,[],[f311392,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673',converse_idempotence_8) ).
fof(f311392,plain,
! [X22] : join(sF2,composition(sk1,X22)) = composition(converse(converse(sk1)),join(sk2,X22)),
inference(forward_demodulation,[],[f311391,f8]) ).
fof(f311391,plain,
! [X22] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X22)) = join(sF2,composition(sk1,X22)),
inference(forward_demodulation,[],[f311390,f8]) ).
fof(f311390,plain,
! [X22] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X22)) = join(sF2,composition(sk1,converse(converse(X22)))),
inference(forward_demodulation,[],[f311389,f68]) ).
fof(f68,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673',converse_multiplicativity_10) ).
fof(f311389,plain,
! [X22] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X22)) = join(sF2,converse(composition(converse(X22),converse(sk1)))),
inference(forward_demodulation,[],[f311125,f34]) ).
fof(f34,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673',converse_additivity_9) ).
fof(f311125,plain,
! [X22] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X22)) = converse(join(converse(sF2),composition(converse(X22),converse(sk1)))),
inference(superposition,[],[f327,f10581]) ).
fof(f10581,plain,
! [X54] : composition(join(converse(sk2),X54),converse(sk1)) = join(converse(sF2),composition(X54,converse(sk1))),
inference(superposition,[],[f190,f24]) ).
fof(f190,plain,
! [X10,X11,X9] : composition(join(converse(X9),X11),converse(X10)) = join(converse(composition(X10,X9)),composition(X11,converse(X10))),
inference(superposition,[],[f7,f10]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673',composition_distributivity_7) ).
fof(f327,plain,
! [X16,X14,X15] : converse(composition(join(X14,converse(X15)),X16)) = composition(converse(X16),join(converse(X14),X15)),
inference(superposition,[],[f10,f35]) ).
fof(f35,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 20:09:42 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9zmU8mQxge/Vampire---4.8_25673
% 0.14/0.35 % (25879)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (25887)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.14/0.40 % (25881)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.14/0.40 % (25885)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.14/0.40 % (25884)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.14/0.40 % (25886)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.14/0.40 % (25883)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.14/0.40 % (25882)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 72.14/10.67 % (25881)First to succeed.
% 72.14/10.69 % (25881)Refutation found. Thanks to Tanya!
% 72.14/10.69 % SZS status Unsatisfiable for Vampire---4
% 72.14/10.69 % SZS output start Proof for Vampire---4
% See solution above
% 72.14/10.69 % (25881)------------------------------
% 72.14/10.69 % (25881)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 72.14/10.69 % (25881)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 72.14/10.69 % (25881)Termination reason: Refutation
% 72.14/10.69
% 72.14/10.69 % (25881)Memory used [KB]: 335303
% 72.14/10.69 % (25881)Time elapsed: 10.266 s
% 72.14/10.69 % (25881)------------------------------
% 72.14/10.69 % (25881)------------------------------
% 72.14/10.69 % (25879)Success in time 10.211 s
% 72.14/10.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------