TSTP Solution File: REL009+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL009+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 May 21 02:35:20 EDT 2024
% Result : Theorem 107.31s 15.67s
% Output : Refutation 107.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 28 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 7 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f471155,plain,
$false,
inference(trivial_inequality_removal,[],[f471154]) ).
fof(f471154,plain,
composition(sK1,sK2) != composition(sK1,sK2),
inference(forward_demodulation,[],[f471150,f35]) ).
fof(f35,plain,
sK1 = join(sK1,sK0),
inference(superposition,[],[f25,f19]) ).
fof(f19,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( composition(sK2,sK1) != join(composition(sK2,sK0),composition(sK2,sK1))
| composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)) )
& sK1 = join(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( ( composition(X2,X1) != join(composition(X2,X0),composition(X2,X1))
| composition(X1,X2) != join(composition(X0,X2),composition(X1,X2)) )
& join(X0,X1) = X1 )
=> ( ( composition(sK2,sK1) != join(composition(sK2,sK0),composition(sK2,sK1))
| composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)) )
& sK1 = join(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( composition(X2,X1) != join(composition(X2,X0),composition(X2,X1))
| composition(X1,X2) != join(composition(X0,X2),composition(X1,X2)) )
& join(X0,X1) = X1 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,X1) = X1
=> ( composition(X2,X1) = join(composition(X2,X0),composition(X2,X1))
& composition(X1,X2) = join(composition(X0,X2),composition(X1,X2)) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(X0,X1) = X1
=> ( composition(X2,X1) = join(composition(X2,X0),composition(X2,X1))
& composition(X1,X2) = join(composition(X0,X2),composition(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f25,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(f471150,plain,
composition(sK1,sK2) != composition(join(sK1,sK0),sK2),
inference(superposition,[],[f470956,f1409]) ).
fof(f1409,plain,
! [X2,X0,X1] : composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[],[f33,f25]) ).
fof(f33,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(f470956,plain,
composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)),
inference(trivial_inequality_removal,[],[f470955]) ).
fof(f470955,plain,
( composition(sK2,sK1) != composition(sK2,sK1)
| composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)) ),
inference(forward_demodulation,[],[f470953,f19]) ).
fof(f470953,plain,
( composition(sK2,sK1) != composition(sK2,join(sK0,sK1))
| composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)) ),
inference(backward_demodulation,[],[f20,f470952]) ).
fof(f470952,plain,
! [X2,X0,X1] : join(composition(X1,X0),composition(X1,X2)) = composition(X1,join(X0,X2)),
inference(forward_demodulation,[],[f470951,f21]) ).
fof(f21,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(f470951,plain,
! [X2,X0,X1] : composition(X1,join(X0,X2)) = join(composition(converse(converse(X1)),X0),composition(X1,X2)),
inference(forward_demodulation,[],[f470950,f21]) ).
fof(f470950,plain,
! [X2,X0,X1] : composition(X1,join(X0,X2)) = join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))),
inference(forward_demodulation,[],[f470949,f21]) ).
fof(f470949,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = composition(X1,join(X0,converse(converse(X2)))),
inference(forward_demodulation,[],[f470948,f41]) ).
fof(f41,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f27,f21]) ).
fof(f27,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(f470948,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = composition(X1,converse(join(converse(X0),converse(X2)))),
inference(forward_demodulation,[],[f470634,f39]) ).
fof(f39,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f26,f21]) ).
fof(f26,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(f470634,plain,
! [X2,X0,X1] : join(composition(converse(converse(X1)),X0),converse(converse(composition(X1,X2)))) = converse(composition(join(converse(X0),converse(X2)),converse(X1))),
inference(superposition,[],[f2704,f1407]) ).
fof(f1407,plain,
! [X2,X0,X1] : composition(join(X2,converse(X0)),converse(X1)) = join(composition(X2,converse(X1)),converse(composition(X1,X0))),
inference(superposition,[],[f33,f26]) ).
fof(f2704,plain,
! [X2,X0,X1] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
inference(superposition,[],[f27,f40]) ).
fof(f40,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f21]) ).
fof(f20,plain,
( composition(sK2,sK1) != join(composition(sK2,sK0),composition(sK2,sK1))
| composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2)) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : REL009+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n026.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 08:14:08 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.30 % (25038)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (25040)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (25045)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)
% 0.14/0.31 % (25044)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)
% 0.14/0.32 % (25041)WARNING: value z3 for option sas not known
% 0.14/0.32 % (25041)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)
% 0.14/0.32 % (25042)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (25043)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 % (25039)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.33 TRYING [3]
% 0.14/0.33 TRYING [1]
% 0.14/0.33 TRYING [2]
% 0.14/0.34 TRYING [4]
% 0.14/0.34 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.14/0.47 TRYING [6]
% 4.06/0.90 TRYING [7]
% 7.54/1.40 TRYING [1]
% 7.54/1.40 TRYING [2]
% 7.54/1.41 TRYING [3]
% 7.54/1.42 TRYING [4]
% 8.06/1.50 TRYING [5]
% 9.66/1.72 TRYING [6]
% 10.57/1.82 TRYING [5]
% 14.84/2.43 TRYING [7]
% 18.91/3.03 TRYING [8]
% 30.36/4.67 TRYING [8]
% 70.14/10.40 TRYING [9]
% 95.09/13.96 TRYING [9]
% 106.74/15.62 % (25044)First to succeed.
% 107.31/15.64 % (25044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25038"
% 107.31/15.67 % (25044)Refutation found. Thanks to Tanya!
% 107.31/15.67 % SZS status Theorem for theBenchmark
% 107.31/15.67 % SZS output start Proof for theBenchmark
% See solution above
% 107.31/15.67 % (25044)------------------------------
% 107.31/15.67 % (25044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 107.31/15.67 % (25044)Termination reason: Refutation
% 107.31/15.67
% 107.31/15.67 % (25044)Memory used [KB]: 177892
% 107.31/15.67 % (25044)Time elapsed: 15.322 s
% 107.31/15.67 % (25044)Instructions burned: 33309 (million)
% 107.31/15.67 % (25038)Success in time 15.287 s
%------------------------------------------------------------------------------