TSTP Solution File: REL008+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : REL008+3 : 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_uns --cores 0 -t %d %s
% Computer : n001.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 18:12:31 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 32 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 18 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(trivial_inequality_removal,[],[f87]) ).
fof(f87,plain,
composition(sK0,join(sK1,sK2)) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f86,f45]) ).
fof(f45,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f86,plain,
composition(converse(converse(sK0)),join(sK1,sK2)) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f85,f45]) ).
fof(f85,plain,
composition(converse(converse(sK0)),converse(converse(join(sK1,sK2)))) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f84,f43]) ).
fof(f43,plain,
! [X0,X1] : join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f84,plain,
composition(sK0,join(sK1,sK2)) != composition(converse(converse(sK0)),converse(join(converse(sK1),converse(sK2)))),
inference(forward_demodulation,[],[f83,f42]) ).
fof(f42,plain,
! [X0,X1] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f83,plain,
converse(composition(join(converse(sK1),converse(sK2)),converse(sK0))) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f82,f41]) ).
fof(f41,plain,
! [X2,X0,X1] : composition(join(X1,X2),X0) = join(composition(X1,X0),composition(X2,X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] : composition(join(X1,X2),X0) = join(composition(X1,X0),composition(X2,X0)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f82,plain,
converse(join(composition(converse(sK1),converse(sK0)),composition(converse(sK2),converse(sK0)))) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f81,f43]) ).
fof(f81,plain,
join(converse(composition(converse(sK1),converse(sK0))),converse(composition(converse(sK2),converse(sK0)))) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f80,f53]) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f80,plain,
composition(sK0,join(sK1,sK2)) != join(converse(composition(converse(sK2),converse(sK0))),converse(composition(converse(sK1),converse(sK0)))),
inference(forward_demodulation,[],[f79,f72]) ).
fof(f72,plain,
! [X0,X1] : composition(X0,X1) = converse(composition(converse(X1),converse(X0))),
inference(superposition,[],[f45,f42]) ).
fof(f79,plain,
join(converse(composition(converse(sK2),converse(sK0))),composition(sK0,sK1)) != composition(sK0,join(sK1,sK2)),
inference(forward_demodulation,[],[f78,f53]) ).
fof(f78,plain,
composition(sK0,join(sK1,sK2)) != join(composition(sK0,sK1),converse(composition(converse(sK2),converse(sK0)))),
inference(backward_demodulation,[],[f40,f72]) ).
fof(f40,plain,
join(composition(sK0,sK1),composition(sK0,sK2)) != composition(sK0,join(sK1,sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
join(composition(sK0,sK1),composition(sK0,sK2)) != composition(sK0,join(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] : composition(X0,join(X1,X2)) != join(composition(X0,X1),composition(X0,X2))
=> join(composition(sK0,sK1),composition(sK0,sK2)) != composition(sK0,join(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] : composition(X0,join(X1,X2)) != join(composition(X0,X1),composition(X0,X2)),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X1,X2,X0] : composition(X1,join(X2,X0)) != join(composition(X1,X2),composition(X1,X0)),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0,X1,X2] : composition(X1,join(X2,X0)) = join(composition(X1,X2),composition(X1,X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL008+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 11:30:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (30383)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.49 % (30395)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (30403)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (30383)Refutation not found, incomplete strategy% (30383)------------------------------
% 0.18/0.49 % (30383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (30383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (30383)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (30383)Memory used [KB]: 5884
% 0.18/0.49 % (30383)Time elapsed: 0.100 s
% 0.18/0.49 % (30383)Instructions burned: 3 (million)
% 0.18/0.49 % (30383)------------------------------
% 0.18/0.49 % (30383)------------------------------
% 0.18/0.50 % (30403)Refutation not found, incomplete strategy% (30403)------------------------------
% 0.18/0.50 % (30403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (30403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (30403)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (30403)Memory used [KB]: 6012
% 0.18/0.50 % (30403)Time elapsed: 0.106 s
% 0.18/0.50 % (30403)Instructions burned: 3 (million)
% 0.18/0.50 % (30403)------------------------------
% 0.18/0.50 % (30403)------------------------------
% 0.18/0.50 % (30386)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (30385)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (30387)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50 % (30404)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50 % (30390)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51 % (30397)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (30396)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (30397)First to succeed.
% 0.18/0.51 % (30390)Refutation not found, incomplete strategy% (30390)------------------------------
% 0.18/0.51 % (30390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30397)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (30397)------------------------------
% 0.18/0.51 % (30397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (30397)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (30397)Memory used [KB]: 6012
% 0.18/0.51 % (30397)Time elapsed: 0.112 s
% 0.18/0.51 % (30397)Instructions burned: 5 (million)
% 0.18/0.51 % (30397)------------------------------
% 0.18/0.51 % (30397)------------------------------
% 0.18/0.51 % (30381)Success in time 0.171 s
%------------------------------------------------------------------------------