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 : n017.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 : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(trivial_inequality_removal,[],[f63]) ).
fof(f63,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(forward_demodulation,[],[f62,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f62,plain,
composition(sk1,join(sk2,sk3)) != composition(converse(converse(sk1)),join(sk2,sk3)),
inference(forward_demodulation,[],[f61,f8]) ).
fof(f61,plain,
composition(sk1,join(sk2,sk3)) != composition(converse(converse(sk1)),join(sk2,converse(converse(sk3)))),
inference(forward_demodulation,[],[f60,f8]) ).
fof(f60,plain,
composition(sk1,join(sk2,sk3)) != composition(converse(converse(sk1)),converse(converse(join(sk2,converse(converse(sk3)))))),
inference(forward_demodulation,[],[f59,f30]) ).
fof(f30,plain,
! [X0,X1] : join(converse(X1),X0) = converse(join(X1,converse(X0))),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f59,plain,
composition(sk1,join(sk2,sk3)) != composition(converse(converse(sk1)),converse(join(converse(sk2),converse(sk3)))),
inference(forward_demodulation,[],[f58,f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f58,plain,
composition(sk1,join(sk2,sk3)) != converse(composition(join(converse(sk2),converse(sk3)),converse(sk1))),
inference(forward_demodulation,[],[f57,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f57,plain,
composition(sk1,join(sk2,sk3)) != converse(join(composition(converse(sk2),converse(sk1)),composition(converse(sk3),converse(sk1)))),
inference(forward_demodulation,[],[f56,f37]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[],[f36,f8]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,converse(converse(X0)))),
inference(forward_demodulation,[],[f33,f30]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f1,f9]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f56,plain,
composition(sk1,join(sk2,sk3)) != converse(join(composition(converse(sk3),converse(sk1)),composition(converse(sk2),converse(sk1)))),
inference(forward_demodulation,[],[f55,f10]) ).
fof(f55,plain,
composition(sk1,join(sk2,sk3)) != converse(join(composition(converse(sk3),converse(sk1)),converse(composition(sk1,sk2)))),
inference(forward_demodulation,[],[f54,f30]) ).
fof(f54,plain,
composition(sk1,join(sk2,sk3)) != join(converse(composition(converse(sk3),converse(sk1))),composition(sk1,sk2)),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),converse(composition(converse(sk3),converse(sk1)))),
inference(backward_demodulation,[],[f17,f51]) ).
fof(f51,plain,
! [X0,X1] : composition(X0,X1) = converse(composition(converse(X1),converse(X0))),
inference(superposition,[],[f8,f10]) ).
fof(f17,axiom,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : REL008-3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 10:32:20 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.47 % (3363)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.48 % (3366)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.17/0.48 % (3372)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.48 % (3375)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.17/0.49 % (3362)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.17/0.49 % (3361)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.17/0.49 % (3387)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.17/0.49 % (3378)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.17/0.49 % (3393)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.50 % (3362)Instruction limit reached!
% 0.17/0.50 % (3362)------------------------------
% 0.17/0.50 % (3362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (3385)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.17/0.50 % (3368)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.17/0.50 % (3376)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.17/0.50 % (3379)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51 % (3369)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.51 % (3389)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.51 % (3362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (3362)Termination reason: Unknown
% 0.17/0.51 % (3362)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (3362)Memory used [KB]: 5628
% 0.17/0.51 % (3362)Time elapsed: 0.112 s
% 0.17/0.51 % (3362)Instructions burned: 11 (million)
% 0.17/0.51 % (3362)------------------------------
% 0.17/0.51 % (3362)------------------------------
% 0.17/0.51 % (3383)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (3364)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.51 % (3381)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.17/0.51 % (3388)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.17/0.51 % (3364)First to succeed.
% 0.17/0.51 % (3390)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.17/0.51 % (3367)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (3364)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (3364)------------------------------
% 0.17/0.52 % (3364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (3364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (3364)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (3364)Memory used [KB]: 5500
% 0.17/0.52 % (3364)Time elapsed: 0.128 s
% 0.17/0.52 % (3364)Instructions burned: 4 (million)
% 0.17/0.52 % (3364)------------------------------
% 0.17/0.52 % (3364)------------------------------
% 0.17/0.52 % (3357)Success in time 0.178 s
%------------------------------------------------------------------------------