TSTP Solution File: GRP577-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n029.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 16:16:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(subsumption_resolution,[],[f57,f8]) ).
fof(f8,plain,
identity != double_divide(identity,identity),
inference(forward_demodulation,[],[f6,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f5,f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f57,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f45,f42]) ).
fof(f42,plain,
! [X10] : double_divide(X10,identity) = double_divide(double_divide(identity,double_divide(identity,X10)),double_divide(identity,identity)),
inference(superposition,[],[f12,f34]) ).
fof(f34,plain,
! [X2] : double_divide(double_divide(identity,double_divide(double_divide(identity,X2),identity)),identity) = X2,
inference(backward_demodulation,[],[f16,f24]) ).
fof(f24,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(double_divide(identity,X0),identity),
inference(superposition,[],[f12,f7]) ).
fof(f16,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),double_divide(identity,identity)) = X2,
inference(superposition,[],[f9,f7]) ).
fof(f9,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),identity) = double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f45,plain,
identity = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f41,f7]) ).
fof(f41,plain,
! [X9] : identity = double_divide(double_divide(identity,double_divide(double_divide(identity,X9),identity)),X9),
inference(superposition,[],[f7,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:43:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (15802)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.51 % (15783)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)
% 0.20/0.51 % (15798)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)
% 0.20/0.51 % (15788)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51 % (15780)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)
% 0.20/0.51 % (15791)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.52 % (15780)Instruction limit reached!
% 0.20/0.52 % (15780)------------------------------
% 0.20/0.52 % (15780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15780)Termination reason: Unknown
% 0.20/0.52 % (15780)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15780)Memory used [KB]: 5628
% 0.20/0.52 % (15780)Time elapsed: 0.107 s
% 0.20/0.52 % (15780)Instructions burned: 11 (million)
% 0.20/0.52 % (15780)------------------------------
% 0.20/0.52 % (15780)------------------------------
% 0.20/0.52 % (15783)First to succeed.
% 0.20/0.52 % (15803)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)
% 0.20/0.52 % (15783)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (15783)------------------------------
% 0.20/0.52 % (15783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15783)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (15783)Memory used [KB]: 5628
% 0.20/0.52 % (15783)Time elapsed: 0.111 s
% 0.20/0.52 % (15783)Instructions burned: 6 (million)
% 0.20/0.52 % (15783)------------------------------
% 0.20/0.52 % (15783)------------------------------
% 0.20/0.52 % (15775)Success in time 0.164 s
%------------------------------------------------------------------------------