TSTP Solution File: GRP487-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP487-1 : 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 : n008.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 16:16:00 EDT 2022
% Result : Unsatisfiable 1.31s 0.55s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 7 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(subsumption_resolution,[],[f8,f35]) ).
fof(f35,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f29,f34]) ).
fof(f34,plain,
! [X2] : double_divide(X2,identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),X2),identity)),
inference(forward_demodulation,[],[f32,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
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(f32,plain,
! [X2] : double_divide(X2,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(double_divide(double_divide(identity,identity),X2),identity)),
inference(backward_demodulation,[],[f22,f31]) ).
fof(f31,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,identity),
inference(forward_demodulation,[],[f30,f9]) ).
fof(f9,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f30,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)),identity)),
inference(superposition,[],[f1,f13]) ).
fof(f13,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f11,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f22,plain,
! [X2] : double_divide(X2,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),identity)),double_divide(double_divide(double_divide(identity,identity),X2),identity)),
inference(superposition,[],[f9,f9]) ).
fof(f29,plain,
identity = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),identity)),
inference(superposition,[],[f1,f13]) ).
fof(f8,plain,
identity != double_divide(identity,identity),
inference(backward_demodulation,[],[f6,f7]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:35:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (20133)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)
% 0.19/0.52 % (20140)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)
% 0.19/0.53 % (20141)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)
% 0.19/0.53 % (20125)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (20124)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)
% 0.19/0.54 % (20132)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)
% 0.19/0.54 % (20124)First to succeed.
% 1.31/0.55 % (20147)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)
% 1.31/0.55 % (20118)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.31/0.55 % (20124)Refutation found. Thanks to Tanya!
% 1.31/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.55 % (20124)------------------------------
% 1.31/0.55 % (20124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55 % (20124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55 % (20124)Termination reason: Refutation
% 1.31/0.55
% 1.31/0.55 % (20124)Memory used [KB]: 5500
% 1.31/0.55 % (20124)Time elapsed: 0.122 s
% 1.31/0.55 % (20124)Instructions burned: 5 (million)
% 1.31/0.55 % (20124)------------------------------
% 1.31/0.55 % (20124)------------------------------
% 1.31/0.55 % (20117)Success in time 0.201 s
%------------------------------------------------------------------------------