TSTP Solution File: GRP570-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP570-1 : 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 : n012.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 16:16:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(trivial_inequality_removal,[],[f34]) ).
fof(f34,plain,
a2 != a2,
inference(superposition,[],[f7,f29]) ).
fof(f29,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f12,f23]) ).
fof(f23,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f15,f10]) ).
fof(f10,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f6,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(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f15,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(superposition,[],[f10,f6]) ).
fof(f7,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
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,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % 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 : n012.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 22:31:36 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.54 % (16033)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)
% 0.20/0.54 % (16035)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)
% 0.20/0.55 % (16041)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)
% 0.20/0.55 % (16033)Instruction limit reached!
% 0.20/0.55 % (16033)------------------------------
% 0.20/0.55 % (16033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16034)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.56 % (16050)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)
% 0.20/0.56 % (16049)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)
% 0.20/0.56 % (16051)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)
% 0.20/0.56 % (16042)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)
% 0.20/0.56 % (16043)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)
% 0.20/0.56 % (16050)First to succeed.
% 0.20/0.57 % (16033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16033)Termination reason: Unknown
% 0.20/0.57 % (16033)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (16033)Memory used [KB]: 5500
% 0.20/0.57 % (16033)Time elapsed: 0.131 s
% 0.20/0.57 % (16033)Instructions burned: 8 (million)
% 0.20/0.57 % (16033)------------------------------
% 0.20/0.57 % (16033)------------------------------
% 0.20/0.57 % (16050)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (16050)------------------------------
% 0.20/0.57 % (16050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (16050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16050)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (16050)Memory used [KB]: 5500
% 0.20/0.57 % (16050)Time elapsed: 0.128 s
% 0.20/0.57 % (16050)Instructions burned: 2 (million)
% 0.20/0.57 % (16050)------------------------------
% 0.20/0.57 % (16050)------------------------------
% 0.20/0.57 % (16026)Success in time 0.215 s
%------------------------------------------------------------------------------