TSTP Solution File: GRP488-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP488-1 : 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 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f120,f54]) ).
fof(f54,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f37,f47]) ).
fof(f47,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f7,f37]) ).
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/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f37,plain,
! [X1] : double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f26,f36]) ).
fof(f36,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity) = double_divide(X1,identity),
inference(forward_demodulation,[],[f32,f22]) ).
fof(f22,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f21,f8]) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f21,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,f12]) ).
fof(f12,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f10,f7]) ).
fof(f10,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f32,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X0,X1))),X0),identity) = double_divide(X1,identity),
inference(superposition,[],[f17,f1]) ).
fof(f17,plain,
! [X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity) = double_divide(X1,identity),
inference(forward_demodulation,[],[f16,f8]) ).
fof(f16,plain,
! [X2,X1] : double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f10]) ).
fof(f26,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(superposition,[],[f1,f22]) ).
fof(f120,plain,
a2 != double_divide(identity,double_divide(a2,identity)),
inference(backward_demodulation,[],[f6,f112]) ).
fof(f112,plain,
! [X4] : double_divide(X4,identity) = double_divide(identity,X4),
inference(forward_demodulation,[],[f97,f85]) ).
fof(f85,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(forward_demodulation,[],[f84,f57]) ).
fof(f57,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(backward_demodulation,[],[f8,f54]) ).
fof(f84,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(X1,identity),double_divide(identity,X0)),identity)) = X0,
inference(forward_demodulation,[],[f77,f54]) ).
fof(f77,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),double_divide(identity,X0)),identity)) = X0,
inference(superposition,[],[f1,f58]) ).
fof(f58,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(backward_demodulation,[],[f46,f54]) ).
fof(f46,plain,
! [X0] : identity = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X0),identity)),
inference(superposition,[],[f1,f37]) ).
fof(f97,plain,
! [X4] : double_divide(X4,identity) = double_divide(double_divide(identity,double_divide(identity,X4)),identity),
inference(superposition,[],[f55,f54]) ).
fof(f55,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,X2))),X1) = X2,
inference(backward_demodulation,[],[f50,f47]) ).
fof(f50,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,X2))),X1) = X2,
inference(forward_demodulation,[],[f48,f22]) ).
fof(f48,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X1,X2))),X1) = X2,
inference(superposition,[],[f1,f37]) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:35:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.57 % (20115)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)
% 0.21/0.57 % (20107)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)
% 0.21/0.57 % (20114)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.21/0.57 % (20099)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)
% 0.21/0.57 % (20091)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)
% 0.21/0.58 % (20088)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)
% 0.21/0.58 % (20106)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.21/0.58 % (20087)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)
% 0.21/0.59 % (20086)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.59 % (20092)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)
% 0.21/0.59 % (20096)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)
% 0.21/0.59 % (20106)First to succeed.
% 0.21/0.60 % (20090)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)
% 0.21/0.60 % (20109)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)
% 0.21/0.60 % (20106)Refutation found. Thanks to Tanya!
% 0.21/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60 % (20106)------------------------------
% 0.21/0.60 % (20106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (20106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (20106)Termination reason: Refutation
% 0.21/0.60
% 0.21/0.60 % (20106)Memory used [KB]: 5500
% 0.21/0.60 % (20106)Time elapsed: 0.161 s
% 0.21/0.60 % (20106)Instructions burned: 7 (million)
% 0.21/0.60 % (20106)------------------------------
% 0.21/0.60 % (20106)------------------------------
% 0.21/0.60 % (20085)Success in time 0.252 s
%------------------------------------------------------------------------------