TSTP Solution File: GRP491-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP491-1 : 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 : n015.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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(trivial_inequality_removal,[],[f142]) ).
fof(f142,plain,
a2 != a2,
inference(superposition,[],[f88,f136]) ).
fof(f136,plain,
! [X3] : double_divide(identity,double_divide(identity,X3)) = X3,
inference(forward_demodulation,[],[f135,f45]) ).
fof(f45,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f44,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(f44,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(forward_demodulation,[],[f43,f42]) ).
fof(f42,plain,
! [X4] : double_divide(identity,X4) = double_divide(X4,identity),
inference(forward_demodulation,[],[f41,f8]) ).
fof(f8,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f41,plain,
! [X4] : double_divide(identity,X4) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),identity),identity),double_divide(double_divide(X4,identity),identity)))),
inference(forward_demodulation,[],[f29,f13]) ).
fof(f13,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f1,f6]) ).
fof(f29,plain,
! [X4] : double_divide(identity,X4) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),double_divide(double_divide(X4,identity),identity)))),
inference(superposition,[],[f8,f13]) ).
fof(f43,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,identity),identity)),
inference(forward_demodulation,[],[f32,f42]) ).
fof(f32,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(superposition,[],[f8,f6]) ).
fof(f135,plain,
! [X3] : double_divide(double_divide(identity,identity),double_divide(identity,X3)) = X3,
inference(forward_demodulation,[],[f134,f22]) ).
fof(f22,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f18,f6]) ).
fof(f18,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(superposition,[],[f1,f17]) ).
fof(f17,plain,
identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f14,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(superposition,[],[f13,f6]) ).
fof(f134,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,identity),double_divide(identity,X3)),identity)))) = X3,
inference(forward_demodulation,[],[f119,f61]) ).
fof(f61,plain,
! [X2] : double_divide(identity,double_divide(identity,X2)) = double_divide(identity,double_divide(X2,identity)),
inference(forward_demodulation,[],[f60,f42]) ).
fof(f60,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = double_divide(identity,double_divide(X2,identity)),
inference(forward_demodulation,[],[f52,f42]) ).
fof(f52,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = double_divide(double_divide(X2,identity),identity),
inference(superposition,[],[f13,f45]) ).
fof(f119,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,X3)),identity),identity))) = X3,
inference(superposition,[],[f8,f74]) ).
fof(f74,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f6,f42]) ).
fof(f88,plain,
a2 != double_divide(identity,double_divide(identity,a2)),
inference(forward_demodulation,[],[f79,f61]) ).
fof(f79,plain,
a2 != double_divide(identity,double_divide(a2,identity)),
inference(superposition,[],[f7,f42]) ).
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
% 0.12/0.12 % Problem : GRP491-1 : 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 : n015.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 22:43:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (27502)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (27517)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)
% 0.20/0.53 % (27509)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)
% 0.20/0.53 % (27500)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)
% 0.20/0.54 % (27518)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)
% 0.20/0.54 % (27498)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)
% 0.20/0.54 % (27510)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)
% 0.20/0.54 % (27501)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)
% 0.20/0.55 % (27524)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)
% 0.20/0.55 % (27499)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)
% 0.20/0.55 % (27501)Instruction limit reached!
% 0.20/0.55 % (27501)------------------------------
% 0.20/0.55 % (27501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (27501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (27501)Termination reason: Unknown
% 0.20/0.55 % (27501)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (27501)Memory used [KB]: 5500
% 0.20/0.55 % (27501)Time elapsed: 0.135 s
% 0.20/0.55 % (27501)Instructions burned: 8 (million)
% 0.20/0.55 % (27501)------------------------------
% 0.20/0.55 % (27501)------------------------------
% 0.20/0.55 % (27522)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.56 % (27519)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 % (27504)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)
% 0.20/0.56 % (27513)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (27515)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.56 % (27500)Instruction limit reached!
% 0.20/0.56 % (27500)------------------------------
% 0.20/0.56 % (27500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (27508)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)
% 0.20/0.56 % (27522)First to succeed.
% 0.20/0.56 % (27497)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)
% 0.20/0.56 % (27496)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)
% 0.20/0.57 % (27523)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)
% 0.20/0.57 % (27520)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)
% 0.20/0.57 % (27503)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)
% 0.20/0.57 % (27505)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)
% 0.20/0.57 % (27522)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 % (27522)------------------------------
% 0.20/0.57 % (27522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (27522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (27522)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (27522)Memory used [KB]: 5500
% 0.20/0.57 % (27522)Time elapsed: 0.161 s
% 0.20/0.57 % (27522)Instructions burned: 7 (million)
% 0.20/0.57 % (27522)------------------------------
% 0.20/0.57 % (27522)------------------------------
% 0.20/0.57 % (27494)Success in time 0.211 s
%------------------------------------------------------------------------------