TSTP Solution File: GRP485-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP485-1 : 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 16:15:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f475,plain,
$false,
inference(trivial_inequality_removal,[],[f448]) ).
fof(f448,plain,
a2 != a2,
inference(backward_demodulation,[],[f7,f368]) ).
fof(f368,plain,
! [X11] : double_divide(double_divide(X11,identity),identity) = X11,
inference(forward_demodulation,[],[f367,f134]) ).
fof(f134,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = X2,
inference(backward_demodulation,[],[f32,f128]) ).
fof(f128,plain,
! [X5] : double_divide(identity,double_divide(X5,identity)) = X5,
inference(forward_demodulation,[],[f119,f32]) ).
fof(f119,plain,
! [X5] : double_divide(identity,double_divide(X5,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X5),identity)),identity),
inference(superposition,[],[f32,f26]) ).
fof(f26,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),identity) = double_divide(double_divide(X3,double_divide(identity,double_divide(X4,identity))),identity),
inference(backward_demodulation,[],[f11,f21]) ).
fof(f21,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f20,f14]) ).
fof(f14,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f8,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/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f20,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f19,f6]) ).
fof(f19,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f14]) ).
fof(f11,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),identity) = double_divide(double_divide(X3,double_divide(identity,double_divide(X4,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f6]) ).
fof(f32,plain,
! [X2] : double_divide(double_divide(identity,double_divide(double_divide(identity,X2),identity)),identity) = X2,
inference(superposition,[],[f29,f21]) ).
fof(f29,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),identity) = X2,
inference(backward_demodulation,[],[f1,f21]) ).
fof(f367,plain,
! [X11] : double_divide(double_divide(double_divide(double_divide(identity,X11),identity),identity),identity) = X11,
inference(forward_demodulation,[],[f361,f128]) ).
fof(f361,plain,
! [X11] : double_divide(double_divide(double_divide(double_divide(identity,X11),identity),identity),identity) = double_divide(identity,double_divide(X11,identity)),
inference(superposition,[],[f146,f144]) ).
fof(f144,plain,
! [X5] : identity = double_divide(X5,double_divide(double_divide(double_divide(X5,identity),identity),identity)),
inference(forward_demodulation,[],[f138,f21]) ).
fof(f138,plain,
! [X5] : double_divide(identity,identity) = double_divide(X5,double_divide(double_divide(double_divide(X5,identity),identity),identity)),
inference(superposition,[],[f128,f74]) ).
fof(f74,plain,
! [X6,X7] : identity = double_divide(double_divide(X6,double_divide(double_divide(double_divide(X6,identity),X7),identity)),X7),
inference(superposition,[],[f6,f36]) ).
fof(f36,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),identity) = X1,
inference(superposition,[],[f29,f21]) ).
fof(f146,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X0,identity)) = X1,
inference(superposition,[],[f134,f29]) ).
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/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
% 0.03/0.12 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.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 22:43:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (26333)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)
% 0.20/0.50 % (26351)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)
% 0.20/0.50 % (26336)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)
% 0.20/0.51 % (26333)Instruction limit reached!
% 0.20/0.51 % (26333)------------------------------
% 0.20/0.51 % (26333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26353)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)
% 0.20/0.51 % (26342)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)
% 0.20/0.51 % (26333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26333)Termination reason: Unknown
% 0.20/0.51 % (26333)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (26333)Memory used [KB]: 5500
% 0.20/0.51 % (26333)Time elapsed: 0.097 s
% 0.20/0.51 % (26333)Instructions burned: 8 (million)
% 0.20/0.51 % (26333)------------------------------
% 0.20/0.51 % (26333)------------------------------
% 0.20/0.52 % (26337)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)
% 0.20/0.52 % (26327)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.52 % (26352)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)
% 0.20/0.53 % (26328)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)
% 0.20/0.53 % (26358)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)
% 0.20/0.53 % (26332)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)
% 0.20/0.53 % (26357)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)
% 0.20/0.53 % (26330)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)
% 0.20/0.53 % (26329)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)
% 0.20/0.54 % (26331)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)
% 0.20/0.54 % (26330)Instruction limit reached!
% 0.20/0.54 % (26330)------------------------------
% 0.20/0.54 % (26330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26330)Termination reason: Unknown
% 0.20/0.54 % (26330)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (26330)Memory used [KB]: 5500
% 0.20/0.54 % (26330)Time elapsed: 0.127 s
% 0.20/0.54 % (26330)Instructions burned: 6 (million)
% 0.20/0.54 % (26330)------------------------------
% 0.20/0.54 % (26330)------------------------------
% 0.20/0.54 % (26343)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 % (26339)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)
% 0.20/0.54 % (26348)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)
% 0.20/0.54 % (26335)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (26336)Instruction limit reached!
% 0.20/0.54 % (26336)------------------------------
% 0.20/0.54 % (26336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26336)Termination reason: Unknown
% 0.20/0.54 % (26336)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (26336)Memory used [KB]: 10746
% 0.20/0.54 % (26336)Time elapsed: 0.118 s
% 0.20/0.54 % (26336)Instructions burned: 39 (million)
% 0.20/0.54 % (26336)------------------------------
% 0.20/0.54 % (26336)------------------------------
% 0.20/0.54 % (26350)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)
% 0.20/0.54 % (26347)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)
% 0.20/0.55 % (26349)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.55 % (26353)First to succeed.
% 0.20/0.55 % (26353)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (26353)------------------------------
% 0.20/0.55 % (26353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26353)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (26353)Memory used [KB]: 1279
% 0.20/0.55 % (26353)Time elapsed: 0.129 s
% 0.20/0.55 % (26353)Instructions burned: 23 (million)
% 0.20/0.55 % (26353)------------------------------
% 0.20/0.55 % (26353)------------------------------
% 0.20/0.55 % (26324)Success in time 0.191 s
%------------------------------------------------------------------------------