TSTP Solution File: GRP572-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n010.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 16:16:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f239,plain,
$false,
inference(trivial_inequality_removal,[],[f232]) ).
fof(f232,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f101,f216]) ).
fof(f216,plain,
! [X2,X3] : double_divide(X2,X3) = double_divide(X3,X2),
inference(superposition,[],[f213,f80]) ).
fof(f80,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),X2) = X3,
inference(forward_demodulation,[],[f79,f26]) ).
fof(f26,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f12,f23]) ).
fof(f23,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f15,f12]) ).
fof(f15,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f13,f7]) ).
fof(f7,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(f13,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(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(f12,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f10,f7]) ).
fof(f10,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f79,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),double_divide(double_divide(X2,identity),identity)) = X3,
inference(forward_demodulation,[],[f78,f38]) ).
fof(f38,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f25,f26]) ).
fof(f25,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(backward_demodulation,[],[f13,f23]) ).
fof(f78,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X3,X2),double_divide(double_divide(X2,identity),identity))),identity) = X3,
inference(superposition,[],[f27,f44]) ).
fof(f44,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(forward_demodulation,[],[f42,f26]) ).
fof(f42,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(X1,identity),identity),
inference(superposition,[],[f26,f25]) ).
fof(f27,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),identity) = X1,
inference(backward_demodulation,[],[f1,f23]) ).
fof(f213,plain,
! [X6,X5] : double_divide(X6,double_divide(X5,X6)) = X5,
inference(forward_demodulation,[],[f190,f44]) ).
fof(f190,plain,
! [X6,X5] : double_divide(identity,double_divide(X5,identity)) = double_divide(X6,double_divide(X5,X6)),
inference(superposition,[],[f143,f80]) ).
fof(f143,plain,
! [X2,X1] : double_divide(X1,double_divide(double_divide(X2,identity),X1)) = double_divide(identity,X2),
inference(superposition,[],[f93,f130]) ).
fof(f130,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,identity),X0))) = X1,
inference(forward_demodulation,[],[f71,f47]) ).
fof(f47,plain,
! [X1] : double_divide(identity,X1) = double_divide(X1,identity),
inference(superposition,[],[f26,f38]) ).
fof(f71,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),X0)),identity) = X1,
inference(forward_demodulation,[],[f49,f26]) ).
fof(f49,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f27,f7]) ).
fof(f93,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f38,f47]) ).
fof(f101,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(forward_demodulation,[],[f94,f47]) ).
fof(f94,plain,
double_divide(identity,double_divide(a,b)) != double_divide(double_divide(b,a),identity),
inference(backward_demodulation,[],[f6,f47]) ).
fof(f6,plain,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(b,a),identity),
inference(definition_unfolding,[],[f5,f2,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,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.13/0.34 % Computer : n010.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 22:25:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (27712)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)
% 0.20/0.50 % (27710)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)
% 0.20/0.50 % (27728)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)
% 0.20/0.50 % (27711)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)
% 0.20/0.50 % (27730)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)
% 0.20/0.50 % (27718)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)
% 0.20/0.50 % (27720)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)
% 0.20/0.51 % (27726)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)
% 0.20/0.51 % (27713)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)
% 0.20/0.51 % (27710)Instruction limit reached!
% 0.20/0.51 % (27710)------------------------------
% 0.20/0.51 % (27710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27710)Termination reason: Unknown
% 0.20/0.51 % (27710)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (27710)Memory used [KB]: 5500
% 0.20/0.51 % (27710)Time elapsed: 0.116 s
% 0.20/0.51 % (27710)Instructions burned: 7 (million)
% 0.20/0.51 % (27710)------------------------------
% 0.20/0.51 % (27710)------------------------------
% 0.20/0.51 % (27712)Instruction limit reached!
% 0.20/0.51 % (27712)------------------------------
% 0.20/0.51 % (27712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27727)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51 % (27713)Instruction limit reached!
% 0.20/0.51 % (27713)------------------------------
% 0.20/0.51 % (27713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27713)Termination reason: Unknown
% 0.20/0.51 % (27713)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (27713)Memory used [KB]: 5500
% 0.20/0.51 % (27713)Time elapsed: 0.118 s
% 0.20/0.51 % (27713)Instructions burned: 8 (million)
% 0.20/0.51 % (27713)------------------------------
% 0.20/0.51 % (27713)------------------------------
% 0.20/0.51 % (27714)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (27719)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.52 % (27733)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.52 % (27708)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)
% 0.20/0.52 % (27709)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)
% 0.20/0.52 % (27729)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)
% 0.20/0.52 % (27708)Instruction limit reached!
% 0.20/0.52 % (27708)------------------------------
% 0.20/0.52 % (27708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27708)Termination reason: Unknown
% 0.20/0.52 % (27708)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (27708)Memory used [KB]: 5756
% 0.20/0.52 % (27708)Time elapsed: 0.129 s
% 0.20/0.52 % (27708)Instructions burned: 12 (million)
% 0.20/0.52 % (27708)------------------------------
% 0.20/0.52 % (27708)------------------------------
% 0.20/0.52 % (27720)First to succeed.
% 0.20/0.52 % (27712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27712)Termination reason: Unknown
% 0.20/0.52 % (27712)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (27712)Memory used [KB]: 5756
% 0.20/0.52 % (27712)Time elapsed: 0.114 s
% 0.20/0.52 % (27712)Instructions burned: 20 (million)
% 0.20/0.52 % (27712)------------------------------
% 0.20/0.52 % (27712)------------------------------
% 0.20/0.52 % (27721)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)
% 0.20/0.52 % (27731)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)
% 0.20/0.52 % (27720)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (27720)------------------------------
% 0.20/0.52 % (27720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27720)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (27720)Memory used [KB]: 5628
% 0.20/0.52 % (27720)Time elapsed: 0.128 s
% 0.20/0.52 % (27720)Instructions burned: 12 (million)
% 0.20/0.52 % (27720)------------------------------
% 0.20/0.52 % (27720)------------------------------
% 0.20/0.52 % (27706)Success in time 0.177 s
%------------------------------------------------------------------------------