TSTP Solution File: GRP580-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP580-1 : 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 : n026.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 16:16:35 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% 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 : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(trivial_inequality_removal,[],[f165]) ).
fof(f165,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f154,f164]) ).
fof(f164,plain,
! [X3,X4] : double_divide(double_divide(X4,X3),identity) = double_divide(identity,double_divide(X3,X4)),
inference(forward_demodulation,[],[f138,f149]) ).
fof(f149,plain,
! [X2] : double_divide(identity,double_divide(X2,identity)) = X2,
inference(backward_demodulation,[],[f124,f133]) ).
fof(f133,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f68,f125]) ).
fof(f125,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f104,f124]) ).
fof(f104,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f35,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(f35,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),identity) = double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),identity),
inference(backward_demodulation,[],[f11,f30]) ).
fof(f30,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f29,f25]) ).
fof(f25,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f22,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f18]) ).
fof(f18,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f15,f6]) ).
fof(f15,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),double_divide(identity,identity)) = X2,
inference(superposition,[],[f8,f6]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,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(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f29,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f26,f25]) ).
fof(f26,plain,
identity = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f8,f25]) ).
fof(f11,plain,
! [X3,X4] : double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),double_divide(identity,identity)) = double_divide(double_divide(X3,X4),identity),
inference(superposition,[],[f1,f6]) ).
fof(f68,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(superposition,[],[f48,f6]) ).
fof(f48,plain,
! [X4,X5] : double_divide(double_divide(identity,double_divide(double_divide(X4,X5),X4)),identity) = X5,
inference(forward_demodulation,[],[f33,f31]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),identity) = X2,
inference(backward_demodulation,[],[f1,f30]) ).
fof(f33,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(identity,double_divide(double_divide(X4,X5),double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X4),double_divide(X3,identity))),identity))),identity) = X5,
inference(backward_demodulation,[],[f9,f30]) ).
fof(f9,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X4,X5),double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X4),double_divide(X3,identity))),identity))),double_divide(identity,identity)) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f124,plain,
! [X2] : double_divide(double_divide(X2,identity),identity) = X2,
inference(forward_demodulation,[],[f119,f68]) ).
fof(f119,plain,
! [X2] : double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),identity),identity) = X2,
inference(backward_demodulation,[],[f39,f104]) ).
fof(f39,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),identity) = X2,
inference(backward_demodulation,[],[f15,f30]) ).
fof(f138,plain,
! [X3,X4] : double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),identity) = double_divide(identity,double_divide(X3,X4)),
inference(backward_demodulation,[],[f35,f133]) ).
fof(f154,plain,
double_divide(identity,double_divide(a,b)) != double_divide(double_divide(b,a),identity),
inference(backward_demodulation,[],[f7,f133]) ).
fof(f7,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
% 0.12/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n026.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 22:47:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (19822)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)
% 0.21/0.50 % (19829)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)
% 0.21/0.51 % (19829)First to succeed.
% 0.21/0.51 % (19845)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)
% 0.21/0.51 % (19840)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)
% 0.21/0.51 % (19832)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)
% 0.21/0.52 % (19824)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)
% 0.21/0.52 % (19831)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)
% 0.21/0.53 % (19820)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)
% 0.21/0.53 % (19818)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.53 % (19829)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (19829)------------------------------
% 0.21/0.53 % (19829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19829)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (19829)Memory used [KB]: 5628
% 0.21/0.53 % (19829)Time elapsed: 0.112 s
% 0.21/0.53 % (19829)Instructions burned: 15 (million)
% 0.21/0.53 % (19829)------------------------------
% 0.21/0.53 % (19829)------------------------------
% 0.21/0.53 % (19817)Success in time 0.176 s
%------------------------------------------------------------------------------