TSTP Solution File: GRP578-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP578-1 : 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 : n002.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 1.78s 0.59s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 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 : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(subsumption_resolution,[],[f163,f175]) ).
fof(f175,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = X2,
inference(forward_demodulation,[],[f151,f171]) ).
fof(f171,plain,
! [X1] : double_divide(double_divide(X1,identity),identity) = X1,
inference(forward_demodulation,[],[f170,f31]) ).
fof(f31,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f30,f26]) ).
fof(f26,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f24,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(f24,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,f19]) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f30,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f27,f26]) ).
fof(f27,plain,
identity = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f8,f26]) ).
fof(f170,plain,
! [X1] : double_divide(double_divide(X1,identity),double_divide(identity,identity)) = X1,
inference(forward_demodulation,[],[f161,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,identity)) = double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),double_divide(X1,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f161,plain,
! [X1] : double_divide(double_divide(double_divide(identity,double_divide(identity,X1)),identity),double_divide(identity,identity)) = X1,
inference(superposition,[],[f15,f60]) ).
fof(f60,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
inference(forward_demodulation,[],[f52,f31]) ).
fof(f52,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(superposition,[],[f15,f35]) ).
fof(f35,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f34,f31]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(identity,identity))),identity) = X0,
inference(forward_demodulation,[],[f28,f31]) ).
fof(f28,plain,
! [X0] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,identity),X0),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f26]) ).
fof(f151,plain,
! [X2] : double_divide(double_divide(identity,double_divide(double_divide(X2,identity),identity)),identity) = X2,
inference(superposition,[],[f35,f60]) ).
fof(f163,plain,
a2 != double_divide(double_divide(identity,a2),identity),
inference(superposition,[],[f7,f60]) ).
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
% 0.04/0.12 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % 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 : n002.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 22:45:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 % (6615)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)
% 0.21/0.55 % (6607)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)
% 0.21/0.56 % (6607)Instruction limit reached!
% 0.21/0.56 % (6607)------------------------------
% 0.21/0.56 % (6607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (6623)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)
% 1.52/0.56 % (6607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (6607)Termination reason: Unknown
% 1.52/0.56 % (6607)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (6607)Memory used [KB]: 5628
% 1.52/0.56 % (6607)Time elapsed: 0.132 s
% 1.52/0.56 % (6607)Instructions burned: 7 (million)
% 1.52/0.56 % (6607)------------------------------
% 1.52/0.56 % (6607)------------------------------
% 1.52/0.56 % (6620)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)
% 1.52/0.57 % (6624)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)
% 1.52/0.58 % (6628)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)
% 1.52/0.58 % (6614)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)
% 1.78/0.58 % (6605)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)
% 1.78/0.58 % (6602)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)
% 1.78/0.59 % (6603)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)
% 1.78/0.59 % (6620)First to succeed.
% 1.78/0.59 % (6604)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)
% 1.78/0.59 % (6620)Refutation found. Thanks to Tanya!
% 1.78/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.59 % (6620)------------------------------
% 1.78/0.59 % (6620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (6620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (6620)Termination reason: Refutation
% 1.78/0.59
% 1.78/0.59 % (6620)Memory used [KB]: 5500
% 1.78/0.59 % (6620)Time elapsed: 0.154 s
% 1.78/0.59 % (6620)Instructions burned: 8 (million)
% 1.78/0.59 % (6620)------------------------------
% 1.78/0.59 % (6620)------------------------------
% 1.78/0.59 % (6600)Success in time 0.238 s
%------------------------------------------------------------------------------