TSTP Solution File: GRP576-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP576-1 : 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 : 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 16:16:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 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 : 8 ( 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 : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(trivial_inequality_removal,[],[f137]) ).
fof(f137,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(superposition,[],[f111,f105]) ).
fof(f105,plain,
! [X4,X5] : double_divide(X5,X4) = double_divide(X4,X5),
inference(forward_demodulation,[],[f104,f88]) ).
fof(f88,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f85,f82]) ).
fof(f82,plain,
! [X3] : double_divide(identity,double_divide(X3,identity)) = X3,
inference(backward_demodulation,[],[f70,f76]) ).
fof(f76,plain,
! [X4] : double_divide(identity,double_divide(identity,double_divide(X4,identity))) = double_divide(X4,identity),
inference(forward_demodulation,[],[f62,f34]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(superposition,[],[f25,f25]) ).
fof(f25,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(backward_demodulation,[],[f10,f23]) ).
fof(f23,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f13,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f10]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f21,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f8,f13]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,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(f10,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f62,plain,
! [X4] : double_divide(X4,identity) = double_divide(double_divide(identity,double_divide(identity,X4)),identity),
inference(superposition,[],[f30,f50]) ).
fof(f50,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f49,f23]) ).
fof(f49,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f45,f7]) ).
fof(f45,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,identity))) = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f37,f27]) ).
fof(f27,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),identity),
inference(backward_demodulation,[],[f13,f23]) ).
fof(f37,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(backward_demodulation,[],[f25,f34]) ).
fof(f30,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X3,X2),X2)),identity) = X3,
inference(backward_demodulation,[],[f29,f25]) ).
fof(f29,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X3,X2),double_divide(double_divide(identity,double_divide(identity,double_divide(X2,identity))),identity))),identity) = X3,
inference(backward_demodulation,[],[f15,f23]) ).
fof(f15,plain,
! [X2,X3] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X3,X2),double_divide(double_divide(identity,double_divide(identity,double_divide(X2,identity))),identity))),double_divide(identity,identity)) = X3,
inference(superposition,[],[f1,f10]) ).
fof(f70,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X3,identity)))) = X3,
inference(forward_demodulation,[],[f69,f65]) ).
fof(f65,plain,
! [X2,X3] : double_divide(identity,double_divide(double_divide(X2,X3),X3)) = double_divide(identity,double_divide(identity,double_divide(X2,identity))),
inference(superposition,[],[f37,f30]) ).
fof(f69,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(double_divide(X3,identity),identity))) = X3,
inference(forward_demodulation,[],[f67,f34]) ).
fof(f67,plain,
! [X3] : double_divide(double_divide(identity,double_divide(identity,double_divide(X3,identity))),identity) = X3,
inference(backward_demodulation,[],[f30,f65]) ).
fof(f85,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity) = X0,
inference(backward_demodulation,[],[f31,f84]) ).
fof(f84,plain,
! [X4] : double_divide(identity,X4) = double_divide(X4,identity),
inference(backward_demodulation,[],[f76,f82]) ).
fof(f31,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),identity) = X0,
inference(forward_demodulation,[],[f22,f23]) ).
fof(f22,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),double_divide(identity,identity)) = X0,
inference(superposition,[],[f8,f7]) ).
fof(f104,plain,
! [X4,X5] : double_divide(double_divide(double_divide(X4,X5),identity),identity) = double_divide(X5,X4),
inference(forward_demodulation,[],[f98,f82]) ).
fof(f98,plain,
! [X4,X5] : double_divide(double_divide(double_divide(X4,X5),identity),identity) = double_divide(X5,double_divide(identity,double_divide(X4,identity))),
inference(superposition,[],[f77,f50]) ).
fof(f77,plain,
! [X2,X3,X1] : double_divide(X2,identity) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(backward_demodulation,[],[f16,f76]) ).
fof(f16,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(identity,double_divide(X2,identity))) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(backward_demodulation,[],[f11,f14]) ).
fof(f14,plain,
! [X1] : double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f10]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(X2,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(superposition,[],[f1,f1]) ).
fof(f111,plain,
double_divide(identity,double_divide(b,a)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f87,f105]) ).
fof(f87,plain,
double_divide(double_divide(b,a),identity) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f6,f84]) ).
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
% 0.03/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.13/0.34 % Computer : n002.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 22:45:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (6641)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)
% 0.19/0.53 % (6657)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)
% 0.19/0.54 % (6639)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)
% 0.19/0.54 % (6649)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)
% 0.19/0.54 % (6656)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)
% 0.19/0.54 % (6639)Instruction limit reached!
% 0.19/0.54 % (6639)------------------------------
% 0.19/0.54 % (6639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6639)Termination reason: Unknown
% 0.19/0.54 % (6639)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6639)Memory used [KB]: 5500
% 0.19/0.54 % (6639)Time elapsed: 0.117 s
% 0.19/0.54 % (6639)Instructions burned: 9 (million)
% 0.19/0.54 % (6639)------------------------------
% 0.19/0.54 % (6639)------------------------------
% 0.19/0.54 % (6655)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)
% 0.19/0.54 % (6647)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)
% 0.19/0.54 % (6649)First to succeed.
% 0.19/0.55 % (6658)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)
% 0.19/0.55 % (6649)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (6649)------------------------------
% 0.19/0.55 % (6649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (6649)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (6649)Memory used [KB]: 5500
% 0.19/0.55 % (6649)Time elapsed: 0.115 s
% 0.19/0.55 % (6649)Instructions burned: 10 (million)
% 0.19/0.55 % (6649)------------------------------
% 0.19/0.55 % (6649)------------------------------
% 0.19/0.55 % (6632)Success in time 0.19 s
%------------------------------------------------------------------------------