TSTP Solution File: GRP578-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n011.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 16:22:54 EDT 2022
% Result : Unsatisfiable 1.90s 0.62s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,plain,
$false,
inference(subsumption_resolution,[],[f6,f444]) ).
fof(f444,plain,
! [X9] : double_divide(double_divide(X9,identity),identity) = X9,
inference(forward_demodulation,[],[f442,f75]) ).
fof(f75,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(superposition,[],[f58,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(f58,plain,
! [X8,X7] : double_divide(double_divide(identity,double_divide(double_divide(X7,X8),X7)),identity) = X8,
inference(superposition,[],[f37,f37]) ).
fof(f37,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,f31]) ).
fof(f31,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f30,f7]) ).
fof(f30,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f29,f7]) ).
fof(f29,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f28,f25]) ).
fof(f25,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f23,f7]) ).
fof(f23,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,f7]) ).
fof(f15,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),double_divide(identity,identity)) = X2,
inference(superposition,[],[f8,f7]) ).
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,f7]) ).
fof(f28,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f25]) ).
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(f442,plain,
! [X9] : double_divide(double_divide(double_divide(identity,double_divide(identity,X9)),identity),identity) = X9,
inference(superposition,[],[f301,f416]) ).
fof(f416,plain,
! [X7] : identity = double_divide(X7,double_divide(identity,X7)),
inference(forward_demodulation,[],[f408,f361]) ).
fof(f361,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(identity,X0)),identity),
inference(forward_demodulation,[],[f334,f31]) ).
fof(f334,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(identity,X0)),identity),
inference(superposition,[],[f301,f7]) ).
fof(f408,plain,
! [X8,X7] : double_divide(X7,double_divide(identity,X7)) = double_divide(double_divide(X8,double_divide(identity,X8)),identity),
inference(superposition,[],[f301,f375]) ).
fof(f375,plain,
! [X5] : identity = double_divide(identity,double_divide(X5,double_divide(identity,X5))),
inference(superposition,[],[f135,f361]) ).
fof(f135,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f110,f31]) ).
fof(f110,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(identity,identity)),X0),
inference(superposition,[],[f81,f7]) ).
fof(f81,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = double_divide(double_divide(identity,X1),identity),
inference(superposition,[],[f58,f58]) ).
fof(f301,plain,
! [X4,X5] : double_divide(double_divide(X4,double_divide(double_divide(identity,X5),X4)),identity) = X5,
inference(superposition,[],[f36,f36]) ).
fof(f36,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),identity) = X1,
inference(backward_demodulation,[],[f8,f31]) ).
fof(f6,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/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:30:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % (20930)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (20930)Instruction limit reached!
% 0.20/0.57 % (20930)------------------------------
% 0.20/0.57 % (20930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20930)Termination reason: Unknown
% 0.20/0.57 % (20930)Termination phase: Saturation
% 0.20/0.58 % (20946)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58
% 0.20/0.58 % (20930)Memory used [KB]: 5373
% 0.20/0.58 % (20930)Time elapsed: 0.130 s
% 0.20/0.58 % (20930)Instructions burned: 2 (million)
% 0.20/0.58 % (20930)------------------------------
% 0.20/0.58 % (20930)------------------------------
% 0.20/0.58 % (20938)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (20945)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.59 % (20937)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59 % (20929)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.60 % (20929)Instruction limit reached!
% 0.20/0.60 % (20929)------------------------------
% 0.20/0.60 % (20929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (20929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (20929)Termination reason: Unknown
% 0.20/0.60 % (20929)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (20929)Memory used [KB]: 5500
% 0.20/0.60 % (20929)Time elapsed: 0.152 s
% 0.20/0.60 % (20929)Instructions burned: 7 (million)
% 0.20/0.60 % (20929)------------------------------
% 0.20/0.60 % (20929)------------------------------
% 1.90/0.61 % (20938)First to succeed.
% 1.90/0.62 % (20938)Refutation found. Thanks to Tanya!
% 1.90/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.90/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.62 % (20938)------------------------------
% 1.90/0.62 % (20938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.62 % (20938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.62 % (20938)Termination reason: Refutation
% 1.90/0.62
% 1.90/0.62 % (20938)Memory used [KB]: 5756
% 1.90/0.62 % (20938)Time elapsed: 0.176 s
% 1.90/0.62 % (20938)Instructions burned: 24 (million)
% 1.90/0.62 % (20938)------------------------------
% 1.90/0.62 % (20938)------------------------------
% 1.90/0.62 % (20921)Success in time 0.256 s
%------------------------------------------------------------------------------