TSTP Solution File: GRP488-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP488-1 : 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 : n020.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 16:22:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(trivial_inequality_removal,[],[f175]) ).
fof(f175,plain,
a2 != a2,
inference(superposition,[],[f152,f159]) ).
fof(f159,plain,
! [X2,X1] : double_divide(double_divide(X1,X2),X1) = X2,
inference(backward_demodulation,[],[f70,f158]) ).
fof(f158,plain,
! [X5] : double_divide(identity,double_divide(identity,X5)) = X5,
inference(forward_demodulation,[],[f135,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
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(f135,plain,
! [X5] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,X5)) = X5,
inference(superposition,[],[f70,f106]) ).
fof(f106,plain,
! [X1] : identity = double_divide(double_divide(identity,X1),X1),
inference(superposition,[],[f58,f68]) ).
fof(f68,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f45,f56]) ).
fof(f56,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f45,f7]) ).
fof(f45,plain,
! [X1] : double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f39,f44]) ).
fof(f44,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity),
inference(forward_demodulation,[],[f34,f33]) ).
fof(f33,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,identity),
inference(superposition,[],[f17,f7]) ).
fof(f17,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f16,f8]) ).
fof(f8,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f16,plain,
! [X2,X1] : double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f10]) ).
fof(f10,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f34,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X0,X1))),X0),identity),
inference(superposition,[],[f17,f1]) ).
fof(f39,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(backward_demodulation,[],[f25,f33]) ).
fof(f25,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,identity),identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(superposition,[],[f1,f23]) ).
fof(f23,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(forward_demodulation,[],[f22,f8]) ).
fof(f22,plain,
! [X0] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity),identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
inference(superposition,[],[f1,f20]) ).
fof(f20,plain,
identity = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),identity)),
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f10,f7]) ).
fof(f58,plain,
! [X0] : identity = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X0),identity)),
inference(superposition,[],[f1,f45]) ).
fof(f70,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,X2))),X1) = X2,
inference(backward_demodulation,[],[f62,f56]) ).
fof(f62,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,X2))),X1) = X2,
inference(forward_demodulation,[],[f57,f33]) ).
fof(f57,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X1,X2))),X1) = X2,
inference(superposition,[],[f45,f1]) ).
fof(f152,plain,
a2 != double_divide(double_divide(identity,a2),identity),
inference(backward_demodulation,[],[f6,f144]) ).
fof(f144,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f131,f7]) ).
fof(f131,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),X0),
inference(superposition,[],[f70,f7]) ).
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
% 0.04/0.12 % Problem : GRP488-1 : 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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:33:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (21750)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.46 % (21743)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 (3000ds/75Mi)
% 0.19/0.47 % (21734)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.49 TRYING [4]
% 0.19/0.50 % (21737)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (21737)First to succeed.
% 0.19/0.50 % (21739)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (21730)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.51 % (21735)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 TRYING [5]
% 0.19/0.51 % (21737)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (21737)------------------------------
% 0.19/0.51 % (21737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21737)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (21737)Memory used [KB]: 1023
% 0.19/0.51 % (21737)Time elapsed: 0.107 s
% 0.19/0.51 % (21737)Instructions burned: 10 (million)
% 0.19/0.51 % (21737)------------------------------
% 0.19/0.51 % (21737)------------------------------
% 0.19/0.51 % (21725)Success in time 0.166 s
%------------------------------------------------------------------------------