TSTP Solution File: GRP492-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 May 31 12:11:51 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 162 (; 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f30,plain,
! [X0] : multiply(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f16,f28]) ).
fof(f142,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f143,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f15,f142]) ).
fof(f144,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(multiply(X0,inverse(identity)),double_divide(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f9,f143]) ).
fof(f145,plain,
! [X0,X1] : double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f8,f143]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3))) = double_divide(identity,X2),
inference(paramodulation,[status(thm)],[f143,f143]) ).
fof(f164,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(inverse(X1),X0),identity))) = X1,
inference(paramodulation,[status(thm)],[f9,f143]) ).
fof(f165,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(multiply(inverse(X1),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f164]) ).
fof(f166,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(identity,X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f8,f143]) ).
fof(f184,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(multiply(inverse(X0),inverse(identity)),identity))) = X0,
inference(paramodulation,[status(thm)],[f9,f144]) ).
fof(f185,plain,
! [X0] : double_divide(identity,double_divide(identity,inverse(multiply(inverse(X0),inverse(identity))))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f184]) ).
fof(f274,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))) = X0,
inference(paramodulation,[status(thm)],[f28,f165]) ).
fof(f275,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f16,f274]) ).
fof(f334,plain,
! [X0] : double_divide(X0,double_divide(identity,multiply(identity,identity))) = double_divide(identity,inverse(multiply(inverse(X0),inverse(identity)))),
inference(paramodulation,[status(thm)],[f185,f275]) ).
fof(f337,plain,
double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = identity,
inference(paramodulation,[status(thm)],[f8,f275]) ).
fof(f371,plain,
double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = double_divide(identity,inverse(inverse(identity))),
inference(paramodulation,[status(thm)],[f28,f334]) ).
fof(f372,plain,
identity = double_divide(identity,inverse(inverse(identity))),
inference(forward_demodulation,[status(thm)],[f337,f371]) ).
fof(f373,plain,
identity = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f16,f372]) ).
fof(f400,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f373,f275]) ).
fof(f401,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f400]) ).
fof(f402,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f15,f401]) ).
fof(f412,plain,
double_divide(identity,double_divide(identity,double_divide(multiply(multiply(identity,identity),inverse(identity)),identity))) = identity,
inference(paramodulation,[status(thm)],[f373,f144]) ).
fof(f413,plain,
double_divide(identity,double_divide(identity,inverse(multiply(multiply(identity,identity),inverse(identity))))) = identity,
inference(forward_demodulation,[status(thm)],[f8,f412]) ).
fof(f414,plain,
double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = identity,
inference(forward_demodulation,[status(thm)],[f30,f413]) ).
fof(f415,plain,
double_divide(identity,double_divide(identity,multiply(identity,identity))) = identity,
inference(forward_demodulation,[status(thm)],[f16,f414]) ).
fof(f416,plain,
double_divide(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f373,f415]) ).
fof(f417,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f8,f416]) ).
fof(f426,plain,
! [X0,X1] : double_divide(inverse(identity),double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[status(thm)],[f402,f145]) ).
fof(f493,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f166]) ).
fof(f494,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f493]) ).
fof(f495,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f417,f494]) ).
fof(f496,plain,
! [X0] : inverse(double_divide(identity,X0)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f495]) ).
fof(f497,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f15,f496]) ).
fof(f498,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f402,f497]) ).
fof(f568,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f498,f14]) ).
fof(f569,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
inference(backward_demodulation,[status(thm)],[f498,f166]) ).
fof(f571,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f498,f16]) ).
fof(f659,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f402,f568]) ).
fof(f665,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,X0),inverse(double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3))) = double_divide(identity,X2),
inference(backward_demodulation,[status(thm)],[f659,f161]) ).
fof(f666,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),inverse(double_divide(multiply(double_divide(identity,double_divide(multiply(X1,X2),double_divide(X3,X1))),X0),X3))) = double_divide(identity,X2),
inference(forward_demodulation,[status(thm)],[f659,f665]) ).
fof(f667,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,multiply(double_divide(identity,double_divide(multiply(X2,X3),double_divide(X1,X2))),X0))) = double_divide(identity,X3),
inference(forward_demodulation,[status(thm)],[f15,f666]) ).
fof(f668,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,multiply(inverse(double_divide(multiply(X2,X3),double_divide(X1,X2))),X0))) = double_divide(identity,X3),
inference(forward_demodulation,[status(thm)],[f659,f667]) ).
fof(f669,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,multiply(multiply(double_divide(X1,X2),multiply(X2,X3)),X0))) = double_divide(identity,X3),
inference(forward_demodulation,[status(thm)],[f15,f668]) ).
fof(f670,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,multiply(multiply(double_divide(X1,X2),multiply(X2,X3)),X0))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f659,f669]) ).
fof(f674,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),inverse(double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f659,f143]) ).
fof(f675,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f659,f674]) ).
fof(f676,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f15,f675]) ).
fof(f715,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f417,f426]) ).
fof(f716,plain,
! [X0,X1] : inverse(double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f659,f715]) ).
fof(f717,plain,
! [X0,X1] : multiply(double_divide(X0,double_divide(X1,X0)),identity) = X1,
inference(forward_demodulation,[status(thm)],[f15,f716]) ).
fof(f718,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f402,f717]) ).
fof(f726,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f718,f718]) ).
fof(f735,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f718,f15]) ).
fof(f743,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(double_divide(X0,X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f676,f726]) ).
fof(f755,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f726,f15]) ).
fof(f775,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f659,f569]) ).
fof(f776,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X0,inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f659,f775]) ).
fof(f777,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f15,f776]) ).
fof(f798,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f777,f735]) ).
fof(f799,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f571,f798]) ).
fof(f800,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f777,f726]) ).
fof(f838,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f571,f799]) ).
fof(f856,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f735,f838]) ).
fof(f857,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f15,f856]) ).
fof(f932,plain,
! [X0,X1,X2] : double_divide(inverse(inverse(multiply(X0,X1))),multiply(X2,double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f857,f670]) ).
fof(f933,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,double_divide(X2,X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f571,f932]) ).
fof(f934,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f755,f933]) ).
fof(f1536,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),inverse(multiply(X2,X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f743,f857]) ).
fof(f1537,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),double_divide(X1,X2)) = double_divide(X0,X2),
inference(forward_demodulation,[status(thm)],[f568,f1536]) ).
fof(f1589,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(multiply(X1,X0),X2),
inference(paramodulation,[status(thm)],[f934,f1537]) ).
fof(f1590,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(X1,X2))) = double_divide(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f800,f1589]) ).
fof(f1591,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f1590]) ).
fof(f1696,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f1591,f15]) ).
fof(f1697,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f15,f1696]) ).
fof(f1698,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1697,f10]) ).
fof(f1699,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue May 30 11:31:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.102195 seconds
% 0.20/0.45 % CPU time: 0.170764 seconds
% 0.20/0.45 % Memory used: 3.687 MB
%------------------------------------------------------------------------------