TSTP Solution File: GRP492-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n028.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 : Tue Apr 30 20:20:47 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 77 ( 77 unt; 0 def)
% Number of atoms : 77 ( 76 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 111 !; 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(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f15]) ).
fof(f25,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f28,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f32,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f114,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(f115,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)],[f14,f114]) ).
fof(f116,plain,
! [X0,X1] : X0 = double_divide(identity,double_divide(identity,double_divide(multiply(X1,inverse(identity)),double_divide(X0,X1)))),
inference(paramodulation,[status(thm)],[f9,f115]) ).
fof(f128,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(inverse(X0),X1),identity))),
inference(paramodulation,[status(thm)],[f9,f115]) ).
fof(f129,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(identity,X1),inverse(X0)))),
inference(paramodulation,[status(thm)],[f8,f115]) ).
fof(f133,plain,
! [X0,X1,X2] : multiply(double_divide(identity,double_divide(multiply(X0,X1),double_divide(X2,X0))),double_divide(identity,X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f115,f14]) ).
fof(f139,plain,
! [X0,X1] : X0 = double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X0),X1)))),
inference(forward_demodulation,[status(thm)],[f8,f128]) ).
fof(f148,plain,
! [X0] : X0 = double_divide(identity,double_divide(identity,double_divide(multiply(inverse(X0),inverse(identity)),identity))),
inference(paramodulation,[status(thm)],[f9,f116]) ).
fof(f161,plain,
! [X0] : X0 = double_divide(identity,double_divide(identity,inverse(multiply(inverse(X0),inverse(identity))))),
inference(forward_demodulation,[status(thm)],[f8,f148]) ).
fof(f186,plain,
! [X0] : X0 = double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))),
inference(paramodulation,[status(thm)],[f28,f139]) ).
fof(f197,plain,
! [X0] : X0 = double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity))),
inference(forward_demodulation,[status(thm)],[f16,f186]) ).
fof(f355,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f9,f129]) ).
fof(f371,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f355]) ).
fof(f375,plain,
multiply(identity,inverse(identity)) = double_divide(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f371]) ).
fof(f376,plain,
multiply(identity,identity) = double_divide(inverse(identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f371]) ).
fof(f389,plain,
multiply(identity,inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f9,f375]) ).
fof(f469,plain,
multiply(inverse(identity),inverse(identity)) = inverse(multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f376,f14]) ).
fof(f477,plain,
multiply(inverse(identity),inverse(identity)) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f17,f469]) ).
fof(f478,plain,
multiply(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f389,f477]) ).
fof(f479,plain,
identity = double_divide(identity,double_divide(identity,inverse(identity))),
inference(paramodulation,[status(thm)],[f478,f161]) ).
fof(f486,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f9,f479]) ).
fof(f487,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f486]) ).
fof(f496,plain,
multiply(inverse(identity),identity) = identity,
inference(backward_demodulation,[status(thm)],[f487,f478]) ).
fof(f499,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),identity),
inference(backward_demodulation,[status(thm)],[f487,f371]) ).
fof(f519,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f487,f496]) ).
fof(f521,plain,
! [X0] : multiply(identity,X0) = inverse(double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f8,f499]) ).
fof(f522,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f14,f521]) ).
fof(f530,plain,
! [X0] : X0 = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
inference(backward_demodulation,[status(thm)],[f519,f197]) ).
fof(f545,plain,
! [X0] : X0 = double_divide(double_divide(identity,X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f530]) ).
fof(f546,plain,
! [X0] : X0 = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[status(thm)],[f487,f545]) ).
fof(f547,plain,
! [X0] : X0 = inverse(double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f8,f546]) ).
fof(f548,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f14,f547]) ).
fof(f701,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(identity,double_divide(X1,double_divide(X0,X1))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f548,f133]) ).
fof(f723,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(identity,double_divide(X1,double_divide(X0,X1))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f701]) ).
fof(f724,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(identity,double_divide(X1,double_divide(X0,X1))),identity),
inference(forward_demodulation,[status(thm)],[f487,f723]) ).
fof(f725,plain,
! [X0,X1] : inverse(X0) = double_divide(identity,double_divide(X1,double_divide(X0,X1))),
inference(forward_demodulation,[status(thm)],[f548,f724]) ).
fof(f746,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f753,f32]) ).
fof(f748,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f753,f15]) ).
fof(f752,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f753,f16]) ).
fof(f753,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f548,f522]) ).
fof(f760,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f753,f746]) ).
fof(f761,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f753,f760]) ).
fof(f776,plain,
! [X0,X1] : identity = double_divide(multiply(X0,X1),double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f761]) ).
fof(f924,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f548,f748]) ).
fof(f935,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)],[f924,f115]) ).
fof(f950,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f924,f935]) ).
fof(f951,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f14,f950]) ).
fof(f1062,plain,
! [X0,X1] : inverse(X0) = inverse(double_divide(X1,double_divide(X0,X1))),
inference(forward_demodulation,[status(thm)],[f924,f725]) ).
fof(f1063,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f14,f1062]) ).
fof(f1075,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1063,f748]) ).
fof(f1081,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f752,f1075]) ).
fof(f1087,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f1081,f1081]) ).
fof(f1227,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(X1,multiply(double_divide(X1,X2),multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f951,f1063]) ).
fof(f1255,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(double_divide(X1,X2),multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f752,f1227]) ).
fof(f1702,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X1,X2),multiply(identity,multiply(double_divide(X2,X1),X0))),
inference(paramodulation,[status(thm)],[f776,f1255]) ).
fof(f1709,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X2,multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f1087,f1255]) ).
fof(f1738,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X1,X2),multiply(double_divide(X2,X1),X0)),
inference(forward_demodulation,[status(thm)],[f753,f1702]) ).
fof(f2080,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1709,f1738]) ).
fof(f2135,plain,
$false,
inference(resolution,[status(thm)],[f2080,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 : Tue Apr 30 00:49:29 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41 % Elapsed time: 0.062952 seconds
% 0.19/0.41 % CPU time: 0.418410 seconds
% 0.19/0.41 % Total memory used: 24.441 MB
% 0.19/0.41 % Net memory used: 24.019 MB
%------------------------------------------------------------------------------