TSTP Solution File: GRP590-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:21:01 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 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 : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X3))),X0))) = inverse(X3),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f26,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f37,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),double_divide(X1,X0)),inverse(X2)) = X2,
inference(paramodulation,[status(thm)],[f5,f26]) ).
fof(f38,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f26]) ).
fof(f43,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f46,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f43,f43]) ).
fof(f48,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f43,f26]) ).
fof(f54,plain,
! [X0,X1] : double_divide(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f43,f48]) ).
fof(f92,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),double_divide(X2,X3)),multiply(X3,X2)) = X0,
inference(paramodulation,[status(thm)],[f38,f8]) ).
fof(f93,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f43,f92]) ).
fof(f145,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))) = X0,
inference(paramodulation,[status(thm)],[f48,f93]) ).
fof(f146,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f46,f145]) ).
fof(f174,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f37,f12]) ).
fof(f249,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(paramodulation,[status(thm)],[f43,f146]) ).
fof(f273,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(paramodulation,[status(thm)],[f174,f146]) ).
fof(f290,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f54,f249]) ).
fof(f291,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f48,f249]) ).
fof(f308,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f291]) ).
fof(f340,plain,
! [X0] : multiply(inverse(b2),b2) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f308,f290]) ).
fof(f341,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f308,f340]) ).
fof(f347,plain,
! [X0] : double_divide(inverse(multiply(inverse(b2),b2)),inverse(multiply(multiply(inverse(b2),b2),X0))) = X0,
inference(paramodulation,[status(thm)],[f341,f273]) ).
fof(f348,plain,
! [X0] : multiply(multiply(inverse(b2),b2),X0) = X0,
inference(forward_demodulation,[status(thm)],[f48,f347]) ).
fof(f409,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f348,f6]) ).
fof(f410,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:18:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.021025 seconds
% 0.13/0.36 % CPU time: 0.081715 seconds
% 0.13/0.36 % Total memory used: 5.317 MB
% 0.13/0.36 % Net memory used: 5.202 MB
%------------------------------------------------------------------------------