TSTP Solution File: GRP554-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP554-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:20:56 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% 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 : 6 ( 4 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 : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : X0 = divide(multiply(multiply(X1,divide(X2,divide(X1,X3))),divide(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,divide(X0,multiply(X2,X3)))) = multiply(multiply(X2,X1),X3),
inference(paramodulation,[status(thm)],[f7,f15]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(multiply(X1,divide(X2,multiply(X1,X3))),divide(X0,X2)),X3),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2) = multiply(X4,divide(X3,divide(X4,X1))),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f22,plain,
! [X0,X1,X2] : X0 = divide(multiply(multiply(X1,X0),X2),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f16,f7]) ).
fof(f30,plain,
! [X0,X1,X2] : X0 = divide(divide(multiply(X1,X0),X2),divide(X1,X2)),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f49,plain,
! [X0,X1,X2] : X0 = divide(X1,divide(multiply(X2,X1),multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f22,f30]) ).
fof(f61,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(divide(multiply(X0,X3),X2),divide(X1,X3)),
inference(paramodulation,[status(thm)],[f30,f9]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X3)) = multiply(X1,divide(X2,X3)),
inference(paramodulation,[status(thm)],[f49,f9]) ).
fof(f79,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f74,f22]) ).
fof(f92,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),divide(X2,X2)) = multiply(X3,divide(X1,divide(X3,X0))),
inference(paramodulation,[status(thm)],[f79,f16]) ).
fof(f96,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(multiply(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f107,f9]) ).
fof(f105,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2) = multiply(X1,X3),
inference(backward_demodulation,[status(thm)],[f107,f20]) ).
fof(f106,plain,
! [X0,X1,X2] : X0 = divide(multiply(multiply(X1,X2),divide(X0,X2)),X1),
inference(backward_demodulation,[status(thm)],[f107,f10]) ).
fof(f107,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(forward_demodulation,[status(thm)],[f79,f92]) ).
fof(f110,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = divide(multiply(multiply(X0,X3),divide(X1,X3)),X2),
inference(backward_demodulation,[status(thm)],[f96,f61]) ).
fof(f119,plain,
! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
inference(backward_demodulation,[status(thm)],[f105,f17]) ).
fof(f122,plain,
! [X0,X1] : X0 = divide(multiply(X1,X0),X1),
inference(backward_demodulation,[status(thm)],[f110,f106]) ).
fof(f125,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(paramodulation,[status(thm)],[f122,f30]) ).
fof(f172,plain,
! [X0,X1] : X0 = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f125,f119]) ).
fof(f177,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f5,f172]) ).
fof(f181,plain,
$false,
inference(resolution,[status(thm)],[f177,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP554-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.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 : Tue Apr 30 00:14:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42 % Elapsed time: 0.056364 seconds
% 0.21/0.42 % CPU time: 0.316993 seconds
% 0.21/0.42 % Total memory used: 15.822 MB
% 0.21/0.42 % Net memory used: 15.524 MB
%------------------------------------------------------------------------------