TSTP Solution File: GRP468-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP468-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:20:42 EDT 2024
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f24,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f63,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f24,f7]) ).
fof(f72,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X3)),X1))) = X2,
inference(paramodulation,[status(thm)],[f24,f7]) ).
fof(f102,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(multiply(inverse(X2),X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f53,f7]) ).
fof(f113,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,multiply(inverse(X3),X3)),X1))) = X2,
inference(paramodulation,[status(thm)],[f53,f7]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(X0,X0),divide(multiply(X1,X2),multiply(divide(X3,X3),multiply(divide(X1,divide(X4,X4)),X2)))) = divide(X5,X5),
inference(paramodulation,[status(thm)],[f72,f9]) ).
fof(f149,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,divide(X1,X1)),X2),multiply(X0,X2)) = divide(X3,X3),
inference(forward_demodulation,[status(thm)],[f63,f148]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,X2),X3))) = multiply(divide(X3,divide(X4,X4)),X1),
inference(paramodulation,[status(thm)],[f149,f11]) ).
fof(f178,plain,
! [X0,X1,X2] : divide(X0,inverse(X1)) = multiply(divide(X0,divide(X2,X2)),X1),
inference(forward_demodulation,[status(thm)],[f63,f177]) ).
fof(f179,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(divide(X0,divide(X2,X2)),X1),
inference(forward_demodulation,[status(thm)],[f5,f178]) ).
fof(f229,plain,
! [X0,X1,X2] : divide(divide(X0,X0),divide(X1,multiply(X2,X1))) = X2,
inference(backward_demodulation,[status(thm)],[f179,f72]) ).
fof(f249,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f229,f113]) ).
fof(f265,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f53,f249]) ).
fof(f302,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(divide(X1,X1),multiply(divide(X2,X3),X3))) = X2,
inference(paramodulation,[status(thm)],[f265,f8]) ).
fof(f304,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(divide(X1,X1),multiply(divide(X2,X3),X3))) = X2,
inference(paramodulation,[status(thm)],[f265,f7]) ).
fof(f315,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(paramodulation,[status(thm)],[f249,f229]) ).
fof(f336,plain,
! [X0,X1,X2] : inverse(divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f315,f7]) ).
fof(f337,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(backward_demodulation,[status(thm)],[f315,f229]) ).
fof(f339,plain,
! [X0,X1,X2] : divide(divide(X0,X0),inverse(multiply(divide(X1,X2),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f315,f304]) ).
fof(f340,plain,
! [X0,X1,X2] : multiply(divide(X0,X0),multiply(divide(X1,X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f339]) ).
fof(f341,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),X0),inverse(multiply(divide(X1,X2),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f315,f302]) ).
fof(f342,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),X0),multiply(divide(X1,X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f341]) ).
fof(f375,plain,
! [X0,X1,X2] : inverse(divide(X0,multiply(multiply(inverse(X1),X1),X2))) = divide(X2,X0),
inference(backward_demodulation,[status(thm)],[f315,f102]) ).
fof(f394,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f5,f315]) ).
fof(f412,plain,
! [X0,X1] : inverse(inverse(multiply(X0,divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f315,f337]) ).
fof(f414,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f315,f265]) ).
fof(f415,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f414]) ).
fof(f425,plain,
! [X0,X1] : inverse(inverse(multiply(divide(X0,X1),X1))) = X0,
inference(backward_demodulation,[status(thm)],[f394,f340]) ).
fof(f460,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f415,f412]) ).
fof(f464,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f460,f425]) ).
fof(f473,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[status(thm)],[f464,f342]) ).
fof(f476,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f473,f375]) ).
fof(f477,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f476,f337]) ).
fof(f506,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f476,f336]) ).
fof(f642,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(divide(X0,divide(X2,X1)),X2),
inference(paramodulation,[status(thm)],[f506,f464]) ).
fof(f727,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f477,f476]) ).
fof(f1070,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(divide(X0,inverse(X1)),X2),
inference(paramodulation,[status(thm)],[f727,f642]) ).
fof(f1071,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f5,f1070]) ).
fof(f1095,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1071,f6]) ).
fof(f1096,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP468-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Tue Apr 30 00:24:59 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.130560 seconds
% 0.20/0.49 % CPU time: 0.924732 seconds
% 0.20/0.49 % Total memory used: 31.611 MB
% 0.20/0.49 % Net memory used: 30.994 MB
%------------------------------------------------------------------------------