TSTP Solution File: GRP599-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP599-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:21:02 EDT 2024
% Result : Unsatisfiable 3.22s 0.82s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(inverse(double_divide(inverse(X2),X1)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(multiply(multiply(multiply(X2,inverse(X1)),X3),inverse(X0)),double_divide(X3,X2))),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f12,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(X1),double_divide(double_divide(inverse(X0),X2),multiply(X2,inverse(X1)))),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(multiply(multiply(multiply(multiply(X1,inverse(X2)),X3),inverse(X0)),double_divide(X3,X1)),X2),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f15,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2)),
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(multiply(inverse(X1),double_divide(double_divide(X2,X3),multiply(multiply(X3,inverse(inverse(X0))),X2))),X1),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f84,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(inverse(X1),double_divide(double_divide(X2,X3),multiply(multiply(X3,inverse(inverse(X0))),X2)))),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f94,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f8,f74]) ).
fof(f96,plain,
! [X0,X1] : X0 = double_divide(X1,multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f8,f84]) ).
fof(f140,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X1,X2),multiply(multiply(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f5,f96]) ).
fof(f158,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f94,f8]) ).
fof(f179,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(double_divide(X2,inverse(X2)),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f158]) ).
fof(f805,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f140,f179]) ).
fof(f915,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f805,f5]) ).
fof(f1135,plain,
! [X0,X1,X2] : inverse(X0) = multiply(inverse(X1),double_divide(double_divide(inverse(X0),multiply(inverse(X2),X2)),inverse(X1))),
inference(paramodulation,[status(thm)],[f915,f12]) ).
fof(f1136,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(double_divide(inverse(X0),multiply(inverse(X1),X1)),inverse(X2)),inverse(X2)),
inference(paramodulation,[status(thm)],[f915,f15]) ).
fof(f1158,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),double_divide(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f805,f1135]) ).
fof(f1159,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,inverse(X1)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f805,f1136]) ).
fof(f1181,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X0,multiply(X1,X2)),inverse(double_divide(X2,X1))),
inference(paramodulation,[status(thm)],[f5,f1159]) ).
fof(f1206,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X0,multiply(X1,X2)),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f1181]) ).
fof(f1344,plain,
! [X0,X1] : X0 = double_divide(X1,multiply(inverse(X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f96,f1206]) ).
fof(f1592,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f805,f1344]) ).
fof(f1663,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f1592,f1158]) ).
fof(f1667,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,inverse(inverse(X1))),X1),
inference(paramodulation,[status(thm)],[f1592,f1159]) ).
fof(f1705,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X0),X1),
inference(paramodulation,[status(thm)],[f1592,f94]) ).
fof(f1725,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1592,f1663]) ).
fof(f1727,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f1592,f1667]) ).
fof(f1741,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f1592,f1705]) ).
fof(f2050,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,inverse(inverse(X0))),X1),
inference(paramodulation,[status(thm)],[f1741,f140]) ).
fof(f2071,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X1,multiply(inverse(inverse(X0)),X2)),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f1741,f8]) ).
fof(f2104,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f1592,f2050]) ).
fof(f2125,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X1,multiply(X0,X2)),multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1592,f2071]) ).
fof(f2163,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f2104,f1727]) ).
fof(f2518,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f2163,f1725]) ).
fof(f2540,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f2163,f5]) ).
fof(f3897,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f5,f2540]) ).
fof(f4077,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f3897,f6]) ).
fof(f5531,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f2163,f2125]) ).
fof(f5565,plain,
! [X0,X1,X2] : inverse(double_divide(X0,multiply(X1,X2))) = multiply(multiply(X2,X0),X1),
inference(paramodulation,[status(thm)],[f5531,f2518]) ).
fof(f5589,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f2540,f5565]) ).
fof(f7453,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f3897,f5589]) ).
fof(f7522,plain,
$false,
inference(resolution,[status(thm)],[f7453,f4077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP599-1 : 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 : n010.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 00:05:20 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 3.22/0.82 % Refutation found
% 3.22/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.22/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.76/0.85 % Elapsed time: 0.488648 seconds
% 3.76/0.85 % CPU time: 3.782133 seconds
% 3.76/0.85 % Total memory used: 80.615 MB
% 3.76/0.85 % Net memory used: 73.778 MB
%------------------------------------------------------------------------------