TSTP Solution File: GRP472-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP472-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:20:43 EDT 2024
% Result : Unsatisfiable 18.27s 2.67s
% Output : CNFRefutation 18.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 11 ( 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 : 189 ( 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(divide(inverse(X2),divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X1,X0),X5)))),divide(X4,X3)),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : inverse(X0) = divide(divide(inverse(multiply(X1,X0)),divide(divide(X2,X3),X1)),divide(X3,X2)),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : X0 = divide(divide(inverse(divide(inverse(X1),X0)),multiply(divide(X2,X3),X1)),divide(X3,X2)),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4] : X0 = divide(divide(inverse(divide(divide(X1,X2),X0)),inverse(X3)),divide(divide(divide(X2,X1),X4),inverse(multiply(X4,X3)))),
inference(paramodulation,[status(thm)],[f8,f4]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] : X0 = divide(multiply(inverse(divide(divide(X1,X2),X0)),X3),divide(divide(divide(X2,X1),X4),inverse(multiply(X4,X3)))),
inference(forward_demodulation,[status(thm)],[f5,f25]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] : X0 = divide(multiply(inverse(divide(divide(X1,X2),X0)),X3),multiply(divide(divide(X2,X1),X4),multiply(X4,X3))),
inference(forward_demodulation,[status(thm)],[f5,f33]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : X0 = divide(divide(inverse(divide(inverse(X1),X0)),multiply(multiply(X2,X3),X1)),divide(inverse(X3),X2)),
inference(paramodulation,[status(thm)],[f5,f10]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(divide(inverse(X2),X3),divide(divide(divide(divide(divide(X1,X0),X4),inverse(divide(X4,X2))),X5),inverse(divide(X5,X3)))),
inference(paramodulation,[status(thm)],[f4,f7]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(X0,X1) = divide(divide(inverse(divide(X2,X3)),divide(divide(X4,X5),divide(inverse(X6),divide(divide(X1,X0),divide(inverse(divide(X7,X6)),divide(divide(X3,X2),X7)))))),divide(X5,X4)),
inference(paramodulation,[status(thm)],[f4,f7]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(divide(X0,X1),divide(inverse(divide(inverse(X2),X3)),multiply(divide(X1,X0),X2))) = divide(divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(X3,X7)))),divide(X6,X5)),
inference(paramodulation,[status(thm)],[f10,f7]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(divide(inverse(X2),X3),multiply(divide(divide(divide(divide(X1,X0),X4),inverse(divide(X4,X2))),X5),divide(X5,X3))),
inference(forward_demodulation,[status(thm)],[f5,f57]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(divide(inverse(X2),X3),multiply(divide(multiply(divide(divide(X1,X0),X4),divide(X4,X2)),X5),divide(X5,X3))),
inference(forward_demodulation,[status(thm)],[f5,f98]) ).
fof(f851,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = divide(multiply(inverse(divide(divide(divide(divide(X1,X2),X3),inverse(divide(X3,X4))),X0)),X5),multiply(X4,multiply(divide(X2,X1),X5))),
inference(paramodulation,[status(thm)],[f4,f34]) ).
fof(f930,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = divide(multiply(inverse(divide(multiply(divide(divide(X1,X2),X3),divide(X3,X4)),X0)),X5),multiply(X4,multiply(divide(X2,X1),X5))),
inference(forward_demodulation,[status(thm)],[f5,f851]) ).
fof(f19225,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = divide(divide(a1,a1),divide(inverse(divide(inverse(a1),X4)),multiply(divide(a1,a1),a1))),
inference(equality_split,[status(esa)],[f75]) ).
fof(f19648,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(X4,X3))))) = divide(divide(inverse(X5),X6),multiply(divide(multiply(divide(divide(divide(a1,a1),divide(inverse(divide(inverse(a1),X4)),multiply(divide(a1,a1),a1))),X7),divide(X7,X5)),X8),divide(X8,X6))),
inference(paramodulation,[status(thm)],[f19225,f99]) ).
fof(f20011,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(X4,X3))))) = divide(divide(inverse(divide(inverse(a1),X4)),multiply(divide(a1,a1),a1)),divide(a1,a1)),
inference(forward_demodulation,[status(thm)],[f99,f19648]) ).
fof(f20012,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),divide(inverse(divide(X3,X2)),divide(X4,X3))))) = X4,
inference(forward_demodulation,[status(thm)],[f10,f20011]) ).
fof(f20398,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = divide(divide(inverse(divide(X2,X3)),divide(X3,X2)),divide(X1,X0)),
inference(paramodulation,[status(thm)],[f20012,f66]) ).
fof(f21086,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(divide(inverse(divide(X4,X5)),divide(X5,X4)),divide(X1,X0)),
inference(paramodulation,[status(thm)],[f20398,f20398]) ).
fof(f21461,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f20398,f21086]) ).
fof(f21644,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(multiply(inverse(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X4)),X5),multiply(X3,multiply(divide(X1,X0),X5))) = divide(X4,divide(inverse(divide(X6,X7)),divide(X7,X6))),
inference(paramodulation,[status(thm)],[f930,f21461]) ).
fof(f22150,plain,
! [X0,X1,X2] : X0 = divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f930,f21644]) ).
fof(f22499,plain,
! [X0,X1,X2] : X0 = divide(X0,inverse(divide(divide(X1,X2),inverse(divide(X2,X1))))),
inference(paramodulation,[status(thm)],[f22150,f22150]) ).
fof(f22814,plain,
! [X0,X1,X2] : X0 = divide(divide(X1,X2),divide(inverse(X0),divide(X2,X1))),
inference(paramodulation,[status(thm)],[f22150,f20012]) ).
fof(f23036,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(divide(X1,X2),inverse(divide(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f5,f22499]) ).
fof(f23037,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(divide(X1,X2),divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f5,f23036]) ).
fof(f29074,plain,
! [X0,X1,X2] : X0 = divide(divide(divide(X1,X2),inverse(divide(X2,X1))),inverse(X0)),
inference(paramodulation,[status(thm)],[f20398,f22814]) ).
fof(f29508,plain,
! [X0,X1,X2] : X0 = multiply(divide(divide(X1,X2),inverse(divide(X2,X1))),X0),
inference(forward_demodulation,[status(thm)],[f5,f29074]) ).
fof(f29509,plain,
! [X0,X1,X2] : X0 = multiply(multiply(divide(X1,X2),divide(X2,X1)),X0),
inference(forward_demodulation,[status(thm)],[f5,f29508]) ).
fof(f29819,plain,
! [X0,X1,X2,X3] : X0 = divide(divide(inverse(divide(inverse(X1),X0)),X1),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(paramodulation,[status(thm)],[f29509,f40]) ).
fof(f29929,plain,
! [X0,X1] : X0 = divide(inverse(divide(inverse(X1),X0)),X1),
inference(forward_demodulation,[status(thm)],[f22150,f29819]) ).
fof(f29938,plain,
! [X0,X1] : X0 = divide(inverse(X1),divide(inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f29929,f29929]) ).
fof(f30385,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f22150,f29938]) ).
fof(f30409,plain,
! [X0,X1] : X0 = divide(divide(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f29938,f22814]) ).
fof(f30653,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f5,f30409]) ).
fof(f31156,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f30653,f30385]) ).
fof(f31392,plain,
! [X0,X1,X2] : X0 = multiply(multiply(inverse(X1),divide(multiply(X1,X2),X2)),X0),
inference(paramodulation,[status(thm)],[f31156,f29509]) ).
fof(f31397,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(inverse(X1),divide(multiply(X1,X2),X2))),
inference(paramodulation,[status(thm)],[f31156,f23037]) ).
fof(f31471,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f30653,f31392]) ).
fof(f31478,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f30653,f31397]) ).
fof(f32288,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f31471,f31478]) ).
fof(f32371,plain,
$false,
inference(resolution,[status(thm)],[f32288,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP472-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:42:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 18.27/2.67 % Refutation found
% 18.27/2.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.27/2.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.81/2.76 % Elapsed time: 2.416718 seconds
% 18.81/2.76 % CPU time: 18.855989 seconds
% 18.81/2.76 % Total memory used: 488.756 MB
% 18.81/2.76 % Net memory used: 485.572 MB
%------------------------------------------------------------------------------