TSTP Solution File: GRP478-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:20:45 EDT 2024
% Result : Unsatisfiable 6.45s 1.19s
% Output : CNFRefutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 10 ( 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 : 233 ( 233 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,multiply(X1,X3))))),
inference(paramodulation,[status(thm)],[f4,f8]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,multiply(X2,X4))))),divide(X5,X3))),X4) = X5,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,multiply(X2,X4)))),divide(X5,X3))),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(multiply(divide(X4,X4),X5),divide(X2,divide(inverse(X5),divide(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(a1,a1),X3),X2)),X4),
inference(equality_split,[status(esa)],[f11]) ).
fof(f105,plain,
! [X0,X1,X2] : divide(divide(inverse(divide(divide(divide(a1,a1),X0),X1)),X2),divide(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f81,f4]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),divide(X4,inverse(divide(divide(multiply(inverse(X5),X5),X6),divide(X3,divide(X6,divide(X2,X7)))))))),X7) = X4,
inference(paramodulation,[status(thm)],[f10,f13]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),X3)),multiply(X4,divide(divide(multiply(inverse(X5),X5),X6),divide(X3,divide(X6,divide(X2,X7))))))),X7) = X4,
inference(forward_demodulation,[status(thm)],[f5,f120]) ).
fof(f160,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(divide(divide(a1,a1),X0),X1)),X2),divide(X0,inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f5,f105]) ).
fof(f161,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(divide(divide(a1,a1),X0),X1)),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f160]) ).
fof(f164,plain,
! [X0,X1,X2] : divide(divide(inverse(divide(multiply(divide(a1,a1),X0),X1)),X2),divide(inverse(X0),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f105]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),X1),X2)) = divide(inverse(divide(divide(divide(a1,a1),X3),divide(inverse(divide(divide(divide(a1,a1),X1),X2)),divide(X3,X4)))),X4),
inference(paramodulation,[status(thm)],[f105,f81]) ).
fof(f187,plain,
! [X0,X1,X2] : inverse(divide(divide(divide(X0,X0),X1),X2)) = inverse(divide(divide(divide(a1,a1),X1),X2)),
inference(forward_demodulation,[status(thm)],[f4,f186]) ).
fof(f200,plain,
! [X0,X1,X2] : divide(multiply(inverse(divide(multiply(divide(a1,a1),X0),X1)),X2),multiply(inverse(X0),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f161]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,multiply(X3,X4))))) = multiply(inverse(divide(divide(divide(a1,a1),X3),X2)),X4),
inference(equality_split,[status(esa)],[f20]) ).
fof(f427,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(divide(X0,X0),inverse(X1)),X2)) = multiply(inverse(divide(divide(divide(a1,a1),X3),divide(inverse(divide(multiply(divide(a1,a1),X1),X2)),multiply(X3,X4)))),X4),
inference(paramodulation,[status(thm)],[f164,f268]) ).
fof(f428,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = multiply(inverse(divide(divide(divide(a1,a1),X3),divide(inverse(divide(multiply(divide(a1,a1),X1),X2)),multiply(X3,X4)))),X4),
inference(forward_demodulation,[status(thm)],[f5,f427]) ).
fof(f429,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(a1,a1),X1),X2)),
inference(forward_demodulation,[status(thm)],[f8,f428]) ).
fof(f457,plain,
! [X0,X1,X2] : inverse(divide(X0,X1)) = inverse(divide(divide(divide(a1,a1),divide(X2,inverse(divide(divide(divide(a1,a1),X2),X0)))),X1)),
inference(paramodulation,[status(thm)],[f105,f187]) ).
fof(f458,plain,
! [X0,X1,X2] : inverse(divide(X0,X1)) = inverse(divide(divide(divide(a1,a1),multiply(X2,divide(divide(divide(a1,a1),X2),X0))),X1)),
inference(forward_demodulation,[status(thm)],[f5,f457]) ).
fof(f461,plain,
! [X0,X1,X2] : inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)) = inverse(divide(divide(divide(a1,a1),X1),X2)),
inference(paramodulation,[status(thm)],[f5,f187]) ).
fof(f482,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = divide(X0,inverse(divide(divide(divide(a1,a1),X2),X3))),
inference(paramodulation,[status(thm)],[f187,f5]) ).
fof(f483,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(a1,a1),X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f482]) ).
fof(f646,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = divide(inverse(divide(multiply(divide(a1,a1),X1),X2)),X3),
inference(equality_split,[status(esa)],[f26]) ).
fof(f863,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(X3,X3),X1),X2)),
inference(paramodulation,[status(thm)],[f429,f429]) ).
fof(f922,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(X0,X0),X1),X2)) = inverse(divide(multiply(divide(a1,a1),X1),X2)),
inference(equality_split,[status(esa)],[f863]) ).
fof(f1231,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),X3)) = divide(X0,inverse(divide(divide(divide(a1,a1),X2),X3))),
inference(paramodulation,[status(thm)],[f461,f5]) ).
fof(f1232,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),X3)) = multiply(X0,divide(divide(divide(a1,a1),X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f1231]) ).
fof(f1261,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(X4,X4),X2),X3)),
inference(paramodulation,[status(thm)],[f483,f483]) ).
fof(f1380,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(divide(X1,X1),X2),X3)) = multiply(X0,divide(divide(divide(a1,a1),X2),X3)),
inference(equality_split,[status(esa)],[f1261]) ).
fof(f3367,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(a1,a1),X3),X0)),X2)) = X1,
inference(paramodulation,[status(thm)],[f458,f161]) ).
fof(f3641,plain,
! [X0,X1,X2,X3,X4] : divide(X0,multiply(multiply(X1,divide(divide(divide(a1,a1),X1),divide(divide(X2,X2),X3))),X4)) = divide(X0,multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f8,f3367]) ).
fof(f4826,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(multiply(divide(a1,a1),divide(divide(divide(X0,X0),X1),X2)),multiply(X3,divide(divide(multiply(inverse(X4),X4),X5),divide(X2,divide(X5,divide(X1,X6))))))),X6) = X3,
inference(forward_demodulation,[status(thm)],[f646,f121]) ).
fof(f4827,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(a1,a1),divide(divide(divide(a1,a1),X0),X1)),multiply(X2,divide(divide(multiply(inverse(X3),X3),X4),divide(X1,divide(X4,divide(X0,X5))))))),X5) = X2,
inference(forward_demodulation,[status(thm)],[f1380,f4826]) ).
fof(f4828,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(multiply(divide(a1,a1),divide(divide(divide(a1,a1),X0),X1)),multiply(X2,divide(divide(divide(a1,a1),X3),divide(X1,divide(X3,divide(X0,X4))))))),X4) = X2,
inference(forward_demodulation,[status(thm)],[f1232,f4827]) ).
fof(f6239,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(multiply(divide(a1,a1),divide(divide(divide(a1,a1),X0),X1)),multiply(X2,divide(divide(divide(a1,a1),X3),divide(X1,divide(X3,divide(X0,X4))))))),X4) = multiply(X5,divide(divide(divide(a1,a1),X5),divide(divide(X6,X6),X2))),
inference(paramodulation,[status(thm)],[f3641,f4828]) ).
fof(f6240,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(divide(a1,a1),X1),divide(divide(X2,X2),X0))),
inference(forward_demodulation,[status(thm)],[f4828,f6239]) ).
fof(f6486,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(divide(a1,a1),X1),divide(multiply(inverse(X2),X2),X0))),
inference(paramodulation,[status(thm)],[f5,f6240]) ).
fof(f6533,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(X3,X3)))),X1) = X2,
inference(paramodulation,[status(thm)],[f6240,f22]) ).
fof(f6534,plain,
! [X0,X1,X2] : multiply(inverse(divide(multiply(divide(a1,a1),X0),divide(X1,divide(X2,X2)))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f922,f6533]) ).
fof(f7344,plain,
! [X0,X1,X2] : divide(X0,multiply(inverse(X1),X1)) = divide(X0,divide(X2,X2)),
inference(paramodulation,[status(thm)],[f6534,f200]) ).
fof(f7383,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = divide(X0,divide(a1,a1)),
inference(equality_split,[status(esa)],[f7344]) ).
fof(f7468,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(X1,divide(divide(divide(a1,a1),X1),divide(multiply(inverse(X2),X2),divide(a1,a1)))),
inference(paramodulation,[status(thm)],[f7383,f6486]) ).
fof(f7469,plain,
! [X0] : multiply(inverse(X0),X0) = divide(a1,a1),
inference(forward_demodulation,[status(thm)],[f6486,f7468]) ).
fof(f7719,plain,
multiply(inverse(a1),a1) != divide(a1,a1),
inference(backward_demodulation,[status(thm)],[f7469,f6]) ).
fof(f7720,plain,
divide(a1,a1) != divide(a1,a1),
inference(forward_demodulation,[status(thm)],[f7469,f7719]) ).
fof(f7721,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:13:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 6.45/1.19 % Refutation found
% 6.45/1.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.45/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.88/1.25 % Elapsed time: 0.896250 seconds
% 6.88/1.25 % CPU time: 6.935569 seconds
% 6.88/1.25 % Total memory used: 171.519 MB
% 6.88/1.25 % Net memory used: 168.963 MB
%------------------------------------------------------------------------------