TSTP Solution File: GRP074-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 11:51:28 EDT 2024
% Result : Unsatisfiable 3.01s 0.83s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 122 ( 119 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 482 ( 482 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24198,plain,
$false,
inference(trivial_inequality_removal,[],[f24197]) ).
fof(f24197,plain,
a2 != a2,
inference(superposition,[],[f23321,f17459]) ).
fof(f17459,plain,
! [X3,X4] : multiply(divide(X3,X4),X4) = X3,
inference(forward_demodulation,[],[f17458,f16481]) ).
fof(f16481,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f14241,f16222]) ).
fof(f16222,plain,
! [X1,X4] : divide(multiply(X1,X4),X4) = X1,
inference(forward_demodulation,[],[f16221,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f16221,plain,
! [X1,X4] : divide(divide(X1,inverse(X4)),X4) = X1,
inference(forward_demodulation,[],[f16220,f16174]) ).
fof(f16174,plain,
! [X2,X0,X1] : inverse(X2) = divide(X1,divide(X2,divide(divide(X0,X0),X1))),
inference(forward_demodulation,[],[f16038,f14903]) ).
fof(f14903,plain,
! [X2,X0] : divide(X2,X0) = inverse(divide(X0,X2)),
inference(forward_demodulation,[],[f14693,f14274]) ).
fof(f14274,plain,
! [X0,X6,X4] : divide(X0,X4) = divide(multiply(X0,X6),multiply(X4,X6)),
inference(forward_demodulation,[],[f14273,f14260]) ).
fof(f14260,plain,
! [X4,X5] : inverse(divide(divide(X4,X4),X5)) = X5,
inference(forward_demodulation,[],[f14259,f13747]) ).
fof(f13747,plain,
! [X2,X3,X0,X1] : multiply(X1,divide(divide(divide(X0,X0),X3),divide(divide(X2,X2),X3))) = X1,
inference(superposition,[],[f13628,f1705]) ).
fof(f1705,plain,
! [X2,X3,X1,X4] : divide(divide(X2,X3),divide(X1,X3)) = divide(divide(X2,X4),divide(X1,X4)),
inference(superposition,[],[f333,f1483]) ).
fof(f1483,plain,
! [X2,X6,X4,X5] : inverse(divide(divide(divide(X4,X4),X5),divide(divide(X6,X2),divide(X5,X2)))) = X6,
inference(superposition,[],[f329,f333]) ).
fof(f329,plain,
! [X2,X3,X1,X4,X5] : inverse(divide(divide(divide(X4,X4),X5),divide(divide(X2,divide(X1,X3)),divide(X5,divide(X1,X3))))) = X2,
inference(superposition,[],[f8,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),
inference(superposition,[],[f1,f1]) ).
fof(f333,plain,
! [X2,X3,X4,X5] : divide(divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),divide(X3,X4)) = X2,
inference(superposition,[],[f1,f8]) ).
fof(f13628,plain,
! [X3,X0,X6,X5] : multiply(X5,divide(divide(divide(X6,X6),X5),divide(divide(X0,X0),X3))) = X3,
inference(forward_demodulation,[],[f13462,f1483]) ).
fof(f13462,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,X4),divide(X2,X4)))) = multiply(X5,divide(divide(divide(X6,X6),X5),divide(divide(X0,X0),X3))),
inference(superposition,[],[f13057,f1707]) ).
fof(f1707,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = divide(X4,X2),
inference(superposition,[],[f2,f1483]) ).
fof(f13057,plain,
! [X2,X3,X1,X4] : inverse(X4) = multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X4))),
inference(forward_demodulation,[],[f12846,f743]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = divide(divide(inverse(multiply(X2,X3)),X4),divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)),
inference(forward_demodulation,[],[f696,f2]) ).
fof(f696,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = divide(divide(inverse(multiply(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)),
inference(superposition,[],[f456,f333]) ).
fof(f456,plain,
! [X2,X3,X0,X1] : inverse(X2) = divide(divide(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)),
inference(superposition,[],[f333,f2]) ).
fof(f12846,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X4))) = divide(divide(inverse(multiply(X0,X4)),X5),divide(multiply(X6,divide(divide(divide(X7,X7),X6),X0)),X5)),
inference(superposition,[],[f494,f12445]) ).
fof(f12445,plain,
! [X2,X0,X1,X4,X5] : multiply(X2,X1) = divide(X2,multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X0,X0),X1)))),
inference(superposition,[],[f1927,f551]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(inverse(divide(X2,X3)),X4),multiply(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)) = X3,
inference(forward_demodulation,[],[f522,f2]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(inverse(divide(X2,X3)),X4),multiply(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3,
inference(superposition,[],[f495,f333]) ).
fof(f495,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(forward_demodulation,[],[f460,f2]) ).
fof(f460,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
inference(superposition,[],[f333,f2]) ).
fof(f1927,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X1) = divide(multiply(inverse(divide(multiply(divide(X0,X0),X3),multiply(X2,X3))),X4),multiply(X1,X4)),
inference(superposition,[],[f495,f1704]) ).
fof(f1704,plain,
! [X2,X3,X1,X4] : divide(divide(X2,X3),divide(X1,X3)) = divide(multiply(X2,X4),multiply(X1,X4)),
inference(superposition,[],[f495,f1483]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)) = X3,
inference(forward_demodulation,[],[f454,f2]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3,
inference(superposition,[],[f333,f333]) ).
fof(f14259,plain,
! [X2,X3,X1,X4,X5] : inverse(divide(divide(X4,X4),multiply(X5,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))))) = X5,
inference(forward_demodulation,[],[f14042,f14256]) ).
fof(f14256,plain,
! [X0,X4,X5] : divide(divide(X0,X4),divide(X5,X4)) = divide(X0,X5),
inference(forward_demodulation,[],[f14039,f13747]) ).
fof(f14039,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X0,X4),divide(X5,X4)) = divide(X0,multiply(X5,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2)))),
inference(superposition,[],[f1704,f13747]) ).
fof(f14042,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X4,X4),X0),divide(multiply(X5,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))),X0))) = X5,
inference(superposition,[],[f1749,f13747]) ).
fof(f1749,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X2,X2),X3),divide(multiply(X0,X1),multiply(X3,X1)))) = X0,
inference(forward_demodulation,[],[f1640,f2]) ).
fof(f1640,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X2,X2),X3),divide(multiply(X0,X1),divide(X3,inverse(X1))))) = X0,
inference(superposition,[],[f1483,f2]) ).
fof(f14273,plain,
! [X0,X6,X4,X5] : divide(X0,X4) = divide(multiply(inverse(divide(divide(X5,X5),X0)),X6),multiply(X4,X6)),
inference(forward_demodulation,[],[f14053,f13747]) ).
fof(f14053,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X0,X4) = divide(multiply(inverse(divide(multiply(divide(X5,X5),divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))),X0)),X6),multiply(X4,X6)),
inference(superposition,[],[f1927,f13747]) ).
fof(f14693,plain,
! [X2,X0,X1] : divide(X2,X0) = inverse(divide(multiply(X0,X1),multiply(X2,X1))),
inference(superposition,[],[f1926,f14239]) ).
fof(f14239,plain,
! [X3,X0] : divide(X0,divide(X3,X3)) = X0,
inference(forward_demodulation,[],[f14017,f14230]) ).
fof(f14230,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))) = X2,
inference(forward_demodulation,[],[f14008,f13747]) ).
fof(f14008,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,divide(divide(divide(X3,X3),X4),divide(divide(X5,X5),X4)))))) = X2,
inference(superposition,[],[f13747,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(superposition,[],[f1,f2]) ).
fof(f14017,plain,
! [X2,X3,X0,X4] : divide(X0,inverse(divide(divide(divide(X4,X4),X2),divide(divide(X3,X3),X2)))) = X0,
inference(superposition,[],[f13747,f2782]) ).
fof(f2782,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(divide(X0,X0),X1),X2)) = divide(X4,inverse(divide(divide(divide(X3,X3),X1),X2))),
inference(superposition,[],[f2,f1523]) ).
fof(f1523,plain,
! [X2,X0,X1,X5] : inverse(divide(divide(divide(X0,X0),X1),X2)) = inverse(divide(divide(divide(X5,X5),X1),X2)),
inference(superposition,[],[f329,f333]) ).
fof(f1926,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(multiply(X0,X2),multiply(X1,X2)),divide(divide(X3,X4),divide(divide(X1,X0),X4)))) = X3,
inference(superposition,[],[f1483,f1704]) ).
fof(f16038,plain,
! [X2,X0,X1] : inverse(X2) = divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),
inference(superposition,[],[f14260,f333]) ).
fof(f16220,plain,
! [X2,X3,X1,X4] : divide(divide(X1,divide(X2,divide(X4,divide(divide(X3,X3),X2)))),X4) = X1,
inference(forward_demodulation,[],[f16219,f14239]) ).
fof(f16219,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,divide(X2,divide(X4,divide(divide(divide(X3,X3),X2),divide(X0,X0))))),X4) = X1,
inference(forward_demodulation,[],[f16091,f15932]) ).
fof(f15932,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X0)) = divide(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f15931,f14256]) ).
fof(f15931,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(X2,X0),X1) = divide(divide(X2,divide(X3,X4)),divide(divide(X1,X0),divide(X3,X4))),
inference(forward_demodulation,[],[f15725,f14901]) ).
fof(f14901,plain,
! [X2,X3,X0] : divide(divide(X2,X0),X3) = divide(inverse(divide(X0,X2)),X3),
inference(forward_demodulation,[],[f14691,f14274]) ).
fof(f14691,plain,
! [X2,X3,X0,X1] : divide(divide(X2,X0),X3) = divide(inverse(divide(multiply(X0,X1),multiply(X2,X1))),X3),
inference(superposition,[],[f1914,f14239]) ).
fof(f1914,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(multiply(X0,X2),multiply(X1,X2)),divide(X3,divide(divide(X1,X0),X4)))),X4) = X3,
inference(superposition,[],[f1,f1704]) ).
fof(f15725,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X2,divide(X3,X4)),divide(inverse(divide(X0,X1)),divide(X3,X4))) = divide(multiply(X2,X0),X1),
inference(superposition,[],[f1533,f14241]) ).
fof(f1533,plain,
! [X2,X3,X1,X4,X5] : divide(divide(X2,divide(X3,X4)),divide(X1,divide(X3,X4))) = divide(multiply(X2,X5),multiply(X1,X5)),
inference(superposition,[],[f495,f329]) ).
fof(f16091,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,divide(multiply(X2,divide(divide(divide(X3,X3),X2),divide(X0,X0))),X4)),X4) = X1,
inference(superposition,[],[f511,f14260]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X2,divide(X3,divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)))),X4) = X3,
inference(forward_demodulation,[],[f473,f2]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X2,divide(X3,divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)))),X4) = X3,
inference(superposition,[],[f1,f333]) ).
fof(f14241,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[],[f14240,f14239]) ).
fof(f14240,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,X1)),divide(X0,divide(X2,X2))) = X1,
inference(forward_demodulation,[],[f14018,f13747]) ).
fof(f14018,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(divide(X0,X1)),divide(X0,multiply(divide(X2,X2),divide(divide(divide(X3,X3),X4),divide(divide(X5,X5),X4))))) = X1,
inference(superposition,[],[f13747,f13045]) ).
fof(f13045,plain,
! [X0,X1,X6,X5] : multiply(multiply(inverse(divide(X0,X1)),divide(X0,multiply(divide(X5,X5),X6))),X6) = X1,
inference(forward_demodulation,[],[f12761,f7758]) ).
fof(f7758,plain,
! [X3,X0,X1,X6,X4,X5] : multiply(X5,divide(divide(divide(X6,X6),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),X1)) = multiply(X5,divide(X0,X1)),
inference(forward_demodulation,[],[f7656,f2]) ).
fof(f7656,plain,
! [X3,X0,X1,X6,X4,X5] : divide(X5,inverse(divide(X0,X1))) = multiply(X5,divide(divide(divide(X6,X6),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),X1)),
inference(superposition,[],[f1707,f494]) ).
fof(f12761,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(divide(X0,X1)),divide(divide(divide(X2,X2),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),multiply(divide(X5,X5),X6))),X6) = X1,
inference(superposition,[],[f12445,f551]) ).
fof(f17458,plain,
! [X3,X0,X4] : multiply(divide(X3,multiply(inverse(X0),multiply(X0,X4))),X4) = X3,
inference(forward_demodulation,[],[f17457,f15811]) ).
fof(f15811,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = multiply(inverse(X1),multiply(divide(X1,X0),X2)),
inference(forward_demodulation,[],[f15810,f14539]) ).
fof(f14539,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X1,divide(divide(divide(X2,X2),X1),X0)),
inference(superposition,[],[f1741,f14239]) ).
fof(f1741,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X2,divide(divide(X3,X4),divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)))) = X3,
inference(forward_demodulation,[],[f1631,f2]) ).
fof(f1631,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X2,divide(divide(X3,X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)))) = X3,
inference(superposition,[],[f1483,f333]) ).
fof(f15810,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2) = multiply(inverse(X1),multiply(divide(X1,X0),X2)),
inference(forward_demodulation,[],[f15642,f14902]) ).
fof(f14902,plain,
! [X2,X3,X0] : multiply(divide(X2,X0),X3) = multiply(inverse(divide(X0,X2)),X3),
inference(forward_demodulation,[],[f14692,f14274]) ).
fof(f14692,plain,
! [X2,X3,X0,X1] : multiply(divide(X2,X0),X3) = multiply(inverse(divide(multiply(X0,X1),multiply(X2,X1))),X3),
inference(superposition,[],[f1919,f14239]) ).
fof(f1919,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(divide(divide(multiply(X0,X2),multiply(X1,X2)),divide(X3,multiply(divide(X1,X0),X4)))),X4) = X3,
inference(superposition,[],[f12,f1704]) ).
fof(f15642,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2) = multiply(inverse(X1),multiply(inverse(divide(X0,X1)),X2)),
inference(superposition,[],[f14241,f551]) ).
fof(f17457,plain,
! [X3,X0,X1,X4] : multiply(divide(X3,multiply(inverse(X1),multiply(divide(X1,X0),multiply(X0,X4)))),X4) = X3,
inference(forward_demodulation,[],[f17456,f16745]) ).
fof(f16745,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(divide(X1,X2),X3)) = multiply(divide(X0,divide(X2,X1)),X3),
inference(forward_demodulation,[],[f16744,f14274]) ).
fof(f16744,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(divide(X1,X2),X3)) = multiply(divide(X0,divide(multiply(X2,X4),multiply(X1,X4))),X3),
inference(forward_demodulation,[],[f16512,f14903]) ).
fof(f16512,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(divide(X1,X2),X3)) = multiply(inverse(divide(divide(multiply(X2,X4),multiply(X1,X4)),X0)),X3),
inference(superposition,[],[f1919,f16222]) ).
fof(f17456,plain,
! [X3,X0,X1,X4] : multiply(divide(X3,multiply(divide(inverse(X1),divide(X0,X1)),multiply(X0,X4))),X4) = X3,
inference(forward_demodulation,[],[f17455,f16465]) ).
fof(f16465,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X2,X1)) = divide(multiply(multiply(X0,X1),X3),multiply(X2,X3)),
inference(superposition,[],[f1704,f16222]) ).
fof(f17455,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X3,multiply(divide(multiply(multiply(inverse(X1),X1),X2),multiply(X0,X2)),multiply(X0,X4))),X4) = X3,
inference(forward_demodulation,[],[f17454,f16607]) ).
fof(f16607,plain,
! [X2,X0,X1] : divide(X2,multiply(X0,X1)) = divide(divide(X2,X1),X0),
inference(forward_demodulation,[],[f16459,f14256]) ).
fof(f16459,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X2,X1),X0) = divide(divide(X2,divide(X3,X4)),divide(multiply(X0,X1),divide(X3,X4))),
inference(superposition,[],[f1534,f16222]) ).
fof(f1534,plain,
! [X2,X3,X1,X4,X5] : divide(divide(X2,divide(X3,X4)),divide(X1,divide(X3,X4))) = divide(divide(X2,X5),divide(X1,X5)),
inference(superposition,[],[f333,f329]) ).
fof(f17454,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(divide(X3,multiply(X0,X4)),divide(multiply(multiply(inverse(X1),X1),X2),multiply(X0,X2))),X4) = X3,
inference(forward_demodulation,[],[f16936,f14903]) ).
fof(f16936,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(divide(divide(multiply(multiply(inverse(X1),X1),X2),multiply(X0,X2)),divide(X3,multiply(X0,X4)))),X4) = X3,
inference(superposition,[],[f1919,f14485]) ).
fof(f14485,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f14239,f2]) ).
fof(f23321,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(subsumption_resolution,[],[f23320,f16718]) ).
fof(f16718,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f16501,f16321]) ).
fof(f16321,plain,
! [X2,X3,X4] : multiply(X3,X2) = inverse(divide(divide(divide(X4,X4),X2),X3)),
inference(forward_demodulation,[],[f16320,f2]) ).
fof(f16320,plain,
! [X2,X3,X4] : inverse(divide(divide(divide(X4,X4),X2),X3)) = divide(X3,inverse(X2)),
inference(forward_demodulation,[],[f16319,f14903]) ).
fof(f16319,plain,
! [X2,X3,X4] : inverse(divide(inverse(X2),X3)) = inverse(divide(divide(divide(X4,X4),X2),X3)),
inference(forward_demodulation,[],[f16318,f16174]) ).
fof(f16318,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(X4,X4),X2),X3)) = inverse(divide(divide(X1,divide(X2,divide(divide(X0,X0),X1))),X3)),
inference(forward_demodulation,[],[f16143,f15932]) ).
fof(f16143,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(divide(X4,X4),X2),X3)) = inverse(divide(divide(multiply(X1,divide(divide(X0,X0),X1)),X2),X3)),
inference(superposition,[],[f1524,f14260]) ).
fof(f1524,plain,
! [X2,X0,X1,X5] : inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)) = inverse(divide(divide(divide(X5,X5),X1),X2)),
inference(superposition,[],[f329,f452]) ).
fof(f452,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(superposition,[],[f333,f2]) ).
fof(f16501,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(inverse(divide(divide(divide(X3,X3),X1),X0)),X2),
inference(superposition,[],[f12,f16222]) ).
fof(f23320,plain,
! [X0] :
( a2 != multiply(divide(X0,X0),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f22661,f17493]) ).
fof(f17493,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f17492,f14791]) ).
fof(f14791,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(divide(X0,X0),X1)),
inference(superposition,[],[f1639,f14239]) ).
fof(f1639,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X0),X1),divide(divide(X2,X3),divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f1483,f2]) ).
fof(f17492,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(divide(X2,X2),X3)),X3),
inference(forward_demodulation,[],[f17491,f16181]) ).
fof(f16181,plain,
! [X0,X1] : inverse(X1) = divide(inverse(X0),divide(X1,X0)),
inference(forward_demodulation,[],[f16180,f14539]) ).
fof(f16180,plain,
! [X2,X3,X0,X1] : inverse(X1) = divide(multiply(X2,divide(divide(divide(X3,X3),X2),X0)),divide(X1,X0)),
inference(forward_demodulation,[],[f16046,f14903]) ).
fof(f16046,plain,
! [X2,X3,X0,X1] : inverse(X1) = divide(multiply(X2,divide(divide(divide(X3,X3),X2),X0)),inverse(divide(X0,X1))),
inference(superposition,[],[f14260,f494]) ).
fof(f17491,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X1) = multiply(divide(inverse(X0),divide(multiply(divide(X2,X2),X3),X0)),X3),
inference(forward_demodulation,[],[f16942,f15836]) ).
fof(f15836,plain,
! [X2,X3,X0] : divide(X3,divide(X2,X0)) = multiply(X3,divide(X0,X2)),
inference(forward_demodulation,[],[f15835,f14256]) ).
fof(f15835,plain,
! [X2,X3,X0,X4] : divide(divide(X3,X4),divide(divide(X2,X0),X4)) = multiply(X3,divide(X0,X2)),
inference(forward_demodulation,[],[f15661,f14274]) ).
fof(f15661,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X3,X4),divide(divide(X2,X0),X4)) = multiply(X3,divide(multiply(X0,X1),multiply(X2,X1))),
inference(superposition,[],[f14241,f1926]) ).
fof(f16942,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X1) = multiply(multiply(inverse(X0),divide(X0,multiply(divide(X2,X2),X3))),X3),
inference(superposition,[],[f13045,f14485]) ).
fof(f22661,plain,
! [X0] :
( a2 != multiply(divide(X0,X0),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f3,f15604]) ).
fof(f15604,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f14241,f14239]) ).
fof(f3,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.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 04:23:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7325)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (7330)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (7329)WARNING: value z3 for option sas not known
% 0.20/0.37 % (7327)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (7328)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (7329)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (7332)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (7334)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (7333)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.44 TRYING [5]
% 1.59/0.57 TRYING [4]
% 3.01/0.82 % (7334)First to succeed.
% 3.01/0.83 % (7334)Refutation found. Thanks to Tanya!
% 3.01/0.83 % SZS status Unsatisfiable for theBenchmark
% 3.01/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/0.83 % (7334)------------------------------
% 3.01/0.83 % (7334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.01/0.83 % (7334)Termination reason: Refutation
% 3.01/0.83
% 3.01/0.83 % (7334)Memory used [KB]: 12586
% 3.01/0.83 % (7334)Time elapsed: 0.454 s
% 3.01/0.83 % (7334)Instructions burned: 1400 (million)
% 3.01/0.83 % (7334)------------------------------
% 3.01/0.83 % (7334)------------------------------
% 3.01/0.83 % (7325)Success in time 0.461 s
%------------------------------------------------------------------------------