TSTP Solution File: GRP201-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP201-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 05:54:01 EDT 2024
% Result : Unsatisfiable 227.92s 32.98s
% Output : Refutation 227.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 276 ( 276 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1122410,plain,
$false,
inference(trivial_inequality_removal,[],[f1121570]) ).
fof(f1121570,plain,
multiply(a,multiply(b,multiply(a,c))) != multiply(a,multiply(b,multiply(a,c))),
inference(superposition,[],[f119,f563366]) ).
fof(f563366,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,X1)),X2) = multiply(X1,multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f562111,f1317]) ).
fof(f1317,plain,
! [X0,X1] : multiply(X0,X1) = left_division(right_inverse(X0),X1),
inference(superposition,[],[f4,f1247]) ).
fof(f1247,plain,
! [X0,X1] : multiply(right_inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f1196,f166]) ).
fof(f166,plain,
! [X0] : right_inverse(X0) = left_inverse(X0),
inference(forward_demodulation,[],[f160,f22]) ).
fof(f22,plain,
! [X0] : right_inverse(X0) = left_division(X0,identity),
inference(superposition,[],[f4,f7]) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,right_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f160,plain,
! [X0] : left_inverse(X0) = left_division(X0,identity),
inference(superposition,[],[f4,f143]) ).
fof(f143,plain,
! [X0] : identity = multiply(X0,left_inverse(X0)),
inference(superposition,[],[f139,f33]) ).
fof(f33,plain,
! [X0] : right_inverse(left_inverse(X0)) = X0,
inference(superposition,[],[f23,f22]) ).
fof(f23,plain,
! [X0] : left_division(left_inverse(X0),identity) = X0,
inference(superposition,[],[f4,f8]) ).
fof(f8,axiom,
! [X0] : identity = multiply(left_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f139,plain,
! [X0] : identity = multiply(right_inverse(X0),X0),
inference(forward_demodulation,[],[f133,f21]) ).
fof(f21,plain,
! [X0] : identity = left_division(X0,X0),
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f133,plain,
! [X0] : left_division(X0,X0) = multiply(right_inverse(X0),X0),
inference(superposition,[],[f4,f124]) ).
fof(f124,plain,
! [X0] : multiply(X0,multiply(right_inverse(X0),X0)) = X0,
inference(forward_demodulation,[],[f110,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f110,plain,
! [X0] : multiply(identity,X0) = multiply(X0,multiply(right_inverse(X0),X0)),
inference(superposition,[],[f101,f7]) ).
fof(f101,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f86,plain,
! [X0,X1] : multiply(identity,multiply(X0,multiply(X1,X0))) = multiply(multiply(X0,X1),X0),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang2) ).
fof(f1196,plain,
! [X0,X1] : multiply(left_inverse(X1),multiply(X1,X0)) = X0,
inference(superposition,[],[f102,f5]) ).
fof(f5,axiom,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_right_division) ).
fof(f102,plain,
! [X0,X1] : multiply(X1,X0) = multiply(left_inverse(X0),multiply(X0,multiply(X1,X0))),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f89,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,multiply(X1,X0))) = multiply(multiply(identity,X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f562111,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,X1)),X2) = multiply(X1,left_division(right_inverse(X0),multiply(X1,X2))),
inference(superposition,[],[f396124,f1317]) ).
fof(f396124,plain,
! [X2,X0,X1] : multiply(multiply(X0,left_division(X2,X0)),X1) = multiply(X0,left_division(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f396123,f6378]) ).
fof(f6378,plain,
! [X2,X0,X1] : multiply(X2,left_division(X0,X1)) = right_division(X2,left_division(X1,X0)),
inference(superposition,[],[f5860,f5878]) ).
fof(f5878,plain,
! [X0,X1] : left_division(X1,X0) = right_inverse(left_division(X0,X1)),
inference(forward_demodulation,[],[f5821,f1289]) ).
fof(f1289,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(superposition,[],[f1247,f3]) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f5821,plain,
! [X0,X1] : left_division(X1,X0) = right_inverse(multiply(right_inverse(X0),X1)),
inference(superposition,[],[f5793,f1328]) ).
fof(f1328,plain,
! [X0,X1] : multiply(X0,multiply(right_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1285,f166]) ).
fof(f1285,plain,
! [X0,X1] : multiply(X0,multiply(left_inverse(X0),X1)) = X1,
inference(superposition,[],[f1247,f33]) ).
fof(f5793,plain,
! [X0,X1] : right_inverse(X0) = left_division(multiply(X1,X0),X1),
inference(forward_demodulation,[],[f5792,f111]) ).
fof(f111,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,multiply(left_division(X0,X1),X0)),
inference(superposition,[],[f101,f3]) ).
fof(f5792,plain,
! [X0,X1] : right_inverse(X0) = left_division(multiply(X0,multiply(left_division(X0,X1),X0)),X1),
inference(forward_demodulation,[],[f5791,f3988]) ).
fof(f3988,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X0,right_division(X1,right_inverse(X0))),
inference(forward_demodulation,[],[f3987,f3487]) ).
fof(f3487,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = right_division(multiply(X0,X1),right_inverse(X0)),
inference(forward_demodulation,[],[f3486,f101]) ).
fof(f3486,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = right_division(multiply(X0,X1),right_inverse(X0)),
inference(forward_demodulation,[],[f3485,f95]) ).
fof(f95,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = right_division(multiply(X0,multiply(X1,multiply(X2,X1))),X1),
inference(superposition,[],[f6,f9]) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_division_multiply) ).
fof(f3485,plain,
! [X0,X1] : right_division(multiply(X0,X1),right_inverse(X0)) = right_division(multiply(X0,multiply(X1,multiply(X0,X1))),X1),
inference(forward_demodulation,[],[f3412,f2819]) ).
fof(f2819,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiply(X1,X0)) = multiply(X1,multiply(X0,multiply(X1,X0))),
inference(forward_demodulation,[],[f2759,f1317]) ).
fof(f2759,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiply(X1,X0)) = left_division(right_inverse(X1),multiply(X0,multiply(X1,X0))),
inference(superposition,[],[f998,f1318]) ).
fof(f1318,plain,
! [X0,X1] : right_inverse(X0) = right_division(X1,multiply(X0,X1)),
inference(superposition,[],[f6,f1247]) ).
fof(f998,plain,
! [X0,X1] : multiply(X1,X1) = left_division(right_division(X0,X1),multiply(X0,X1)),
inference(superposition,[],[f4,f266]) ).
fof(f266,plain,
! [X0,X1] : multiply(X0,X1) = multiply(right_division(X0,X1),multiply(X1,X1)),
inference(superposition,[],[f103,f5]) ).
fof(f103,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f91,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(identity,X1))) = multiply(multiply(X0,X1),X1),
inference(superposition,[],[f9,f2]) ).
fof(f3412,plain,
! [X0,X1] : right_division(multiply(X0,X1),right_inverse(X0)) = right_division(multiply(multiply(X0,X1),multiply(X0,X1)),X1),
inference(superposition,[],[f1645,f1247]) ).
fof(f1645,plain,
! [X0,X1] : right_division(X1,X0) = right_division(multiply(X1,X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f1616,f1513]) ).
fof(f1513,plain,
! [X0,X1] : right_division(X1,X0) = right_inverse(right_division(X0,X1)),
inference(superposition,[],[f6,f1301]) ).
fof(f1301,plain,
! [X0,X1] : multiply(right_inverse(right_division(X0,X1)),X0) = X1,
inference(superposition,[],[f1247,f5]) ).
fof(f1616,plain,
! [X0,X1] : right_inverse(right_division(X0,X1)) = right_division(multiply(X1,X1),multiply(X0,X1)),
inference(superposition,[],[f1318,f266]) ).
fof(f3987,plain,
! [X0,X1] : right_division(multiply(X0,X1),right_inverse(X0)) = multiply(X0,right_division(X1,right_inverse(X0))),
inference(forward_demodulation,[],[f3912,f1317]) ).
fof(f3912,plain,
! [X0,X1] : multiply(X0,right_division(X1,right_inverse(X0))) = right_division(left_division(right_inverse(X0),X1),right_inverse(X0)),
inference(superposition,[],[f1328,f2565]) ).
fof(f2565,plain,
! [X0,X1] : right_division(X1,X0) = multiply(X0,right_division(left_division(X0,X1),X0)),
inference(forward_demodulation,[],[f2510,f1289]) ).
fof(f2510,plain,
! [X0,X1] : right_division(X1,X0) = multiply(X0,right_division(multiply(right_inverse(X0),X1),X0)),
inference(superposition,[],[f423,f1328]) ).
fof(f423,plain,
! [X0,X1] : multiply(X1,right_division(X0,X1)) = right_division(multiply(X1,X0),X1),
inference(superposition,[],[f121,f5]) ).
fof(f121,plain,
! [X0,X1] : multiply(X0,X1) = right_division(multiply(X0,multiply(X1,X0)),X0),
inference(superposition,[],[f6,f101]) ).
fof(f5791,plain,
! [X0,X1] : right_inverse(X0) = left_division(multiply(X0,right_division(left_division(X0,X1),right_inverse(X0))),X1),
inference(forward_demodulation,[],[f5671,f1317]) ).
fof(f5671,plain,
! [X0,X1] : right_inverse(X0) = left_division(left_division(right_inverse(X0),right_division(left_division(X0,X1),right_inverse(X0))),X1),
inference(superposition,[],[f3678,f1393]) ).
fof(f1393,plain,
! [X0,X1] : left_division(right_inverse(X0),left_division(X0,X1)) = X1,
inference(superposition,[],[f4,f1289]) ).
fof(f3678,plain,
! [X0,X1] : left_division(left_division(X0,right_division(X1,X0)),left_division(X0,X1)) = X0,
inference(superposition,[],[f4,f2423]) ).
fof(f2423,plain,
! [X0,X1] : left_division(X1,X0) = multiply(left_division(X1,right_division(X0,X1)),X1),
inference(superposition,[],[f400,f5]) ).
fof(f400,plain,
! [X0,X1] : multiply(left_division(X0,X1),X0) = left_division(X0,multiply(X1,X0)),
inference(superposition,[],[f4,f111]) ).
fof(f5860,plain,
! [X0,X1] : multiply(X0,X1) = right_division(X0,right_inverse(X1)),
inference(superposition,[],[f44,f5793]) ).
fof(f44,plain,
! [X0,X1] : right_division(X1,left_division(X0,X1)) = X0,
inference(superposition,[],[f6,f3]) ).
fof(f396123,plain,
! [X2,X0,X1] : multiply(multiply(X0,left_division(X2,X0)),X1) = right_division(X0,left_division(multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f396122,f5965]) ).
fof(f5965,plain,
! [X0,X1] : multiply(X0,left_division(X1,X0)) = multiply(right_division(X0,X1),X0),
inference(forward_demodulation,[],[f5942,f1289]) ).
fof(f5942,plain,
! [X0,X1] : multiply(right_division(X0,X1),X0) = multiply(X0,multiply(right_inverse(X1),X0)),
inference(superposition,[],[f111,f5838]) ).
fof(f5838,plain,
! [X0,X1] : right_inverse(X1) = left_division(X0,right_division(X0,X1)),
inference(superposition,[],[f5793,f5]) ).
fof(f396122,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = multiply(multiply(right_division(X0,X2),X0),X1),
inference(forward_demodulation,[],[f396121,f1911]) ).
fof(f1911,plain,
! [X2,X0,X1] : left_division(right_division(X0,X1),X2) = multiply(right_division(X1,X0),X2),
inference(superposition,[],[f1289,f1513]) ).
fof(f396121,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = multiply(left_division(right_division(X2,X0),X0),X1),
inference(forward_demodulation,[],[f396120,f6373]) ).
fof(f6373,plain,
! [X2,X0,X1] : left_division(left_division(X0,X1),X2) = multiply(left_division(X1,X0),X2),
inference(superposition,[],[f1289,f5878]) ).
fof(f396120,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = left_division(left_division(X0,right_division(X2,X0)),X1),
inference(forward_demodulation,[],[f396119,f16496]) ).
fof(f16496,plain,
! [X2,X0,X1] : left_division(X0,X1) = right_division(X2,multiply(left_division(X1,X0),X2)),
inference(superposition,[],[f6,f6372]) ).
fof(f6372,plain,
! [X2,X0,X1] : multiply(left_division(X1,X0),multiply(left_division(X0,X1),X2)) = X2,
inference(superposition,[],[f1247,f5878]) ).
fof(f396119,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = right_division(X2,multiply(left_division(X1,left_division(X0,right_division(X2,X0))),X2)),
inference(forward_demodulation,[],[f396118,f394509]) ).
fof(f394509,plain,
! [X2,X0,X1] : multiply(left_division(multiply(X0,X1),X2),multiply(X1,left_division(multiply(X0,X1),X2))) = multiply(left_division(X1,left_division(X0,right_division(X2,X0))),X2),
inference(forward_demodulation,[],[f394508,f10502]) ).
fof(f10502,plain,
! [X2,X0,X1] : right_division(left_division(multiply(X1,X0),X2),X1) = left_division(X0,left_division(X1,right_division(X2,X1))),
inference(forward_demodulation,[],[f10501,f3679]) ).
fof(f3679,plain,
! [X0,X1] : left_division(X0,right_division(X1,X0)) = right_division(left_division(X0,X1),X0),
inference(superposition,[],[f6,f2423]) ).
fof(f10501,plain,
! [X2,X0,X1] : right_division(left_division(multiply(X1,X0),X2),X1) = left_division(X0,right_division(left_division(X1,X2),X1)),
inference(forward_demodulation,[],[f10500,f1289]) ).
fof(f10500,plain,
! [X2,X0,X1] : right_division(left_division(multiply(X1,X0),X2),X1) = multiply(right_inverse(X0),right_division(left_division(X1,X2),X1)),
inference(forward_demodulation,[],[f10499,f5940]) ).
fof(f5940,plain,
! [X0,X1] : right_division(X0,X1) = multiply(X0,right_inverse(X1)),
inference(superposition,[],[f3,f5838]) ).
fof(f10499,plain,
! [X2,X0,X1] : right_division(left_division(multiply(X1,X0),X2),X1) = multiply(right_inverse(X0),multiply(left_division(X1,X2),right_inverse(X1))),
inference(forward_demodulation,[],[f10498,f1396]) ).
fof(f1396,plain,
! [X0,X1] : multiply(right_inverse(X0),multiply(X1,right_inverse(X0))) = multiply(left_division(X0,X1),right_inverse(X0)),
inference(superposition,[],[f101,f1289]) ).
fof(f10498,plain,
! [X2,X0,X1] : multiply(right_inverse(X0),multiply(right_inverse(X1),multiply(X2,right_inverse(X1)))) = right_division(left_division(multiply(X1,X0),X2),X1),
inference(forward_demodulation,[],[f10497,f1289]) ).
fof(f10497,plain,
! [X2,X0,X1] : multiply(right_inverse(X0),multiply(right_inverse(X1),multiply(X2,right_inverse(X1)))) = right_division(multiply(right_inverse(multiply(X1,X0)),X2),X1),
inference(forward_demodulation,[],[f10404,f5940]) ).
fof(f10404,plain,
! [X2,X0,X1] : multiply(right_inverse(X0),multiply(right_inverse(X1),multiply(X2,right_inverse(X1)))) = multiply(multiply(right_inverse(multiply(X1,X0)),X2),right_inverse(X1)),
inference(superposition,[],[f9,f7570]) ).
fof(f7570,plain,
! [X0,X1] : right_inverse(multiply(X0,X1)) = multiply(right_inverse(X1),right_inverse(X0)),
inference(forward_demodulation,[],[f7569,f6483]) ).
fof(f6483,plain,
! [X0,X1] : right_inverse(X1) = multiply(right_inverse(X0),right_division(X0,X1)),
inference(superposition,[],[f1247,f5940]) ).
fof(f7569,plain,
! [X0,X1] : multiply(right_inverse(X1),right_inverse(X0)) = multiply(right_inverse(X0),right_division(X0,multiply(X0,X1))),
inference(forward_demodulation,[],[f7568,f5971]) ).
fof(f5971,plain,
! [X0,X1] : right_division(X0,multiply(X0,X1)) = right_division(right_division(X0,X1),X0),
inference(forward_demodulation,[],[f5970,f5940]) ).
fof(f5970,plain,
! [X0,X1] : right_division(right_division(X0,X1),X0) = multiply(X0,right_inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f5947,f5864]) ).
fof(f5864,plain,
! [X0,X1] : right_inverse(multiply(X0,X1)) = right_division(right_inverse(X1),X0),
inference(superposition,[],[f1394,f5793]) ).
fof(f1394,plain,
! [X0,X1] : right_inverse(X0) = right_division(left_division(X0,X1),X1),
inference(superposition,[],[f6,f1289]) ).
fof(f5947,plain,
! [X0,X1] : right_division(right_division(X0,X1),X0) = multiply(X0,right_division(right_inverse(X1),X0)),
inference(superposition,[],[f2565,f5838]) ).
fof(f7568,plain,
! [X0,X1] : multiply(right_inverse(X1),right_inverse(X0)) = multiply(right_inverse(X0),right_division(right_division(X0,X1),X0)),
inference(forward_demodulation,[],[f7532,f5940]) ).
fof(f7532,plain,
! [X0,X1] : multiply(right_inverse(X1),right_inverse(X0)) = multiply(right_inverse(X0),multiply(right_division(X0,X1),right_inverse(X0))),
inference(superposition,[],[f111,f5944]) ).
fof(f5944,plain,
! [X0,X1] : right_division(X0,X1) = left_division(right_inverse(X0),right_inverse(X1)),
inference(superposition,[],[f1393,f5838]) ).
fof(f394508,plain,
! [X2,X0,X1] : multiply(left_division(multiply(X0,X1),X2),multiply(X1,left_division(multiply(X0,X1),X2))) = multiply(right_division(left_division(multiply(X0,X1),X2),X0),X2),
inference(forward_demodulation,[],[f394507,f7164]) ).
fof(f7164,plain,
! [X0,X1] : left_division(X1,X0) = multiply(X0,left_division(multiply(X1,X0),X0)),
inference(forward_demodulation,[],[f7163,f1289]) ).
fof(f7163,plain,
! [X0,X1] : multiply(right_inverse(X1),X0) = multiply(X0,left_division(multiply(X1,X0),X0)),
inference(forward_demodulation,[],[f7107,f1289]) ).
fof(f7107,plain,
! [X0,X1] : multiply(right_inverse(X1),X0) = multiply(X0,multiply(right_inverse(multiply(X1,X0)),X0)),
inference(superposition,[],[f111,f5848]) ).
fof(f5848,plain,
! [X0,X1] : right_inverse(multiply(X0,X1)) = left_division(X1,right_inverse(X0)),
inference(superposition,[],[f5793,f1247]) ).
fof(f394507,plain,
! [X2,X0,X1] : multiply(multiply(X2,left_division(multiply(multiply(X0,X1),X2),X2)),multiply(X1,multiply(X2,left_division(multiply(multiply(X0,X1),X2),X2)))) = multiply(right_division(multiply(X2,left_division(multiply(multiply(X0,X1),X2),X2)),X0),X2),
inference(forward_demodulation,[],[f394506,f1289]) ).
fof(f394506,plain,
! [X2,X0,X1] : multiply(multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2)),multiply(X1,multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2)))) = multiply(right_division(multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2)),X0),X2),
inference(forward_demodulation,[],[f393481,f1911]) ).
fof(f393481,plain,
! [X2,X0,X1] : multiply(multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2)),multiply(X1,multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2)))) = left_division(right_division(X0,multiply(X2,multiply(right_inverse(multiply(multiply(X0,X1),X2)),X2))),X2),
inference(superposition,[],[f64134,f104]) ).
fof(f104,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(right_inverse(multiply(X0,X1)),X1))) = X1,
inference(forward_demodulation,[],[f92,f1]) ).
fof(f92,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X1,multiply(right_inverse(multiply(X0,X1)),X1))),
inference(superposition,[],[f9,f7]) ).
fof(f64134,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X1)) = left_division(right_division(X0,X1),multiply(multiply(X0,X2),X1)),
inference(superposition,[],[f4,f88]) ).
fof(f88,plain,
! [X2,X0,X1] : multiply(right_division(X0,X1),multiply(X1,multiply(X2,X1))) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f9,f5]) ).
fof(f396118,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = right_division(X2,multiply(left_division(multiply(X0,X1),X2),multiply(X1,left_division(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f396117,f370753]) ).
fof(f370753,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),multiply(X2,left_division(X0,X1))) = left_division(X0,multiply(multiply(X1,X2),left_division(X0,X1))),
inference(superposition,[],[f4,f85]) ).
fof(f85,plain,
! [X2,X0,X1] : multiply(X0,multiply(left_division(X0,X1),multiply(X2,left_division(X0,X1)))) = multiply(multiply(X1,X2),left_division(X0,X1)),
inference(superposition,[],[f9,f3]) ).
fof(f396117,plain,
! [X2,X0,X1] : right_division(X0,left_division(multiply(X0,X1),X2)) = right_division(X2,left_division(multiply(X0,X1),multiply(multiply(X2,X1),left_division(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f396116,f1289]) ).
fof(f396116,plain,
! [X2,X0,X1] : right_division(X0,multiply(right_inverse(multiply(X0,X1)),X2)) = right_division(X2,left_division(multiply(X0,X1),multiply(multiply(X2,X1),multiply(right_inverse(multiply(X0,X1)),X2)))),
inference(forward_demodulation,[],[f396115,f1289]) ).
fof(f396115,plain,
! [X2,X0,X1] : right_division(X0,multiply(right_inverse(multiply(X0,X1)),X2)) = right_division(X2,multiply(right_inverse(multiply(X0,X1)),multiply(multiply(X2,X1),multiply(right_inverse(multiply(X0,X1)),X2)))),
inference(forward_demodulation,[],[f395230,f371865]) ).
fof(f371865,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))) = multiply(X0,multiply(multiply(X1,X2),multiply(X0,X1))),
inference(forward_demodulation,[],[f370909,f1317]) ).
fof(f370909,plain,
! [X2,X0,X1] : multiply(left_division(right_inverse(X0),X1),multiply(X2,left_division(right_inverse(X0),X1))) = multiply(X0,multiply(multiply(X1,X2),left_division(right_inverse(X0),X1))),
inference(superposition,[],[f1328,f85]) ).
fof(f395230,plain,
! [X2,X0,X1] : right_division(X0,multiply(right_inverse(multiply(X0,X1)),X2)) = right_division(X2,multiply(multiply(right_inverse(multiply(X0,X1)),X2),multiply(X1,multiply(right_inverse(multiply(X0,X1)),X2)))),
inference(superposition,[],[f64135,f1328]) ).
fof(f64135,plain,
! [X2,X0,X1] : right_division(X0,X1) = right_division(multiply(multiply(X0,X2),X1),multiply(X1,multiply(X2,X1))),
inference(superposition,[],[f6,f88]) ).
fof(f119,plain,
multiply(a,multiply(b,multiply(a,c))) != multiply(multiply(a,multiply(b,a)),c),
inference(superposition,[],[f10,f101]) ).
fof(f10,axiom,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP201-1 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:38:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (12418)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (12421)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (12422)WARNING: value z3 for option sas not known
% 0.15/0.38 % (12420)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (12422)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)
% 0.15/0.38 % (12423)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (12424)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)
% 0.15/0.38 % (12426)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)
% 0.15/0.38 % (12427)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.43 TRYING [6]
% 0.22/0.48 TRYING [5]
% 0.22/0.51 TRYING [7]
% 1.87/0.61 TRYING [8]
% 2.11/0.70 TRYING [6]
% 3.98/0.91 TRYING [9]
% 7.82/1.47 TRYING [1]
% 7.82/1.47 TRYING [2]
% 7.82/1.47 TRYING [3]
% 7.82/1.47 TRYING [4]
% 8.01/1.48 TRYING [5]
% 8.01/1.52 TRYING [6]
% 8.32/1.54 TRYING [10]
% 8.43/1.59 TRYING [7]
% 8.43/1.60 TRYING [7]
% 10.42/1.83 TRYING [8]
% 13.81/2.34 TRYING [9]
% 24.47/3.90 TRYING [11]
% 27.69/4.29 TRYING [10]
% 61.41/9.14 TRYING [8]
% 63.52/9.46 TRYING [11]
% 148.90/21.68 TRYING [12]
% 171.70/24.93 TRYING [12]
% 227.17/32.93 % (12427)First to succeed.
% 227.66/32.94 % (12427)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12418"
% 227.92/32.98 % (12427)Refutation found. Thanks to Tanya!
% 227.92/32.98 % SZS status Unsatisfiable for theBenchmark
% 227.92/32.98 % SZS output start Proof for theBenchmark
% See solution above
% 227.92/32.98 % (12427)------------------------------
% 227.92/32.98 % (12427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 227.92/32.98 % (12427)Termination reason: Refutation
% 227.92/32.98
% 227.92/32.98 % (12427)Memory used [KB]: 392051
% 227.92/32.98 % (12427)Time elapsed: 32.561 s
% 227.92/32.98 % (12427)Instructions burned: 66222 (million)
% 227.92/32.98 % (12418)Success in time 32.426 s
%------------------------------------------------------------------------------