TSTP Solution File: GRP101-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 05:53:24 EDT 2024
% Result : Unsatisfiable 13.64s 2.33s
% Output : Refutation 13.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 5
% Syntax : Number of formulae : 147 ( 140 unt; 0 def)
% Number of atoms : 162 ( 161 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 255 ( 255 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42280,plain,
$false,
inference(trivial_inequality_removal,[],[f42279]) ).
fof(f42279,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(superposition,[],[f42035,f2025]) ).
fof(f2025,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f1852,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f1852,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = multiply(X1,X0),
inference(superposition,[],[f11,f1710]) ).
fof(f1710,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(backward_demodulation,[],[f1645,f1689]) ).
fof(f1689,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f1045,f1687]) ).
fof(f1687,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f1324,f1654]) ).
fof(f1654,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f566,f1648]) ).
fof(f1648,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[],[f1646,f3]) ).
fof(f1646,plain,
! [X0] : double_divide(X0,identity) = multiply(identity,inverse(X0)),
inference(backward_demodulation,[],[f672,f1645]) ).
fof(f672,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
inference(forward_demodulation,[],[f671,f16]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f671,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,inverse(inverse(X0))),
inference(forward_demodulation,[],[f665,f3]) ).
fof(f665,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(inverse(X0),identity)),
inference(superposition,[],[f363,f551]) ).
fof(f551,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f525,f241]) ).
fof(f241,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[],[f240,f16]) ).
fof(f240,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f233,f3]) ).
fof(f233,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(superposition,[],[f71,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f71,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f59,f3]) ).
fof(f59,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f525,plain,
inverse(identity) = double_divide(multiply(identity,inverse(identity)),inverse(identity)),
inference(superposition,[],[f241,f506]) ).
fof(f506,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f475,f247]) ).
fof(f247,plain,
! [X0] : inverse(X0) = double_divide(multiply(identity,multiply(identity,X0)),inverse(identity)),
inference(superposition,[],[f241,f16]) ).
fof(f475,plain,
inverse(inverse(identity)) = double_divide(multiply(identity,multiply(identity,identity)),inverse(identity)),
inference(superposition,[],[f247,f450]) ).
fof(f450,plain,
multiply(identity,identity) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[],[f449,f16]) ).
fof(f449,plain,
inverse(inverse(identity)) = multiply(identity,inverse(identity)),
inference(forward_demodulation,[],[f436,f3]) ).
fof(f436,plain,
multiply(identity,inverse(identity)) = double_divide(inverse(identity),identity),
inference(superposition,[],[f363,f391]) ).
fof(f391,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f385,f3]) ).
fof(f385,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f342,f4]) ).
fof(f342,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f58,f4]) ).
fof(f58,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,inverse(X0)),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f363,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))) = multiply(identity,inverse(X1)),
inference(backward_demodulation,[],[f344,f346]) ).
fof(f346,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)),
inference(superposition,[],[f58,f241]) ).
fof(f344,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(superposition,[],[f58,f71]) ).
fof(f566,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),identity) = X0,
inference(backward_demodulation,[],[f241,f551]) ).
fof(f1324,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(superposition,[],[f2,f1260]) ).
fof(f1260,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[],[f1224,f597]) ).
fof(f597,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(backward_demodulation,[],[f55,f566]) ).
fof(f55,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = double_divide(multiply(identity,inverse(X0)),identity),
inference(superposition,[],[f8,f19]) ).
fof(f19,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f16,f16]) ).
fof(f1224,plain,
! [X0] : multiply(identity,multiply(identity,inverse(X0))) = double_divide(identity,X0),
inference(superposition,[],[f1107,f599]) ).
fof(f599,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(backward_demodulation,[],[f54,f597]) ).
fof(f54,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
inference(superposition,[],[f16,f19]) ).
fof(f1107,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,inverse(X0)),
inference(superposition,[],[f1055,f1010]) ).
fof(f1010,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(superposition,[],[f578,f2]) ).
fof(f578,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity) = X0,
inference(backward_demodulation,[],[f342,f551]) ).
fof(f1055,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(superposition,[],[f597,f1045]) ).
fof(f1045,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[],[f1044,f597]) ).
fof(f1044,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(identity,multiply(identity,X0)),identity),
inference(forward_demodulation,[],[f1043,f16]) ).
fof(f1043,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(identity,inverse(inverse(X0))),identity),
inference(forward_demodulation,[],[f1037,f672]) ).
fof(f1037,plain,
! [X0] : multiply(identity,X0) = multiply(double_divide(identity,multiply(identity,inverse(X0))),identity),
inference(superposition,[],[f1010,f19]) ).
fof(f1645,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,multiply(identity,X0)),
inference(forward_demodulation,[],[f1644,f597]) ).
fof(f1644,plain,
! [X0,X1] : double_divide(X1,multiply(identity,X0)) = multiply(identity,multiply(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f1643,f1107]) ).
fof(f1643,plain,
! [X0,X1] : multiply(identity,multiply(identity,double_divide(X0,X1))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[],[f1624,f16]) ).
fof(f1624,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,inverse(X0))) = multiply(identity,inverse(inverse(double_divide(X0,X1)))),
inference(superposition,[],[f366,f1598]) ).
fof(f1598,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f1587,f590]) ).
fof(f590,plain,
identity = multiply(identity,identity),
inference(backward_demodulation,[],[f399,f551]) ).
fof(f399,plain,
inverse(identity) = multiply(inverse(identity),inverse(identity)),
inference(superposition,[],[f11,f391]) ).
fof(f1587,plain,
! [X0] : multiply(identity,identity) = double_divide(inverse(X0),X0),
inference(superposition,[],[f1138,f1517]) ).
fof(f1517,plain,
! [X0] : identity = multiply(double_divide(inverse(X0),X0),identity),
inference(superposition,[],[f1449,f1260]) ).
fof(f1449,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X1),identity) = X0,
inference(backward_demodulation,[],[f837,f1445]) ).
fof(f1445,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0) = X1,
inference(forward_demodulation,[],[f1444,f597]) ).
fof(f1444,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0) = multiply(identity,multiply(identity,X1)),
inference(forward_demodulation,[],[f1443,f16]) ).
fof(f1443,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0) = multiply(identity,inverse(inverse(X1))),
inference(forward_demodulation,[],[f1388,f19]) ).
fof(f1388,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0) = inverse(multiply(identity,inverse(X1))),
inference(superposition,[],[f11,f366]) ).
fof(f837,plain,
! [X2,X3,X0,X1] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)),identity) = X0,
inference(superposition,[],[f561,f2]) ).
fof(f561,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X3,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0))),identity) = X3,
inference(backward_demodulation,[],[f75,f551]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X3,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),X0))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f62,f11]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X3,X1),inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)))))),inverse(identity)) = X3,
inference(superposition,[],[f7,f7]) ).
fof(f1138,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[],[f1121,f1045]) ).
fof(f1121,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f1010,f1107]) ).
fof(f366,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))) = multiply(identity,inverse(X1)),
inference(backward_demodulation,[],[f343,f346]) ).
fof(f343,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(superposition,[],[f58,f7]) ).
fof(f42035,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f42034]) ).
fof(f42034,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(superposition,[],[f1721,f11228]) ).
fof(f11228,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f11096,f1852]) ).
fof(f11096,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f1897,f10588]) ).
fof(f10588,plain,
! [X2,X0,X1] : multiply(X0,X1) = double_divide(double_divide(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f10327,f1708]) ).
fof(f1708,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(backward_demodulation,[],[f1535,f1689]) ).
fof(f1535,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(double_divide(X0,X1),X1),
inference(superposition,[],[f1055,f1449]) ).
fof(f10327,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(X0,multiply(X2,X1)),X2),
inference(backward_demodulation,[],[f2317,f10324]) ).
fof(f10324,plain,
! [X2,X0,X1] : double_divide(X2,multiply(X1,X0)) = double_divide(multiply(X0,X2),X1),
inference(forward_demodulation,[],[f10189,f2032]) ).
fof(f2032,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(superposition,[],[f1698,f1852]) ).
fof(f1698,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f16,f1689]) ).
fof(f10189,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,X0))) = double_divide(multiply(X0,X2),X1),
inference(superposition,[],[f6655,f2661]) ).
fof(f2661,plain,
! [X2,X0,X1] : multiply(double_divide(X1,X0),multiply(X2,multiply(X0,X1))) = X2,
inference(superposition,[],[f2605,f1713]) ).
fof(f1713,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f15,f1689]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f2605,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f2309,f1749]) ).
fof(f1749,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f1673,f1689]) ).
fof(f1673,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(multiply(identity,X0),X1)),
inference(backward_demodulation,[],[f1398,f1648]) ).
fof(f1398,plain,
! [X0,X1] : multiply(identity,inverse(X1)) = double_divide(inverse(X0),multiply(multiply(identity,X0),X1)),
inference(forward_demodulation,[],[f1397,f11]) ).
fof(f1397,plain,
! [X0,X1] : multiply(identity,inverse(X1)) = double_divide(inverse(X0),inverse(double_divide(X1,multiply(identity,X0)))),
inference(forward_demodulation,[],[f1396,f3]) ).
fof(f1396,plain,
! [X0,X1] : multiply(identity,inverse(X1)) = double_divide(inverse(X0),double_divide(double_divide(X1,multiply(identity,X0)),identity)),
inference(forward_demodulation,[],[f1366,f551]) ).
fof(f1366,plain,
! [X0,X1] : multiply(identity,inverse(X1)) = double_divide(inverse(X0),double_divide(double_divide(X1,multiply(identity,X0)),inverse(identity))),
inference(superposition,[],[f366,f1107]) ).
fof(f2309,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(backward_demodulation,[],[f1445,f2239]) ).
fof(f2239,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)) = double_divide(inverse(X1),X0),
inference(superposition,[],[f1855,f1652]) ).
fof(f1652,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))) = inverse(X1),
inference(backward_demodulation,[],[f366,f1648]) ).
fof(f1855,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f1708,f1710]) ).
fof(f6655,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X1,multiply(double_divide(X1,X2),X0)),X2),
inference(forward_demodulation,[],[f6654,f2626]) ).
fof(f2626,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(forward_demodulation,[],[f2590,f11]) ).
fof(f2590,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f1749,f1833]) ).
fof(f1833,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1827,f3]) ).
fof(f1827,plain,
! [X0,X1] : double_divide(X0,identity) = multiply(X1,double_divide(X0,X1)),
inference(superposition,[],[f2,f1708]) ).
fof(f6654,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X1,double_divide(inverse(double_divide(X1,X2)),inverse(X0))),X2),
inference(forward_demodulation,[],[f6653,f2674]) ).
fof(f2674,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(superposition,[],[f2605,f2309]) ).
fof(f6653,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X1,multiply(inverse(inverse(X0)),double_divide(X1,X2))),X2),
inference(forward_demodulation,[],[f6489,f1689]) ).
fof(f6489,plain,
! [X2,X0,X1] : inverse(X0) = double_divide(multiply(X1,multiply(inverse(inverse(X0)),double_divide(X1,X2))),multiply(identity,X2)),
inference(superposition,[],[f3537,f4]) ).
fof(f3537,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(multiply(X2,multiply(X1,double_divide(X2,X0))),multiply(double_divide(inverse(X3),X1),X0)),
inference(backward_demodulation,[],[f3525,f3489]) ).
fof(f3489,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(superposition,[],[f2626,f2032]) ).
fof(f3525,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(double_divide(inverse(X2),double_divide(X1,double_divide(X2,X0))),multiply(double_divide(inverse(X3),X1),X0)),
inference(forward_demodulation,[],[f3521,f2674]) ).
fof(f3521,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(double_divide(inverse(X2),double_divide(X1,double_divide(X2,X0))),multiply(multiply(inverse(X1),X3),X0)),
inference(backward_demodulation,[],[f1754,f3483]) ).
fof(f3483,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f2626,f2032]) ).
fof(f1754,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(double_divide(inverse(X2),double_divide(X1,double_divide(X2,X0))),double_divide(double_divide(inverse(X1),X3),inverse(X0))),
inference(forward_demodulation,[],[f1753,f1710]) ).
fof(f1753,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),double_divide(double_divide(inverse(X1),X3),inverse(X0))),
inference(forward_demodulation,[],[f1677,f1713]) ).
fof(f1677,plain,
! [X2,X3,X0,X1] : inverse(X3) = double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),double_divide(inverse(multiply(X3,inverse(X1))),inverse(X0))),
inference(backward_demodulation,[],[f1429,f1648]) ).
fof(f1429,plain,
! [X2,X3,X0,X1] : multiply(identity,inverse(X3)) = double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),double_divide(inverse(multiply(X3,inverse(X1))),inverse(X0))),
inference(backward_demodulation,[],[f1362,f1424]) ).
fof(f1424,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = double_divide(X1,multiply(identity,X0)),
inference(forward_demodulation,[],[f1423,f11]) ).
fof(f1423,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,X1))) = double_divide(X1,multiply(identity,X0)),
inference(forward_demodulation,[],[f1422,f1107]) ).
fof(f1422,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,X1))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[],[f1421,f597]) ).
fof(f1421,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,inverse(X0))) = multiply(identity,multiply(identity,inverse(inverse(double_divide(X0,X1))))),
inference(forward_demodulation,[],[f1377,f19]) ).
fof(f1377,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,inverse(X0))) = multiply(identity,inverse(multiply(identity,inverse(double_divide(X0,X1))))),
inference(superposition,[],[f366,f598]) ).
fof(f598,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(backward_demodulation,[],[f53,f597]) ).
fof(f53,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(superposition,[],[f22,f19]) ).
fof(f22,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f1362,plain,
! [X2,X3,X0,X1] : multiply(identity,inverse(X3)) = double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)),double_divide(double_divide(X3,multiply(identity,inverse(X1))),inverse(X0))),
inference(superposition,[],[f366,f366]) ).
fof(f2317,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(superposition,[],[f2309,f11]) ).
fof(f1897,plain,
! [X0,X1] : inverse(X1) = multiply(double_divide(X1,X0),X0),
inference(forward_demodulation,[],[f1890,f3]) ).
fof(f1890,plain,
! [X0,X1] : double_divide(X1,identity) = multiply(double_divide(X1,X0),X0),
inference(superposition,[],[f2,f1841]) ).
fof(f1841,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f1710,f1708]) ).
fof(f1721,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f1720]) ).
fof(f1720,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f596,f1689]) ).
fof(f596,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f553]) ).
fof(f553,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f14,f551]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f13,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP101-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 20:47:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.37 % (19233)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (19236)WARNING: value z3 for option sas not known
% 0.20/0.38 % (19236)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)
% 0.20/0.38 % (19235)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (19238)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)
% 0.20/0.38 % (19237)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (19240)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)
% 0.20/0.38 % (19239)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (19234)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [3]
% 0.20/0.41 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.46 TRYING [6]
% 4.28/0.99 TRYING [7]
% 4.28/1.00 TRYING [5]
% 7.85/1.48 TRYING [1]
% 7.85/1.48 TRYING [2]
% 7.85/1.48 TRYING [3]
% 7.85/1.49 TRYING [4]
% 7.85/1.51 TRYING [5]
% 8.35/1.59 TRYING [6]
% 12.53/2.20 TRYING [7]
% 13.64/2.32 % (19239)First to succeed.
% 13.64/2.32 % (19239)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19233"
% 13.64/2.33 % (19239)Refutation found. Thanks to Tanya!
% 13.64/2.33 % SZS status Unsatisfiable for theBenchmark
% 13.64/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 13.64/2.33 % (19239)------------------------------
% 13.64/2.33 % (19239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.64/2.33 % (19239)Termination reason: Refutation
% 13.64/2.33
% 13.64/2.33 % (19239)Memory used [KB]: 29457
% 13.64/2.33 % (19239)Time elapsed: 1.936 s
% 13.64/2.33 % (19239)Instructions burned: 4219 (million)
% 13.64/2.33 % (19233)Success in time 1.936 s
%------------------------------------------------------------------------------