TSTP Solution File: GRP080-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 16:20:03 EDT 2022
% Result : Unsatisfiable 2.64s 0.73s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 104 ( 86 unt; 0 def)
% Number of atoms : 125 ( 100 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 179 ( 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1213,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f33,f550,f1199]) ).
fof(f1199,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1198,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f1194,f1113]) ).
fof(f1113,plain,
! [X6,X5] : double_divide(double_divide(X6,double_divide(identity,X5)),identity) = double_divide(X5,double_divide(identity,X6)),
inference(forward_demodulation,[],[f1112,f429]) ).
fof(f429,plain,
! [X2,X1] : double_divide(X2,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(X2,identity))),
inference(forward_demodulation,[],[f428,f290]) ).
fof(f290,plain,
! [X12] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X12)))) = X12,
inference(forward_demodulation,[],[f272,f165]) ).
fof(f165,plain,
! [X13] : double_divide(X13,identity) = double_divide(identity,X13),
inference(forward_demodulation,[],[f137,f80]) ).
fof(f80,plain,
! [X8,X7] : double_divide(double_divide(identity,double_divide(X8,double_divide(X7,X8))),identity) = X7,
inference(forward_demodulation,[],[f79,f34]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(backward_demodulation,[],[f26,f29]) ).
fof(f29,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f26,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f79,plain,
! [X8,X7] : double_divide(double_divide(identity,double_divide(X8,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X7,X8),identity))),identity))),identity) = X7,
inference(forward_demodulation,[],[f77,f29]) ).
fof(f77,plain,
! [X8,X7] : double_divide(double_divide(identity,double_divide(X8,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X7,X8),identity))),identity))),double_divide(identity,identity)) = X7,
inference(superposition,[],[f1,f45]) ).
fof(f45,plain,
! [X4] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X4,identity))),X4),
inference(superposition,[],[f6,f34]) ).
fof(f137,plain,
! [X13] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X13,identity))),identity)) = double_divide(X13,identity),
inference(superposition,[],[f55,f45]) ).
fof(f55,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(X1,identity)),
inference(superposition,[],[f35,f35]) ).
fof(f35,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(backward_demodulation,[],[f22,f29]) ).
fof(f22,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f272,plain,
! [X12] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X12),identity))) = X12,
inference(superposition,[],[f176,f152]) ).
fof(f152,plain,
! [X10] : identity = double_divide(X10,double_divide(identity,X10)),
inference(superposition,[],[f6,f55]) ).
fof(f176,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[],[f35,f165]) ).
fof(f428,plain,
! [X2,X1] : double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X2,double_divide(identity,X1)))))),
inference(backward_demodulation,[],[f190,f427]) ).
fof(f427,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(identity,double_divide(X2,double_divide(identity,X1)))) = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,X1))),X3),
inference(backward_demodulation,[],[f193,f424]) ).
fof(f424,plain,
! [X3,X4] : double_divide(identity,double_divide(identity,double_divide(X3,double_divide(X4,identity)))) = double_divide(identity,double_divide(X4,double_divide(identity,X3))),
inference(forward_demodulation,[],[f423,f337]) ).
fof(f337,plain,
! [X18,X16,X17] : double_divide(identity,double_divide(X17,double_divide(identity,X16))) = double_divide(double_divide(X18,identity),double_divide(X17,double_divide(X18,X16))),
inference(forward_demodulation,[],[f313,f304]) ).
fof(f304,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,double_divide(X0,identity)),identity),
inference(superposition,[],[f128,f29]) ).
fof(f128,plain,
! [X2,X3,X1] : double_divide(X2,double_divide(X3,X1)) = double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(X3,identity)),
inference(backward_demodulation,[],[f61,f127]) ).
fof(f127,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f126,f29]) ).
fof(f126,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f115,f95]) ).
fof(f95,plain,
! [X5] : double_divide(identity,double_divide(X5,identity)) = double_divide(double_divide(X5,identity),identity),
inference(superposition,[],[f35,f50]) ).
fof(f50,plain,
! [X0] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0,
inference(superposition,[],[f35,f6]) ).
fof(f115,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(superposition,[],[f102,f6]) ).
fof(f102,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(identity,double_divide(X1,identity))) = X0,
inference(backward_demodulation,[],[f24,f95]) ).
fof(f24,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f61,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X1,double_divide(X2,identity)),identity)))),double_divide(X3,identity)) = double_divide(X2,double_divide(X3,X1)),
inference(backward_demodulation,[],[f27,f54]) ).
fof(f54,plain,
! [X6] : double_divide(identity,double_divide(identity,double_divide(X6,identity))) = double_divide(identity,double_divide(double_divide(identity,X6),identity)),
inference(superposition,[],[f35,f34]) ).
fof(f27,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),identity))),double_divide(X3,identity)) = double_divide(X2,double_divide(X3,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f313,plain,
! [X18,X16,X17] : double_divide(identity,double_divide(double_divide(X16,double_divide(X17,identity)),identity)) = double_divide(double_divide(X18,identity),double_divide(X17,double_divide(X18,X16))),
inference(superposition,[],[f55,f128]) ).
fof(f423,plain,
! [X3,X4,X5] : double_divide(double_divide(X5,identity),double_divide(X4,double_divide(X5,X3))) = double_divide(identity,double_divide(identity,double_divide(X3,double_divide(X4,identity)))),
inference(forward_demodulation,[],[f371,f165]) ).
fof(f371,plain,
! [X3,X4,X5] : double_divide(double_divide(X5,identity),double_divide(X4,double_divide(X5,X3))) = double_divide(double_divide(identity,double_divide(X3,double_divide(X4,identity))),identity),
inference(superposition,[],[f57,f128]) ).
fof(f57,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),identity) = double_divide(X0,double_divide(X1,X0)),
inference(superposition,[],[f34,f35]) ).
fof(f193,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X2,identity))))) = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,X1))),X3),
inference(forward_demodulation,[],[f177,f165]) ).
fof(f177,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),identity)) = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,X1))),X3),
inference(backward_demodulation,[],[f132,f165]) ).
fof(f132,plain,
! [X2,X3,X1] : double_divide(double_divide(double_divide(X2,double_divide(X3,X1)),identity),X3) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),identity)),
inference(superposition,[],[f55,f1]) ).
fof(f190,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X2,double_divide(X3,X1))),X3))),
inference(forward_demodulation,[],[f172,f165]) ).
fof(f172,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(X2,double_divide(X3,X1)),identity),X3))) = double_divide(identity,double_divide(X1,double_divide(X2,identity))),
inference(backward_demodulation,[],[f51,f165]) ).
fof(f51,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(identity,double_divide(double_divide(double_divide(double_divide(X2,double_divide(X3,X1)),identity),X3),identity)),
inference(superposition,[],[f35,f1]) ).
fof(f1112,plain,
! [X6,X5] : double_divide(double_divide(identity,double_divide(X5,double_divide(X6,identity))),identity) = double_divide(X5,double_divide(identity,X6)),
inference(forward_demodulation,[],[f1111,f29]) ).
fof(f1111,plain,
! [X6,X5] : double_divide(double_divide(identity,double_divide(X5,double_divide(X6,double_divide(identity,identity)))),identity) = double_divide(X5,double_divide(identity,X6)),
inference(forward_demodulation,[],[f1110,f302]) ).
fof(f302,plain,
! [X8,X6,X7,X5] : double_divide(double_divide(X6,double_divide(X7,X5)),double_divide(X8,identity)) = double_divide(X7,double_divide(X8,double_divide(X5,double_divide(X6,identity)))),
inference(superposition,[],[f128,f128]) ).
fof(f1110,plain,
! [X6,X5] : double_divide(double_divide(double_divide(identity,double_divide(identity,X6)),double_divide(X5,identity)),identity) = double_divide(X5,double_divide(identity,X6)),
inference(forward_demodulation,[],[f1097,f496]) ).
fof(f496,plain,
! [X10,X9] : double_divide(X9,double_divide(X10,identity)) = double_divide(identity,double_divide(X10,double_divide(identity,X9))),
inference(backward_demodulation,[],[f338,f482]) ).
fof(f482,plain,
! [X3] : double_divide(identity,double_divide(identity,X3)) = X3,
inference(backward_demodulation,[],[f344,f461]) ).
fof(f461,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(backward_demodulation,[],[f55,f458]) ).
fof(f458,plain,
! [X12] : double_divide(identity,double_divide(X12,identity)) = X12,
inference(backward_demodulation,[],[f290,f456]) ).
fof(f456,plain,
! [X6] : double_divide(identity,double_divide(identity,double_divide(identity,X6))) = double_divide(X6,identity),
inference(forward_demodulation,[],[f445,f29]) ).
fof(f445,plain,
! [X6] : double_divide(X6,double_divide(identity,identity)) = double_divide(identity,double_divide(identity,double_divide(identity,X6))),
inference(backward_demodulation,[],[f166,f429]) ).
fof(f166,plain,
! [X6] : double_divide(identity,double_divide(identity,double_divide(X6,identity))) = double_divide(identity,double_divide(identity,double_divide(identity,X6))),
inference(backward_demodulation,[],[f54,f165]) ).
fof(f344,plain,
! [X3,X4] : double_divide(X4,double_divide(X3,X4)) = double_divide(identity,double_divide(identity,X3)),
inference(superposition,[],[f55,f165]) ).
fof(f338,plain,
! [X10,X9] : double_divide(X9,double_divide(X10,identity)) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X10,double_divide(identity,X9))))),
inference(backward_demodulation,[],[f311,f337]) ).
fof(f311,plain,
! [X10,X11,X9] : double_divide(X9,double_divide(X10,identity)) = double_divide(identity,double_divide(identity,double_divide(double_divide(X11,identity),double_divide(X10,double_divide(X11,X9))))),
inference(superposition,[],[f176,f128]) ).
fof(f1097,plain,
! [X6,X5] : double_divide(double_divide(identity,double_divide(X5,double_divide(identity,double_divide(identity,double_divide(identity,X6))))),identity) = double_divide(X5,double_divide(identity,X6)),
inference(superposition,[],[f435,f6]) ).
fof(f435,plain,
! [X2,X3,X4,X5] : double_divide(X3,double_divide(identity,X2)) = double_divide(double_divide(identity,double_divide(X3,double_divide(X5,double_divide(identity,double_divide(X4,X2))))),double_divide(identity,double_divide(X5,X4))),
inference(backward_demodulation,[],[f321,f429]) ).
fof(f321,plain,
! [X2,X3,X4,X5] : double_divide(identity,double_divide(X2,double_divide(X3,identity))) = double_divide(double_divide(identity,double_divide(X3,double_divide(X5,double_divide(identity,double_divide(X4,X2))))),double_divide(identity,double_divide(X5,X4))),
inference(forward_demodulation,[],[f320,f165]) ).
fof(f320,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(identity,double_divide(X3,double_divide(X5,double_divide(double_divide(X4,X2),identity)))),double_divide(identity,double_divide(X5,X4))) = double_divide(identity,double_divide(X2,double_divide(X3,identity))),
inference(forward_demodulation,[],[f319,f29]) ).
fof(f319,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(identity,double_divide(X3,double_divide(X5,double_divide(double_divide(X4,X2),double_divide(identity,identity))))),double_divide(identity,double_divide(X5,X4))) = double_divide(identity,double_divide(X2,double_divide(X3,identity))),
inference(backward_demodulation,[],[f189,f302]) ).
fof(f189,plain,
! [X2,X3,X4,X5] : double_divide(identity,double_divide(X2,double_divide(X3,identity))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X3,double_divide(X4,X2))),double_divide(X5,identity))),double_divide(identity,double_divide(X5,X4))),
inference(forward_demodulation,[],[f171,f165]) ).
fof(f171,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,double_divide(X4,X2)),identity),double_divide(X5,identity))),double_divide(identity,double_divide(X5,X4))) = double_divide(identity,double_divide(X2,double_divide(X3,identity))),
inference(backward_demodulation,[],[f25,f165]) ).
fof(f25,plain,
! [X2,X3,X4,X5] : double_divide(identity,double_divide(X2,double_divide(X3,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,double_divide(X4,X2)),identity),double_divide(X5,identity))),double_divide(double_divide(X5,X4),identity)),
inference(superposition,[],[f1,f1]) ).
fof(f1194,plain,
( double_divide(double_divide(c3,double_divide(identity,double_divide(b3,a3))),identity) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
| spl0_3 ),
inference(backward_demodulation,[],[f559,f1187]) ).
fof(f1187,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(X3,X2)),X1) = double_divide(X3,double_divide(identity,double_divide(X2,X1))),
inference(forward_demodulation,[],[f1186,f461]) ).
fof(f1186,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(X3,X2)),double_divide(identity,double_divide(X1,identity))) = double_divide(X3,double_divide(identity,double_divide(X2,X1))),
inference(forward_demodulation,[],[f1074,f515]) ).
fof(f515,plain,
! [X2,X1] : double_divide(X1,identity) = double_divide(double_divide(X2,double_divide(identity,X1)),X2),
inference(forward_demodulation,[],[f514,f461]) ).
fof(f514,plain,
! [X2,X1] : double_divide(X1,identity) = double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(identity,double_divide(X2,identity))),
inference(forward_demodulation,[],[f513,f29]) ).
fof(f513,plain,
! [X2,X1] : double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(identity,double_divide(X2,identity))) = double_divide(X1,double_divide(identity,identity)),
inference(forward_demodulation,[],[f430,f429]) ).
fof(f430,plain,
! [X2,X1] : double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(identity,double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(backward_demodulation,[],[f99,f429]) ).
fof(f99,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(identity,double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(backward_demodulation,[],[f71,f95]) ).
fof(f71,plain,
! [X2,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,identity),identity)) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(superposition,[],[f1,f45]) ).
fof(f1074,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X3,X2)),double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X1)),X0))) = double_divide(X3,double_divide(identity,double_divide(X2,X1))),
inference(superposition,[],[f435,f431]) ).
fof(f431,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(identity,X0)),double_divide(identity,double_divide(X1,double_divide(X2,X0)))) = X2,
inference(backward_demodulation,[],[f178,f429]) ).
fof(f178,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(identity,double_divide(X1,double_divide(X2,X0)))) = X2,
inference(backward_demodulation,[],[f1,f165]) ).
fof(f559,plain,
( double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity)
| spl0_3 ),
inference(forward_demodulation,[],[f558,f165]) ).
fof(f558,plain,
( double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| spl0_3 ),
inference(forward_demodulation,[],[f19,f304]) ).
fof(f19,plain,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_3
<=> double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f550,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f549,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f382,f461]) ).
fof(f382,plain,
( ! [X2] : a2 != double_divide(X2,double_divide(a2,X2))
| spl0_2 ),
inference(superposition,[],[f187,f57]) ).
fof(f187,plain,
( a2 != double_divide(double_divide(identity,a2),identity)
| spl0_2 ),
inference(backward_demodulation,[],[f15,f165]) ).
fof(f15,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_2
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f33,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f32]) ).
fof(f32,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f29,f21]) ).
fof(f21,plain,
( identity != double_divide(identity,identity)
| spl0_1 ),
inference(forward_demodulation,[],[f11,f6]) ).
fof(f11,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7,f17,f13,f9]) ).
fof(f7,plain,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(definition_unfolding,[],[f5,f2,f3,f2,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
( identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:12:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (27642)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.54 % (27658)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.54 % (27634)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.56 % (27643)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.56 % (27632)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.62/0.56 % (27635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.62/0.57 % (27644)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.62/0.58 % (27648)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.59 % (27630)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.62/0.59 % (27631)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.62/0.59 % (27636)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.59 TRYING [1]
% 1.62/0.59 TRYING [2]
% 1.62/0.59 % (27641)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.59 % (27659)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.62/0.59 % (27651)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.62/0.60 % (27653)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.62/0.60 % (27645)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.62/0.60 % (27640)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.62/0.61 % (27654)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.62/0.61 % (27633)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.61 TRYING [1]
% 1.62/0.61 TRYING [2]
% 1.62/0.61 % (27647)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.62/0.61 TRYING [3]
% 1.62/0.61 TRYING [3]
% 1.62/0.62 TRYING [4]
% 1.62/0.62 % (27637)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.62 % (27655)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.62/0.62 % (27656)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.62/0.62 % (27657)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.62/0.63 % (27650)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.62/0.63 % (27646)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.63 % (27638)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.62/0.63 % (27638)Instruction limit reached!
% 1.62/0.63 % (27638)------------------------------
% 1.62/0.63 % (27638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.63 % (27638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.63 % (27638)Termination reason: Unknown
% 1.62/0.63 % (27638)Termination phase: Saturation
% 1.62/0.63
% 1.62/0.63 % (27638)Memory used [KB]: 895
% 1.62/0.63 % (27638)Time elapsed: 0.002 s
% 1.62/0.63 % (27638)Instructions burned: 2 (million)
% 1.62/0.63 % (27638)------------------------------
% 1.62/0.63 % (27638)------------------------------
% 1.62/0.63 % (27639)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.63 % (27649)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.63 % (27632)Instruction limit reached!
% 1.62/0.63 % (27632)------------------------------
% 1.62/0.63 % (27632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.63 % (27632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.63 TRYING [1]
% 1.62/0.63 % (27632)Termination reason: Unknown
% 1.62/0.63 % (27632)Termination phase: Saturation
% 1.62/0.63
% 1.62/0.63 % (27632)Memory used [KB]: 1663
% 1.62/0.63 % (27632)Time elapsed: 0.210 s
% 1.62/0.63 % (27632)Instructions burned: 37 (million)
% 1.62/0.63 % (27632)------------------------------
% 1.62/0.63 % (27632)------------------------------
% 1.62/0.63 TRYING [2]
% 1.62/0.64 TRYING [3]
% 1.62/0.64 % (27652)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.62/0.64 % (27637)Instruction limit reached!
% 1.62/0.64 % (27637)------------------------------
% 1.62/0.64 % (27637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.64 % (27637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.64 % (27637)Termination reason: Unknown
% 1.62/0.64 % (27637)Termination phase: Saturation
% 1.62/0.64
% 1.62/0.64 % (27637)Memory used [KB]: 5500
% 1.62/0.64 % (27637)Time elapsed: 0.157 s
% 1.62/0.64 % (27637)Instructions burned: 8 (million)
% 1.62/0.64 % (27637)------------------------------
% 1.62/0.64 % (27637)------------------------------
% 1.62/0.64 TRYING [4]
% 2.35/0.66 % (27635)Instruction limit reached!
% 2.35/0.66 % (27635)------------------------------
% 2.35/0.66 % (27635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.66 % (27635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.66 % (27635)Termination reason: Unknown
% 2.35/0.66 % (27635)Termination phase: Saturation
% 2.35/0.66
% 2.35/0.66 % (27635)Memory used [KB]: 6268
% 2.35/0.66 % (27635)Time elapsed: 0.232 s
% 2.35/0.66 % (27635)Instructions burned: 49 (million)
% 2.35/0.66 % (27635)------------------------------
% 2.35/0.66 % (27635)------------------------------
% 2.35/0.66 TRYING [4]
% 2.35/0.68 % (27634)Instruction limit reached!
% 2.35/0.68 % (27634)------------------------------
% 2.35/0.68 % (27634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68 % (27634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68 % (27634)Termination reason: Unknown
% 2.35/0.68 % (27634)Termination phase: Saturation
% 2.35/0.68
% 2.35/0.68 % (27634)Memory used [KB]: 6396
% 2.35/0.68 % (27634)Time elapsed: 0.250 s
% 2.35/0.68 % (27634)Instructions burned: 51 (million)
% 2.35/0.68 % (27634)------------------------------
% 2.35/0.68 % (27634)------------------------------
% 2.35/0.69 % (27640)Instruction limit reached!
% 2.35/0.69 % (27640)------------------------------
% 2.35/0.69 % (27640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69 % (27640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69 % (27640)Termination reason: Unknown
% 2.35/0.69 % (27640)Termination phase: Saturation
% 2.35/0.69
% 2.35/0.69 % (27640)Memory used [KB]: 6012
% 2.35/0.69 % (27640)Time elapsed: 0.260 s
% 2.35/0.69 % (27640)Instructions burned: 50 (million)
% 2.35/0.69 % (27640)------------------------------
% 2.35/0.69 % (27640)------------------------------
% 2.64/0.70 % (27636)Instruction limit reached!
% 2.64/0.70 % (27636)------------------------------
% 2.64/0.70 % (27636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.70 % (27636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.70 % (27636)Termination reason: Unknown
% 2.64/0.70 % (27636)Termination phase: Finite model building SAT solving
% 2.64/0.70
% 2.64/0.70 % (27636)Memory used [KB]: 6780
% 2.64/0.70 % (27636)Time elapsed: 0.222 s
% 2.64/0.70 % (27636)Instructions burned: 51 (million)
% 2.64/0.70 % (27636)------------------------------
% 2.64/0.70 % (27636)------------------------------
% 2.64/0.70 TRYING [5]
% 2.64/0.72 % (27643)Instruction limit reached!
% 2.64/0.72 % (27643)------------------------------
% 2.64/0.72 % (27643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.72 % (27643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.72 % (27643)Termination reason: Unknown
% 2.64/0.72 % (27643)Termination phase: Saturation
% 2.64/0.72
% 2.64/0.72 % (27643)Memory used [KB]: 7164
% 2.64/0.72 % (27643)Time elapsed: 0.288 s
% 2.64/0.72 % (27643)Instructions burned: 99 (million)
% 2.64/0.72 % (27643)------------------------------
% 2.64/0.72 % (27643)------------------------------
% 2.64/0.72 % (27651)First to succeed.
% 2.64/0.72 % (27631)Instruction limit reached!
% 2.64/0.72 % (27631)------------------------------
% 2.64/0.72 % (27631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.72 % (27631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.72 % (27631)Termination reason: Unknown
% 2.64/0.72 % (27631)Termination phase: Saturation
% 2.64/0.72
% 2.64/0.72 % (27631)Memory used [KB]: 6140
% 2.64/0.72 % (27631)Time elapsed: 0.284 s
% 2.64/0.72 % (27631)Instructions burned: 50 (million)
% 2.64/0.72 % (27631)------------------------------
% 2.64/0.72 % (27631)------------------------------
% 2.64/0.73 % (27651)Refutation found. Thanks to Tanya!
% 2.64/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.64/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.73 % (27651)------------------------------
% 2.64/0.73 % (27651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.73 % (27651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.73 % (27651)Termination reason: Refutation
% 2.64/0.73
% 2.64/0.73 % (27651)Memory used [KB]: 6652
% 2.64/0.73 % (27651)Time elapsed: 0.296 s
% 2.64/0.73 % (27651)Instructions burned: 88 (million)
% 2.64/0.73 % (27651)------------------------------
% 2.64/0.73 % (27651)------------------------------
% 2.64/0.73 % (27629)Success in time 0.374 s
%------------------------------------------------------------------------------