TSTP Solution File: GRP775+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 05:51:33 EDT 2024
% Result : Theorem 1.43s 0.98s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 127 ( 34 unt; 0 def)
% Number of atoms : 323 ( 142 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 335 ( 139 ~; 143 |; 36 &)
% ( 14 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 91 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6610,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f67,f72,f4400,f4409,f4412,f4672,f6551]) ).
fof(f6551,plain,
( ~ spl9_1
| ~ spl9_4
| spl9_5 ),
inference(avatar_contradiction_clause,[],[f6550]) ).
fof(f6550,plain,
( $false
| ~ spl9_1
| ~ spl9_4
| spl9_5 ),
inference(subsumption_resolution,[],[f6549,f70]) ).
fof(f70,plain,
( sK1 != sF8
| spl9_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl9_5
<=> sK1 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f6549,plain,
( sK1 = sF8
| ~ spl9_1
| ~ spl9_4 ),
inference(forward_demodulation,[],[f6483,f4595]) ).
fof(f4595,plain,
sF8 = product(sF5,sK1),
inference(backward_demodulation,[],[f4590,f46]) ).
fof(f46,plain,
product(sK1,sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f4590,plain,
product(sK1,sF7) = product(sF5,sK1),
inference(forward_demodulation,[],[f4587,f27]) ).
fof(f27,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] : product(X0,X0) = X0,
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',sos02) ).
fof(f4587,plain,
product(sK1,product(sF7,sF7)) = product(sF5,sK1),
inference(backward_demodulation,[],[f2030,f165]) ).
fof(f165,plain,
! [X0] : product(sK1,product(sF7,X0)) = product(sF5,product(sK1,X0)),
inference(superposition,[],[f78,f80]) ).
fof(f80,plain,
! [X0] : product(sF7,X0) = product(sK2,product(sK1,X0)),
inference(superposition,[],[f26,f45]) ).
fof(f45,plain,
product(sK2,sK1) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f26,plain,
! [X2,X0,X1] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',sos01) ).
fof(f78,plain,
! [X0] : product(sK1,product(sK2,X0)) = product(sF5,X0),
inference(superposition,[],[f26,f43]) ).
fof(f43,plain,
product(sK1,sK2) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f2030,plain,
product(sF5,sK1) = product(sF5,product(sK1,sF7)),
inference(superposition,[],[f274,f45]) ).
fof(f274,plain,
! [X0] : product(sF5,X0) = product(sF5,product(X0,product(sK2,X0))),
inference(forward_demodulation,[],[f234,f78]) ).
fof(f234,plain,
! [X0] : product(sK1,product(sK2,X0)) = product(sF5,product(X0,product(sK2,X0))),
inference(superposition,[],[f78,f81]) ).
fof(f81,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X1,product(X0,X1))),
inference(superposition,[],[f26,f27]) ).
fof(f6483,plain,
( sK1 = product(sF5,sK1)
| ~ spl9_1
| ~ spl9_4 ),
inference(backward_demodulation,[],[f4453,f6454]) ).
fof(f6454,plain,
( ! [X0] : product(sF5,X0) = product(sK0(sK1,sK2),X0)
| ~ spl9_1
| ~ spl9_4 ),
inference(forward_demodulation,[],[f6453,f4511]) ).
fof(f4511,plain,
( ! [X0] : product(sK0(sK1,sK2),X0) = product(sK0(sK1,sK2),product(sK2,X0))
| ~ spl9_1 ),
inference(superposition,[],[f26,f4451]) ).
fof(f4451,plain,
( sK0(sK1,sK2) = product(sK0(sK1,sK2),sK2)
| ~ spl9_1 ),
inference(resolution,[],[f4447,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X0,X1) = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( l(X0,X1)
<=> ( product(X1,X0) = X1
& product(X0,X1) = X0 ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] :
( l(X3,X4)
<=> ( product(X4,X3) = X4
& product(X3,X4) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',sos03) ).
fof(f4447,plain,
( l(sK0(sK1,sK2),sK2)
| ~ spl9_1 ),
inference(resolution,[],[f52,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ d(X0,X1)
| l(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ( l(sK0(X0,X1),X1)
& r(X0,sK0(X0,X1)) )
| ~ d(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
=> ( l(sK0(X0,X1),X1)
& r(X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
| ~ d(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X2] :
( l(X2,X1)
& r(X0,X2) )
| ~ d(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( d(X0,X1)
<=> ? [X2] :
( l(X2,X1)
& r(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X7,X8] :
( d(X7,X8)
<=> ? [X9] :
( l(X9,X8)
& r(X7,X9) ) ),
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',sos05) ).
fof(f52,plain,
( d(sK1,sK2)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl9_1
<=> d(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f6453,plain,
( ! [X0] : product(sF5,X0) = product(sK0(sK1,sK2),product(sK2,X0))
| ~ spl9_1
| ~ spl9_4 ),
inference(forward_demodulation,[],[f6414,f5183]) ).
fof(f5183,plain,
( ! [X0] : product(sF5,X0) = product(sK0(sK1,sK2),product(sF5,X0))
| ~ spl9_1 ),
inference(superposition,[],[f4473,f78]) ).
fof(f4473,plain,
( ! [X0] : product(sK1,X0) = product(sK0(sK1,sK2),product(sK1,X0))
| ~ spl9_1 ),
inference(superposition,[],[f26,f4453]) ).
fof(f6414,plain,
( ! [X0] : product(sK0(sK1,sK2),product(sK2,X0)) = product(sK0(sK1,sK2),product(sF5,X0))
| ~ spl9_1
| ~ spl9_4 ),
inference(superposition,[],[f4511,f4677]) ).
fof(f4677,plain,
( ! [X0] : product(sK2,X0) = product(sK2,product(sF5,X0))
| ~ spl9_4 ),
inference(backward_demodulation,[],[f4626,f66]) ).
fof(f66,plain,
( sK2 = sF6
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl9_4
<=> sK2 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f4626,plain,
! [X0] : product(sK2,product(sF5,X0)) = product(sF6,X0),
inference(superposition,[],[f26,f44]) ).
fof(f44,plain,
product(sK2,sF5) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f4453,plain,
( sK1 = product(sK0(sK1,sK2),sK1)
| ~ spl9_1 ),
inference(resolution,[],[f4448,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X1,X0) = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( r(X0,X1)
<=> ( product(X1,X0) = X0
& product(X0,X1) = X1 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X5,X6] :
( r(X5,X6)
<=> ( product(X6,X5) = X5
& product(X5,X6) = X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',sos04) ).
fof(f4448,plain,
( r(sK1,sK0(sK1,sK2))
| ~ spl9_1 ),
inference(resolution,[],[f52,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ d(X0,X1)
| r(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f4672,plain,
( spl9_4
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f4667,f51,f64]) ).
fof(f4667,plain,
( sK2 = sF6
| ~ spl9_1 ),
inference(forward_demodulation,[],[f4663,f4446]) ).
fof(f4446,plain,
sF6 = product(sF7,sK2),
inference(backward_demodulation,[],[f4437,f44]) ).
fof(f4437,plain,
product(sK2,sF5) = product(sF7,sK2),
inference(forward_demodulation,[],[f161,f842]) ).
fof(f842,plain,
product(sF7,sK2) = product(sF7,sF5),
inference(superposition,[],[f174,f43]) ).
fof(f174,plain,
! [X0] : product(sF7,X0) = product(sF7,product(sK1,X0)),
inference(forward_demodulation,[],[f164,f80]) ).
fof(f164,plain,
! [X0] : product(sK2,product(sK1,X0)) = product(sF7,product(sK1,X0)),
inference(superposition,[],[f80,f75]) ).
fof(f75,plain,
! [X0,X1] : product(X0,X1) = product(X0,product(X0,X1)),
inference(superposition,[],[f26,f27]) ).
fof(f161,plain,
product(sK2,sF5) = product(sF7,sF5),
inference(superposition,[],[f80,f100]) ).
fof(f100,plain,
sF5 = product(sK1,sF5),
inference(superposition,[],[f75,f43]) ).
fof(f4663,plain,
( sK2 = product(sF7,sK2)
| ~ spl9_1 ),
inference(superposition,[],[f75,f4531]) ).
fof(f4531,plain,
( sK2 = product(sF7,sK0(sK1,sK2))
| ~ spl9_1 ),
inference(forward_demodulation,[],[f4522,f4450]) ).
fof(f4450,plain,
( sK2 = product(sK2,sK0(sK1,sK2))
| ~ spl9_1 ),
inference(resolution,[],[f4447,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ l(X0,X1)
| product(X1,X0) = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f4522,plain,
( product(sK2,sK0(sK1,sK2)) = product(sF7,sK0(sK1,sK2))
| ~ spl9_1 ),
inference(superposition,[],[f80,f4454]) ).
fof(f4454,plain,
( sK0(sK1,sK2) = product(sK1,sK0(sK1,sK2))
| ~ spl9_1 ),
inference(resolution,[],[f4448,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ r(X0,X1)
| product(X0,X1) = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f4412,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(avatar_contradiction_clause,[],[f4411]) ).
fof(f4411,plain,
( $false
| ~ spl9_3
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f4410,f40]) ).
fof(f40,plain,
~ sP3(sK2),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f4410,plain,
( sP3(sK2)
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_demodulation,[],[f61,f66]) ).
fof(f61,plain,
( sP3(sF6)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl9_3
<=> sP3(sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f4409,plain,
( ~ spl9_2
| ~ spl9_5 ),
inference(avatar_contradiction_clause,[],[f4408]) ).
fof(f4408,plain,
( $false
| ~ spl9_2
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f4407,f41]) ).
fof(f41,plain,
~ sP4(sK1),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f4407,plain,
( sP4(sK1)
| ~ spl9_2
| ~ spl9_5 ),
inference(forward_demodulation,[],[f57,f71]) ).
fof(f71,plain,
( sK1 = sF8
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f57,plain,
( sP4(sF8)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl9_2
<=> sP4(sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f4400,plain,
( spl9_1
| ~ spl9_4
| ~ spl9_5 ),
inference(avatar_contradiction_clause,[],[f4399]) ).
fof(f4399,plain,
( $false
| spl9_1
| ~ spl9_4
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f4398,f128]) ).
fof(f128,plain,
sF5 = product(sF5,sK2),
inference(forward_demodulation,[],[f120,f43]) ).
fof(f120,plain,
product(sK1,sK2) = product(sF5,sK2),
inference(superposition,[],[f78,f27]) ).
fof(f4398,plain,
( sF5 != product(sF5,sK2)
| spl9_1
| ~ spl9_4
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f4397,f74]) ).
fof(f74,plain,
( sK2 = product(sK2,sF5)
| ~ spl9_4 ),
inference(backward_demodulation,[],[f44,f66]) ).
fof(f4397,plain,
( sK2 != product(sK2,sF5)
| sF5 != product(sF5,sK2)
| spl9_1
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f4370,f100]) ).
fof(f4370,plain,
( sF5 != product(sK1,sF5)
| sK2 != product(sK2,sF5)
| sF5 != product(sF5,sK2)
| spl9_1
| ~ spl9_5 ),
inference(trivial_inequality_removal,[],[f4368]) ).
fof(f4368,plain,
( sK1 != sK1
| sF5 != product(sK1,sF5)
| sK2 != product(sK2,sF5)
| sF5 != product(sF5,sK2)
| spl9_1
| ~ spl9_5 ),
inference(superposition,[],[f4362,f125]) ).
fof(f125,plain,
( sK1 = product(sF5,sK1)
| ~ spl9_5 ),
inference(forward_demodulation,[],[f117,f73]) ).
fof(f73,plain,
( sK1 = product(sK1,sF7)
| ~ spl9_5 ),
inference(backward_demodulation,[],[f46,f71]) ).
fof(f117,plain,
product(sK1,sF7) = product(sF5,sK1),
inference(superposition,[],[f78,f45]) ).
fof(f4362,plain,
( ! [X0] :
( sK1 != product(X0,sK1)
| product(sK1,X0) != X0
| sK2 != product(sK2,X0)
| product(X0,sK2) != X0 )
| spl9_1 ),
inference(resolution,[],[f297,f53]) ).
fof(f53,plain,
( ~ d(sK1,sK2)
| spl9_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f297,plain,
! [X2,X0,X1] :
( d(X0,X2)
| product(X1,X0) != X0
| product(X0,X1) != X1
| product(X2,X1) != X2
| product(X1,X2) != X1 ),
inference(resolution,[],[f87,f30]) ).
fof(f30,plain,
! [X0,X1] :
( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ l(X0,X2)
| product(X1,X0) != X0
| product(X0,X1) != X1
| d(X1,X2) ),
inference(resolution,[],[f33,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ r(X0,X2)
| ~ l(X2,X1)
| d(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f72,plain,
( spl9_1
| spl9_5 ),
inference(avatar_split_clause,[],[f49,f69,f51]) ).
fof(f49,plain,
( sK1 = sF8
| d(sK1,sK2) ),
inference(definition_folding,[],[f37,f46,f45]) ).
fof(f37,plain,
( sK1 = product(sK1,product(sK2,sK1))
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) )
& ( ( sK2 = product(sK2,product(sK1,sK2))
& sK1 = product(sK1,product(sK2,sK1)) )
| d(sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f23,f24]) ).
fof(f24,plain,
( ? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) )
=> ( ( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) )
& ( ( sK2 = product(sK2,product(sK1,sK2))
& sK1 = product(sK1,product(sK2,sK1)) )
| d(sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0,X1] :
( d(X0,X1)
<~> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X1] :
( d(X0,X1)
<=> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
file('/export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876',goals) ).
fof(f67,plain,
( spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f48,f64,f51]) ).
fof(f48,plain,
( sK2 = sF6
| d(sK1,sK2) ),
inference(definition_folding,[],[f38,f44,f43]) ).
fof(f38,plain,
( sK2 = product(sK2,product(sK1,sK2))
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f62,plain,
( ~ spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_split_clause,[],[f47,f59,f55,f51]) ).
fof(f47,plain,
( sP3(sF6)
| sP4(sF8)
| ~ d(sK1,sK2) ),
inference(definition_folding,[],[f42,f46,f45,f44,f43]) ).
fof(f42,plain,
( sP3(product(sK2,product(sK1,sK2)))
| sP4(product(sK1,product(sK2,sK1)))
| ~ d(sK1,sK2) ),
inference(inequality_splitting,[],[f39,f41,f40]) ).
fof(f39,plain,
( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.36 % Computer : n021.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 20:54:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.tvWcbsunjo/Vampire---4.8_23876
% 0.58/0.76 % (23985)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (23987)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (23988)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76 % (23992)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76 % (23986)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.76 % (23989)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (23991)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.76 % (23990)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76 % (23992)Refutation not found, incomplete strategy% (23992)------------------------------
% 0.58/0.76 % (23992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (23992)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23992)Memory used [KB]: 956
% 0.58/0.76 % (23992)Time elapsed: 0.002 s
% 0.58/0.76 % (23992)Instructions burned: 2 (million)
% 0.58/0.76 % (23988)Refutation not found, incomplete strategy% (23988)------------------------------
% 0.58/0.76 % (23988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (23988)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23988)Memory used [KB]: 959
% 0.58/0.76 % (23988)Time elapsed: 0.003 s
% 0.58/0.76 % (23992)------------------------------
% 0.58/0.76 % (23992)------------------------------
% 0.58/0.76 % (23989)Refutation not found, incomplete strategy% (23989)------------------------------
% 0.58/0.76 % (23989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (23988)Instructions burned: 2 (million)
% 0.58/0.76 % (23989)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23989)Memory used [KB]: 974
% 0.58/0.76 % (23989)Time elapsed: 0.003 s
% 0.58/0.76 % (23989)Instructions burned: 3 (million)
% 0.58/0.76 % (23988)------------------------------
% 0.58/0.76 % (23988)------------------------------
% 0.58/0.76 % (23989)------------------------------
% 0.58/0.76 % (23989)------------------------------
% 0.58/0.76 % (23985)Refutation not found, incomplete strategy% (23985)------------------------------
% 0.58/0.76 % (23985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (23985)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23985)Memory used [KB]: 1051
% 0.58/0.76 % (23985)Time elapsed: 0.003 s
% 0.58/0.76 % (23985)Instructions burned: 5 (million)
% 0.58/0.76 % (23991)Refutation not found, incomplete strategy% (23991)------------------------------
% 0.58/0.76 % (23991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (23991)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23991)Memory used [KB]: 1027
% 0.58/0.76 % (23991)Time elapsed: 0.003 s
% 0.58/0.76 % (23991)Instructions burned: 4 (million)
% 0.59/0.76 % (23991)------------------------------
% 0.59/0.76 % (23991)------------------------------
% 0.59/0.76 % (23985)------------------------------
% 0.59/0.76 % (23985)------------------------------
% 0.59/0.76 % (23993)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.76 % (23994)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.76 % (23996)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.76 % (23995)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.76 % (23997)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.78 % (23996)Instruction limit reached!
% 0.59/0.78 % (23996)------------------------------
% 0.59/0.78 % (23996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (23996)Termination reason: Unknown
% 0.59/0.78 % (23996)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (23996)Memory used [KB]: 1503
% 0.59/0.78 % (23996)Time elapsed: 0.019 s
% 0.59/0.78 % (23996)Instructions burned: 54 (million)
% 0.59/0.78 % (23996)------------------------------
% 0.59/0.78 % (23996)------------------------------
% 0.59/0.78 % (23990)Instruction limit reached!
% 0.59/0.78 % (23990)------------------------------
% 0.59/0.78 % (23990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (23990)Termination reason: Unknown
% 0.59/0.78 % (23990)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (23990)Memory used [KB]: 1302
% 0.59/0.78 % (23990)Time elapsed: 0.025 s
% 0.59/0.78 % (23990)Instructions burned: 46 (million)
% 0.59/0.78 % (23990)------------------------------
% 0.59/0.78 % (23990)------------------------------
% 0.59/0.78 % (23986)Instruction limit reached!
% 0.59/0.78 % (23986)------------------------------
% 0.59/0.78 % (23986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (23986)Termination reason: Unknown
% 0.59/0.78 % (23986)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (23986)Memory used [KB]: 1314
% 0.59/0.78 % (23986)Time elapsed: 0.026 s
% 0.59/0.78 % (23986)Instructions burned: 51 (million)
% 0.59/0.78 % (23986)------------------------------
% 0.59/0.78 % (23986)------------------------------
% 0.59/0.78 % (23998)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79 % (23994)Instruction limit reached!
% 0.59/0.79 % (23994)------------------------------
% 0.59/0.79 % (23994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (23994)Termination reason: Unknown
% 0.59/0.79 % (23994)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (23994)Memory used [KB]: 1157
% 0.59/0.79 % (23994)Time elapsed: 0.024 s
% 0.59/0.79 % (23994)Instructions burned: 51 (million)
% 0.59/0.79 % (23994)------------------------------
% 0.59/0.79 % (23994)------------------------------
% 0.59/0.79 % (24000)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.79 % (23999)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.79 % (23993)Instruction limit reached!
% 0.59/0.79 % (23993)------------------------------
% 0.59/0.79 % (23993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (23993)Termination reason: Unknown
% 0.59/0.79 % (23993)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (23993)Memory used [KB]: 1592
% 0.59/0.79 % (23993)Time elapsed: 0.026 s
% 0.59/0.79 % (23993)Instructions burned: 56 (million)
% 0.59/0.79 % (23993)------------------------------
% 0.59/0.79 % (23993)------------------------------
% 0.59/0.79 % (24001)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.79 % (24002)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.59/0.79 % (23987)Instruction limit reached!
% 0.59/0.79 % (23987)------------------------------
% 0.59/0.79 % (23987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (23987)Termination reason: Unknown
% 0.59/0.79 % (23987)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (23987)Memory used [KB]: 1649
% 0.59/0.79 % (23987)Time elapsed: 0.036 s
% 0.59/0.79 % (23987)Instructions burned: 79 (million)
% 0.59/0.79 % (23987)------------------------------
% 0.59/0.79 % (23987)------------------------------
% 0.59/0.79 % (24001)Refutation not found, incomplete strategy% (24001)------------------------------
% 0.59/0.79 % (24001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (24001)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (24001)Memory used [KB]: 1046
% 0.59/0.79 % (24001)Time elapsed: 0.004 s
% 0.59/0.79 % (24001)Instructions burned: 5 (million)
% 0.59/0.79 % (24001)------------------------------
% 0.59/0.79 % (24001)------------------------------
% 0.59/0.80 % (24003)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.80 % (23998)Instruction limit reached!
% 0.59/0.80 % (23998)------------------------------
% 0.59/0.80 % (23998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (23998)Termination reason: Unknown
% 0.59/0.80 % (23998)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (23998)Memory used [KB]: 1194
% 0.59/0.80 % (23998)Time elapsed: 0.014 s
% 0.59/0.80 % (23998)Instructions burned: 42 (million)
% 0.59/0.80 % (23998)------------------------------
% 0.59/0.80 % (23998)------------------------------
% 0.59/0.80 % (24003)Refutation not found, incomplete strategy% (24003)------------------------------
% 0.59/0.80 % (24003)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (24003)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (24003)Memory used [KB]: 957
% 0.59/0.80 % (24003)Time elapsed: 0.002 s
% 0.59/0.80 % (24003)Instructions burned: 2 (million)
% 0.59/0.80 % (24003)------------------------------
% 0.59/0.80 % (24003)------------------------------
% 0.59/0.80 % (24004)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.80 % (24005)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.79/0.81 % (24006)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.79/0.81 % (24006)Refutation not found, incomplete strategy% (24006)------------------------------
% 0.79/0.81 % (24006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.81 % (24006)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.81
% 0.79/0.81 % (24006)Memory used [KB]: 974
% 0.79/0.81 % (24006)Time elapsed: 0.003 s
% 0.79/0.81 % (24006)Instructions burned: 3 (million)
% 0.79/0.81 % (24006)------------------------------
% 0.79/0.81 % (24006)------------------------------
% 0.79/0.81 % (24004)Instruction limit reached!
% 0.79/0.81 % (24004)------------------------------
% 0.79/0.81 % (24004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.81 % (24004)Termination reason: Unknown
% 0.79/0.81 % (24004)Termination phase: Saturation
% 0.79/0.81
% 0.79/0.81 % (24004)Memory used [KB]: 1235
% 0.79/0.81 % (24004)Time elapsed: 0.017 s
% 0.79/0.81 % (24004)Instructions burned: 33 (million)
% 0.79/0.81 % (24004)------------------------------
% 0.79/0.81 % (24004)------------------------------
% 0.79/0.82 % (24007)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.79/0.82 % (24007)Refutation not found, incomplete strategy% (24007)------------------------------
% 0.79/0.82 % (24007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.82 % (24007)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.82
% 0.79/0.82 % (24007)Memory used [KB]: 1042
% 0.79/0.82 % (24007)Time elapsed: 0.004 s
% 0.79/0.82 % (24007)Instructions burned: 7 (million)
% 0.79/0.82 % (24007)------------------------------
% 0.79/0.82 % (24007)------------------------------
% 0.79/0.82 % (24008)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.79/0.82 % (24008)Refutation not found, incomplete strategy% (24008)------------------------------
% 0.79/0.82 % (24008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.82 % (24008)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.82
% 0.79/0.82 % (24008)Memory used [KB]: 1046
% 0.79/0.82 % (24008)Time elapsed: 0.003 s
% 0.79/0.82 % (24008)Instructions burned: 3 (million)
% 0.79/0.82 % (24008)------------------------------
% 0.79/0.82 % (24008)------------------------------
% 0.79/0.82 % (24009)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.79/0.82 % (24010)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.79/0.83 % (24002)Instruction limit reached!
% 0.79/0.83 % (24002)------------------------------
% 0.79/0.83 % (24002)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.83 % (24002)Termination reason: Unknown
% 0.79/0.83 % (24002)Termination phase: Saturation
% 0.79/0.83
% 0.79/0.83 % (24002)Memory used [KB]: 2090
% 0.79/0.83 % (24002)Time elapsed: 0.038 s
% 0.79/0.83 % (24002)Instructions burned: 93 (million)
% 0.79/0.83 % (24002)------------------------------
% 0.79/0.83 % (24002)------------------------------
% 0.79/0.83 % (24011)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.79/0.84 % (24000)Instruction limit reached!
% 0.79/0.84 % (24000)------------------------------
% 0.79/0.84 % (24000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.84 % (24000)Termination reason: Unknown
% 0.79/0.84 % (24000)Termination phase: Saturation
% 0.79/0.84
% 0.79/0.84 % (24000)Memory used [KB]: 1461
% 0.79/0.84 % (24000)Time elapsed: 0.053 s
% 0.79/0.84 % (24000)Instructions burned: 117 (million)
% 0.79/0.84 % (24000)------------------------------
% 0.79/0.84 % (24000)------------------------------
% 0.92/0.84 % (24010)Instruction limit reached!
% 0.92/0.84 % (24010)------------------------------
% 0.92/0.84 % (24010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.84 % (24010)Termination reason: Unknown
% 0.92/0.84 % (24010)Termination phase: Saturation
% 0.92/0.84
% 0.92/0.84 % (24010)Memory used [KB]: 1128
% 0.92/0.84 % (24010)Time elapsed: 0.018 s
% 0.92/0.84 % (24010)Instructions burned: 35 (million)
% 0.92/0.84 % (24010)------------------------------
% 0.92/0.84 % (24010)------------------------------
% 0.92/0.84 % (24013)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.92/0.85 % (24013)Refutation not found, incomplete strategy% (24013)------------------------------
% 0.92/0.85 % (24013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.85 % (24013)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.85
% 0.92/0.85 % (24013)Memory used [KB]: 960
% 0.92/0.85 % (24013)Time elapsed: 0.002 s
% 0.92/0.85 % (24013)Instructions burned: 2 (million)
% 0.92/0.85 % (24013)------------------------------
% 0.92/0.85 % (24013)------------------------------
% 0.92/0.85 % (24014)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.92/0.85 % (24014)Refutation not found, incomplete strategy% (24014)------------------------------
% 0.92/0.85 % (24014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.85 % (24014)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.85
% 0.92/0.85 % (24014)Memory used [KB]: 984
% 0.92/0.85 % (24014)Time elapsed: 0.003 s
% 0.92/0.85 % (24014)Instructions burned: 4 (million)
% 0.92/0.85 % (24014)------------------------------
% 0.92/0.85 % (24014)------------------------------
% 0.92/0.85 % (24012)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.92/0.86 % (24015)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.92/0.86 % (23995)Instruction limit reached!
% 0.92/0.86 % (23995)------------------------------
% 0.92/0.86 % (23995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.86 % (23995)Termination reason: Unknown
% 0.92/0.86 % (23995)Termination phase: Saturation
% 0.92/0.86
% 0.92/0.86 % (23995)Memory used [KB]: 3290
% 0.92/0.86 % (23995)Time elapsed: 0.096 s
% 0.92/0.86 % (23995)Instructions burned: 208 (million)
% 0.92/0.86 % (23995)------------------------------
% 0.92/0.86 % (23995)------------------------------
% 0.92/0.86 % (24016)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.92/0.87 % (24011)Instruction limit reached!
% 0.92/0.87 % (24011)------------------------------
% 0.92/0.87 % (24011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.87 % (24011)Termination reason: Unknown
% 0.92/0.87 % (24011)Termination phase: Saturation
% 0.92/0.87
% 0.92/0.87 % (24011)Memory used [KB]: 1618
% 0.92/0.87 % (24011)Time elapsed: 0.037 s
% 0.92/0.87 % (24011)Instructions burned: 87 (million)
% 0.92/0.87 % (24011)------------------------------
% 0.92/0.87 % (24011)------------------------------
% 0.92/0.87 % (24017)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.92/0.88 % (24009)Instruction limit reached!
% 0.92/0.88 % (24009)------------------------------
% 0.92/0.88 % (24009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.88 % (24009)Termination reason: Unknown
% 0.92/0.88 % (24009)Termination phase: Saturation
% 0.92/0.88
% 0.92/0.88 % (24009)Memory used [KB]: 2218
% 0.92/0.88 % (24009)Time elapsed: 0.054 s
% 0.92/0.88 % (24009)Instructions burned: 102 (million)
% 0.92/0.88 % (24009)------------------------------
% 0.92/0.88 % (24009)------------------------------
% 0.92/0.88 % (24015)Instruction limit reached!
% 0.92/0.88 % (24015)------------------------------
% 0.92/0.88 % (24015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.88 % (24015)Termination reason: Unknown
% 0.92/0.88 % (24015)Termination phase: Saturation
% 0.92/0.88
% 0.92/0.88 % (24015)Memory used [KB]: 1449
% 0.92/0.88 % (24015)Time elapsed: 0.021 s
% 0.92/0.88 % (24015)Instructions burned: 40 (million)
% 0.92/0.88 % (24015)------------------------------
% 0.92/0.88 % (24015)------------------------------
% 0.92/0.88 % (24018)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.92/0.88 % (24019)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.92/0.90 % (24019)Instruction limit reached!
% 0.92/0.90 % (24019)------------------------------
% 0.92/0.90 % (24019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.90 % (24019)Termination reason: Unknown
% 0.92/0.90 % (24019)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (24019)Memory used [KB]: 1283
% 0.92/0.90 % (24019)Time elapsed: 0.019 s
% 0.92/0.90 % (24019)Instructions burned: 37 (million)
% 0.92/0.90 % (24019)------------------------------
% 0.92/0.90 % (24019)------------------------------
% 0.92/0.90 % (23999)Instruction limit reached!
% 0.92/0.90 % (23999)------------------------------
% 0.92/0.90 % (23999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.90 % (23999)Termination reason: Unknown
% 0.92/0.90 % (23999)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (23999)Memory used [KB]: 2581
% 0.92/0.90 % (23999)Time elapsed: 0.113 s
% 0.92/0.90 % (23999)Instructions burned: 244 (million)
% 0.92/0.90 % (23999)------------------------------
% 0.92/0.90 % (23999)------------------------------
% 0.92/0.90 % (24012)Instruction limit reached!
% 0.92/0.90 % (24012)------------------------------
% 0.92/0.90 % (24012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.90 % (24012)Termination reason: Unknown
% 0.92/0.90 % (24012)Termination phase: Saturation
% 0.92/0.90
% 0.92/0.90 % (24012)Memory used [KB]: 1592
% 0.92/0.90 % (24012)Time elapsed: 0.078 s
% 0.92/0.90 % (24012)Instructions burned: 109 (million)
% 0.92/0.90 % (24012)------------------------------
% 0.92/0.90 % (24012)------------------------------
% 0.92/0.90 % (24021)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 0.92/0.90 % (24020)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 0.92/0.91 % (24022)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 0.92/0.91 % (24022)Refutation not found, incomplete strategy% (24022)------------------------------
% 0.92/0.91 % (24022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.91 % (24022)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.91
% 0.92/0.91 % (24022)Memory used [KB]: 1040
% 0.92/0.91 % (24022)Time elapsed: 0.003 s
% 0.92/0.91 % (24022)Instructions burned: 3 (million)
% 0.92/0.91 % (24022)------------------------------
% 0.92/0.91 % (24022)------------------------------
% 0.92/0.91 % (24018)Instruction limit reached!
% 0.92/0.91 % (24018)------------------------------
% 0.92/0.91 % (24018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.91 % (24018)Termination reason: Unknown
% 0.92/0.91 % (24018)Termination phase: Saturation
% 0.92/0.91
% 0.92/0.91 % (24018)Memory used [KB]: 1502
% 0.92/0.91 % (24018)Time elapsed: 0.034 s
% 0.92/0.91 % (24018)Instructions burned: 81 (million)
% 0.92/0.91 % (24018)------------------------------
% 0.92/0.91 % (24018)------------------------------
% 0.92/0.91 % (24023)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 0.92/0.92 % (24023)Refutation not found, incomplete strategy% (24023)------------------------------
% 0.92/0.92 % (24023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.92 % (24023)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.92
% 0.92/0.92 % (24023)Memory used [KB]: 968
% 0.92/0.92 % (24023)Time elapsed: 0.002 s
% 0.92/0.92 % (24023)Instructions burned: 3 (million)
% 0.92/0.92 % (24023)------------------------------
% 0.92/0.92 % (24023)------------------------------
% 0.92/0.92 % (24024)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 0.92/0.92 % (24025)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 0.92/0.93 % (24021)Instruction limit reached!
% 0.92/0.93 % (24021)------------------------------
% 0.92/0.93 % (24021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/0.93 % (24021)Termination reason: Unknown
% 0.92/0.93 % (24021)Termination phase: Saturation
% 0.92/0.93
% 0.92/0.93 % (24021)Memory used [KB]: 1591
% 0.92/0.93 % (24021)Time elapsed: 0.028 s
% 0.92/0.93 % (24021)Instructions burned: 48 (million)
% 0.92/0.93 % (24021)------------------------------
% 0.92/0.93 % (24021)------------------------------
% 1.43/0.93 % (24020)Instruction limit reached!
% 1.43/0.93 % (24020)------------------------------
% 1.43/0.93 % (24020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.93 % (24020)Termination reason: Unknown
% 1.43/0.93 % (24020)Termination phase: Saturation
% 1.43/0.93
% 1.43/0.93 % (24020)Memory used [KB]: 1294
% 1.43/0.93 % (24020)Time elapsed: 0.049 s
% 1.43/0.93 % (24020)Instructions burned: 56 (million)
% 1.43/0.93 % (24020)------------------------------
% 1.43/0.93 % (24020)------------------------------
% 1.43/0.93 % (24027)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 1.43/0.94 % (24026)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2994ds/119Mi)
% 1.43/0.94 % (24024)Instruction limit reached!
% 1.43/0.94 % (24024)------------------------------
% 1.43/0.94 % (24024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.94 % (24024)Termination reason: Unknown
% 1.43/0.94 % (24024)Termination phase: Saturation
% 1.43/0.94
% 1.43/0.94 % (24024)Memory used [KB]: 1128
% 1.43/0.94 % (24024)Time elapsed: 0.045 s
% 1.43/0.94 % (24024)Instructions burned: 56 (million)
% 1.43/0.94 % (24024)------------------------------
% 1.43/0.94 % (24024)------------------------------
% 1.43/0.94 % (24017)Instruction limit reached!
% 1.43/0.94 % (24017)------------------------------
% 1.43/0.94 % (24017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.94 % (24017)Termination reason: Unknown
% 1.43/0.94 % (24017)Termination phase: Saturation
% 1.43/0.94
% 1.43/0.94 % (24017)Memory used [KB]: 2097
% 1.43/0.94 % (24017)Time elapsed: 0.066 s
% 1.43/0.94 % (24017)Instructions burned: 162 (million)
% 1.43/0.94 % (24017)------------------------------
% 1.43/0.94 % (24017)------------------------------
% 1.43/0.94 % (24029)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2994ds/49Mi)
% 1.43/0.95 % (24028)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2994ds/117Mi)
% 1.43/0.96 % (24025)Instruction limit reached!
% 1.43/0.96 % (24025)------------------------------
% 1.43/0.96 % (24025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.96 % (24025)Termination reason: Unknown
% 1.43/0.96 % (24025)Termination phase: Saturation
% 1.43/0.96
% 1.43/0.96 % (24025)Memory used [KB]: 1488
% 1.43/0.96 % (24025)Time elapsed: 0.040 s
% 1.43/0.96 % (24025)Instructions burned: 83 (million)
% 1.43/0.96 % (24025)------------------------------
% 1.43/0.96 % (24025)------------------------------
% 1.43/0.96 % (24029)Instruction limit reached!
% 1.43/0.96 % (24029)------------------------------
% 1.43/0.96 % (24029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.96 % (24029)Termination reason: Unknown
% 1.43/0.96 % (24029)Termination phase: Saturation
% 1.43/0.96
% 1.43/0.96 % (24029)Memory used [KB]: 1589
% 1.43/0.96 % (24029)Time elapsed: 0.021 s
% 1.43/0.96 % (24029)Instructions burned: 49 (million)
% 1.43/0.96 % (24029)------------------------------
% 1.43/0.96 % (24029)------------------------------
% 1.43/0.96 % (24030)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2994ds/51Mi)
% 1.43/0.97 % (24031)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2994ds/149Mi)
% 1.43/0.97 % (24031)Refutation not found, incomplete strategy% (24031)------------------------------
% 1.43/0.97 % (24031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.97 % (24031)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.97
% 1.43/0.97 % (24031)Memory used [KB]: 972
% 1.43/0.97 % (24031)Time elapsed: 0.002 s
% 1.43/0.97 % (24031)Instructions burned: 3 (million)
% 1.43/0.97 % (24031)------------------------------
% 1.43/0.97 % (24031)------------------------------
% 1.43/0.97 % (24032)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2994ds/56Mi)
% 1.43/0.98 % (24016)First to succeed.
% 1.43/0.98 % (24016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23984"
% 1.43/0.98 % (24016)Refutation found. Thanks to Tanya!
% 1.43/0.98 % SZS status Theorem for Vampire---4
% 1.43/0.98 % SZS output start Proof for Vampire---4
% See solution above
% 1.74/0.99 % (24016)------------------------------
% 1.74/0.99 % (24016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.74/0.99 % (24016)Termination reason: Refutation
% 1.74/0.99
% 1.74/0.99 % (24016)Memory used [KB]: 2609
% 1.74/0.99 % (24016)Time elapsed: 0.120 s
% 1.74/0.99 % (24016)Instructions burned: 259 (million)
% 1.74/0.99 % (23984)Success in time 0.616 s
% 1.74/0.99 % Vampire---4.8 exiting
%------------------------------------------------------------------------------