TSTP Solution File: NUM861+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM861+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 18:02:41 EDT 2022
% Result : Theorem 2.73s 0.71s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 30
% Syntax : Number of formulae : 226 ( 3 unt; 0 def)
% Number of atoms : 703 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 816 ( 339 ~; 371 |; 64 &)
% ( 30 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 272 ( 247 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2317,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f107,f121,f148,f559,f722,f737,f758,f947,f1003,f1071,f1407,f1489,f1562,f1588,f1663,f1674,f1675,f1810,f2202,f2316]) ).
fof(f2316,plain,
( spl6_3
| ~ spl6_12
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
fof(f2315,plain,
( $false
| spl6_3
| ~ spl6_12
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f2304,f2078]) ).
fof(f2078,plain,
( ! [X0] : lesseq(sum(X0,sK3),sum(X0,sK1(sK4,sK3,sK5)))
| ~ spl6_12 ),
inference(unit_resulting_resolution,[],[f1801,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( lesseq(sum(X1,X2),sum(X1,X0))
| ~ lesseq(X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( lesseq(X2,X0)
| ~ lesseq(sum(X1,X2),sum(X1,X0)) )
& ( lesseq(sum(X1,X2),sum(X1,X0))
| ~ lesseq(X2,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0,X2,X1] :
( ( lesseq(X1,X0)
| ~ lesseq(sum(X2,X1),sum(X2,X0)) )
& ( lesseq(sum(X2,X1),sum(X2,X0))
| ~ lesseq(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X2,X1] :
( lesseq(X1,X0)
<=> lesseq(sum(X2,X1),sum(X2,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( lesseq(X0,X1)
<=> lesseq(sum(X2,X0),sum(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_monotone_1) ).
fof(f1801,plain,
( lesseq(sK3,sK1(sK4,sK3,sK5))
| ~ spl6_12 ),
inference(unit_resulting_resolution,[],[f1679,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ ub(X2,X1,X0)
| lesseq(X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ub(X2,X1,X0)
| ~ lesseq(X1,X0)
| ~ lesseq(X2,X0) )
& ( ( lesseq(X1,X0)
& lesseq(X2,X0) )
| ~ ub(X2,X1,X0) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( ( ub(X0,X2,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X0,X1) )
& ( ( lesseq(X2,X1)
& lesseq(X0,X1) )
| ~ ub(X0,X2,X1) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X1,X2,X0] :
( ( ub(X0,X2,X1)
| ~ lesseq(X2,X1)
| ~ lesseq(X0,X1) )
& ( ( lesseq(X2,X1)
& lesseq(X0,X1) )
| ~ ub(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X2,X0] :
( ub(X0,X2,X1)
<=> ( lesseq(X2,X1)
& lesseq(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ub(X0,X1,X2)
<=> ( lesseq(X1,X2)
& lesseq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
fof(f1679,plain,
( ub(sK3,sK5,sK1(sK4,sK3,sK5))
| ~ spl6_12 ),
inference(unit_resulting_resolution,[],[f731,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ model_ub(X1,X2,X0)
| ub(X1,X2,sK1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( lesseq(sum(c,sK1(X0,X1,X2)),X0)
& ub(X1,X2,sK1(X0,X1,X2)) )
| ~ model_ub(X1,X2,X0) )
& ( model_ub(X1,X2,X0)
| ! [X4] :
( ~ lesseq(sum(c,X4),X0)
| ~ ub(X1,X2,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ? [X3] :
( lesseq(sum(c,X3),X0)
& ub(X1,X2,X3) )
=> ( lesseq(sum(c,sK1(X0,X1,X2)),X0)
& ub(X1,X2,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( lesseq(sum(c,X3),X0)
& ub(X1,X2,X3) )
| ~ model_ub(X1,X2,X0) )
& ( model_ub(X1,X2,X0)
| ! [X4] :
( ~ lesseq(sum(c,X4),X0)
| ~ ub(X1,X2,X4) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( ( ? [X3] :
( lesseq(sum(c,X3),X1)
& ub(X2,X0,X3) )
| ~ model_ub(X2,X0,X1) )
& ( model_ub(X2,X0,X1)
| ! [X3] :
( ~ lesseq(sum(c,X3),X1)
| ~ ub(X2,X0,X3) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ? [X3] :
( lesseq(sum(c,X3),X1)
& ub(X2,X0,X3) )
<=> model_ub(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3,X0] :
( model_ub(X0,X1,X3)
<=> ? [X2] :
( ub(X0,X1,X2)
& lesseq(sum(c,X2),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_4) ).
fof(f731,plain,
( model_ub(sK3,sK5,sK4)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl6_12
<=> model_ub(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f2304,plain,
( ~ lesseq(sum(c,sK3),sum(c,sK1(sK4,sK3,sK5)))
| spl6_3
| ~ spl6_12
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f2219,f1677,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ lesseq(X1,X2)
| ~ lesseq(X0,X1)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ lesseq(X0,X1)
| lesseq(X0,X2)
| ~ lesseq(X1,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ~ lesseq(X1,X2)
| lesseq(X1,X0)
| ~ lesseq(X2,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( lesseq(X1,X0)
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1] :
( ( lesseq(X1,X2)
& lesseq(X2,X0) )
=> lesseq(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ( lesseq(X0,X1)
& lesseq(X1,X2) )
=> lesseq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans) ).
fof(f1677,plain,
( lesseq(sum(c,sK1(sK4,sK3,sK5)),sK4)
| ~ spl6_12 ),
inference(unit_resulting_resolution,[],[f731,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ model_ub(X1,X2,X0)
| lesseq(sum(c,sK1(X0,X1,X2)),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f2219,plain,
( ~ lesseq(sum(c,sK3),sK4)
| spl6_3
| ~ spl6_17 ),
inference(forward_demodulation,[],[f2215,f1708]) ).
fof(f1708,plain,
( sK3 = max(sK3,sK5)
| ~ spl6_17 ),
inference(resolution,[],[f1220,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X1,X0) = X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( max(X1,X0) = X1
| ~ lesseq(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( max(X0,X1) = X0
| ~ lesseq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
fof(f1220,plain,
( lesseq(sK5,sK3)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1219,plain,
( spl6_17
<=> lesseq(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f2215,plain,
( ~ lesseq(sum(c,max(sK3,sK5)),sK4)
| spl6_3 ),
inference(resolution,[],[f116,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( model_max(X0,X2,X1)
| ~ lesseq(sum(c,max(X0,X2)),X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( lesseq(sum(c,max(X0,X2)),X1)
| ~ model_max(X0,X2,X1) )
& ( model_max(X0,X2,X1)
| ~ lesseq(sum(c,max(X0,X2)),X1) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( lesseq(sum(c,max(X2,X1)),X0)
| ~ model_max(X2,X1,X0) )
& ( model_max(X2,X1,X0)
| ~ lesseq(sum(c,max(X2,X1)),X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( lesseq(sum(c,max(X2,X1)),X0)
<=> model_max(X2,X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X1,X0] :
( model_max(X0,X1,X3)
<=> lesseq(sum(c,max(X0,X1)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_4) ).
fof(f116,plain,
( ~ model_max(sK3,sK5,sK4)
| spl6_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl6_3
<=> model_max(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f2202,plain,
( ~ spl6_1
| spl6_13
| ~ spl6_14
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f2201]) ).
fof(f2201,plain,
( $false
| ~ spl6_1
| spl6_13
| ~ spl6_14
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f2194,f1867]) ).
fof(f1867,plain,
( ~ lesseq(sK4,sum(c,sK1(sK2(sK5,sK4,sK3),sK3,sK5)))
| spl6_13
| ~ spl6_14 ),
inference(unit_resulting_resolution,[],[f1102,f736,f82]) ).
fof(f736,plain,
( ~ lesseq(sK4,sK2(sK5,sK4,sK3))
| spl6_13 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f734,plain,
( spl6_13
<=> lesseq(sK4,sK2(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f1102,plain,
( lesseq(sum(c,sK1(sK2(sK5,sK4,sK3),sK3,sK5)),sK2(sK5,sK4,sK3))
| ~ spl6_14 ),
inference(resolution,[],[f757,f69]) ).
fof(f757,plain,
( model_ub(sK3,sK5,sK2(sK5,sK4,sK3))
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f755,plain,
( spl6_14
<=> model_ub(sK3,sK5,sK2(sK5,sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f2194,plain,
( lesseq(sK4,sum(c,sK1(sK2(sK5,sK4,sK3),sK3,sK5)))
| ~ spl6_1
| ~ spl6_14
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f1191,f1964]) ).
fof(f1964,plain,
( ! [X0] :
( lesseq(sK4,sum(c,X0))
| ~ lesseq(sK3,X0) )
| ~ spl6_1
| ~ spl6_17 ),
inference(resolution,[],[f1879,f83]) ).
fof(f1879,plain,
( ! [X0] :
( ~ lesseq(sum(c,sK3),X0)
| lesseq(sK4,X0) )
| ~ spl6_1
| ~ spl6_17 ),
inference(forward_demodulation,[],[f1878,f1708]) ).
fof(f1878,plain,
( ! [X0] :
( lesseq(sK4,X0)
| ~ lesseq(sum(c,max(sK3,sK5)),X0) )
| ~ spl6_1 ),
inference(resolution,[],[f1816,f88]) ).
fof(f1816,plain,
( ! [X0] :
( ~ model_max(sK3,sK5,X0)
| lesseq(sK4,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f63]) ).
fof(f63,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_max(X1,X2,X0)
| ~ model_max(X1,X2,X4)
| lesseq(X0,X4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X1,X2,X0)
| ~ model_max(X1,X2,X0)
| ( ~ lesseq(X0,sK0(X0,X1,X2))
& model_max(X1,X2,sK0(X0,X1,X2)) ) )
& ( ( model_max(X1,X2,X0)
& ! [X4] :
( lesseq(X0,X4)
| ~ model_max(X1,X2,X4) ) )
| ~ minsol_model_max(X1,X2,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ lesseq(X0,X3)
& model_max(X1,X2,X3) )
=> ( ~ lesseq(X0,sK0(X0,X1,X2))
& model_max(X1,X2,sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X1,X2,X0)
| ~ model_max(X1,X2,X0)
| ? [X3] :
( ~ lesseq(X0,X3)
& model_max(X1,X2,X3) ) )
& ( ( model_max(X1,X2,X0)
& ! [X4] :
( lesseq(X0,X4)
| ~ model_max(X1,X2,X4) ) )
| ~ minsol_model_max(X1,X2,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( minsol_model_max(X1,X0,X2)
| ~ model_max(X1,X0,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X1,X0,X3) ) )
& ( ( model_max(X1,X0,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X1,X0,X3) ) )
| ~ minsol_model_max(X1,X0,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( ( minsol_model_max(X1,X0,X2)
| ~ model_max(X1,X0,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X1,X0,X3) ) )
& ( ( model_max(X1,X0,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X1,X0,X3) ) )
| ~ minsol_model_max(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X1,X0] :
( minsol_model_max(X1,X0,X2)
<=> ( model_max(X1,X0,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X1,X0,X3) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ( model_max(X1,X0,X2)
& ! [X3] :
( model_max(X1,X0,X3)
=> lesseq(X2,X3) ) )
<=> minsol_model_max(X1,X0,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0,X3] :
( minsol_model_max(X0,X1,X3)
<=> ( model_max(X0,X1,X3)
& ! [X2] :
( model_max(X0,X1,X2)
=> lesseq(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f93,plain,
( minsol_model_max(sK3,sK5,sK4)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl6_1
<=> minsol_model_max(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f1191,plain,
( lesseq(sK3,sK1(sK2(sK5,sK4,sK3),sK3,sK5))
| ~ spl6_14 ),
inference(unit_resulting_resolution,[],[f1103,f85]) ).
fof(f1103,plain,
( ub(sK3,sK5,sK1(sK2(sK5,sK4,sK3),sK3,sK5))
| ~ spl6_14 ),
inference(resolution,[],[f757,f68]) ).
fof(f1810,plain,
( ~ spl6_2
| spl6_4
| ~ spl6_5
| ~ spl6_17 ),
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1809,plain,
( $false
| ~ spl6_2
| spl6_4
| ~ spl6_5
| ~ spl6_17 ),
inference(subsumption_resolution,[],[f1807,f1710]) ).
fof(f1710,plain,
( lesseq(sum(c,sK3),sK0(sK4,sK3,sK5))
| ~ spl6_5
| ~ spl6_17 ),
inference(backward_demodulation,[],[f1481,f1708]) ).
fof(f1481,plain,
( lesseq(sum(c,max(sK3,sK5)),sK0(sK4,sK3,sK5))
| ~ spl6_5 ),
inference(resolution,[],[f147,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ model_max(X0,X2,X1)
| lesseq(sum(c,max(X0,X2)),X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f147,plain,
( model_max(sK3,sK5,sK0(sK4,sK3,sK5))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl6_5
<=> model_max(sK3,sK5,sK0(sK4,sK3,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f1807,plain,
( ~ lesseq(sum(c,sK3),sK0(sK4,sK3,sK5))
| ~ spl6_2
| spl6_4
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f1702,f1732,f67]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( model_ub(X1,X2,X0)
| ~ lesseq(sum(c,X4),X0)
| ~ ub(X1,X2,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f1732,plain,
( ~ model_ub(sK3,sK5,sK0(sK4,sK3,sK5))
| ~ spl6_2
| spl6_4 ),
inference(unit_resulting_resolution,[],[f120,f1443]) ).
fof(f1443,plain,
( ! [X0] :
( ~ model_ub(sK3,sK5,X0)
| lesseq(sK4,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f97,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ minsol_model_ub(X2,X0,X1)
| lesseq(X1,X3)
| ~ model_ub(X2,X0,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ( model_ub(X2,X0,X1)
& ! [X3] :
( ~ model_ub(X2,X0,X3)
| lesseq(X1,X3) ) )
| ~ minsol_model_ub(X2,X0,X1) )
& ( minsol_model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1)
| ( model_ub(X2,X0,sK2(X0,X1,X2))
& ~ lesseq(X1,sK2(X0,X1,X2)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ? [X4] :
( model_ub(X2,X0,X4)
& ~ lesseq(X1,X4) )
=> ( model_ub(X2,X0,sK2(X0,X1,X2))
& ~ lesseq(X1,sK2(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ( model_ub(X2,X0,X1)
& ! [X3] :
( ~ model_ub(X2,X0,X3)
| lesseq(X1,X3) ) )
| ~ minsol_model_ub(X2,X0,X1) )
& ( minsol_model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1)
| ? [X4] :
( model_ub(X2,X0,X4)
& ~ lesseq(X1,X4) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ( ( model_ub(X2,X1,X0)
& ! [X3] :
( ~ model_ub(X2,X1,X3)
| lesseq(X0,X3) ) )
| ~ minsol_model_ub(X2,X1,X0) )
& ( minsol_model_ub(X2,X1,X0)
| ~ model_ub(X2,X1,X0)
| ? [X3] :
( model_ub(X2,X1,X3)
& ~ lesseq(X0,X3) ) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2] :
( ( ( model_ub(X2,X1,X0)
& ! [X3] :
( ~ model_ub(X2,X1,X3)
| lesseq(X0,X3) ) )
| ~ minsol_model_ub(X2,X1,X0) )
& ( minsol_model_ub(X2,X1,X0)
| ~ model_ub(X2,X1,X0)
| ? [X3] :
( model_ub(X2,X1,X3)
& ~ lesseq(X0,X3) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ( model_ub(X2,X1,X0)
& ! [X3] :
( ~ model_ub(X2,X1,X3)
| lesseq(X0,X3) ) )
<=> minsol_model_ub(X2,X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( ( model_ub(X2,X1,X0)
& ! [X3] :
( model_ub(X2,X1,X3)
=> lesseq(X0,X3) ) )
<=> minsol_model_ub(X2,X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X1,X0] :
( minsol_model_ub(X0,X1,X3)
<=> ( model_ub(X0,X1,X3)
& ! [X2] :
( model_ub(X0,X1,X2)
=> lesseq(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f97,plain,
( minsol_model_ub(sK3,sK5,sK4)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl6_2
<=> minsol_model_ub(sK3,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f120,plain,
( ~ lesseq(sK4,sK0(sK4,sK3,sK5))
| spl6_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl6_4
<=> lesseq(sK4,sK0(sK4,sK3,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f1702,plain,
( ub(sK3,sK5,sK3)
| ~ spl6_17 ),
inference(unit_resulting_resolution,[],[f78,f1220,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ub(X2,X1,X0)
| ~ lesseq(X1,X0)
| ~ lesseq(X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f78,plain,
! [X0] : lesseq(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : lesseq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref) ).
fof(f1675,plain,
( spl6_12
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f1439,f95,f730]) ).
fof(f1439,plain,
( model_ub(sK3,sK5,sK4)
| ~ spl6_2 ),
inference(unit_resulting_resolution,[],[f97,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ minsol_model_ub(X2,X0,X1)
| model_ub(X2,X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1674,plain,
( spl6_16
| spl6_17 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| spl6_16
| spl6_17 ),
inference(subsumption_resolution,[],[f1229,f946]) ).
fof(f946,plain,
( ~ lesseq(sK3,sK5)
| spl6_16 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl6_16
<=> lesseq(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f1229,plain,
( lesseq(sK3,sK5)
| spl6_17 ),
inference(unit_resulting_resolution,[],[f1221,f75]) ).
fof(f75,plain,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( lesseq(X0,X1)
| lesseq(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( lesseq(X1,X0)
| lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total) ).
fof(f1221,plain,
( ~ lesseq(sK5,sK3)
| spl6_17 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1663,plain,
( spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1662,plain,
( $false
| spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1661,f78]) ).
fof(f1661,plain,
( ~ lesseq(sum(c,sK5),sum(c,sK5))
| spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1577,f554]) ).
fof(f554,plain,
( sK5 = sK1(sK4,sK3,sK5)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl6_6
<=> sK5 = sK1(sK4,sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f1577,plain,
( ~ lesseq(sum(c,sK5),sum(c,sK1(sK4,sK3,sK5)))
| spl6_3
| ~ spl6_12
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f1079,f1567,f82]) ).
fof(f1567,plain,
( ~ lesseq(sum(c,sK5),sK4)
| spl6_3
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1566,f1030]) ).
fof(f1030,plain,
( sK5 = max(sK3,sK5)
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f945,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X1,X0) = X0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( max(X1,X0) = X0
| ~ lesseq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( max(X0,X1) = X1
| ~ lesseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
fof(f945,plain,
( lesseq(sK3,sK5)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f1566,plain,
( ~ lesseq(sum(c,max(sK3,sK5)),sK4)
| spl6_3 ),
inference(resolution,[],[f116,f88]) ).
fof(f1079,plain,
( lesseq(sum(c,sK1(sK4,sK3,sK5)),sK4)
| ~ spl6_12 ),
inference(resolution,[],[f731,f69]) ).
fof(f1588,plain,
( spl6_3
| spl6_7
| ~ spl6_12
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| spl6_3
| spl6_7
| ~ spl6_12
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1577,f745]) ).
fof(f745,plain,
( ! [X0] : lesseq(sum(X0,sK5),sum(X0,sK1(sK4,sK3,sK5)))
| spl6_7 ),
inference(unit_resulting_resolution,[],[f569,f83]) ).
fof(f569,plain,
( lesseq(sK5,sK1(sK4,sK3,sK5))
| spl6_7 ),
inference(resolution,[],[f558,f75]) ).
fof(f558,plain,
( ~ lesseq(sK1(sK4,sK3,sK5),sK5)
| spl6_7 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl6_7
<=> lesseq(sK1(sK4,sK3,sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f1562,plain,
( ~ spl6_2
| spl6_15
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| ~ spl6_2
| spl6_15
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1545,f1105]) ).
fof(f1105,plain,
( model_ub(sK3,sK5,sum(c,sK5))
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f78,f1041,f67]) ).
fof(f1041,plain,
( ub(sK3,sK5,sK5)
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f78,f945,f87]) ).
fof(f1545,plain,
( ~ model_ub(sK3,sK5,sum(c,sK5))
| ~ spl6_2
| spl6_15 ),
inference(unit_resulting_resolution,[],[f941,f1443]) ).
fof(f941,plain,
( ~ lesseq(sK4,sum(c,sK5))
| spl6_15 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl6_15
<=> lesseq(sK4,sum(c,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f1489,plain,
( ~ spl6_3
| spl6_4
| ~ spl6_5
| ~ spl6_15
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| ~ spl6_3
| spl6_4
| ~ spl6_5
| ~ spl6_15
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1487,f120]) ).
fof(f1487,plain,
( lesseq(sK4,sK0(sK4,sK3,sK5))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_15
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1486,f1421]) ).
fof(f1421,plain,
( sum(c,sK5) = sK4
| ~ spl6_3
| ~ spl6_15
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1420,f1030]) ).
fof(f1420,plain,
( sK4 = sum(c,max(sK3,sK5))
| ~ spl6_3
| ~ spl6_15
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1419,f942]) ).
fof(f942,plain,
( lesseq(sK4,sum(c,sK5))
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1419,plain,
( sK4 = sum(c,max(sK3,sK5))
| ~ lesseq(sK4,sum(c,sK5))
| ~ spl6_3
| ~ spl6_16 ),
inference(forward_demodulation,[],[f790,f1030]) ).
fof(f790,plain,
( ~ lesseq(sK4,sum(c,max(sK3,sK5)))
| sK4 = sum(c,max(sK3,sK5))
| ~ spl6_3 ),
inference(resolution,[],[f723,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| ~ lesseq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( X0 = X1
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( lesseq(X0,X1)
& lesseq(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f723,plain,
( lesseq(sum(c,max(sK3,sK5)),sK4)
| ~ spl6_3 ),
inference(unit_resulting_resolution,[],[f115,f89]) ).
fof(f115,plain,
( model_max(sK3,sK5,sK4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f1486,plain,
( lesseq(sum(c,sK5),sK0(sK4,sK3,sK5))
| ~ spl6_5
| ~ spl6_16 ),
inference(forward_demodulation,[],[f1479,f1030]) ).
fof(f1479,plain,
( lesseq(sum(c,max(sK3,sK5)),sK0(sK4,sK3,sK5))
| ~ spl6_5 ),
inference(unit_resulting_resolution,[],[f147,f89]) ).
fof(f1407,plain,
( ~ spl6_1
| spl6_13
| ~ spl6_14
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| ~ spl6_1
| spl6_13
| ~ spl6_14
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1399,f1200]) ).
fof(f1200,plain,
( ~ lesseq(sK4,sum(c,sK1(sK2(sK5,sK4,sK3),sK3,sK5)))
| spl6_13
| ~ spl6_14 ),
inference(unit_resulting_resolution,[],[f736,f1102,f82]) ).
fof(f1399,plain,
( lesseq(sK4,sum(c,sK1(sK2(sK5,sK4,sK3),sK3,sK5)))
| ~ spl6_1
| ~ spl6_14
| ~ spl6_16 ),
inference(resolution,[],[f1192,f1049]) ).
fof(f1049,plain,
( ! [X0] :
( ~ lesseq(sK5,X0)
| lesseq(sK4,sum(c,X0)) )
| ~ spl6_1
| ~ spl6_16 ),
inference(backward_demodulation,[],[f795,f1030]) ).
fof(f795,plain,
( ! [X0] :
( ~ lesseq(max(sK3,sK5),X0)
| lesseq(sK4,sum(c,X0)) )
| ~ spl6_1 ),
inference(resolution,[],[f728,f83]) ).
fof(f728,plain,
( ! [X0] :
( ~ lesseq(sum(c,max(sK3,sK5)),X0)
| lesseq(sK4,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f719,f88]) ).
fof(f719,plain,
( ! [X0] :
( ~ model_max(sK3,sK5,X0)
| lesseq(sK4,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f93,f63]) ).
fof(f1192,plain,
( lesseq(sK5,sK1(sK2(sK5,sK4,sK3),sK3,sK5))
| ~ spl6_14 ),
inference(resolution,[],[f1103,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ ub(X2,X1,X0)
| lesseq(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f1071,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_12
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| spl6_12
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f1068,f78]) ).
fof(f1068,plain,
( ~ lesseq(sK4,sK4)
| ~ spl6_1
| ~ spl6_3
| spl6_12
| ~ spl6_16 ),
inference(backward_demodulation,[],[f1029,f1051]) ).
fof(f1051,plain,
( sum(c,sK5) = sK4
| ~ spl6_1
| ~ spl6_3
| ~ spl6_16 ),
inference(backward_demodulation,[],[f819,f1030]) ).
fof(f819,plain,
( sK4 = sum(c,max(sK3,sK5))
| ~ spl6_1
| ~ spl6_3 ),
inference(forward_demodulation,[],[f805,f788]) ).
fof(f788,plain,
( max(sum(c,max(sK3,sK5)),sK4) = sK4
| ~ spl6_3 ),
inference(resolution,[],[f723,f62]) ).
fof(f805,plain,
( max(sum(c,max(sK3,sK5)),sK4) = sum(c,max(sK3,sK5))
| ~ spl6_1 ),
inference(unit_resulting_resolution,[],[f797,f79]) ).
fof(f797,plain,
( lesseq(sK4,sum(c,max(sK3,sK5)))
| ~ spl6_1 ),
inference(resolution,[],[f728,f78]) ).
fof(f1029,plain,
( ~ lesseq(sum(c,sK5),sK4)
| spl6_12
| ~ spl6_16 ),
inference(unit_resulting_resolution,[],[f78,f945,f792]) ).
fof(f792,plain,
( ! [X0] :
( ~ lesseq(sum(c,X0),sK4)
| ~ lesseq(sK3,X0)
| ~ lesseq(sK5,X0) )
| spl6_12 ),
inference(resolution,[],[f739,f87]) ).
fof(f739,plain,
( ! [X0] :
( ~ ub(sK3,sK5,X0)
| ~ lesseq(sum(c,X0),sK4) )
| spl6_12 ),
inference(resolution,[],[f732,f67]) ).
fof(f732,plain,
( ~ model_ub(sK3,sK5,sK4)
| spl6_12 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1003,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_12
| spl6_16 ),
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1002,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| spl6_12
| spl6_16 ),
inference(subsumption_resolution,[],[f1001,f78]) ).
fof(f1001,plain,
( ~ lesseq(sK4,sK4)
| ~ spl6_1
| ~ spl6_3
| spl6_12
| spl6_16 ),
inference(forward_demodulation,[],[f960,f983]) ).
fof(f983,plain,
( sK4 = sum(c,sK3)
| ~ spl6_1
| ~ spl6_3
| spl6_16 ),
inference(backward_demodulation,[],[f819,f978]) ).
fof(f978,plain,
( sK3 = max(sK3,sK5)
| spl6_16 ),
inference(resolution,[],[f957,f79]) ).
fof(f957,plain,
( lesseq(sK5,sK3)
| spl6_16 ),
inference(resolution,[],[f946,f75]) ).
fof(f960,plain,
( ~ lesseq(sum(c,sK3),sK4)
| spl6_12
| spl6_16 ),
inference(unit_resulting_resolution,[],[f78,f957,f792]) ).
fof(f947,plain,
( spl6_15
| ~ spl6_16
| spl6_12 ),
inference(avatar_split_clause,[],[f934,f730,f944,f940]) ).
fof(f934,plain,
( ~ lesseq(sK3,sK5)
| lesseq(sK4,sum(c,sK5))
| spl6_12 ),
inference(resolution,[],[f903,f78]) ).
fof(f903,plain,
( ! [X0] :
( ~ lesseq(sK5,X0)
| lesseq(sK4,sum(c,X0))
| ~ lesseq(sK3,X0) )
| spl6_12 ),
inference(resolution,[],[f792,f75]) ).
fof(f758,plain,
( spl6_14
| ~ spl6_12
| spl6_2 ),
inference(avatar_split_clause,[],[f720,f95,f730,f755]) ).
fof(f720,plain,
( ~ model_ub(sK3,sK5,sK4)
| model_ub(sK3,sK5,sK2(sK5,sK4,sK3))
| spl6_2 ),
inference(resolution,[],[f96,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( minsol_model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1)
| model_ub(X2,X0,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
( ~ minsol_model_ub(sK3,sK5,sK4)
| spl6_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f737,plain,
( ~ spl6_12
| ~ spl6_13
| spl6_2 ),
inference(avatar_split_clause,[],[f721,f95,f734,f730]) ).
fof(f721,plain,
( ~ lesseq(sK4,sK2(sK5,sK4,sK3))
| ~ model_ub(sK3,sK5,sK4)
| spl6_2 ),
inference(resolution,[],[f96,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( minsol_model_ub(X2,X0,X1)
| ~ lesseq(X1,sK2(X0,X1,X2))
| ~ model_ub(X2,X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f722,plain,
( spl6_3
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f717,f91,f114]) ).
fof(f717,plain,
( model_max(sK3,sK5,sK4)
| ~ spl6_1 ),
inference(unit_resulting_resolution,[],[f93,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ minsol_model_max(X1,X2,X0)
| model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f559,plain,
( spl6_6
| ~ spl6_7
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f143,f95,f556,f552]) ).
fof(f143,plain,
( ~ lesseq(sK1(sK4,sK3,sK5),sK5)
| sK5 = sK1(sK4,sK3,sK5)
| ~ spl6_2 ),
inference(resolution,[],[f128,f74]) ).
fof(f128,plain,
( lesseq(sK5,sK1(sK4,sK3,sK5))
| ~ spl6_2 ),
inference(resolution,[],[f106,f86]) ).
fof(f106,plain,
( ub(sK3,sK5,sK1(sK4,sK3,sK5))
| ~ spl6_2 ),
inference(resolution,[],[f100,f68]) ).
fof(f100,plain,
( model_ub(sK3,sK5,sK4)
| ~ spl6_2 ),
inference(resolution,[],[f97,f73]) ).
fof(f148,plain,
( spl6_5
| ~ spl6_3
| spl6_1 ),
inference(avatar_split_clause,[],[f109,f91,f114,f145]) ).
fof(f109,plain,
( ~ model_max(sK3,sK5,sK4)
| model_max(sK3,sK5,sK0(sK4,sK3,sK5))
| spl6_1 ),
inference(resolution,[],[f92,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( minsol_model_max(X1,X2,X0)
| model_max(X1,X2,sK0(X0,X1,X2))
| ~ model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f92,plain,
( ~ minsol_model_max(sK3,sK5,sK4)
| spl6_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f121,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f108,f91,f118,f114]) ).
fof(f108,plain,
( ~ lesseq(sK4,sK0(sK4,sK3,sK5))
| ~ model_max(sK3,sK5,sK4)
| spl6_1 ),
inference(resolution,[],[f92,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( minsol_model_max(X1,X2,X0)
| ~ model_max(X1,X2,X0)
| ~ lesseq(X0,sK0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f107,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f81,f91,f95]) ).
fof(f81,plain,
( ~ minsol_model_max(sK3,sK5,sK4)
| ~ minsol_model_ub(sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( ~ minsol_model_max(sK3,sK5,sK4)
| ~ minsol_model_ub(sK3,sK5,sK4) )
& ( minsol_model_max(sK3,sK5,sK4)
| minsol_model_ub(sK3,sK5,sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X2,X1)
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| minsol_model_ub(X0,X2,X1) ) )
=> ( ( ~ minsol_model_max(sK3,sK5,sK4)
| ~ minsol_model_ub(sK3,sK5,sK4) )
& ( minsol_model_max(sK3,sK5,sK4)
| minsol_model_ub(sK3,sK5,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X2,X1)
| ~ minsol_model_ub(X0,X2,X1) )
& ( minsol_model_max(X0,X2,X1)
| minsol_model_ub(X0,X2,X1) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
? [X1,X0,X2] :
( ( ~ minsol_model_max(X1,X2,X0)
| ~ minsol_model_ub(X1,X2,X0) )
& ( minsol_model_max(X1,X2,X0)
| minsol_model_ub(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
? [X1,X0,X2] :
( minsol_model_ub(X1,X2,X0)
<~> minsol_model_max(X1,X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( minsol_model_max(X1,X2,X0)
<=> minsol_model_ub(X1,X2,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
<=> minsol_model_ub(X0,X1,X2) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X2,X0,X1] :
( minsol_model_max(X0,X1,X2)
<=> minsol_model_ub(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f98,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f80,f95,f91]) ).
fof(f80,plain,
( minsol_model_ub(sK3,sK5,sK4)
| minsol_model_max(sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM861+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:28:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (8697)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (8689)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (8689)Instruction limit reached!
% 0.19/0.50 % (8689)------------------------------
% 0.19/0.50 % (8689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8683)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (8689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8689)Termination reason: Unknown
% 0.19/0.50 % (8689)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (8689)Memory used [KB]: 5884
% 0.19/0.50 % (8689)Time elapsed: 0.005 s
% 0.19/0.50 % (8689)Instructions burned: 3 (million)
% 0.19/0.50 % (8689)------------------------------
% 0.19/0.50 % (8689)------------------------------
% 0.19/0.50 % (8681)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (8676)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (8684)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (8682)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (8675)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (8677)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (8677)Instruction limit reached!
% 0.19/0.52 % (8677)------------------------------
% 0.19/0.52 % (8677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8677)Termination reason: Unknown
% 0.19/0.52 % (8677)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8677)Memory used [KB]: 6012
% 0.19/0.52 % (8677)Time elapsed: 0.125 s
% 0.19/0.52 % (8677)Instructions burned: 3 (million)
% 0.19/0.52 % (8677)------------------------------
% 0.19/0.52 % (8677)------------------------------
% 0.19/0.52 % (8678)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (8678)Refutation not found, incomplete strategy% (8678)------------------------------
% 0.19/0.52 % (8678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8678)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8678)Memory used [KB]: 5884
% 0.19/0.52 % (8678)Time elapsed: 0.128 s
% 0.19/0.52 % (8678)------------------------------
% 0.19/0.52 % (8678)------------------------------
% 0.19/0.52 % (8692)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (8695)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (8679)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (8680)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (8692)Instruction limit reached!
% 0.19/0.52 % (8692)------------------------------
% 0.19/0.52 % (8692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8692)Termination reason: Unknown
% 0.19/0.52 % (8692)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (8692)Memory used [KB]: 5884
% 0.19/0.52 % (8692)Time elapsed: 0.004 s
% 0.19/0.52 % (8692)Instructions burned: 3 (million)
% 0.19/0.52 % (8692)------------------------------
% 0.19/0.52 % (8692)------------------------------
% 0.19/0.53 % (8686)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (8676)Refutation not found, incomplete strategy% (8676)------------------------------
% 0.19/0.53 % (8676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8676)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (8676)Memory used [KB]: 5884
% 0.19/0.53 % (8676)Time elapsed: 0.135 s
% 0.19/0.53 % (8676)Instructions burned: 2 (million)
% 0.19/0.53 % (8676)------------------------------
% 0.19/0.53 % (8676)------------------------------
% 0.19/0.53 % (8685)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (8696)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (8701)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (8701)Refutation not found, incomplete strategy% (8701)------------------------------
% 0.19/0.53 % (8701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8701)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (8701)Memory used [KB]: 6012
% 0.19/0.53 % (8701)Time elapsed: 0.139 s
% 0.19/0.53 % (8701)Instructions burned: 3 (million)
% 0.19/0.53 % (8701)------------------------------
% 0.19/0.53 % (8701)------------------------------
% 0.19/0.53 % (8698)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (8687)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (8685)Instruction limit reached!
% 0.19/0.53 % (8685)------------------------------
% 0.19/0.53 % (8685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8685)Termination reason: Unknown
% 0.19/0.53 % (8685)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8685)Memory used [KB]: 6140
% 0.19/0.53 % (8685)Time elapsed: 0.140 s
% 0.19/0.53 % (8685)Instructions burned: 12 (million)
% 0.19/0.53 % (8685)------------------------------
% 0.19/0.53 % (8685)------------------------------
% 0.19/0.53 % (8698)Refutation not found, incomplete strategy% (8698)------------------------------
% 0.19/0.53 % (8698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8698)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (8698)Memory used [KB]: 1535
% 0.19/0.53 % (8698)Time elapsed: 0.141 s
% 0.19/0.53 % (8698)Instructions burned: 3 (million)
% 0.19/0.53 % (8698)------------------------------
% 0.19/0.53 % (8698)------------------------------
% 0.19/0.53 % (8702)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (8690)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (8704)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (8694)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (8699)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (8686)Instruction limit reached!
% 0.19/0.54 % (8686)------------------------------
% 0.19/0.54 % (8686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8694)Refutation not found, incomplete strategy% (8694)------------------------------
% 0.19/0.54 % (8694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8694)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (8694)Memory used [KB]: 5884
% 0.19/0.54 % (8694)Time elapsed: 0.152 s
% 0.19/0.54 % (8694)Instructions burned: 2 (million)
% 0.19/0.54 % (8694)------------------------------
% 0.19/0.54 % (8694)------------------------------
% 0.19/0.54 % (8686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8686)Termination reason: Unknown
% 0.19/0.54 % (8686)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8686)Memory used [KB]: 6012
% 0.19/0.54 % (8686)Time elapsed: 0.130 s
% 0.19/0.54 % (8686)Instructions burned: 7 (million)
% 0.19/0.54 % (8686)------------------------------
% 0.19/0.54 % (8686)------------------------------
% 0.19/0.54 % (8703)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (8700)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (8690)Instruction limit reached!
% 0.19/0.54 % (8690)------------------------------
% 0.19/0.54 % (8690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8690)Termination reason: Unknown
% 0.19/0.54 % (8690)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8690)Memory used [KB]: 6012
% 0.19/0.54 % (8690)Time elapsed: 0.156 s
% 0.19/0.54 % (8690)Instructions burned: 8 (million)
% 0.19/0.54 % (8690)------------------------------
% 0.19/0.54 % (8690)------------------------------
% 0.19/0.54 % (8703)Refutation not found, incomplete strategy% (8703)------------------------------
% 0.19/0.54 % (8703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8703)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (8703)Memory used [KB]: 6012
% 0.19/0.54 % (8703)Time elapsed: 0.149 s
% 0.19/0.54 % (8703)Instructions burned: 3 (million)
% 0.19/0.54 % (8703)------------------------------
% 0.19/0.54 % (8703)------------------------------
% 0.19/0.54 % (8688)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (8688)Refutation not found, incomplete strategy% (8688)------------------------------
% 0.19/0.54 % (8688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8688)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (8688)Memory used [KB]: 5884
% 0.19/0.54 % (8688)Time elapsed: 0.150 s
% 0.19/0.54 % (8688)Instructions burned: 2 (million)
% 0.19/0.54 % (8688)------------------------------
% 0.19/0.54 % (8688)------------------------------
% 0.19/0.54 % (8691)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (8693)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (8693)Instruction limit reached!
% 0.19/0.55 % (8693)------------------------------
% 0.19/0.55 % (8693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8693)Termination reason: Unknown
% 0.19/0.55 % (8693)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8693)Memory used [KB]: 5884
% 0.19/0.55 % (8693)Time elapsed: 0.155 s
% 0.19/0.55 % (8693)Instructions burned: 3 (million)
% 0.19/0.55 % (8693)------------------------------
% 0.19/0.55 % (8693)------------------------------
% 0.19/0.55 % (8679)Instruction limit reached!
% 0.19/0.55 % (8679)------------------------------
% 0.19/0.55 % (8679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8679)Termination reason: Unknown
% 0.19/0.55 % (8679)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8679)Memory used [KB]: 6012
% 0.19/0.55 % (8679)Time elapsed: 0.144 s
% 0.19/0.55 % (8679)Instructions burned: 15 (million)
% 0.19/0.55 % (8679)------------------------------
% 0.19/0.55 % (8679)------------------------------
% 0.19/0.55 % (8680)Instruction limit reached!
% 0.19/0.55 % (8680)------------------------------
% 0.19/0.55 % (8680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8680)Termination reason: Unknown
% 0.19/0.55 % (8680)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8680)Memory used [KB]: 1535
% 0.19/0.55 % (8680)Time elapsed: 0.143 s
% 0.19/0.55 % (8680)Instructions burned: 15 (million)
% 0.19/0.55 % (8680)------------------------------
% 0.19/0.55 % (8680)------------------------------
% 0.19/0.55 % (8687)Instruction limit reached!
% 0.19/0.55 % (8687)------------------------------
% 0.19/0.55 % (8687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8687)Termination reason: Unknown
% 0.19/0.55 % (8687)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8687)Memory used [KB]: 1663
% 0.19/0.55 % (8687)Time elapsed: 0.150 s
% 0.19/0.55 % (8687)Instructions burned: 17 (million)
% 0.19/0.55 % (8687)------------------------------
% 0.19/0.55 % (8687)------------------------------
% 0.19/0.56 % (8681)Instruction limit reached!
% 0.19/0.56 % (8681)------------------------------
% 0.19/0.56 % (8681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8681)Termination reason: Unknown
% 0.19/0.56 % (8681)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (8681)Memory used [KB]: 6268
% 0.19/0.56 % (8681)Time elapsed: 0.121 s
% 0.19/0.56 % (8681)Instructions burned: 39 (million)
% 0.19/0.56 % (8681)------------------------------
% 0.19/0.56 % (8681)------------------------------
% 0.19/0.56 % (8684)Instruction limit reached!
% 0.19/0.56 % (8684)------------------------------
% 0.19/0.56 % (8684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8684)Termination reason: Unknown
% 0.19/0.56 % (8684)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (8684)Memory used [KB]: 6524
% 0.19/0.56 % (8684)Time elapsed: 0.171 s
% 0.19/0.56 % (8684)Instructions burned: 34 (million)
% 0.19/0.56 % (8684)------------------------------
% 0.19/0.56 % (8684)------------------------------
% 0.19/0.56 % (8704)Instruction limit reached!
% 0.19/0.56 % (8704)------------------------------
% 0.19/0.56 % (8704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8704)Termination reason: Unknown
% 0.19/0.56 % (8704)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (8704)Memory used [KB]: 6140
% 0.19/0.56 % (8704)Time elapsed: 0.146 s
% 0.19/0.56 % (8704)Instructions burned: 25 (million)
% 0.19/0.56 % (8704)------------------------------
% 0.19/0.56 % (8704)------------------------------
% 0.19/0.57 % (8695)Instruction limit reached!
% 0.19/0.57 % (8695)------------------------------
% 0.19/0.57 % (8695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (8695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (8695)Termination reason: Unknown
% 0.19/0.57 % (8695)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (8695)Memory used [KB]: 6268
% 0.19/0.57 % (8695)Time elapsed: 0.171 s
% 0.19/0.57 % (8695)Instructions burned: 31 (million)
% 0.19/0.57 % (8695)------------------------------
% 0.19/0.57 % (8695)------------------------------
% 0.19/0.58 % (8702)Instruction limit reached!
% 0.19/0.58 % (8702)------------------------------
% 0.19/0.58 % (8702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (8702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (8702)Termination reason: Unknown
% 0.19/0.58 % (8702)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (8702)Memory used [KB]: 6268
% 0.19/0.58 % (8702)Time elapsed: 0.163 s
% 0.19/0.58 % (8702)Instructions burned: 25 (million)
% 0.19/0.58 % (8702)------------------------------
% 0.19/0.58 % (8702)------------------------------
% 0.19/0.59 % (8682)Instruction limit reached!
% 0.19/0.59 % (8682)------------------------------
% 0.19/0.59 % (8682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (8682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (8682)Termination reason: Unknown
% 0.19/0.59 % (8682)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (8682)Memory used [KB]: 6524
% 0.19/0.59 % (8682)Time elapsed: 0.197 s
% 0.19/0.59 % (8682)Instructions burned: 40 (million)
% 0.19/0.59 % (8682)------------------------------
% 0.19/0.59 % (8682)------------------------------
% 0.19/0.60 % (8683)Instruction limit reached!
% 0.19/0.60 % (8683)------------------------------
% 0.19/0.60 % (8683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (8683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (8683)Termination reason: Unknown
% 0.19/0.60 % (8683)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (8683)Memory used [KB]: 6524
% 0.19/0.60 % (8683)Time elapsed: 0.208 s
% 0.19/0.60 % (8683)Instructions burned: 49 (million)
% 0.19/0.60 % (8683)------------------------------
% 0.19/0.60 % (8683)------------------------------
% 2.08/0.62 % (8699)Instruction limit reached!
% 2.08/0.62 % (8699)------------------------------
% 2.08/0.62 % (8699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.62 % (8699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.62 % (8699)Termination reason: Unknown
% 2.08/0.62 % (8699)Termination phase: Saturation
% 2.08/0.62
% 2.08/0.62 % (8699)Memory used [KB]: 6268
% 2.08/0.62 % (8699)Time elapsed: 0.232 s
% 2.08/0.62 % (8699)Instructions burned: 50 (million)
% 2.08/0.62 % (8699)------------------------------
% 2.08/0.62 % (8699)------------------------------
% 2.08/0.62 % (8691)Instruction limit reached!
% 2.08/0.62 % (8691)------------------------------
% 2.08/0.62 % (8691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63 % (8697)Instruction limit reached!
% 2.08/0.63 % (8697)------------------------------
% 2.08/0.63 % (8697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63 % (8697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63 % (8697)Termination reason: Unknown
% 2.08/0.63 % (8697)Termination phase: Saturation
% 2.08/0.63
% 2.08/0.63 % (8697)Memory used [KB]: 7675
% 2.08/0.63 % (8697)Time elapsed: 0.198 s
% 2.08/0.63 % (8697)Instructions burned: 83 (million)
% 2.08/0.63 % (8697)------------------------------
% 2.08/0.63 % (8697)------------------------------
% 2.08/0.63 % (8705)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.30/0.64 % (8691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.64 % (8691)Termination reason: Unknown
% 2.30/0.64 % (8691)Termination phase: Saturation
% 2.30/0.64
% 2.30/0.64 % (8691)Memory used [KB]: 6908
% 2.30/0.64 % (8691)Time elapsed: 0.238 s
% 2.30/0.64 % (8691)Instructions burned: 51 (million)
% 2.30/0.64 % (8691)------------------------------
% 2.30/0.64 % (8691)------------------------------
% 2.30/0.65 % (8706)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.30/0.65 % (8707)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.30/0.66 % (8711)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.30/0.66 % (8706)Refutation not found, incomplete strategy% (8706)------------------------------
% 2.30/0.66 % (8706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66 % (8711)Refutation not found, incomplete strategy% (8711)------------------------------
% 2.30/0.66 % (8711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66 % (8711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66 % (8711)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.66
% 2.30/0.66 % (8711)Memory used [KB]: 5884
% 2.30/0.66 % (8711)Time elapsed: 0.097 s
% 2.30/0.66 % (8711)Instructions burned: 2 (million)
% 2.30/0.66 % (8711)------------------------------
% 2.30/0.66 % (8711)------------------------------
% 2.30/0.66 % (8712)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.30/0.66 % (8709)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.30/0.66 % (8706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66 % (8706)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.66
% 2.30/0.66 % (8706)Memory used [KB]: 10362
% 2.30/0.66 % (8706)Time elapsed: 0.110 s
% 2.30/0.66 % (8706)Instructions burned: 2 (million)
% 2.30/0.66 % (8706)------------------------------
% 2.30/0.66 % (8706)------------------------------
% 2.30/0.67 % (8708)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.30/0.67 % (8715)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.30/0.67 % (8710)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.30/0.67 % (8714)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.30/0.68 % (8720)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.30/0.68 % (8719)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 2.30/0.68 % (8718)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/109Mi)
% 2.30/0.68 % (8716)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/131Mi)
% 2.30/0.69 % (8713)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.30/0.69 % (8717)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/93Mi)
% 2.30/0.69 % (8716)Refutation not found, incomplete strategy% (8716)------------------------------
% 2.30/0.69 % (8716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.69 % (8716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.69 % (8716)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.69
% 2.30/0.69 % (8716)Memory used [KB]: 6140
% 2.30/0.69 % (8716)Time elapsed: 0.130 s
% 2.30/0.69 % (8716)Instructions burned: 10 (million)
% 2.30/0.69 % (8716)------------------------------
% 2.30/0.69 % (8716)------------------------------
% 2.30/0.70 % (8722)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.30/0.70 % (8721)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.73/0.70 % (8723)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.73/0.70 % (8724)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.73/0.70 % (8718)Refutation not found, incomplete strategy% (8718)------------------------------
% 2.73/0.70 % (8718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.70 % (8718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.70 % (8718)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.70
% 2.73/0.70 % (8718)Memory used [KB]: 5884
% 2.73/0.70 % (8718)Time elapsed: 0.111 s
% 2.73/0.70 % (8718)Instructions burned: 3 (million)
% 2.73/0.70 % (8718)------------------------------
% 2.73/0.70 % (8718)------------------------------
% 2.73/0.71 % (8696)First to succeed.
% 2.73/0.71 % (8720)Instruction limit reached!
% 2.73/0.71 % (8720)------------------------------
% 2.73/0.71 % (8720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.71 % (8720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.71 % (8720)Termination reason: Unknown
% 2.73/0.71 % (8720)Termination phase: Saturation
% 2.73/0.71
% 2.73/0.71 % (8720)Memory used [KB]: 6140
% 2.73/0.71 % (8720)Time elapsed: 0.133 s
% 2.73/0.71 % (8720)Instructions burned: 16 (million)
% 2.73/0.71 % (8720)------------------------------
% 2.73/0.71 % (8720)------------------------------
% 2.73/0.71 % (8696)Refutation found. Thanks to Tanya!
% 2.73/0.71 % SZS status Theorem for theBenchmark
% 2.73/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/0.71 % (8696)------------------------------
% 2.73/0.71 % (8696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.71 % (8696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.71 % (8696)Termination reason: Refutation
% 2.73/0.71
% 2.73/0.71 % (8696)Memory used [KB]: 6652
% 2.73/0.71 % (8696)Time elapsed: 0.322 s
% 2.73/0.71 % (8696)Instructions burned: 86 (million)
% 2.73/0.71 % (8696)------------------------------
% 2.73/0.71 % (8696)------------------------------
% 2.73/0.71 % (8674)Success in time 0.369 s
%------------------------------------------------------------------------------