TSTP Solution File: GEO111+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:08:20 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 89 ( 18 unt; 0 def)
% Number of atoms : 361 ( 40 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 417 ( 145 ~; 131 |; 114 &)
% ( 16 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 162 ( 133 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f332,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f210,f221,f255,f273,f303,f329]) ).
fof(f329,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f327,f315]) ).
fof(f315,plain,
( ~ inner_point(sK14,sK8(sK16,sK13,sK14,sK14))
| ~ spl17_2 ),
inference(backward_demodulation,[],[f250,f160]) ).
fof(f160,plain,
( sK14 = sK15
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl17_2
<=> sK14 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f250,plain,
~ inner_point(sK14,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f187,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) )
& ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ( ( incident_c(X1,X0)
& ~ end_point(X1,X0) )
| ~ inner_point(X1,X0) )
& ( inner_point(X1,X0)
| ~ incident_c(X1,X0)
| end_point(X1,X0) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( ( incident_c(X1,X0)
& ~ end_point(X1,X0) )
| ~ inner_point(X1,X0) )
& ( inner_point(X1,X0)
| ~ incident_c(X1,X0)
| end_point(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( incident_c(X1,X0)
& ~ end_point(X1,X0) )
<=> inner_point(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2] :
( ( incident_c(X2,X0)
& ~ end_point(X2,X0) )
<=> inner_point(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f187,plain,
end_point(sK14,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f147,f139]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( end_point(X3,sK8(X0,X1,X2,X3))
| ~ between_c(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
| ( end_point(X3,sK8(X0,X1,X2,X3))
& part_of(sK8(X0,X1,X2,X3),X0)
& end_point(X1,sK8(X0,X1,X2,X3))
& inner_point(X2,sK8(X0,X1,X2,X3))
& X1 != X3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f87,f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( end_point(X3,X4)
& part_of(X4,X0)
& end_point(X1,X4)
& inner_point(X2,X4) )
=> ( end_point(X3,sK8(X0,X1,X2,X3))
& part_of(sK8(X0,X1,X2,X3),X0)
& end_point(X1,sK8(X0,X1,X2,X3))
& inner_point(X2,sK8(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
| ( ? [X4] :
( end_point(X3,X4)
& part_of(X4,X0)
& end_point(X1,X4)
& inner_point(X2,X4) )
& X1 != X3 ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X3,X1,X0,X2] :
( ~ between_c(X3,X2,X0,X1)
| ( ? [X4] :
( end_point(X2,X4)
& part_of(X4,X3)
& end_point(X1,X4)
& inner_point(X0,X4) )
& X1 != X2 ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X3,X1,X0] :
( between_c(X3,X2,X0,X1)
=> ( ? [X4] :
( end_point(X2,X4)
& part_of(X4,X3)
& end_point(X1,X4)
& inner_point(X0,X4) )
& X1 != X2 ) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f28,plain,
! [X2,X3,X1,X0] :
( ( ? [X4] :
( end_point(X2,X4)
& part_of(X4,X3)
& end_point(X1,X4)
& inner_point(X0,X4) )
& X1 != X2 )
<=> between_c(X3,X2,X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X6,X2,X0] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( end_point(X2,X7)
& end_point(X6,X7)
& inner_point(X4,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f147,plain,
between_c(sK16,sK14,sK15,sK13),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( between_c(sK16,sK14,sK15,sK13)
& ( ~ incident_c(sK14,sK16)
| ~ incident_c(sK13,sK16)
| ~ incident_c(sK15,sK16)
| sK14 = sK15
| sK13 = sK15
| sK14 = sK13 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f99,f100]) ).
fof(f100,plain,
( ? [X0,X1,X2,X3] :
( between_c(X3,X1,X2,X0)
& ( ~ incident_c(X1,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X2,X3)
| X1 = X2
| X0 = X2
| X0 = X1 ) )
=> ( between_c(sK16,sK14,sK15,sK13)
& ( ~ incident_c(sK14,sK16)
| ~ incident_c(sK13,sK16)
| ~ incident_c(sK15,sK16)
| sK14 = sK15
| sK13 = sK15
| sK14 = sK13 ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0,X1,X2,X3] :
( between_c(X3,X1,X2,X0)
& ( ~ incident_c(X1,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X2,X3)
| X1 = X2
| X0 = X2
| X0 = X1 ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X2,X3,X0] :
( between_c(X0,X2,X3,X1)
& ( ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| ~ incident_c(X3,X0)
| X2 = X3
| X1 = X3
| X1 = X2 ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X2,X3,X1] :
( between_c(X0,X2,X3,X1)
=> ( incident_c(X3,X0)
& X1 != X2
& X2 != X3
& incident_c(X1,X0)
& X1 != X3
& incident_c(X2,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X6,X2,X4] :
( between_c(X0,X2,X4,X6)
=> ( incident_c(X2,X0)
& X4 != X6
& incident_c(X4,X0)
& X2 != X4
& incident_c(X6,X0)
& X2 != X6 ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X6,X2,X4] :
( between_c(X0,X2,X4,X6)
=> ( incident_c(X2,X0)
& X4 != X6
& incident_c(X4,X0)
& X2 != X4
& incident_c(X6,X0)
& X2 != X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).
fof(f327,plain,
( inner_point(sK14,sK8(sK16,sK13,sK14,sK14))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f186,f160]) ).
fof(f186,plain,
inner_point(sK15,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f147,f136]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( inner_point(X2,sK8(X0,X1,X2,X3))
| ~ between_c(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f303,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f288,f279]) ).
fof(f279,plain,
( end_point(sK13,sK8(sK16,sK13,sK13,sK14))
| ~ spl17_3 ),
inference(backward_demodulation,[],[f185,f164]) ).
fof(f164,plain,
( sK13 = sK15
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl17_3
<=> sK13 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f185,plain,
end_point(sK13,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f147,f137]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( end_point(X1,sK8(X0,X1,X2,X3))
| ~ between_c(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f288,plain,
( ~ end_point(sK13,sK8(sK16,sK13,sK13,sK14))
| ~ spl17_3 ),
inference(backward_demodulation,[],[f207,f164]) ).
fof(f207,plain,
~ end_point(sK15,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f186,f121]) ).
fof(f273,plain,
~ spl17_6,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f256,f152]) ).
fof(f152,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X3,X2,X1)
| X1 != X3 ),
inference(cnf_transformation,[],[f89]) ).
fof(f256,plain,
( between_c(sK16,sK13,sK15,sK13)
| ~ spl17_6 ),
inference(backward_demodulation,[],[f147,f176]) ).
fof(f176,plain,
( sK14 = sK13
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl17_6
<=> sK14 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f255,plain,
spl17_5,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| spl17_5 ),
inference(subsumption_resolution,[],[f251,f228]) ).
fof(f228,plain,
( ~ incident_c(sK14,sK8(sK16,sK13,sK15,sK14))
| spl17_5 ),
inference(unit_resulting_resolution,[],[f184,f172,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ( incident_c(sK6(X0,X1),X0)
& ~ incident_c(sK6(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) )
=> ( incident_c(sK6(X0,X1),X0)
& ~ incident_c(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) ) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) )
| ~ part_of(X1,X0) )
& ( part_of(X1,X0)
| ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) )
<=> part_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f172,plain,
( ~ incident_c(sK14,sK16)
| spl17_5 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl17_5
<=> incident_c(sK14,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f184,plain,
part_of(sK8(sK16,sK13,sK15,sK14),sK16),
inference(unit_resulting_resolution,[],[f147,f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( part_of(sK8(X0,X1,X2,X3),X0)
| ~ between_c(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f251,plain,
incident_c(sK14,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f187,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ( ! [X2,X3] :
( ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| ~ part_of(X2,X1)
| ~ incident_c(X0,X3) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) )
& ( end_point(X0,X1)
| ( incident_c(X0,sK4(X0,X1))
& part_of(sK5(X0,X1),X1)
& ~ part_of(sK5(X0,X1),sK4(X0,X1))
& ~ part_of(sK4(X0,X1),sK5(X0,X1))
& part_of(sK4(X0,X1),X1)
& incident_c(X0,sK5(X0,X1)) )
| ~ incident_c(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X4,X5] :
( incident_c(X0,X4)
& part_of(X5,X1)
& ~ part_of(X5,X4)
& ~ part_of(X4,X5)
& part_of(X4,X1)
& incident_c(X0,X5) )
=> ( incident_c(X0,sK4(X0,X1))
& part_of(sK5(X0,X1),X1)
& ~ part_of(sK5(X0,X1),sK4(X0,X1))
& ~ part_of(sK4(X0,X1),sK5(X0,X1))
& part_of(sK4(X0,X1),X1)
& incident_c(X0,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ( ( ! [X2,X3] :
( ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| ~ part_of(X2,X1)
| ~ incident_c(X0,X3) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) )
& ( end_point(X0,X1)
| ? [X4,X5] :
( incident_c(X0,X4)
& part_of(X5,X1)
& ~ part_of(X5,X4)
& ~ part_of(X4,X5)
& part_of(X4,X1)
& incident_c(X0,X5) )
| ~ incident_c(X0,X1) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( ( ! [X3,X2] :
( ~ incident_c(X0,X3)
| ~ part_of(X2,X1)
| part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) )
& ( end_point(X0,X1)
| ? [X3,X2] :
( incident_c(X0,X3)
& part_of(X2,X1)
& ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X3,X1)
& incident_c(X0,X2) )
| ~ incident_c(X0,X1) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ( ! [X3,X2] :
( ~ incident_c(X0,X3)
| ~ part_of(X2,X1)
| part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) )
& ( end_point(X0,X1)
| ? [X3,X2] :
( incident_c(X0,X3)
& part_of(X2,X1)
& ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X3,X1)
& incident_c(X0,X2) )
| ~ incident_c(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( ! [X3,X2] :
( ~ incident_c(X0,X3)
| ~ part_of(X2,X1)
| part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2) )
& incident_c(X0,X1) )
<=> end_point(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X3) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( part_of(X2,X1)
& incident_c(X0,X2)
& part_of(X3,X1)
& incident_c(X0,X3) )
=> ( part_of(X2,X3)
| part_of(X3,X2) ) )
& incident_c(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( ( incident_c(X2,X0)
& ! [X3,X1] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X1,X3)
| part_of(X3,X1) ) ) )
<=> end_point(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).
fof(f221,plain,
spl17_4,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| spl17_4 ),
inference(subsumption_resolution,[],[f217,f202]) ).
fof(f202,plain,
incident_c(sK13,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f185,f129]) ).
fof(f217,plain,
( ~ incident_c(sK13,sK8(sK16,sK13,sK15,sK14))
| spl17_4 ),
inference(unit_resulting_resolution,[],[f184,f168,f133]) ).
fof(f168,plain,
( ~ incident_c(sK13,sK16)
| spl17_4 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl17_4
<=> incident_c(sK13,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f210,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl17_1 ),
inference(subsumption_resolution,[],[f206,f200]) ).
fof(f200,plain,
( ~ incident_c(sK15,sK8(sK16,sK13,sK15,sK14))
| spl17_1 ),
inference(unit_resulting_resolution,[],[f156,f184,f133]) ).
fof(f156,plain,
( ~ incident_c(sK15,sK16)
| spl17_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl17_1
<=> incident_c(sK15,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f206,plain,
incident_c(sK15,sK8(sK16,sK13,sK15,sK14)),
inference(unit_resulting_resolution,[],[f186,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f177,plain,
( ~ spl17_1
| spl17_2
| spl17_3
| ~ spl17_4
| ~ spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f146,f174,f170,f166,f162,f158,f154]) ).
fof(f146,plain,
( sK14 = sK13
| ~ incident_c(sK14,sK16)
| ~ incident_c(sK13,sK16)
| sK13 = sK15
| sK14 = sK15
| ~ incident_c(sK15,sK16) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:11:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (24607)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)
% 0.20/0.51 % (24612)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)
% 0.20/0.52 % (24604)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)
% 0.20/0.52 % (24612)First to succeed.
% 0.20/0.52 % (24616)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)
% 0.20/0.52 % (24614)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)
% 0.20/0.53 % (24608)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)
% 0.20/0.53 % (24607)Instruction limit reached!
% 0.20/0.53 % (24607)------------------------------
% 0.20/0.53 % (24607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24607)Termination reason: Unknown
% 0.20/0.53 % (24607)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (24607)Memory used [KB]: 6140
% 0.20/0.53 % (24607)Time elapsed: 0.131 s
% 0.20/0.53 % (24607)Instructions burned: 13 (million)
% 0.20/0.53 % (24607)------------------------------
% 0.20/0.53 % (24607)------------------------------
% 0.20/0.53 % (24611)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)
% 0.20/0.53 % (24624)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)
% 0.20/0.53 % (24605)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)
% 0.20/0.53 % (24632)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)
% 0.20/0.53 % (24614)Instruction limit reached!
% 0.20/0.53 % (24614)------------------------------
% 0.20/0.53 % (24614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24614)Termination reason: Unknown
% 0.20/0.53 % (24614)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (24614)Memory used [KB]: 6140
% 0.20/0.53 % (24614)Time elapsed: 0.122 s
% 0.20/0.53 % (24614)Instructions burned: 8 (million)
% 0.20/0.53 % (24614)------------------------------
% 0.20/0.53 % (24614)------------------------------
% 0.20/0.54 % (24610)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)
% 0.20/0.54 % (24613)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)
% 0.20/0.54 % (24624)Also succeeded, but the first one will report.
% 0.20/0.54 % (24606)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)
% 0.20/0.54 % (24612)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (24612)------------------------------
% 0.20/0.54 % (24612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24612)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (24612)Memory used [KB]: 6268
% 0.20/0.54 % (24612)Time elapsed: 0.122 s
% 0.20/0.54 % (24612)Instructions burned: 13 (million)
% 0.20/0.54 % (24612)------------------------------
% 0.20/0.54 % (24612)------------------------------
% 0.20/0.54 % (24602)Success in time 0.184 s
%------------------------------------------------------------------------------