TSTP Solution File: MGT005-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT005-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 17:51:18 EDT 2022
% Result : Unsatisfiable 0.37s 0.65s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 45
% Syntax : Number of formulae : 149 ( 28 unt; 0 def)
% Number of atoms : 610 ( 15 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 895 ( 434 ~; 445 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 17 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 192 ( 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f809,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f336,f360,f379,f399,f488,f492,f495,f498,f504,f517,f539,f550,f552,f645,f736,f808]) ).
fof(f808,plain,
( ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f800,f29]) ).
fof(f29,axiom,
~ greater(sk7,sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_54) ).
fof(f800,plain,
( greater(sk7,sk8)
| ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_54 ),
inference(resolution,[],[f795,f763]) ).
fof(f763,plain,
( ! [X2] :
( ~ greater(sk1(sk12,sk3),X2)
| greater(sk7,X2) )
| ~ spl0_40
| ~ spl0_54 ),
inference(resolution,[],[f754,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp11_28) ).
fof(f754,plain,
( greater(sk7,sk1(sk12,sk3))
| ~ spl0_40
| ~ spl0_54 ),
inference(resolution,[],[f549,f507]) ).
fof(f507,plain,
( ! [X2] :
( ~ greater(sk1(sk12,sk2),X2)
| greater(sk7,X2) )
| ~ spl0_40 ),
inference(resolution,[],[f391,f3]) ).
fof(f391,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl0_40
<=> greater(sk7,sk1(sk12,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f549,plain,
( greater(sk1(sk12,sk2),sk1(sk12,sk3))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl0_54
<=> greater(sk1(sk12,sk2),sk1(sk12,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f795,plain,
( greater(sk1(sk12,sk3),sk8)
| ~ spl0_36
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f794,f14]) ).
fof(f14,axiom,
organization(sk3,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_39) ).
fof(f794,plain,
( greater(sk1(sk12,sk3),sk8)
| ~ organization(sk3,sk13)
| ~ spl0_36
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f793,f30]) ).
fof(f30,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_26) ).
fof(f793,plain,
( greater(sk1(sk12,sk3),sk8)
| greater(sk13,sk13)
| ~ organization(sk3,sk13)
| ~ spl0_36
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f789,f374]) ).
fof(f374,plain,
( greater(sk13,sk12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl0_36
<=> greater(sk13,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f789,plain,
( ~ greater(sk13,sk12)
| ~ organization(sk3,sk13)
| greater(sk1(sk12,sk3),sk8)
| greater(sk13,sk13)
| ~ spl0_41 ),
inference(resolution,[],[f784,f25]) ).
fof(f25,axiom,
survival_chance(sk3,sk8,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_50) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ survival_chance(sk3,X1,X0)
| greater(X0,sk13)
| greater(sk1(sk12,sk3),X1)
| ~ greater(X0,sk12)
| ~ organization(sk3,X0) )
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f783,f34]) ).
fof(f34,plain,
~ greater(sk11,sk12),
inference(resolution,[],[f32,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_27) ).
fof(f32,plain,
greater(sk12,sk11),
inference(resolution,[],[f6,f19]) ).
fof(f19,axiom,
reorganization(sk2,sk11,sk12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_44) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ reorganization(X0,X1,X2)
| greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_31) ).
fof(f783,plain,
( ! [X0,X1] :
( greater(sk11,sk12)
| ~ survival_chance(sk3,X1,X0)
| greater(X0,sk13)
| greater(sk1(sk12,sk3),X1)
| ~ organization(sk3,X0)
| ~ greater(X0,sk12) )
| ~ spl0_41 ),
inference(resolution,[],[f532,f20]) ).
fof(f20,axiom,
reorganization(sk3,sk11,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_45) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] :
( ~ reorganization(sk3,X2,X3)
| greater(X2,sk12)
| ~ organization(sk3,X1)
| ~ survival_chance(sk3,X0,X1)
| greater(sk1(sk12,sk3),X0)
| greater(X1,X3)
| ~ greater(X1,sk12) )
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f526,f397]) ).
fof(f397,plain,
( organization(sk3,sk12)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl0_41
<=> organization(sk3,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f526,plain,
( ! [X2,X3,X0,X1] :
( ~ organization(sk3,sk12)
| ~ survival_chance(sk3,X0,X1)
| greater(X1,X3)
| ~ reorganization(sk3,X2,X3)
| greater(X2,sk12)
| greater(sk1(sk12,sk3),X0)
| ~ greater(X1,sk12)
| ~ organization(sk3,X1) )
| ~ spl0_41 ),
inference(resolution,[],[f522,f8]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ survival_chance(X0,X5,X1)
| ~ survival_chance(X0,X6,X2)
| ~ organization(X0,X1)
| ~ reorganization(X0,X3,X4)
| ~ greater(X2,X1)
| greater(X2,X4)
| greater(X3,X1)
| ~ organization(X0,X2)
| greater(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL_33) ).
fof(f522,plain,
( survival_chance(sk3,sk1(sk12,sk3),sk12)
| ~ spl0_41 ),
inference(resolution,[],[f397,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ organization(X0,X1)
| survival_chance(X0,sk1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp12_29) ).
fof(f736,plain,
( ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f728,f29]) ).
fof(f728,plain,
( greater(sk7,sk8)
| ~ spl0_36
| ~ spl0_40
| ~ spl0_41
| ~ spl0_53 ),
inference(resolution,[],[f724,f507]) ).
fof(f724,plain,
( greater(sk1(sk12,sk2),sk8)
| ~ spl0_36
| ~ spl0_41
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f723,f14]) ).
fof(f723,plain,
( greater(sk1(sk12,sk2),sk8)
| ~ organization(sk3,sk13)
| ~ spl0_36
| ~ spl0_41
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f722,f30]) ).
fof(f722,plain,
( greater(sk13,sk13)
| ~ organization(sk3,sk13)
| greater(sk1(sk12,sk2),sk8)
| ~ spl0_36
| ~ spl0_41
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f718,f374]) ).
fof(f718,plain,
( greater(sk1(sk12,sk2),sk8)
| ~ greater(sk13,sk12)
| greater(sk13,sk13)
| ~ organization(sk3,sk13)
| ~ spl0_41
| ~ spl0_53 ),
inference(resolution,[],[f681,f25]) ).
fof(f681,plain,
( ! [X0,X1] :
( ~ survival_chance(sk3,X0,X1)
| greater(X1,sk13)
| ~ greater(X1,sk12)
| greater(sk1(sk12,sk2),X0)
| ~ organization(sk3,X1) )
| ~ spl0_41
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f680,f34]) ).
fof(f680,plain,
( ! [X0,X1] :
( greater(sk11,sk12)
| ~ greater(X1,sk12)
| ~ organization(sk3,X1)
| greater(X1,sk13)
| greater(sk1(sk12,sk2),X0)
| ~ survival_chance(sk3,X0,X1) )
| ~ spl0_41
| ~ spl0_53 ),
inference(resolution,[],[f556,f20]) ).
fof(f556,plain,
( ! [X2,X3,X0,X1] :
( ~ reorganization(sk3,X2,X3)
| ~ survival_chance(sk3,X0,X1)
| greater(X2,sk12)
| greater(X1,X3)
| ~ greater(X1,sk12)
| ~ organization(sk3,X1)
| greater(sk1(sk12,sk2),X0) )
| ~ spl0_41
| ~ spl0_53 ),
inference(backward_demodulation,[],[f532,f545]) ).
fof(f545,plain,
( sk1(sk12,sk3) = sk1(sk12,sk2)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl0_53
<=> sk1(sk12,sk3) = sk1(sk12,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f645,plain,
( spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| spl0_1
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f643,f13]) ).
fof(f13,axiom,
organization(sk2,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_38) ).
fof(f643,plain,
( ~ organization(sk2,sk13)
| spl0_1
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f642,f94]) ).
fof(f94,plain,
( ~ organization(sk2,sk12)
| spl0_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_1
<=> organization(sk2,sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f642,plain,
( ~ organization(sk2,sk13)
| organization(sk2,sk12)
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f509,f32]) ).
fof(f509,plain,
( ~ greater(sk12,sk11)
| ~ organization(sk2,sk13)
| organization(sk2,sk12)
| ~ spl0_36 ),
inference(resolution,[],[f499,f11]) ).
fof(f11,axiom,
organization(sk2,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_36) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ organization(X0,X1)
| ~ organization(X0,sk13)
| ~ greater(sk12,X1)
| organization(X0,sk12) )
| ~ spl0_36 ),
inference(resolution,[],[f374,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ greater(X2,X3)
| ~ organization(X0,X2)
| ~ organization(X0,X1)
| ~ greater(X3,X1)
| organization(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp13_30) ).
fof(f552,plain,
( spl0_51
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f551,f368,f483]) ).
fof(f483,plain,
( spl0_51
<=> ! [X2] :
( ~ complexity(sk2,X2,sk11)
| ~ greater(sk10,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f368,plain,
( spl0_35
<=> ! [X9,X10] :
( ~ complexity(sk2,X9,sk11)
| ~ complexity(sk3,X10,sk11)
| ~ greater(X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f551,plain,
( ! [X0] :
( ~ greater(sk10,X0)
| ~ complexity(sk2,X0,sk11) )
| ~ spl0_35 ),
inference(resolution,[],[f369,f27]) ).
fof(f27,axiom,
complexity(sk3,sk10,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_52) ).
fof(f369,plain,
( ! [X10,X9] :
( ~ complexity(sk3,X10,sk11)
| ~ greater(X10,X9)
| ~ complexity(sk2,X9,sk11) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f550,plain,
( spl0_53
| spl0_54
| ~ spl0_1
| ~ spl0_34
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f541,f396,f365,f92,f547,f543]) ).
fof(f365,plain,
( spl0_34
<=> ! [X12,X8] :
( greater(X8,X12)
| ~ survival_chance(sk2,X8,sk12)
| X8 = X12
| ~ survival_chance(sk3,X12,sk12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f541,plain,
( greater(sk1(sk12,sk2),sk1(sk12,sk3))
| sk1(sk12,sk3) = sk1(sk12,sk2)
| ~ spl0_1
| ~ spl0_34
| ~ spl0_41 ),
inference(resolution,[],[f540,f181]) ).
fof(f181,plain,
( survival_chance(sk2,sk1(sk12,sk2),sk12)
| ~ spl0_1 ),
inference(resolution,[],[f93,f4]) ).
fof(f93,plain,
( organization(sk2,sk12)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f540,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| sk1(sk12,sk3) = X0
| greater(X0,sk1(sk12,sk3)) )
| ~ spl0_34
| ~ spl0_41 ),
inference(resolution,[],[f366,f522]) ).
fof(f366,plain,
( ! [X8,X12] :
( ~ survival_chance(sk3,X12,sk12)
| ~ survival_chance(sk2,X8,sk12)
| greater(X8,X12)
| X8 = X12 )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f539,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f537,f17]) ).
fof(f17,axiom,
survival_chance(sk2,sk6,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_42) ).
fof(f537,plain,
( ~ survival_chance(sk2,sk6,sk11)
| ~ spl0_30 ),
inference(resolution,[],[f327,f18]) ).
fof(f18,axiom,
survival_chance(sk3,sk6,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_43) ).
fof(f327,plain,
( ! [X2] :
( ~ survival_chance(sk3,X2,sk11)
| ~ survival_chance(sk2,X2,sk11) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl0_30
<=> ! [X2] :
( ~ survival_chance(sk2,X2,sk11)
| ~ survival_chance(sk3,X2,sk11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f517,plain,
( ~ spl0_36
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl0_36
| spl0_41 ),
inference(subsumption_resolution,[],[f515,f398]) ).
fof(f398,plain,
( ~ organization(sk3,sk12)
| spl0_41 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f515,plain,
( organization(sk3,sk12)
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f514,f32]) ).
fof(f514,plain,
( ~ greater(sk12,sk11)
| organization(sk3,sk12)
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f510,f14]) ).
fof(f510,plain,
( ~ organization(sk3,sk13)
| organization(sk3,sk12)
| ~ greater(sk12,sk11)
| ~ spl0_36 ),
inference(resolution,[],[f499,f12]) ).
fof(f12,axiom,
organization(sk3,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_37) ).
fof(f504,plain,
( spl0_40
| ~ spl0_1
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f503,f377,f92,f389]) ).
fof(f377,plain,
( spl0_37
<=> ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| greater(sk7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f503,plain,
( greater(sk7,sk1(sk12,sk2))
| ~ spl0_1
| ~ spl0_37 ),
inference(resolution,[],[f378,f181]) ).
fof(f378,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| greater(sk7,X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f498,plain,
( spl0_36
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl0_36
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f496,f375]) ).
fof(f375,plain,
( ~ greater(sk13,sk12)
| spl0_36 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f496,plain,
( greater(sk13,sk12)
| ~ spl0_52 ),
inference(resolution,[],[f487,f19]) ).
fof(f487,plain,
( ! [X0] :
( ~ reorganization(sk2,sk11,X0)
| greater(sk13,X0) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl0_52
<=> ! [X0] :
( ~ reorganization(sk2,sk11,X0)
| greater(sk13,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f495,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f493,f22]) ).
fof(f22,axiom,
reorganization_type(sk3,sk4,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_47) ).
fof(f493,plain,
( ~ reorganization_type(sk3,sk4,sk11)
| ~ spl0_21 ),
inference(resolution,[],[f281,f21]) ).
fof(f21,axiom,
reorganization_type(sk2,sk4,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_46) ).
fof(f281,plain,
( ! [X5] :
( ~ reorganization_type(sk2,X5,sk11)
| ~ reorganization_type(sk3,X5,sk11) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_21
<=> ! [X5] :
( ~ reorganization_type(sk3,X5,sk11)
| ~ reorganization_type(sk2,X5,sk11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f492,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f490,f28]) ).
fof(f28,axiom,
greater(sk10,sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_53) ).
fof(f490,plain,
( ~ greater(sk10,sk9)
| ~ spl0_51 ),
inference(resolution,[],[f484,f26]) ).
fof(f26,axiom,
complexity(sk2,sk9,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_51) ).
fof(f484,plain,
( ! [X2] :
( ~ complexity(sk2,X2,sk11)
| ~ greater(sk10,X2) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f488,plain,
( spl0_51
| spl0_52
| spl0_21 ),
inference(avatar_split_clause,[],[f481,f280,f486,f483]) ).
fof(f481,plain,
! [X2,X0,X1] :
( ~ reorganization_type(sk3,X1,sk11)
| ~ reorganization(sk2,sk11,X0)
| ~ complexity(sk2,X2,sk11)
| ~ greater(sk10,X2)
| greater(sk13,X0)
| ~ reorganization_type(sk2,X1,sk11) ),
inference(subsumption_resolution,[],[f480,f16]) ).
fof(f16,axiom,
class(sk3,sk5,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_41) ).
fof(f480,plain,
! [X2,X0,X1] :
( ~ reorganization(sk2,sk11,X0)
| ~ greater(sk10,X2)
| ~ class(sk3,sk5,sk11)
| ~ reorganization_type(sk2,X1,sk11)
| ~ reorganization_type(sk3,X1,sk11)
| ~ complexity(sk2,X2,sk11)
| greater(sk13,X0) ),
inference(subsumption_resolution,[],[f477,f11]) ).
fof(f477,plain,
! [X2,X0,X1] :
( ~ organization(sk2,sk11)
| ~ reorganization_type(sk2,X1,sk11)
| ~ reorganization(sk2,sk11,X0)
| ~ complexity(sk2,X2,sk11)
| ~ reorganization_type(sk3,X1,sk11)
| greater(sk13,X0)
| ~ greater(sk10,X2)
| ~ class(sk3,sk5,sk11) ),
inference(resolution,[],[f219,f15]) ).
fof(f15,axiom,
class(sk2,sk5,sk11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_40) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ class(X1,X0,sk11)
| ~ organization(X1,sk11)
| ~ class(sk3,X0,sk11)
| greater(sk13,X4)
| ~ reorganization(X1,sk11,X4)
| ~ reorganization_type(sk3,X2,sk11)
| ~ complexity(X1,X3,sk11)
| ~ greater(sk10,X3)
| ~ reorganization_type(X1,X2,sk11) ),
inference(subsumption_resolution,[],[f218,f14]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ organization(X1,sk11)
| ~ class(sk3,X0,sk11)
| ~ class(X1,X0,sk11)
| ~ organization(sk3,sk13)
| ~ reorganization_type(sk3,X2,sk11)
| ~ complexity(X1,X3,sk11)
| ~ greater(sk10,X3)
| greater(sk13,X4)
| ~ reorganization(X1,sk11,X4)
| ~ reorganization_type(X1,X2,sk11) ),
inference(resolution,[],[f84,f20]) ).
fof(f84,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ reorganization(sk3,sk11,X7)
| ~ class(sk3,X11,sk11)
| ~ reorganization_type(X8,X9,sk11)
| ~ organization(X8,sk11)
| ~ organization(sk3,X7)
| ~ greater(sk10,X6)
| ~ reorganization(X8,sk11,X10)
| greater(X7,X10)
| ~ complexity(X8,X6,sk11)
| ~ reorganization_type(sk3,X9,sk11)
| ~ class(X8,X11,sk11) ),
inference(subsumption_resolution,[],[f83,f12]) ).
fof(f83,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ class(sk3,X11,sk11)
| ~ reorganization_type(X8,X9,sk11)
| ~ organization(X8,sk11)
| ~ organization(sk3,sk11)
| ~ reorganization_type(sk3,X9,sk11)
| ~ reorganization(X8,sk11,X10)
| ~ greater(sk10,X6)
| ~ class(X8,X11,sk11)
| ~ reorganization(sk3,sk11,X7)
| ~ organization(sk3,X7)
| ~ complexity(X8,X6,sk11)
| greater(X7,X10) ),
inference(resolution,[],[f9,f27]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ complexity(X2,X8,X1)
| ~ greater(X8,X7)
| ~ organization(X2,X3)
| ~ reorganization_type(X0,X6,X1)
| ~ reorganization_type(X2,X6,X1)
| ~ reorganization(X0,X1,X5)
| ~ organization(X0,X1)
| ~ class(X0,X4,X1)
| ~ complexity(X0,X7,X1)
| ~ class(X2,X4,X1)
| ~ reorganization(X2,X1,X3)
| greater(X3,X5)
| ~ organization(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_FOL_34) ).
fof(f399,plain,
( ~ spl0_41
| spl0_24
| spl0_19
| spl0_34
| spl0_30
| spl0_35
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f394,f96,f368,f326,f365,f274,f304,f396]) ).
fof(f304,plain,
( spl0_24
<=> ! [X8] : ~ reorganization(sk3,sk11,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f274,plain,
( spl0_19
<=> ! [X6] :
( ~ class(sk3,X6,sk11)
| ~ class(sk2,X6,sk11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f96,plain,
( spl0_2
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ survival_chance(sk2,X6,sk12)
| ~ reorganization_type(sk2,X3,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ greater(X4,X5)
| ~ class(sk2,X8,sk11)
| ~ survival_chance(sk2,X2,sk11)
| ~ complexity(sk2,X5,sk11)
| ~ organization(X0,sk12)
| ~ survival_chance(X0,X2,sk11)
| ~ class(X0,X8,sk11)
| X6 = X7
| ~ organization(X0,sk11)
| ~ reorganization_type(X0,X3,sk11)
| ~ complexity(X0,X4,sk11)
| greater(X6,X7)
| ~ survival_chance(X0,X7,sk12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f394,plain,
( ! [X10,X11,X8,X9,X7,X12,X13] :
( ~ complexity(sk2,X9,sk11)
| ~ survival_chance(sk3,X13,sk11)
| ~ survival_chance(sk3,X12,sk12)
| ~ class(sk2,X7,sk11)
| ~ complexity(sk3,X10,sk11)
| ~ reorganization(sk3,sk11,X11)
| ~ class(sk3,X7,sk11)
| greater(X8,X12)
| ~ greater(X10,X9)
| ~ survival_chance(sk2,X8,sk12)
| ~ survival_chance(sk2,X13,sk11)
| X8 = X12
| ~ organization(sk3,sk12) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f393,f12]) ).
fof(f393,plain,
( ! [X10,X11,X8,X9,X7,X12,X13] :
( ~ complexity(sk2,X9,sk11)
| ~ survival_chance(sk3,X13,sk11)
| ~ survival_chance(sk3,X12,sk12)
| ~ organization(sk3,sk11)
| ~ class(sk3,X7,sk11)
| ~ survival_chance(sk2,X13,sk11)
| ~ reorganization(sk3,sk11,X11)
| ~ greater(X10,X9)
| ~ complexity(sk3,X10,sk11)
| ~ survival_chance(sk2,X8,sk12)
| ~ organization(sk3,sk12)
| X8 = X12
| ~ class(sk2,X7,sk11)
| greater(X8,X12) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f338,f21]) ).
fof(f338,plain,
( ! [X10,X11,X8,X9,X7,X12,X13] :
( ~ complexity(sk3,X10,sk11)
| ~ survival_chance(sk2,X13,sk11)
| ~ survival_chance(sk3,X13,sk11)
| greater(X8,X12)
| ~ survival_chance(sk3,X12,sk12)
| ~ organization(sk3,sk12)
| ~ reorganization_type(sk2,sk4,sk11)
| ~ greater(X10,X9)
| ~ class(sk2,X7,sk11)
| ~ class(sk3,X7,sk11)
| ~ organization(sk3,sk11)
| ~ complexity(sk2,X9,sk11)
| ~ reorganization(sk3,sk11,X11)
| ~ survival_chance(sk2,X8,sk12)
| X8 = X12 )
| ~ spl0_2 ),
inference(resolution,[],[f97,f22]) ).
fof(f97,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ reorganization_type(X0,X3,sk11)
| ~ class(sk2,X8,sk11)
| ~ organization(X0,sk11)
| ~ survival_chance(sk2,X6,sk12)
| ~ complexity(sk2,X5,sk11)
| ~ class(X0,X8,sk11)
| ~ complexity(X0,X4,sk11)
| ~ reorganization(X0,sk11,X1)
| greater(X6,X7)
| ~ reorganization_type(sk2,X3,sk11)
| ~ survival_chance(X0,X2,sk11)
| ~ survival_chance(X0,X7,sk12)
| X6 = X7
| ~ greater(X4,X5)
| ~ survival_chance(sk2,X2,sk11)
| ~ organization(X0,sk12) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f379,plain,
( ~ spl0_36
| spl0_37
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f371,f92,f377,f373]) ).
fof(f371,plain,
( ! [X0] :
( ~ survival_chance(sk2,X0,sk12)
| ~ greater(sk13,sk12)
| greater(sk7,X0) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f99,f93]) ).
fof(f99,plain,
! [X0] :
( ~ greater(sk13,sk12)
| ~ survival_chance(sk2,X0,sk12)
| ~ organization(sk2,sk12)
| greater(sk7,X0) ),
inference(resolution,[],[f48,f23]) ).
fof(f23,axiom,
reorganization_free(sk2,sk12,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_48) ).
fof(f48,plain,
! [X6,X7] :
( ~ reorganization_free(sk2,X6,sk13)
| ~ survival_chance(sk2,X7,X6)
| ~ greater(sk13,X6)
| greater(sk7,X7)
| ~ organization(sk2,X6) ),
inference(subsumption_resolution,[],[f46,f13]) ).
fof(f46,plain,
! [X6,X7] :
( greater(sk7,X7)
| ~ survival_chance(sk2,X7,X6)
| ~ reorganization_free(sk2,X6,sk13)
| ~ greater(sk13,X6)
| ~ organization(sk2,X6)
| ~ organization(sk2,sk13) ),
inference(resolution,[],[f7,f24]) ).
fof(f24,axiom,
survival_chance(sk2,sk7,sk13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_FOL_49) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ survival_chance(X0,X4,X2)
| ~ organization(X0,X2)
| ~ greater(X2,X1)
| ~ survival_chance(X0,X3,X1)
| ~ organization(X0,X1)
| ~ reorganization_free(X0,X1,X2)
| greater(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_32) ).
fof(f360,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f358,f16]) ).
fof(f358,plain,
( ~ class(sk3,sk5,sk11)
| ~ spl0_19 ),
inference(resolution,[],[f275,f15]) ).
fof(f275,plain,
( ! [X6] :
( ~ class(sk2,X6,sk11)
| ~ class(sk3,X6,sk11) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f336,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_24 ),
inference(resolution,[],[f305,f20]) ).
fof(f305,plain,
( ! [X8] : ~ reorganization(sk3,sk11,X8)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f98,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f90,f96,f92]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ survival_chance(sk2,X6,sk12)
| ~ survival_chance(X0,X7,sk12)
| greater(X6,X7)
| ~ complexity(X0,X4,sk11)
| ~ reorganization_type(X0,X3,sk11)
| ~ organization(X0,sk11)
| X6 = X7
| ~ class(X0,X8,sk11)
| ~ survival_chance(X0,X2,sk11)
| ~ organization(X0,sk12)
| ~ organization(sk2,sk12)
| ~ complexity(sk2,X5,sk11)
| ~ survival_chance(sk2,X2,sk11)
| ~ class(sk2,X8,sk11)
| ~ greater(X4,X5)
| ~ reorganization(X0,sk11,X1)
| ~ reorganization_type(sk2,X3,sk11) ),
inference(subsumption_resolution,[],[f86,f11]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ survival_chance(X0,X2,sk11)
| ~ survival_chance(sk2,X2,sk11)
| ~ organization(sk2,sk11)
| X6 = X7
| ~ complexity(sk2,X5,sk11)
| ~ reorganization_type(sk2,X3,sk11)
| ~ class(sk2,X8,sk11)
| ~ organization(X0,sk11)
| ~ survival_chance(sk2,X6,sk12)
| ~ organization(sk2,sk12)
| ~ complexity(X0,X4,sk11)
| greater(X6,X7)
| ~ class(X0,X8,sk11)
| ~ organization(X0,sk12)
| ~ reorganization_type(X0,X3,sk11)
| ~ reorganization(X0,sk11,X1)
| ~ greater(X4,X5)
| ~ survival_chance(X0,X7,sk12) ),
inference(resolution,[],[f10,f19]) ).
fof(f10,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ reorganization(X0,X1,X3)
| ~ reorganization(X2,X1,X6)
| ~ survival_chance(X0,X5,X1)
| ~ reorganization_type(X2,X7,X1)
| ~ greater(X11,X10)
| greater(X8,X9)
| ~ survival_chance(X2,X9,X3)
| ~ organization(X2,X1)
| ~ organization(X0,X3)
| ~ complexity(X2,X11,X1)
| ~ reorganization_type(X0,X7,X1)
| ~ survival_chance(X2,X5,X1)
| ~ survival_chance(X0,X8,X3)
| X8 = X9
| ~ class(X0,X4,X1)
| ~ complexity(X0,X10,X1)
| ~ class(X2,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11_FOL_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT005-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 03:10:52 EDT 2022
% 0.14/0.35 % CPUTime :
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% 0.37/0.62 % (10348)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 0.37/0.62 % (10332)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 0.37/0.63 % (10325)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 0.37/0.65 % (10348)First to succeed.
% 0.37/0.65 % (10348)Refutation found. Thanks to Tanya!
% 0.37/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.66 % (10348)------------------------------
% 0.37/0.66 % (10348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.66 % (10348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.66 % (10348)Termination reason: Refutation
% 0.37/0.66
% 0.37/0.66 % (10348)Memory used [KB]: 6012
% 0.37/0.66 % (10348)Time elapsed: 0.054 s
% 0.37/0.66 % (10348)Instructions burned: 34 (million)
% 0.37/0.66 % (10348)------------------------------
% 0.37/0.66 % (10348)------------------------------
% 0.37/0.66 % (10175)Success in time 0.298 s
%------------------------------------------------------------------------------