TSTP Solution File: GEO093+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Tue Apr 30 11:14:02 EDT 2024
% Result : Theorem 4.14s 0.94s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 89 ( 13 unt; 0 def)
% Number of atoms : 317 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 337 ( 109 ~; 140 |; 67 &)
% ( 10 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 209 ( 187 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12073,plain,
$false,
inference(subsumption_resolution,[],[f11844,f104]) ).
fof(f104,plain,
open(sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ~ open(sum(sK4,sK5))
& meet(sK6,sK4,sK5)
& part_of(sK5,sK3)
& part_of(sK4,sK3)
& open(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f35,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2,X3] :
( ~ open(sum(X1,X2))
& meet(X3,X1,X2)
& part_of(X2,X0)
& part_of(X1,X0)
& open(X0) )
=> ( ~ open(sum(sK4,sK5))
& meet(sK6,sK4,sK5)
& part_of(sK5,sK3)
& part_of(sK4,sK3)
& open(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ open(sum(X1,X2))
& meet(X3,X1,X2)
& part_of(X2,X0)
& part_of(X1,X0)
& open(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ~ open(sum(X1,X2))
& meet(X3,X1,X2)
& part_of(X2,X0)
& part_of(X1,X0)
& open(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( meet(X3,X1,X2)
& part_of(X2,X0)
& part_of(X1,X0)
& open(X0) )
=> open(sum(X1,X2)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X3,X2] :
( ( meet(X2,X1,X3)
& part_of(X3,X0)
& part_of(X1,X0)
& open(X0) )
=> open(sum(X1,X3)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X3,X2] :
( ( meet(X2,X1,X3)
& part_of(X3,X0)
& part_of(X1,X0)
& open(X0) )
=> open(sum(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2) ).
fof(f11844,plain,
~ open(sK3),
inference(superposition,[],[f108,f11410]) ).
fof(f11410,plain,
sK3 = sum(sK4,sK5),
inference(resolution,[],[f11390,f1525]) ).
fof(f1525,plain,
! [X0] :
( ~ part_of(sum(sK4,sK5),X0)
| sum(sK4,sK5) = X0 ),
inference(subsumption_resolution,[],[f1521,f834]) ).
fof(f834,plain,
! [X0] :
( ~ incident_c(sK13(X0,sum(sK4,sK5)),X0)
| sum(sK4,sK5) = X0 ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f831,plain,
! [X0] :
( sum(sK4,sK5) = X0
| sum(sK4,sK5) = X0
| ~ incident_c(sK13(X0,sum(sK4,sK5)),X0) ),
inference(resolution,[],[f734,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ incident_c(sK13(X0,X1),X1)
| X0 = X1
| ~ incident_c(sK13(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ incident_c(sK13(X0,X1),X1)
| ~ incident_c(sK13(X0,X1),X0) )
& ( incident_c(sK13(X0,X1),X1)
| incident_c(sK13(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) )
=> ( ( ~ incident_c(sK13(X0,X1),X1)
| ~ incident_c(sK13(X0,X1),X0) )
& ( incident_c(sK13(X0,X1),X1)
| incident_c(sK13(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( incident_c(X2,X0)
<~> incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f734,plain,
! [X0,X1] :
( incident_c(sK13(X0,X1),sum(sK4,sK5))
| X0 = X1 ),
inference(subsumption_resolution,[],[f701,f678]) ).
fof(f678,plain,
! [X0,X1] :
( ~ incident_c(X1,X0)
| incident_c(X1,sum(sK4,sK5)) ),
inference(superposition,[],[f238,f377]) ).
fof(f377,plain,
! [X0] : sum(sK4,sK5) = sum(sum(sK4,sK5),X0),
inference(resolution,[],[f353,f108]) ).
fof(f353,plain,
! [X0,X1] :
( open(X0)
| sum(X0,X1) = X0 ),
inference(resolution,[],[f350,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ part_of(X1,X0)
| X0 = X1
| open(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( open(X1)
| X0 = X1
| ~ part_of(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( open(X1)
| X0 = X1
| ~ part_of(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( X0 != X1
& part_of(X1,X0) )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f350,plain,
! [X0,X1] : part_of(X0,sum(X0,X1)),
inference(duplicate_literal_removal,[],[f344]) ).
fof(f344,plain,
! [X0,X1] :
( part_of(X0,sum(X0,X1))
| part_of(X0,sum(X0,X1)) ),
inference(resolution,[],[f236,f135]) ).
fof(f135,plain,
! [X0,X1] :
( incident_c(sK17(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK17(X0,X1),X0)
& incident_c(sK17(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK17(X0,X1),X0)
& incident_c(sK17(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ incident_c(sK17(sum(X0,X1),X2),X0)
| part_of(X2,sum(X0,X1)) ),
inference(resolution,[],[f235,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ incident_c(sK17(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f235,plain,
! [X2,X0,X1] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(resolution,[],[f147,f157]) ).
fof(f157,plain,
! [X2,X1] : sP2(X2,X1,sum(X1,X2)),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( sum(X1,X2) = X0
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sum(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( sum(X1,X2) = X0
<=> sP2(X2,X1,X0) ),
inference(definition_folding,[],[f29,f58]) ).
fof(f58,plain,
! [X2,X1,X0] :
( sP2(X2,X1,X0)
<=> ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X2)
| incident_c(X3,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f29,plain,
! [X0,X1,X2] :
( sum(X1,X2) = X0
<=> ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X2)
| incident_c(X3,X1) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X3] :
( sum(X1,X3) = X0
<=> ! [X4] :
( incident_c(X4,X0)
<=> ( incident_c(X4,X3)
| incident_c(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn) ).
fof(f147,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ incident_c(X4,X1)
| incident_c(X4,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( ( ~ incident_c(sK19(X0,X1,X2),X0)
& ~ incident_c(sK19(X0,X1,X2),X1) )
| ~ incident_c(sK19(X0,X1,X2),X2) )
& ( incident_c(sK19(X0,X1,X2),X0)
| incident_c(sK19(X0,X1,X2),X1)
| incident_c(sK19(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X2)
| ( ~ incident_c(X4,X0)
& ~ incident_c(X4,X1) ) )
& ( incident_c(X4,X0)
| incident_c(X4,X1)
| ~ incident_c(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X2) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ) )
=> ( ( ( ~ incident_c(sK19(X0,X1,X2),X0)
& ~ incident_c(sK19(X0,X1,X2),X1) )
| ~ incident_c(sK19(X0,X1,X2),X2) )
& ( incident_c(sK19(X0,X1,X2),X0)
| incident_c(sK19(X0,X1,X2),X1)
| incident_c(sK19(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X2) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X2)
| ( ~ incident_c(X4,X0)
& ~ incident_c(X4,X1) ) )
& ( incident_c(X4,X0)
| incident_c(X4,X1)
| ~ incident_c(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ? [X3] :
( ( ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X2)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f238,plain,
! [X2,X0,X1] :
( incident_c(X0,sum(X2,X1))
| ~ incident_c(X0,X1) ),
inference(resolution,[],[f148,f157]) ).
fof(f148,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ incident_c(X4,X0)
| incident_c(X4,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f701,plain,
! [X0,X1] :
( incident_c(sK13(X0,X1),sum(sK4,sK5))
| incident_c(sK13(X0,X1),X1)
| X0 = X1 ),
inference(resolution,[],[f678,f118]) ).
fof(f118,plain,
! [X0,X1] :
( incident_c(sK13(X0,X1),X1)
| incident_c(sK13(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f1521,plain,
! [X0] :
( sum(sK4,sK5) = X0
| incident_c(sK13(X0,sum(sK4,sK5)),X0)
| ~ part_of(sum(sK4,sK5),X0) ),
inference(duplicate_literal_removal,[],[f1515]) ).
fof(f1515,plain,
! [X0] :
( sum(sK4,sK5) = X0
| incident_c(sK13(X0,sum(sK4,sK5)),X0)
| sum(sK4,sK5) = X0
| ~ part_of(sum(sK4,sK5),X0) ),
inference(resolution,[],[f834,f316]) ).
fof(f316,plain,
! [X2,X0,X1] :
( incident_c(sK13(X0,X1),X2)
| incident_c(sK13(X0,X1),X0)
| X0 = X1
| ~ part_of(X1,X2) ),
inference(resolution,[],[f118,f134]) ).
fof(f134,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f11390,plain,
! [X0] : part_of(X0,sK3),
inference(subsumption_resolution,[],[f11389,f10291]) ).
fof(f10291,plain,
! [X0] :
( ~ incident_c(sK17(sK3,X0),sK4)
| part_of(X0,sK3) ),
inference(forward_demodulation,[],[f10206,f10114]) ).
fof(f10114,plain,
sK3 = sum(sK3,sK4),
inference(resolution,[],[f6543,f105]) ).
fof(f105,plain,
part_of(sK4,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f6543,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| sum(X1,X0) = X1 ),
inference(resolution,[],[f5691,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ sP2(X2,X1,X0)
| sum(X1,X2) = X0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f5691,plain,
! [X0,X1] :
( sP2(X0,X1,X1)
| ~ part_of(X0,X1) ),
inference(subsumption_resolution,[],[f5690,f878]) ).
fof(f878,plain,
! [X0,X1] :
( incident_c(sK19(X0,X1,X1),X0)
| sP2(X0,X1,X1) ),
inference(subsumption_resolution,[],[f863,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ incident_c(sK19(X0,X1,X2),X2)
| ~ incident_c(sK19(X0,X1,X2),X1)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f863,plain,
! [X0,X1] :
( incident_c(sK19(X0,X1,X1),X1)
| incident_c(sK19(X0,X1,X1),X0)
| sP2(X0,X1,X1) ),
inference(factoring,[],[f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( incident_c(sK19(X0,X1,X2),X2)
| incident_c(sK19(X0,X1,X2),X1)
| incident_c(sK19(X0,X1,X2),X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f5690,plain,
! [X0,X1] :
( sP2(X0,X1,X1)
| ~ part_of(X0,X1)
| ~ incident_c(sK19(X0,X1,X1),X0) ),
inference(duplicate_literal_removal,[],[f5671]) ).
fof(f5671,plain,
! [X0,X1] :
( sP2(X0,X1,X1)
| ~ part_of(X0,X1)
| ~ incident_c(sK19(X0,X1,X1),X0)
| sP2(X0,X1,X1) ),
inference(resolution,[],[f954,f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ incident_c(sK19(X0,X1,X2),X2)
| ~ incident_c(sK19(X0,X1,X2),X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f954,plain,
! [X2,X0,X1] :
( incident_c(sK19(X0,X1,X1),X2)
| sP2(X0,X1,X1)
| ~ part_of(X0,X2) ),
inference(resolution,[],[f878,f134]) ).
fof(f10206,plain,
! [X0] :
( ~ incident_c(sK17(sK3,X0),sK4)
| part_of(X0,sum(sK3,sK4)) ),
inference(superposition,[],[f239,f10114]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ incident_c(sK17(sum(X0,X1),X2),X1)
| part_of(X2,sum(X0,X1)) ),
inference(resolution,[],[f238,f136]) ).
fof(f11389,plain,
! [X0] :
( part_of(X0,sK3)
| incident_c(sK17(sK3,X0),sK4) ),
inference(duplicate_literal_removal,[],[f11378]) ).
fof(f11378,plain,
! [X0] :
( part_of(X0,sK3)
| incident_c(sK17(sK3,X0),sK4)
| part_of(X0,sK3) ),
inference(resolution,[],[f10488,f1140]) ).
fof(f1140,plain,
! [X0,X1] :
( incident_c(sK17(X0,X1),sK5)
| incident_c(sK17(X0,X1),sK4)
| part_of(X1,X0) ),
inference(resolution,[],[f457,f710]) ).
fof(f710,plain,
! [X0,X1] :
( incident_c(sK17(X0,X1),sum(sK4,sK5))
| part_of(X1,X0) ),
inference(resolution,[],[f678,f135]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ incident_c(X0,sum(X1,X2))
| incident_c(X0,X1)
| incident_c(X0,X2) ),
inference(resolution,[],[f146,f157]) ).
fof(f146,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| incident_c(X4,X1)
| ~ incident_c(X4,X2)
| incident_c(X4,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f10488,plain,
! [X0] :
( ~ incident_c(sK17(sK3,X0),sK5)
| part_of(X0,sK3) ),
inference(forward_demodulation,[],[f10403,f10115]) ).
fof(f10115,plain,
sK3 = sum(sK3,sK5),
inference(resolution,[],[f6543,f106]) ).
fof(f106,plain,
part_of(sK5,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f10403,plain,
! [X0] :
( ~ incident_c(sK17(sK3,X0),sK5)
| part_of(X0,sum(sK3,sK5)) ),
inference(superposition,[],[f239,f10115]) ).
fof(f108,plain,
~ open(sum(sK4,sK5)),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n008.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 : Tue Apr 30 05:45:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (10012)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (10016)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (10015)WARNING: value z3 for option sas not known
% 0.13/0.36 % (10013)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (10014)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (10015)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (10017)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (10019)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (10018)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.20/0.39 TRYING [5]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [6]
% 0.20/0.48 TRYING [4]
% 1.38/0.54 TRYING [7]
% 1.38/0.59 TRYING [5]
% 2.51/0.70 TRYING [8]
% 3.50/0.91 TRYING [6]
% 4.14/0.94 % (10015)First to succeed.
% 4.14/0.94 % (10015)Refutation found. Thanks to Tanya!
% 4.14/0.94 % SZS status Theorem for theBenchmark
% 4.14/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/0.94 % (10015)------------------------------
% 4.14/0.94 % (10015)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.14/0.94 % (10015)Termination reason: Refutation
% 4.14/0.94
% 4.14/0.94 % (10015)Memory used [KB]: 12965
% 4.14/0.94 % (10015)Time elapsed: 0.574 s
% 4.14/0.94 % (10015)Instructions burned: 1438 (million)
% 4.14/0.94 % (10015)------------------------------
% 4.14/0.94 % (10015)------------------------------
% 4.14/0.94 % (10012)Success in time 0.582 s
%------------------------------------------------------------------------------