TSTP Solution File: SWV055+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV055+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : Mon Jun 24 17:34:03 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 84 ( 22 unt; 0 def)
% Number of atoms : 273 ( 50 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 295 ( 106 ~; 92 |; 71 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 85 ( 63 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1002,plain,
$false,
inference(avatar_sat_refutation,[],[f437,f442,f455,f460,f465,f466,f467,f492,f1000,f1001]) ).
fof(f1001,plain,
~ spl38_14,
inference(avatar_split_clause,[],[f762,f687]) ).
fof(f687,plain,
( spl38_14
<=> leq(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f762,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[],[f749,f392]) ).
fof(f392,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f272,f283]) ).
fof(f283,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f272,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f749,plain,
! [X0] : ~ leq(plus(X0,n1),X0),
inference(resolution,[],[f412,f277]) ).
fof(f277,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f412,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f324,f283]) ).
fof(f324,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1000,plain,
( spl38_14
| ~ spl38_3
| ~ spl38_4 ),
inference(avatar_split_clause,[],[f983,f439,f434,f687]) ).
fof(f434,plain,
( spl38_3
<=> leq(sK5,minus(n0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f439,plain,
( spl38_4
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f983,plain,
( leq(n0,tptp_minus_1)
| ~ spl38_3
| ~ spl38_4 ),
inference(backward_demodulation,[],[f543,f980]) ).
fof(f980,plain,
( n0 = sK5
| ~ spl38_3
| ~ spl38_4 ),
inference(subsumption_resolution,[],[f910,f677]) ).
fof(f677,plain,
( leq(sK5,n0)
| ~ spl38_3 ),
inference(resolution,[],[f654,f543]) ).
fof(f654,plain,
! [X0] :
( ~ leq(X0,tptp_minus_1)
| leq(X0,n0) ),
inference(superposition,[],[f409,f392]) ).
fof(f409,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f302,f283]) ).
fof(f302,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f910,plain,
( ~ leq(sK5,n0)
| n0 = sK5
| ~ spl38_4 ),
inference(resolution,[],[f300,f441]) ).
fof(f441,plain,
( leq(n0,sK5)
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f300,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f543,plain,
( leq(sK5,tptp_minus_1)
| ~ spl38_3 ),
inference(backward_demodulation,[],[f436,f538]) ).
fof(f538,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f398,f392]) ).
fof(f398,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f280,f285,f283]) ).
fof(f285,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f280,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f436,plain,
( leq(sK5,minus(n0,n1))
| ~ spl38_3 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f492,plain,
( ~ spl38_7
| ~ spl38_8
| ~ spl38_9 ),
inference(avatar_split_clause,[],[f489,f462,f457,f452]) ).
fof(f452,plain,
( spl38_7
<=> sP37(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_7])]) ).
fof(f457,plain,
( spl38_8
<=> leq(sK7,minus(pv10,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_8])]) ).
fof(f462,plain,
( spl38_9
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_9])]) ).
fof(f489,plain,
( ~ sP37(n1)
| ~ spl38_8
| ~ spl38_9 ),
inference(backward_demodulation,[],[f419,f488]) ).
fof(f488,plain,
( ! [X0] : n1 = sum(n0,minus(n5,n1),a_select3(q,sK7,X0))
| ~ spl38_8
| ~ spl38_9 ),
inference(subsumption_resolution,[],[f487,f464]) ).
fof(f464,plain,
( leq(n0,sK7)
| ~ spl38_9 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f487,plain,
( ! [X0] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,sK7,X0))
| ~ leq(n0,sK7) )
| ~ spl38_8 ),
inference(resolution,[],[f238,f459]) ).
fof(f459,plain,
( leq(sK7,minus(pv10,n1))
| ~ spl38_8 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f238,plain,
! [X2,X3] :
( ~ leq(X2,minus(pv10,n1))
| n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK7,sK8))
& leq(sK7,minus(pv10,n1))
& leq(n0,sK7) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X2,X3] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X2) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f183,f184]) ).
fof(f184,plain,
( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK7,sK8))
& leq(sK7,minus(pv10,n1))
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X2,X3] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))
| ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X2) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(definition_folding,[],[f117,f170]) ).
fof(f170,plain,
( ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f117,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ( ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X2,X3] :
( ( leq(X2,minus(pv10,n1))
& leq(n0,X2) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
& ! [X4,X5] :
( ( leq(X4,minus(n0,n1))
& leq(n0,X4) )
=> a_select3(q,pv10,X4) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13,X17] :
( ( leq(X13,minus(pv10,n1))
& leq(n0,X13) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X3,X19] :
( ( leq(X3,minus(n0,n1))
& leq(n0,X3) )
=> a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13,X17] :
( ( leq(X13,minus(pv10,n1))
& leq(n0,X13) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X3,X19] :
( ( leq(X3,minus(n0,n1))
& leq(n0,X3) )
=> a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X19,n0),a_select2(x,pv10)),minus(a_select3(center,X19,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f419,plain,
~ sP37(sum(n0,minus(n5,n1),a_select3(q,sK7,sK8))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP37])]) ).
fof(f467,plain,
spl38_5,
inference(avatar_split_clause,[],[f236,f444]) ).
fof(f444,plain,
( spl38_5
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_5])]) ).
fof(f236,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f185]) ).
fof(f466,plain,
spl38_6,
inference(avatar_split_clause,[],[f237,f448]) ).
fof(f448,plain,
( spl38_6
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f237,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f185]) ).
fof(f465,plain,
( ~ spl38_5
| ~ spl38_6
| spl38_1
| spl38_9 ),
inference(avatar_split_clause,[],[f239,f462,f425,f448,f444]) ).
fof(f425,plain,
( spl38_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f239,plain,
( leq(n0,sK7)
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f185]) ).
fof(f460,plain,
( ~ spl38_5
| ~ spl38_6
| spl38_1
| spl38_8 ),
inference(avatar_split_clause,[],[f240,f457,f425,f448,f444]) ).
fof(f240,plain,
( leq(sK7,minus(pv10,n1))
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f185]) ).
fof(f455,plain,
( ~ spl38_5
| ~ spl38_6
| spl38_1
| spl38_7 ),
inference(avatar_split_clause,[],[f420,f452,f425,f448,f444]) ).
fof(f420,plain,
( sP37(n1)
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(inequality_splitting,[],[f241,f419]) ).
fof(f241,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK7,sK8))
| sP0
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f185]) ).
fof(f442,plain,
( ~ spl38_1
| spl38_4 ),
inference(avatar_split_clause,[],[f233,f439,f425]) ).
fof(f233,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( a_select3(q,pv10,sK5) != divide(sqrt(times(minus(a_select3(center,sK5,n0),a_select2(x,pv10)),minus(a_select3(center,sK5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK6,n0),a_select2(x,pv10)),minus(a_select3(center,sK6,n0),a_select2(x,pv10))))))
& leq(sK5,minus(n0,n1))
& leq(n0,sK5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f180,f181]) ).
fof(f181,plain,
( ? [X0,X1] :
( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
=> ( a_select3(q,pv10,sK5) != divide(sqrt(times(minus(a_select3(center,sK5,n0),a_select2(x,pv10)),minus(a_select3(center,sK5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK6,n0),a_select2(x,pv10)),minus(a_select3(center,sK6,n0),a_select2(x,pv10))))))
& leq(sK5,minus(n0,n1))
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ? [X0,X1] :
( a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))
& leq(X0,minus(n0,n1))
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
( ? [X4,X5] :
( a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))
& leq(X4,minus(n0,n1))
& leq(n0,X4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f170]) ).
fof(f437,plain,
( ~ spl38_1
| spl38_3 ),
inference(avatar_split_clause,[],[f234,f434,f425]) ).
fof(f234,plain,
( leq(sK5,minus(n0,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV055+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 17:31:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31258)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31256)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31259)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31257)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31255)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31260)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.42 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (31261)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.44 % (31258)First to succeed.
% 0.21/0.44 % (31258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31254"
% 0.21/0.44 % (31254)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (31258)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (31258)------------------------------
% 0.21/0.44 % (31258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (31258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (31258)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (31258)Memory used [KB]: 1726
% 0.21/0.44 % (31258)Time elapsed: 0.024 s
% 0.21/0.44 % (31258)Instructions burned: 43 (million)
% 0.21/0.44 % (31258)------------------------------
% 0.21/0.44 % (31258)------------------------------
% 0.21/0.44 % (31254)Success in time 0.079 s
%------------------------------------------------------------------------------