TSTP Solution File: SWV155+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 16:40:56 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 89
% Syntax : Number of formulae : 215 ( 154 unt; 0 def)
% Number of atoms : 383 ( 89 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 227 ( 59 ~; 32 |; 73 &)
% ( 47 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 51 ( 49 usr; 48 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-3 aty)
% Number of variables : 39 ( 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f710,plain,
$false,
inference(avatar_sat_refutation,[],[f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f664,f668,f672,f679,f684,f688,f693,f698,f703,f708,f709]) ).
fof(f709,plain,
( ~ spl41_5
| spl41_8
| ~ spl41_7
| ~ spl41_40 ),
inference(avatar_split_clause,[],[f674,f670,f507,f512,f497]) ).
fof(f497,plain,
( spl41_5
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f512,plain,
( spl41_8
<=> n1 = sum(n0,n4,a_select3(q,sK13,tptp_sum_index)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f507,plain,
( spl41_7
<=> leq(sK13,minus(pv10,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f670,plain,
( spl41_40
<=> ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f674,plain,
( n1 = sum(n0,n4,a_select3(q,sK13,tptp_sum_index))
| ~ leq(n0,sK13)
| ~ spl41_7
| ~ spl41_40 ),
inference(resolution,[],[f671,f509]) ).
fof(f509,plain,
( leq(sK13,minus(pv10,n1))
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f671,plain,
( ! [X1] :
( ~ leq(X1,minus(pv10,n1))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(n0,X1) )
| ~ spl41_40 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f708,plain,
spl41_47,
inference(avatar_split_clause,[],[f467,f705]) ).
fof(f705,plain,
( spl41_47
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f467,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f466,f463]) ).
fof(f463,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f462,f460]) ).
fof(f460,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f459,f458]) ).
fof(f458,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f431,f429]) ).
fof(f429,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f297,f309]) ).
fof(f309,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',succ_plus_1_r) ).
fof(f297,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f431,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f299,f309,f309]) ).
fof(f299,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f459,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f432,f429]) ).
fof(f432,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f300,f309,f309,f309]) ).
fof(f300,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f462,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f461,f458]) ).
fof(f461,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f433,f429]) ).
fof(f433,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f301,f309,f309,f309,f309]) ).
fof(f301,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f466,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f465,f460]) ).
fof(f465,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f464,f458]) ).
fof(f464,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f434,f429]) ).
fof(f434,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f302,f309,f309,f309,f309,f309]) ).
fof(f302,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f703,plain,
spl41_46,
inference(avatar_split_clause,[],[f463,f700]) ).
fof(f700,plain,
( spl41_46
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f698,plain,
spl41_45,
inference(avatar_split_clause,[],[f460,f695]) ).
fof(f695,plain,
( spl41_45
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f693,plain,
spl41_44,
inference(avatar_split_clause,[],[f458,f690]) ).
fof(f690,plain,
( spl41_44
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f688,plain,
spl41_43,
inference(avatar_split_clause,[],[f435,f686]) ).
fof(f686,plain,
( spl41_43
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f435,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f305,f309]) ).
fof(f305,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ) ).
fof(f684,plain,
spl41_42,
inference(avatar_split_clause,[],[f430,f681]) ).
fof(f681,plain,
( spl41_42
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f430,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f298,f309]) ).
fof(f298,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',succ_tptp_minus_1) ).
fof(f679,plain,
spl41_41,
inference(avatar_split_clause,[],[f429,f676]) ).
fof(f676,plain,
( spl41_41
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f672,plain,
spl41_40,
inference(avatar_split_clause,[],[f427,f670]) ).
fof(f427,plain,
! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f263,f311]) ).
fof(f311,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',pred_minus_1) ).
fof(f263,plain,
! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( n1 != sum(n0,n4,a_select3(q,sK13,tptp_sum_index))
& pv10 != sK13
& leq(sK13,pred(pv10))
& leq(n0,sK13)
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& ! [X2] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X2,pred(pv12))
| ~ leq(n0,X2) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10))
& leq(n0,X0) )
=> ( n1 != sum(n0,n4,a_select3(q,sK13,tptp_sum_index))
& pv10 != sK13
& leq(sK13,pred(pv10))
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10))
& leq(n0,X0) )
& ! [X1] :
( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& ! [X2] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X2,pred(pv12))
| ~ leq(n0,X2) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& ! [X1] :
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X1,pred(pv12))
| ~ leq(n0,X1) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& ! [X1] :
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X1,pred(pv12))
| ~ leq(n0,X1) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& ! [X1] :
( ( leq(X1,pred(pv12))
& leq(n0,X1) )
=> a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 != X2
=> n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4)
& leq(pv10,n135299)
& leq(n0,pv12)
& leq(n0,pv10)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))) )
=> ! [X3] :
( ( leq(X3,pred(pv10))
& leq(n0,X3) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0005) ).
fof(f668,plain,
spl41_39,
inference(avatar_split_clause,[],[f304,f666]) ).
fof(f666,plain,
( spl41_39
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f304,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f664,plain,
spl41_38,
inference(avatar_split_clause,[],[f303,f662]) ).
fof(f662,plain,
( spl41_38
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f303,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f660,plain,
spl41_37,
inference(avatar_split_clause,[],[f296,f657]) ).
fof(f657,plain,
( spl41_37
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f296,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f655,plain,
spl41_36,
inference(avatar_split_clause,[],[f295,f652]) ).
fof(f652,plain,
( spl41_36
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f295,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f650,plain,
spl41_35,
inference(avatar_split_clause,[],[f294,f647]) ).
fof(f647,plain,
( spl41_35
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f294,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f645,plain,
spl41_34,
inference(avatar_split_clause,[],[f293,f642]) ).
fof(f642,plain,
( spl41_34
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f293,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f640,plain,
spl41_33,
inference(avatar_split_clause,[],[f292,f637]) ).
fof(f637,plain,
( spl41_33
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f292,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f635,plain,
spl41_32,
inference(avatar_split_clause,[],[f291,f632]) ).
fof(f632,plain,
( spl41_32
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f291,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f630,plain,
spl41_31,
inference(avatar_split_clause,[],[f290,f627]) ).
fof(f627,plain,
( spl41_31
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f290,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f625,plain,
spl41_30,
inference(avatar_split_clause,[],[f289,f622]) ).
fof(f622,plain,
( spl41_30
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f289,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f620,plain,
spl41_29,
inference(avatar_split_clause,[],[f288,f617]) ).
fof(f617,plain,
( spl41_29
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f288,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f615,plain,
spl41_28,
inference(avatar_split_clause,[],[f287,f612]) ).
fof(f612,plain,
( spl41_28
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f287,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f610,plain,
spl41_27,
inference(avatar_split_clause,[],[f286,f607]) ).
fof(f607,plain,
( spl41_27
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f286,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f605,plain,
spl41_26,
inference(avatar_split_clause,[],[f285,f602]) ).
fof(f602,plain,
( spl41_26
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f285,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f600,plain,
spl41_25,
inference(avatar_split_clause,[],[f284,f597]) ).
fof(f597,plain,
( spl41_25
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f284,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f595,plain,
spl41_24,
inference(avatar_split_clause,[],[f283,f592]) ).
fof(f592,plain,
( spl41_24
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f283,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f590,plain,
spl41_23,
inference(avatar_split_clause,[],[f282,f587]) ).
fof(f587,plain,
( spl41_23
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f282,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f585,plain,
spl41_22,
inference(avatar_split_clause,[],[f281,f582]) ).
fof(f582,plain,
( spl41_22
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f281,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f580,plain,
spl41_21,
inference(avatar_split_clause,[],[f280,f577]) ).
fof(f577,plain,
( spl41_21
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f280,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f575,plain,
spl41_20,
inference(avatar_split_clause,[],[f279,f572]) ).
fof(f572,plain,
( spl41_20
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f279,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f570,plain,
spl41_19,
inference(avatar_split_clause,[],[f278,f567]) ).
fof(f567,plain,
( spl41_19
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f278,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f565,plain,
spl41_18,
inference(avatar_split_clause,[],[f277,f562]) ).
fof(f562,plain,
( spl41_18
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f277,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f560,plain,
spl41_17,
inference(avatar_split_clause,[],[f276,f557]) ).
fof(f557,plain,
( spl41_17
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f276,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f555,plain,
spl41_16,
inference(avatar_split_clause,[],[f275,f552]) ).
fof(f552,plain,
( spl41_16
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f275,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f550,plain,
spl41_15,
inference(avatar_split_clause,[],[f274,f547]) ).
fof(f547,plain,
( spl41_15
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f274,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f545,plain,
spl41_14,
inference(avatar_split_clause,[],[f273,f542]) ).
fof(f542,plain,
( spl41_14
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f273,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f540,plain,
spl41_13,
inference(avatar_split_clause,[],[f272,f537]) ).
fof(f537,plain,
( spl41_13
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f272,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f535,plain,
spl41_12,
inference(avatar_split_clause,[],[f271,f532]) ).
fof(f532,plain,
( spl41_12
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f271,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f530,plain,
spl41_11,
inference(avatar_split_clause,[],[f270,f527]) ).
fof(f527,plain,
( spl41_11
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f270,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f525,plain,
spl41_10,
inference(avatar_split_clause,[],[f269,f522]) ).
fof(f522,plain,
( spl41_10
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f269,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f520,plain,
~ spl41_9,
inference(avatar_split_clause,[],[f268,f517]) ).
fof(f517,plain,
( spl41_9
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f268,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f515,plain,
~ spl41_8,
inference(avatar_split_clause,[],[f267,f512]) ).
fof(f267,plain,
n1 != sum(n0,n4,a_select3(q,sK13,tptp_sum_index)),
inference(cnf_transformation,[],[f194]) ).
fof(f510,plain,
spl41_7,
inference(avatar_split_clause,[],[f426,f507]) ).
fof(f426,plain,
leq(sK13,minus(pv10,n1)),
inference(definition_unfolding,[],[f265,f311]) ).
fof(f265,plain,
leq(sK13,pred(pv10)),
inference(cnf_transformation,[],[f194]) ).
fof(f505,plain,
~ spl41_6,
inference(avatar_split_clause,[],[f266,f502]) ).
fof(f502,plain,
( spl41_6
<=> pv10 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f266,plain,
pv10 != sK13,
inference(cnf_transformation,[],[f194]) ).
fof(f500,plain,
spl41_5,
inference(avatar_split_clause,[],[f264,f497]) ).
fof(f264,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f495,plain,
spl41_4,
inference(avatar_split_clause,[],[f261,f492]) ).
fof(f492,plain,
( spl41_4
<=> leq(pv12,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f261,plain,
leq(pv12,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f490,plain,
spl41_3,
inference(avatar_split_clause,[],[f260,f487]) ).
fof(f487,plain,
( spl41_3
<=> leq(pv10,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f260,plain,
leq(pv10,n135299),
inference(cnf_transformation,[],[f194]) ).
fof(f485,plain,
spl41_2,
inference(avatar_split_clause,[],[f259,f482]) ).
fof(f482,plain,
( spl41_2
<=> leq(n0,pv12) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f259,plain,
leq(n0,pv12),
inference(cnf_transformation,[],[f194]) ).
fof(f480,plain,
spl41_1,
inference(avatar_split_clause,[],[f258,f477]) ).
fof(f477,plain,
( spl41_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f258,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:51:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (5798)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5801)WARNING: value z3 for option sas not known
% 0.15/0.39 % (5802)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (5799)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (5800)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (5804)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)
% 0.15/0.39 % (5803)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)
% 0.15/0.39 % (5805)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)
% 0.15/0.39 % (5801)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)
% 0.15/0.40 % (5803)First to succeed.
% 0.15/0.40 % (5803)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (5803)------------------------------
% 0.15/0.40 % (5803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (5803)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (5803)Memory used [KB]: 1197
% 0.15/0.40 % (5803)Time elapsed: 0.014 s
% 0.15/0.40 % (5803)Instructions burned: 22 (million)
% 0.15/0.40 % (5803)------------------------------
% 0.15/0.40 % (5803)------------------------------
% 0.15/0.40 % (5798)Success in time 0.033 s
%------------------------------------------------------------------------------