TSTP Solution File: SWV055+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n001.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 18:55:22 EDT 2022
% Result : Theorem 2.16s 0.66s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 106 ( 33 unt; 0 def)
% Number of atoms : 309 ( 70 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 325 ( 122 ~; 106 |; 71 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-3 aty)
% Number of variables : 92 ( 70 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2099,plain,
$false,
inference(avatar_sat_refutation,[],[f492,f498,f501,f514,f519,f524,f530,f1491,f1565,f2098]) ).
fof(f2098,plain,
( spl54_6
| ~ spl54_8
| ~ spl54_9 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2097,plain,
( $false
| spl54_6
| ~ spl54_8
| ~ spl54_9 ),
inference(trivial_inequality_removal,[],[f2096]) ).
fof(f2096,plain,
( n1 != n1
| spl54_6
| ~ spl54_8
| ~ spl54_9 ),
inference(superposition,[],[f513,f1974]) ).
fof(f1974,plain,
( ! [X34] : n1 = sF53(sK31,X34)
| ~ spl54_8
| ~ spl54_9 ),
inference(subsumption_resolution,[],[f1910,f529]) ).
fof(f529,plain,
( leq(sK31,sF51)
| ~ spl54_9 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl54_9
<=> leq(sK31,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_9])]) ).
fof(f1910,plain,
( ! [X34] :
( n1 = sF53(sK31,X34)
| ~ leq(sK31,sF51) )
| ~ spl54_8 ),
inference(resolution,[],[f470,f523]) ).
fof(f523,plain,
( leq(n0,sK31)
| ~ spl54_8 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl54_8
<=> leq(n0,sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).
fof(f470,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(X3,sF51)
| n1 = sF53(X3,X2) ),
inference(definition_folding,[],[f399,f469,f468,f457,f467]) ).
fof(f467,plain,
minus(pv10,n1) = sF51,
introduced(function_definition,[]) ).
fof(f457,plain,
minus(n5,n1) = sF44,
introduced(function_definition,[]) ).
fof(f468,plain,
! [X2,X3] : a_select3(q,X3,X2) = sF52(X3,X2),
introduced(function_definition,[]) ).
fof(f469,plain,
! [X2,X3] : sum(n0,sF44,sF52(X3,X2)) = sF53(X3,X2),
introduced(function_definition,[]) ).
fof(f399,plain,
! [X2,X3] :
( ~ leq(X3,minus(pv10,n1))
| ~ leq(n0,X3)
| n1 = sum(n0,minus(n5,n1),a_select3(q,X3,X2)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( leq(n0,pv10)
& ( ( leq(sK33,minus(n0,n1))
& a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK32,n0),a_select2(x,pv10)),minus(a_select3(center,sK32,n0),a_select2(x,pv10))))))
& leq(n0,sK33) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| sP4 )
& leq(pv10,minus(n135300,n1))
& ! [X2,X3] :
( ~ leq(X3,minus(pv10,n1))
| ~ leq(n0,X3)
| n1 = sum(n0,minus(n5,n1),a_select3(q,X3,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f246,f247]) ).
fof(f247,plain,
( ? [X0,X1] :
( leq(X1,minus(n0,n1))
& 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,minus(n5,n1),sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10))))))
& leq(n0,X1) )
=> ( leq(sK33,minus(n0,n1))
& a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK32,n0),a_select2(x,pv10)),minus(a_select3(center,sK32,n0),a_select2(x,pv10))))))
& leq(n0,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
( leq(n0,pv10)
& ( ? [X0,X1] :
( leq(X1,minus(n0,n1))
& 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,minus(n5,n1),sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10))))))
& leq(n0,X1) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| sP4 )
& leq(pv10,minus(n135300,n1))
& ! [X2,X3] :
( ~ leq(X3,minus(pv10,n1))
| ~ leq(n0,X3)
| n1 = sum(n0,minus(n5,n1),a_select3(q,X3,X2)) ) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
( leq(n0,pv10)
& ( ? [X4,X5] :
( leq(X5,minus(n0,n1))
& a_select3(q,pv10,X5) != divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10))))))
& leq(n0,X5) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| sP4 )
& leq(pv10,minus(n135300,n1))
& ! [X0,X1] :
( ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1)
| n1 = sum(n0,minus(n5,n1),a_select3(q,X1,X0)) ) ),
inference(definition_folding,[],[f160,f183]) ).
fof(f183,plain,
( ? [X3,X2] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f160,plain,
( leq(n0,pv10)
& ( ? [X4,X5] :
( leq(X5,minus(n0,n1))
& a_select3(q,pv10,X5) != divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10))))))
& leq(n0,X5) )
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| ? [X3,X2] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) ) )
& leq(pv10,minus(n135300,n1))
& ! [X0,X1] :
( ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1)
| n1 = sum(n0,minus(n5,n1),a_select3(q,X1,X0)) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
( ( ~ leq(n0,pv10)
| ? [X2,X3] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(n0,X2)
& leq(X2,minus(pv10,n1)) )
| ? [X5,X4] :
( a_select3(q,pv10,X5) != divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10))))))
& leq(X5,minus(n0,n1))
& leq(n0,X5) )
| ~ leq(pv10,minus(n135300,n1)) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X1,X0))
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& ! [X0,X1] :
( ( leq(X1,minus(pv10,n1))
& leq(n0,X1) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X1,X0)) ) )
=> ( leq(n0,pv10)
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(X2,minus(pv10,n1)) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
& ! [X5,X4] :
( ( leq(X5,minus(n0,n1))
& leq(n0,X5) )
=> a_select3(q,pv10,X5) = divide(sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))))) )
& leq(pv10,minus(n135300,n1)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& ! [X17,X13] :
( ( leq(n0,X13)
& leq(X13,minus(pv10,n1)) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1)) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X19,X3] :
( ( 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(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& ! [X17,X13] :
( ( leq(n0,X13)
& leq(X13,minus(pv10,n1)) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X13,X17)) )
& leq(pv10,minus(n135300,n1)) )
=> ( ! [X20,X21] :
( ( leq(X20,minus(pv10,n1))
& leq(n0,X20) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X20,X21)) )
& ! [X19,X3] :
( ( 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(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037) ).
fof(f513,plain,
( n1 != sF53(sK31,sK30)
| spl54_6 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl54_6
<=> n1 = sF53(sK31,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).
fof(f1565,plain,
( ~ spl54_5
| ~ spl54_18 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1564,plain,
( $false
| ~ spl54_5
| ~ spl54_18 ),
inference(subsumption_resolution,[],[f1549,f1023]) ).
fof(f1023,plain,
~ leq(n0,tptp_minus_1),
inference(forward_demodulation,[],[f1019,f779]) ).
fof(f779,plain,
tptp_minus_1 = sF36,
inference(superposition,[],[f663,f448]) ).
fof(f448,plain,
minus(n0,n1) = sF36,
introduced(function_definition,[]) ).
fof(f663,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f428,f423]) ).
fof(f423,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f282,f358]) ).
fof(f358,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f282,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f428,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f329,f286,f358]) ).
fof(f286,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f329,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f1019,plain,
~ leq(n0,sF36),
inference(superposition,[],[f996,f652]) ).
fof(f652,plain,
n0 = plus(sF36,n1),
inference(superposition,[],[f419,f448]) ).
fof(f419,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f259,f358,f286]) ).
fof(f259,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f996,plain,
! [X2] : ~ leq(plus(X2,n1),X2),
inference(resolution,[],[f432,f290]) ).
fof(f290,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f432,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f350,f358]) ).
fof(f350,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1549,plain,
( leq(n0,tptp_minus_1)
| ~ spl54_5
| ~ spl54_18 ),
inference(superposition,[],[f783,f1363]) ).
fof(f1363,plain,
( n0 = sK33
| ~ spl54_18 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1361,plain,
( spl54_18
<=> n0 = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_18])]) ).
fof(f783,plain,
( leq(sK33,tptp_minus_1)
| ~ spl54_5 ),
inference(superposition,[],[f497,f779]) ).
fof(f497,plain,
( leq(sK33,sF36)
| ~ spl54_5 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl54_5
<=> leq(sK33,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).
fof(f1491,plain,
( spl54_18
| ~ spl54_5
| ~ spl54_7 ),
inference(avatar_split_clause,[],[f1490,f516,f495,f1361]) ).
fof(f516,plain,
( spl54_7
<=> leq(n0,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).
fof(f1490,plain,
( n0 = sK33
| ~ spl54_5
| ~ spl54_7 ),
inference(subsumption_resolution,[],[f1474,f1270]) ).
fof(f1270,plain,
( leq(sK33,n0)
| ~ spl54_5 ),
inference(resolution,[],[f1200,f382]) ).
fof(f382,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f1200,plain,
( gt(n0,sK33)
| ~ spl54_5 ),
inference(resolution,[],[f1001,f783]) ).
fof(f1001,plain,
! [X3] :
( ~ leq(X3,tptp_minus_1)
| gt(n0,X3) ),
inference(superposition,[],[f432,f423]) ).
fof(f1474,plain,
( n0 = sK33
| ~ leq(sK33,n0)
| ~ spl54_7 ),
inference(resolution,[],[f381,f518]) ).
fof(f518,plain,
( leq(n0,sK33)
| ~ spl54_7 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f381,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f530,plain,
( spl54_9
| ~ spl54_4 ),
inference(avatar_split_clause,[],[f525,f488,f527]) ).
fof(f488,plain,
( spl54_4
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).
fof(f525,plain,
( ~ sP4
| leq(sK31,sF51) ),
inference(forward_demodulation,[],[f397,f467]) ).
fof(f397,plain,
( leq(sK31,minus(pv10,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK30))
& leq(sK31,minus(pv10,n1))
& leq(n0,sK31) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f243,f244]) ).
fof(f244,plain,
( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X1,X0))
& leq(X1,minus(pv10,n1))
& leq(n0,X1) )
=> ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK30))
& leq(sK31,minus(pv10,n1))
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X1,X0))
& leq(X1,minus(pv10,n1))
& leq(n0,X1) )
| ~ sP4 ),
inference(rectify,[],[f242]) ).
fof(f242,plain,
( ? [X3,X2] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3))
& leq(X2,minus(pv10,n1))
& leq(n0,X2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f183]) ).
fof(f524,plain,
( ~ spl54_4
| spl54_8 ),
inference(avatar_split_clause,[],[f396,f521,f488]) ).
fof(f396,plain,
( leq(n0,sK31)
| ~ sP4 ),
inference(cnf_transformation,[],[f245]) ).
fof(f519,plain,
( ~ spl54_3
| spl54_7
| spl54_4
| ~ spl54_1 ),
inference(avatar_split_clause,[],[f465,f476,f488,f516,f484]) ).
fof(f484,plain,
( spl54_3
<=> leq(pv10,sF37) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_3])]) ).
fof(f476,plain,
( spl54_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f465,plain,
( ~ leq(n0,pv10)
| sP4
| leq(n0,sK33)
| ~ leq(pv10,sF37) ),
inference(definition_folding,[],[f401,f449]) ).
fof(f449,plain,
minus(n135300,n1) = sF37,
introduced(function_definition,[]) ).
fof(f401,plain,
( leq(n0,sK33)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| sP4 ),
inference(cnf_transformation,[],[f248]) ).
fof(f514,plain,
( ~ spl54_4
| ~ spl54_6 ),
inference(avatar_split_clause,[],[f509,f511,f488]) ).
fof(f509,plain,
( n1 != sF53(sK31,sK30)
| ~ sP4 ),
inference(forward_demodulation,[],[f508,f469]) ).
fof(f508,plain,
( ~ sP4
| n1 != sum(n0,sF44,sF52(sK31,sK30)) ),
inference(forward_demodulation,[],[f507,f457]) ).
fof(f507,plain,
( ~ sP4
| n1 != sum(n0,minus(n5,n1),sF52(sK31,sK30)) ),
inference(forward_demodulation,[],[f398,f468]) ).
fof(f398,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK30))
| ~ sP4 ),
inference(cnf_transformation,[],[f245]) ).
fof(f501,plain,
spl54_3,
inference(avatar_split_clause,[],[f466,f484]) ).
fof(f466,plain,
leq(pv10,sF37),
inference(definition_folding,[],[f400,f449]) ).
fof(f400,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f248]) ).
fof(f498,plain,
( spl54_5
| ~ spl54_1
| ~ spl54_3
| spl54_4 ),
inference(avatar_split_clause,[],[f450,f488,f484,f476,f495]) ).
fof(f450,plain,
( sP4
| ~ leq(pv10,sF37)
| ~ leq(n0,pv10)
| leq(sK33,sF36) ),
inference(definition_folding,[],[f403,f449,f448]) ).
fof(f403,plain,
( leq(sK33,minus(n0,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| sP4 ),
inference(cnf_transformation,[],[f248]) ).
fof(f492,plain,
spl54_1,
inference(avatar_split_clause,[],[f404,f476]) ).
fof(f404,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:18:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (23237)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50 % (23227)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (23238)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 % (23225)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (23222)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (23214)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (23217)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (23218)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 (2999ds/48Mi)
% 0.21/0.52 % (23230)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53 % (23240)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (23241)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (23216)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (23215)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (23213)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (23242)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (23221)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (23221)Instruction limit reached!
% 0.21/0.53 % (23221)------------------------------
% 0.21/0.53 % (23221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23221)Termination reason: Unknown
% 0.21/0.53 % (23221)Termination phase: Preprocessing 1
% 0.21/0.53
% 0.21/0.53 % (23221)Memory used [KB]: 895
% 0.21/0.53 % (23221)Time elapsed: 0.003 s
% 0.21/0.53 % (23221)Instructions burned: 2 (million)
% 0.21/0.53 % (23221)------------------------------
% 0.21/0.53 % (23221)------------------------------
% 0.21/0.54 % (23220)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (23223)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (23220)Instruction limit reached!
% 0.21/0.54 % (23220)------------------------------
% 0.21/0.54 % (23220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (23220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (23220)Termination reason: Unknown
% 0.21/0.54 % (23220)Termination phase: Function definition elimination
% 0.21/0.54
% 0.21/0.54 % (23220)Memory used [KB]: 1151
% 0.21/0.54 % (23220)Time elapsed: 0.007 s
% 0.21/0.54 % (23220)Instructions burned: 7 (million)
% 0.21/0.54 % (23220)------------------------------
% 0.21/0.54 % (23220)------------------------------
% 0.21/0.54 % (23234)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 % (23232)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (23236)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (23226)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (23235)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.55 % (23224)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (23233)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.55 % (23231)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (23229)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (23219)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (23228)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.56 % (23239)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.58 % (23215)Instruction limit reached!
% 0.21/0.58 % (23215)------------------------------
% 0.21/0.58 % (23215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (23215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (23215)Termination reason: Unknown
% 0.21/0.59 % (23215)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (23215)Memory used [KB]: 1663
% 0.21/0.59 % (23215)Time elapsed: 0.166 s
% 0.21/0.59 % (23215)Instructions burned: 38 (million)
% 0.21/0.59 % (23215)------------------------------
% 0.21/0.59 % (23215)------------------------------
% 0.21/0.60 % (23223)Instruction limit reached!
% 0.21/0.60 % (23223)------------------------------
% 0.21/0.60 % (23223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (23223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (23223)Termination reason: Unknown
% 0.21/0.60 % (23223)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (23223)Memory used [KB]: 6524
% 0.21/0.60 % (23223)Time elapsed: 0.189 s
% 0.21/0.60 % (23223)Instructions burned: 50 (million)
% 0.21/0.60 % (23223)------------------------------
% 0.21/0.60 % (23223)------------------------------
% 0.21/0.60 TRYING [1]
% 0.21/0.60 TRYING [2]
% 1.95/0.61 TRYING [1]
% 1.95/0.61 % (23227)Instruction limit reached!
% 1.95/0.61 % (23227)------------------------------
% 1.95/0.61 % (23227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (23227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (23227)Termination reason: Unknown
% 1.95/0.61 % (23227)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (23227)Memory used [KB]: 6908
% 1.95/0.61 % (23227)Time elapsed: 0.065 s
% 1.95/0.61 % (23227)Instructions burned: 69 (million)
% 1.95/0.61 % (23227)------------------------------
% 1.95/0.61 % (23227)------------------------------
% 1.95/0.61 TRYING [2]
% 1.95/0.61 % (23218)Instruction limit reached!
% 1.95/0.61 % (23218)------------------------------
% 1.95/0.61 % (23218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (23218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (23218)Termination reason: Unknown
% 1.95/0.61 % (23218)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (23218)Memory used [KB]: 6268
% 1.95/0.61 % (23218)Time elapsed: 0.184 s
% 1.95/0.61 % (23218)Instructions burned: 48 (million)
% 1.95/0.61 % (23218)------------------------------
% 1.95/0.61 % (23218)------------------------------
% 1.95/0.61 % (23222)Instruction limit reached!
% 1.95/0.61 % (23222)------------------------------
% 1.95/0.61 % (23222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (23222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (23222)Termination reason: Unknown
% 1.95/0.61 % (23222)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (23222)Memory used [KB]: 1791
% 1.95/0.61 % (23222)Time elapsed: 0.180 s
% 1.95/0.61 % (23222)Instructions burned: 51 (million)
% 1.95/0.61 % (23222)------------------------------
% 1.95/0.61 % (23222)------------------------------
% 1.95/0.62 % (23216)Instruction limit reached!
% 1.95/0.62 % (23216)------------------------------
% 1.95/0.62 % (23216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (23216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (23216)Termination reason: Unknown
% 1.95/0.62 % (23216)Termination phase: Saturation
% 1.95/0.62
% 1.95/0.62 % (23216)Memory used [KB]: 6268
% 1.95/0.62 % (23216)Time elapsed: 0.193 s
% 1.95/0.62 % (23216)Instructions burned: 51 (million)
% 1.95/0.62 % (23216)------------------------------
% 1.95/0.62 % (23216)------------------------------
% 1.95/0.62 % (23214)Instruction limit reached!
% 1.95/0.62 % (23214)------------------------------
% 1.95/0.62 % (23214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (23214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (23214)Termination reason: Unknown
% 1.95/0.62 % (23214)Termination phase: Saturation
% 1.95/0.62
% 1.95/0.62 % (23214)Memory used [KB]: 6268
% 1.95/0.62 % (23214)Time elapsed: 0.218 s
% 1.95/0.62 % (23214)Instructions burned: 50 (million)
% 1.95/0.62 % (23214)------------------------------
% 1.95/0.62 % (23214)------------------------------
% 1.95/0.62 % (23217)Instruction limit reached!
% 1.95/0.62 % (23217)------------------------------
% 1.95/0.62 % (23217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (23217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (23217)Termination reason: Unknown
% 1.95/0.62 % (23217)Termination phase: Saturation
% 1.95/0.62
% 1.95/0.62 % (23217)Memory used [KB]: 6140
% 1.95/0.62 % (23217)Time elapsed: 0.214 s
% 1.95/0.62 % (23217)Instructions burned: 51 (million)
% 1.95/0.62 % (23217)------------------------------
% 1.95/0.62 % (23217)------------------------------
% 2.13/0.63 % (23230)Instruction limit reached!
% 2.13/0.63 % (23230)------------------------------
% 2.13/0.63 % (23230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (23230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (23230)Termination reason: Unknown
% 2.13/0.63 % (23230)Termination phase: Finite model building preprocessing
% 2.13/0.63
% 2.13/0.63 % (23230)Memory used [KB]: 1918
% 2.13/0.63 % (23230)Time elapsed: 0.034 s
% 2.13/0.63 % (23230)Instructions burned: 59 (million)
% 2.13/0.63 % (23230)------------------------------
% 2.13/0.63 % (23230)------------------------------
% 2.13/0.63 % (23219)Instruction limit reached!
% 2.13/0.63 % (23219)------------------------------
% 2.13/0.63 % (23219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (23219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (23219)Termination reason: Unknown
% 2.13/0.63 % (23219)Termination phase: Finite model building constraint generation
% 2.13/0.63
% 2.13/0.63 % (23219)Memory used [KB]: 7931
% 2.13/0.63 % (23219)Time elapsed: 0.203 s
% 2.13/0.63 % (23219)Instructions burned: 51 (million)
% 2.13/0.63 % (23219)------------------------------
% 2.13/0.63 % (23219)------------------------------
% 2.16/0.65 % (23238)First to succeed.
% 2.16/0.66 TRYING [3]
% 2.16/0.66 % (23238)Refutation found. Thanks to Tanya!
% 2.16/0.66 % SZS status Theorem for theBenchmark
% 2.16/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.66 % (23238)------------------------------
% 2.16/0.66 % (23238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (23238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (23238)Termination reason: Refutation
% 2.16/0.66
% 2.16/0.66 % (23238)Memory used [KB]: 6524
% 2.16/0.66 % (23238)Time elapsed: 0.243 s
% 2.16/0.66 % (23238)Instructions burned: 68 (million)
% 2.16/0.66 % (23238)------------------------------
% 2.16/0.66 % (23238)------------------------------
% 2.16/0.66 % (23212)Success in time 0.301 s
%------------------------------------------------------------------------------