TSTP Solution File: SWV180+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV180+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 : n026.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 16:42:10 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 77
% Syntax : Number of formulae : 179 ( 108 unt; 0 def)
% Number of atoms : 497 ( 92 equ)
% Maximal formula atoms : 41 ( 2 avg)
% Number of connectives : 457 ( 139 ~; 127 |; 98 &)
% ( 45 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 49 ( 47 usr; 46 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-3 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f482,f487,f491,f495,f499,f503,f507,f511,f521,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f607,f612,f617,f622,f627,f632,f637,f642,f647,f652,f657,f662,f667,f672,f677,f681,f685,f690,f701,f702]) ).
fof(f702,plain,
( spl40_3
| ~ spl40_2
| ~ spl40_1
| ~ spl40_7 ),
inference(avatar_split_clause,[],[f515,f501,f474,f479,f484]) ).
fof(f484,plain,
( spl40_3
<=> init = a_select2(muold_init,pv86) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f479,plain,
( spl40_2
<=> leq(pv86,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f474,plain,
( spl40_1
<=> leq(n0,pv86) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f501,plain,
( spl40_7
<=> ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f515,plain,
( ~ leq(pv86,n4)
| init = a_select2(muold_init,pv86)
| ~ spl40_1
| ~ spl40_7 ),
inference(resolution,[],[f502,f476]) ).
fof(f476,plain,
( leq(n0,pv86)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f502,plain,
( ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(muold_init,X2) )
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f701,plain,
spl40_45,
inference(avatar_split_clause,[],[f256,f699]) ).
fof(f699,plain,
( spl40_45
<=> ! [X11,X10] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11)
| ~ leq(X10,n135299)
| ~ leq(n0,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_45])]) ).
fof(f256,plain,
! [X10,X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11)
| ~ leq(X10,n135299)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( init != a_select2(muold_init,pv86)
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& leq(pv86,n4)
& leq(n0,pv86) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( init != a_select2(muold_init,pv86)
& ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X3] :
( init = a_select2(sigmaold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(rhoold_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
& ! [X10] :
( ! [X11] :
( init = a_select3(q_init,X10,X11)
| ~ leq(X11,n4)
| ~ leq(n0,X11) )
| ~ leq(X10,n135299)
| ~ leq(n0,X10) )
& leq(pv86,n4)
& leq(n0,pv86) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(sigmaold_init,X3) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(rhoold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(muold_init,X5) ) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select3(center_init,X6,n0) )
& ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(sigma_init,X7) )
& ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(mu_init,X8) )
& ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(rho_init,X9) )
& ! [X10] :
( ( leq(X10,n135299)
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n4)
& leq(n0,X11) )
=> init = a_select3(q_init,X10,X11) ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> init = a_select2(muold_init,pv86) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> init = a_select2(muold_init,pv86) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigmaold_init,X5) )
& ! [X15] :
( ( leq(X15,n4)
& leq(n0,X15) )
=> init = a_select2(rhoold_init,X15) )
& ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv86,n4)
& leq(n0,pv86) )
=> init = a_select2(muold_init,pv86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0076) ).
fof(f690,plain,
( spl40_44
| ~ spl40_2
| ~ spl40_1
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f514,f497,f474,f479,f687]) ).
fof(f687,plain,
( spl40_44
<=> init = a_select2(sigma_init,pv86) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_44])]) ).
fof(f497,plain,
( spl40_6
<=> ! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f514,plain,
( ~ leq(pv86,n4)
| init = a_select2(sigma_init,pv86)
| ~ spl40_1
| ~ spl40_6 ),
inference(resolution,[],[f498,f476]) ).
fof(f498,plain,
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(sigma_init,X7) )
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f685,plain,
spl40_43,
inference(avatar_split_clause,[],[f304,f683]) ).
fof(f683,plain,
( spl40_43
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_43])]) ).
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(f681,plain,
spl40_42,
inference(avatar_split_clause,[],[f303,f679]) ).
fof(f679,plain,
( spl40_42
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_42])]) ).
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(f677,plain,
spl40_41,
inference(avatar_split_clause,[],[f296,f674]) ).
fof(f674,plain,
( spl40_41
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
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(f672,plain,
spl40_40,
inference(avatar_split_clause,[],[f295,f669]) ).
fof(f669,plain,
( spl40_40
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f295,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(f667,plain,
spl40_39,
inference(avatar_split_clause,[],[f294,f664]) ).
fof(f664,plain,
( spl40_39
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f294,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(f662,plain,
spl40_38,
inference(avatar_split_clause,[],[f293,f659]) ).
fof(f659,plain,
( spl40_38
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f293,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(f657,plain,
spl40_37,
inference(avatar_split_clause,[],[f292,f654]) ).
fof(f654,plain,
( spl40_37
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f292,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(f652,plain,
spl40_36,
inference(avatar_split_clause,[],[f291,f649]) ).
fof(f649,plain,
( spl40_36
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f291,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(f647,plain,
( spl40_35
| ~ spl40_2
| ~ spl40_1
| ~ spl40_5 ),
inference(avatar_split_clause,[],[f513,f493,f474,f479,f644]) ).
fof(f644,plain,
( spl40_35
<=> init = a_select2(mu_init,pv86) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f493,plain,
( spl40_5
<=> ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f513,plain,
( ~ leq(pv86,n4)
| init = a_select2(mu_init,pv86)
| ~ spl40_1
| ~ spl40_5 ),
inference(resolution,[],[f494,f476]) ).
fof(f494,plain,
( ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,n4)
| init = a_select2(mu_init,X8) )
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f642,plain,
spl40_34,
inference(avatar_split_clause,[],[f290,f639]) ).
fof(f639,plain,
( spl40_34
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f290,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(f637,plain,
spl40_33,
inference(avatar_split_clause,[],[f289,f634]) ).
fof(f634,plain,
( spl40_33
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f289,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(f632,plain,
spl40_32,
inference(avatar_split_clause,[],[f288,f629]) ).
fof(f629,plain,
( spl40_32
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
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(f627,plain,
spl40_31,
inference(avatar_split_clause,[],[f287,f624]) ).
fof(f624,plain,
( spl40_31
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
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(f622,plain,
spl40_30,
inference(avatar_split_clause,[],[f286,f619]) ).
fof(f619,plain,
( spl40_30
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
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(f617,plain,
spl40_29,
inference(avatar_split_clause,[],[f285,f614]) ).
fof(f614,plain,
( spl40_29
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
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(f612,plain,
spl40_28,
inference(avatar_split_clause,[],[f284,f609]) ).
fof(f609,plain,
( spl40_28
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
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(f607,plain,
spl40_27,
inference(avatar_split_clause,[],[f283,f604]) ).
fof(f604,plain,
( spl40_27
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
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(f602,plain,
spl40_26,
inference(avatar_split_clause,[],[f282,f599]) ).
fof(f599,plain,
( spl40_26
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
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(f597,plain,
spl40_25,
inference(avatar_split_clause,[],[f281,f594]) ).
fof(f594,plain,
( spl40_25
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
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(f592,plain,
spl40_24,
inference(avatar_split_clause,[],[f280,f589]) ).
fof(f589,plain,
( spl40_24
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f280,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(f587,plain,
spl40_23,
inference(avatar_split_clause,[],[f279,f584]) ).
fof(f584,plain,
( spl40_23
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f279,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(f582,plain,
spl40_22,
inference(avatar_split_clause,[],[f278,f579]) ).
fof(f579,plain,
( spl40_22
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
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(f577,plain,
spl40_21,
inference(avatar_split_clause,[],[f277,f574]) ).
fof(f574,plain,
( spl40_21
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
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(f572,plain,
spl40_20,
inference(avatar_split_clause,[],[f276,f569]) ).
fof(f569,plain,
( spl40_20
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
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(f567,plain,
spl40_19,
inference(avatar_split_clause,[],[f275,f564]) ).
fof(f564,plain,
( spl40_19
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
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(f562,plain,
spl40_18,
inference(avatar_split_clause,[],[f274,f559]) ).
fof(f559,plain,
( spl40_18
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f274,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(f557,plain,
spl40_17,
inference(avatar_split_clause,[],[f273,f554]) ).
fof(f554,plain,
( spl40_17
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f273,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(f552,plain,
spl40_16,
inference(avatar_split_clause,[],[f272,f549]) ).
fof(f549,plain,
( spl40_16
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
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(f547,plain,
spl40_15,
inference(avatar_split_clause,[],[f271,f544]) ).
fof(f544,plain,
( spl40_15
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
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(f542,plain,
( spl40_14
| ~ spl40_2
| ~ spl40_1
| ~ spl40_4 ),
inference(avatar_split_clause,[],[f512,f489,f474,f479,f539]) ).
fof(f539,plain,
( spl40_14
<=> init = a_select2(rho_init,pv86) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f489,plain,
( spl40_4
<=> ! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f512,plain,
( ~ leq(pv86,n4)
| init = a_select2(rho_init,pv86)
| ~ spl40_1
| ~ spl40_4 ),
inference(resolution,[],[f490,f476]) ).
fof(f490,plain,
( ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,n4)
| init = a_select2(rho_init,X9) )
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f537,plain,
spl40_13,
inference(avatar_split_clause,[],[f270,f534]) ).
fof(f534,plain,
( spl40_13
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
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(f532,plain,
spl40_12,
inference(avatar_split_clause,[],[f269,f529]) ).
fof(f529,plain,
( spl40_12
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
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(f527,plain,
~ spl40_11,
inference(avatar_split_clause,[],[f268,f524]) ).
fof(f524,plain,
( spl40_11
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f268,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f521,plain,
spl40_10,
inference(avatar_split_clause,[],[f260,f519]) ).
fof(f519,plain,
( spl40_10
<=> ! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f260,plain,
! [X6] :
( init = a_select3(center_init,X6,n0)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f117]) ).
fof(f511,plain,
spl40_9,
inference(avatar_split_clause,[],[f266,f509]) ).
fof(f509,plain,
( spl40_9
<=> ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f266,plain,
! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f507,plain,
spl40_8,
inference(avatar_split_clause,[],[f265,f505]) ).
fof(f505,plain,
( spl40_8
<=> ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f265,plain,
! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f503,plain,
spl40_7,
inference(avatar_split_clause,[],[f264,f501]) ).
fof(f264,plain,
! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f499,plain,
spl40_6,
inference(avatar_split_clause,[],[f259,f497]) ).
fof(f259,plain,
! [X7] :
( init = a_select2(sigma_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f117]) ).
fof(f495,plain,
spl40_5,
inference(avatar_split_clause,[],[f258,f493]) ).
fof(f258,plain,
! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f117]) ).
fof(f491,plain,
spl40_4,
inference(avatar_split_clause,[],[f257,f489]) ).
fof(f257,plain,
! [X9] :
( init = a_select2(rho_init,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) ),
inference(cnf_transformation,[],[f117]) ).
fof(f487,plain,
~ spl40_3,
inference(avatar_split_clause,[],[f267,f484]) ).
fof(f267,plain,
init != a_select2(muold_init,pv86),
inference(cnf_transformation,[],[f117]) ).
fof(f482,plain,
spl40_2,
inference(avatar_split_clause,[],[f255,f479]) ).
fof(f255,plain,
leq(pv86,n4),
inference(cnf_transformation,[],[f117]) ).
fof(f477,plain,
spl40_1,
inference(avatar_split_clause,[],[f254,f474]) ).
fof(f254,plain,
leq(n0,pv86),
inference(cnf_transformation,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 05:02:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (29739)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (29742)WARNING: value z3 for option sas not known
% 0.13/0.37 % (29743)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (29741)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (29744)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)
% 0.13/0.37 % (29742)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)
% 0.13/0.37 % (29740)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (29746)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 % (29745)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)
% 0.13/0.39 % (29744)First to succeed.
% 0.13/0.39 % (29745)Also succeeded, but the first one will report.
% 0.13/0.39 % (29744)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (29744)------------------------------
% 0.13/0.39 % (29744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (29744)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (29744)Memory used [KB]: 1197
% 0.13/0.39 % (29744)Time elapsed: 0.014 s
% 0.13/0.39 % (29744)Instructions burned: 22 (million)
% 0.13/0.39 % (29744)------------------------------
% 0.13/0.39 % (29744)------------------------------
% 0.13/0.39 % (29739)Success in time 0.034 s
%------------------------------------------------------------------------------