TSTP Solution File: NUM856+2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM856+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 13:18:16 EDT 2024
% Result : Theorem 1.53s 0.62s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 33
% Syntax : Number of formulae : 128 ( 10 unt; 0 def)
% Number of atoms : 296 ( 50 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 276 ( 108 ~; 122 |; 13 &)
% ( 22 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 143 ( 133 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9137,plain,
$false,
inference(avatar_sat_refutation,[],[f267,f276,f281,f287,f371,f516,f552,f643,f664,f939,f1930,f3062,f3063,f3072,f4513,f9079,f9105,f9135,f9136]) ).
fof(f9136,plain,
( vd517 != vd518
| greater(vmul(vd517,vd519),vmul(vd518,vd519))
| ~ greater(vmul(vd517,vd519),vmul(vd517,vd519)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f9135,plain,
( spl4_366
| ~ spl4_117 ),
inference(avatar_split_clause,[],[f9124,f3096,f9132]) ).
fof(f9132,plain,
( spl4_366
<=> greater(vmul(vd517,vd519),vmul(vd517,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_366])]) ).
fof(f3096,plain,
( spl4_117
<=> greater(vmul(vd519,vd517),vmul(vd517,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).
fof(f9124,plain,
( greater(vmul(vd517,vd519),vmul(vd517,vd519))
| ~ spl4_117 ),
inference(superposition,[],[f3097,f183]) ).
fof(f183,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X26,X27] : vmul(X26,X27) = vmul(X27,X26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3097,plain,
( greater(vmul(vd519,vd517),vmul(vd517,vd519))
| ~ spl4_117 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f9105,plain,
( ~ spl4_29
| ~ spl4_165 ),
inference(avatar_contradiction_clause,[],[f9104]) ).
fof(f9104,plain,
( $false
| ~ spl4_29
| ~ spl4_165 ),
inference(subsumption_resolution,[],[f4511,f9091]) ).
fof(f9091,plain,
( ! [X0] : ~ greater(vmul(X0,vd520),vmul(X0,vd519))
| ~ spl4_29 ),
inference(resolution,[],[f9053,f1226]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[],[f195,f204]) ).
fof(f204,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X77,X78] :
( greater(X77,X78)
=> less(X78,X77) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f195,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X79,X80] :
( ~ less(X79,X80)
| ~ greater(X79,X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9053,plain,
( ! [X0] : greater(vmul(X0,vd519),vmul(X0,vd520))
| ~ spl4_29 ),
inference(superposition,[],[f8469,f183]) ).
fof(f8469,plain,
( ! [X0] : greater(vmul(X0,vd519),vmul(vd520,X0))
| ~ spl4_29 ),
inference(superposition,[],[f7377,f183]) ).
fof(f7377,plain,
( ! [X0] : greater(vmul(vd519,X0),vmul(vd520,X0))
| ~ spl4_29 ),
inference(resolution,[],[f559,f642]) ).
fof(f642,plain,
( less(vd520,vd519)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl4_29
<=> less(vd520,vd519) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f559,plain,
! [X2,X0,X1] :
( ~ less(X0,X1)
| greater(vmul(X1,X2),vmul(X0,X2)) ),
inference(resolution,[],[f223,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X75,X76] :
( less(X75,X76)
=> greater(X76,X75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f223,plain,
! [X2,X0,X1] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( less(X1,X2)
=> less(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X13,X14,X15] :
( less(X14,X15)
=> less(vmul(X14,X13),vmul(X15,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4511,plain,
( greater(vmul(vd517,vd520),vmul(vd517,vd519))
| ~ spl4_165 ),
inference(avatar_component_clause,[],[f4509]) ).
fof(f4509,plain,
( spl4_165
<=> greater(vmul(vd517,vd520),vmul(vd517,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_165])]) ).
fof(f9079,plain,
( spl4_117
| ~ spl4_29
| ~ spl4_164 ),
inference(avatar_split_clause,[],[f9073,f4505,f640,f3096]) ).
fof(f4505,plain,
( spl4_164
<=> vmul(vd517,vd519) = vmul(vd517,vd520) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_164])]) ).
fof(f9073,plain,
( greater(vmul(vd519,vd517),vmul(vd517,vd519))
| ~ spl4_29
| ~ spl4_164 ),
inference(superposition,[],[f8474,f4507]) ).
fof(f4507,plain,
( vmul(vd517,vd519) = vmul(vd517,vd520)
| ~ spl4_164 ),
inference(avatar_component_clause,[],[f4505]) ).
fof(f8474,plain,
( ! [X0] : greater(vmul(vd519,X0),vmul(X0,vd520))
| ~ spl4_29 ),
inference(superposition,[],[f7377,f183]) ).
fof(f4513,plain,
( spl4_164
| spl4_165
| spl4_21 ),
inference(avatar_split_clause,[],[f4493,f513,f4509,f4505]) ).
fof(f513,plain,
( spl4_21
<=> greater(vmul(vd517,vd519),vmul(vd517,vd520)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f4493,plain,
( greater(vmul(vd517,vd520),vmul(vd517,vd519))
| vmul(vd517,vd519) = vmul(vd517,vd520)
| spl4_21 ),
inference(resolution,[],[f348,f515]) ).
fof(f515,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd517,vd520))
| spl4_21 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f348,plain,
! [X0,X1] :
( greater(X1,X0)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f196,f203]) ).
fof(f196,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X79,X80] :
( less(X79,X80)
| greater(X79,X80)
| X79 = X80 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3072,plain,
( spl4_12
| spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f545,f269,f273,f425]) ).
fof(f425,plain,
( spl4_12
<=> vd517 = vd518 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f273,plain,
( spl4_3
<=> greater(vd517,vd518) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f269,plain,
( spl4_2
<=> geq(vd517,vd518) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f545,plain,
( greater(vd517,vd518)
| vd517 = vd518
| ~ spl4_2 ),
inference(resolution,[],[f271,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| greater(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X73,X74] :
( geq(X74,X73)
<=> ( X73 = X74
| greater(X74,X73) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f271,plain,
( geq(vd517,vd518)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f3063,plain,
( vd517 != vd518
| greater(vmul(vd518,vd519),vmul(vd517,vd519))
| ~ greater(vmul(vd517,vd519),vmul(vd518,vd519)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f3062,plain,
( ~ spl4_4
| ~ spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f3033,f264,f273,f278]) ).
fof(f278,plain,
( spl4_4
<=> greater(vd519,vd520) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f264,plain,
( spl4_1
<=> greater(vmul(vd517,vd519),vmul(vd518,vd520)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f3033,plain,
( ~ greater(vd517,vd518)
| ~ greater(vd519,vd520)
| spl4_1 ),
inference(resolution,[],[f238,f266]) ).
fof(f266,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd520))
| spl4_1 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1930,plain,
( ~ spl4_97
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f1909,f368,f1927]) ).
fof(f1927,plain,
( spl4_97
<=> greater(vmul(vd518,vd519),vmul(vd517,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).
fof(f368,plain,
( spl4_7
<=> greater(vmul(vd517,vd519),vmul(vd518,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f1909,plain,
( ~ greater(vmul(vd518,vd519),vmul(vd517,vd519))
| ~ spl4_7 ),
inference(resolution,[],[f1226,f369]) ).
fof(f369,plain,
( greater(vmul(vd517,vd519),vmul(vd518,vd519))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f939,plain,
( ~ spl4_3
| spl4_7 ),
inference(avatar_split_clause,[],[f936,f368,f273]) ).
fof(f936,plain,
( ~ greater(vd517,vd518)
| spl4_7 ),
inference(resolution,[],[f370,f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X13,X18,X19] :
( greater(X18,X19)
=> greater(vmul(X18,X13),vmul(X19,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f370,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
| spl4_7 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f664,plain,
( spl4_6
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f553,f283,f278,f361]) ).
fof(f361,plain,
( spl4_6
<=> vd519 = vd520 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f283,plain,
( spl4_5
<=> geq(vd519,vd520) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f553,plain,
( greater(vd519,vd520)
| vd519 = vd520
| ~ spl4_5 ),
inference(resolution,[],[f285,f211]) ).
fof(f285,plain,
( geq(vd519,vd520)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f643,plain,
( spl4_29
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f628,f549,f640]) ).
fof(f549,plain,
( spl4_27
<=> vd519 = vplus(vd520,sK3(vd520,vd519)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f628,plain,
( less(vd520,vd519)
| ~ spl4_27 ),
inference(superposition,[],[f259,f551]) ).
fof(f551,plain,
( vd519 = vplus(vd520,sK3(vd520,vd519))
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f259,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK2(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK2(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X81,X82] :
( less(X82,X81)
<=> ? [X83] : vplus(X82,X83) = X81 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f552,plain,
( spl4_27
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f547,f278,f549]) ).
fof(f547,plain,
( vd519 = vplus(vd520,sK3(vd520,vd519))
| ~ spl4_4 ),
inference(resolution,[],[f280,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK3(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f167,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X84,X85] :
( greater(X85,X84)
<=> ? [X86] : vplus(X84,X86) = X85 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f280,plain,
( greater(vd519,vd520)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f516,plain,
( ~ spl4_21
| spl4_1
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f500,f425,f264,f513]) ).
fof(f500,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd517,vd520))
| spl4_1
| ~ spl4_12 ),
inference(backward_demodulation,[],[f266,f426]) ).
fof(f426,plain,
( vd517 = vd518
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f371,plain,
( ~ spl4_7
| spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f365,f361,f264,f368]) ).
fof(f365,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
| spl4_1
| ~ spl4_6 ),
inference(backward_demodulation,[],[f266,f363]) ).
fof(f363,plain,
( vd519 = vd520
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f287,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f171,f283,f278]) ).
fof(f171,plain,
( geq(vd519,vd520)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( greater(vd517,vd518)
& geq(vd519,vd520) )
| ( geq(vd517,vd518)
& greater(vd519,vd520) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f281,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f173,f273,f278]) ).
fof(f173,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f276,plain,
( spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f174,f273,f269]) ).
fof(f174,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f170,f264]) ).
fof(f170,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd517,vd519),vmul(vd518,vd520)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM856+2 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 20:23:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8402)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8400)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8401)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8403)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8397)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8399)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.21/0.42 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8398)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.21/0.42 % (8402)Refutation not found, incomplete strategy% (8402)------------------------------
% 0.21/0.42 % (8402)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (8402)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (8402)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (8402)Memory used [KB]: 1188
% 0.21/0.42 % (8402)Time elapsed: 0.007 s
% 0.21/0.42 % (8402)Instructions burned: 9 (million)
% 0.21/0.42 % (8402)------------------------------
% 0.21/0.42 % (8402)------------------------------
% 0.21/0.47 % (8400)Instruction limit reached!
% 0.21/0.47 % (8400)------------------------------
% 0.21/0.47 % (8400)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (8400)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (8400)Termination reason: Time limit
% 0.21/0.47 % (8400)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (8400)Memory used [KB]: 2344
% 0.21/0.47 % (8400)Time elapsed: 0.055 s
% 0.21/0.47 % (8400)Instructions burned: 103 (million)
% 0.21/0.47 % (8401)Instruction limit reached!
% 0.21/0.47 % (8401)------------------------------
% 0.21/0.47 % (8401)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (8401)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (8401)Termination reason: Time limit
% 0.21/0.47 % (8401)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (8401)Memory used [KB]: 1905
% 0.21/0.47 % (8401)Time elapsed: 0.060 s
% 0.21/0.47 % (8401)Instructions burned: 122 (million)
% 0.21/0.48 % (8403)Instruction limit reached!
% 0.21/0.48 % (8403)------------------------------
% 0.21/0.48 % (8403)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (8403)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (8403)Termination reason: Time limit
% 0.21/0.48 % (8403)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (8403)Memory used [KB]: 1904
% 0.21/0.48 % (8403)Time elapsed: 0.062 s
% 0.21/0.48 % (8403)Instructions burned: 130 (million)
% 0.21/0.48 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (8404)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.21/0.51 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (8405)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2998ds/205Mi)
% 0.21/0.51 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (8406)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.21/0.51 % (8396)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (8407)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 0.21/0.51 % (8407)Refutation not found, incomplete strategy% (8407)------------------------------
% 0.21/0.51 % (8407)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51 % (8407)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51 % (8407)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (8407)Memory used [KB]: 1161
% 0.21/0.51 % (8407)Time elapsed: 0.003 s
% 0.21/0.51 % (8407)Instructions burned: 5 (million)
% 0.21/0.51 % (8407)------------------------------
% 0.21/0.51 % (8407)------------------------------
% 0.21/0.52 % (8404)Instruction limit reached!
% 0.21/0.52 % (8404)------------------------------
% 0.21/0.52 % (8404)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52 % (8404)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52 % (8404)Termination reason: Time limit
% 0.21/0.52 % (8404)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (8404)Memory used [KB]: 2382
% 0.21/0.52 % (8404)Time elapsed: 0.069 s
% 0.21/0.52 % (8404)Instructions burned: 123 (million)
% 1.39/0.55 % (8396)Running in auto input_syntax mode. Trying TPTP
% 1.39/0.55 % (8408)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.39/0.55 % (8408)Refutation not found, incomplete strategy% (8408)------------------------------
% 1.39/0.55 % (8408)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.55 % (8408)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.55 % (8408)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.55
% 1.39/0.55 % (8408)Memory used [KB]: 1176
% 1.39/0.55 % (8408)Time elapsed: 0.003 s
% 1.39/0.55 % (8408)Instructions burned: 5 (million)
% 1.39/0.55 % (8408)------------------------------
% 1.39/0.55 % (8408)------------------------------
% 1.53/0.57 % (8396)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.57 % (8409)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2998ds/113Mi)
% 1.53/0.57 % (8406)Instruction limit reached!
% 1.53/0.57 % (8406)------------------------------
% 1.53/0.57 % (8406)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.57 % (8406)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.57 % (8406)Termination reason: Time limit
% 1.53/0.57 % (8406)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (8406)Memory used [KB]: 2862
% 1.53/0.57 % (8406)Time elapsed: 0.067 s
% 1.53/0.57 % (8406)Instructions burned: 181 (million)
% 1.53/0.57 % (8405)Instruction limit reached!
% 1.53/0.57 % (8405)------------------------------
% 1.53/0.57 % (8405)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.57 % (8405)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.57 % (8405)Termination reason: Time limit
% 1.53/0.57 % (8405)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (8405)Memory used [KB]: 3556
% 1.53/0.57 % (8405)Time elapsed: 0.090 s
% 1.53/0.57 % (8405)Instructions burned: 206 (million)
% 1.53/0.58 % (8396)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.58 % (8410)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2997ds/114Mi)
% 1.53/0.59 % (8410)Refutation not found, incomplete strategy% (8410)------------------------------
% 1.53/0.59 % (8410)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.59 % (8410)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.59 % (8410)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.59
% 1.53/0.59 % (8410)Memory used [KB]: 1191
% 1.53/0.59 % (8410)Time elapsed: 0.005 s
% 1.53/0.59 % (8410)Instructions burned: 9 (million)
% 1.53/0.59 % (8410)------------------------------
% 1.53/0.59 % (8410)------------------------------
% 1.53/0.60 % (8409)Instruction limit reached!
% 1.53/0.60 % (8409)------------------------------
% 1.53/0.60 % (8409)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.60 % (8409)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.60 % (8409)Termination reason: Time limit
% 1.53/0.60 % (8409)Termination phase: Saturation
% 1.53/0.60
% 1.53/0.60 % (8409)Memory used [KB]: 1925
% 1.53/0.60 % (8409)Time elapsed: 0.039 s
% 1.53/0.60 % (8409)Instructions burned: 114 (million)
% 1.53/0.61 % (8396)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.61 % (8411)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 1.53/0.62 % (8397)First to succeed.
% 1.53/0.62 % (8397)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8396"
% 1.53/0.62 % (8396)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.62 % (8397)Refutation found. Thanks to Tanya!
% 1.53/0.62 % SZS status Theorem for theBenchmark
% 1.53/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.62 % (8397)------------------------------
% 1.53/0.62 % (8397)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.53/0.62 % (8397)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.53/0.62 % (8397)Termination reason: Refutation
% 1.53/0.62
% 1.53/0.62 % (8397)Memory used [KB]: 4159
% 1.53/0.62 % (8397)Time elapsed: 0.204 s
% 1.53/0.62 % (8397)Instructions burned: 463 (million)
% 1.53/0.62 % (8397)------------------------------
% 1.53/0.62 % (8397)------------------------------
% 1.53/0.62 % (8396)Success in time 0.268 s
%------------------------------------------------------------------------------