TSTP Solution File: NUM854+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 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 : Sun May 5 08:42:37 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 55
% Syntax : Number of formulae : 164 ( 59 unt; 0 def)
% Number of atoms : 304 ( 94 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 246 ( 106 ~; 84 |; 8 &)
% ( 33 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 30 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 283 ( 267 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f387,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f122,f127,f131,f135,f139,f143,f147,f151,f155,f159,f163,f167,f176,f180,f192,f199,f203,f208,f212,f216,f220,f224,f228,f232,f236,f262,f330,f360,f386]) ).
fof(f386,plain,
( ~ spl4_2
| spl4_1
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f281,f222,f114,f119]) ).
fof(f119,plain,
( spl4_2
<=> greater(vd508,vd509) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f114,plain,
( spl4_1
<=> greater(vmul(vd508,vd511),vmul(vd509,vd511)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f222,plain,
( spl4_23
<=> ! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f281,plain,
( ~ greater(vd508,vd509)
| spl4_1
| ~ spl4_23 ),
inference(resolution,[],[f223,f116]) ).
fof(f116,plain,
( ~ greater(vmul(vd508,vd511),vmul(vd509,vd511))
| spl4_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f360,plain,
spl4_29,
inference(avatar_split_clause,[],[f98,f358]) ).
fof(f358,plain,
( spl4_29
<=> ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f98,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X19,X20,X21] : vmul(X19,vplus(X20,X21)) = vplus(vmul(X19,X20),vmul(X19,X21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f330,plain,
spl4_28,
inference(avatar_split_clause,[],[f97,f328]) ).
fof(f328,plain,
( spl4_28
<=> ! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f97,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X16,X17,X18] : vmul(vmul(X16,X17),X18) = vmul(X16,vmul(X17,X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof(f262,plain,
( spl4_27
| ~ spl4_3
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f171,f165,f124,f259]) ).
fof(f259,plain,
( spl4_27
<=> less(vd512,vd511) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f124,plain,
( spl4_3
<=> greater(vd511,vd512) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f165,plain,
( spl4_13
<=> ! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f171,plain,
( less(vd512,vd511)
| ~ spl4_3
| ~ spl4_13 ),
inference(resolution,[],[f166,f126]) ).
fof(f126,plain,
( greater(vd511,vd512)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f166,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) )
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f236,plain,
spl4_26,
inference(avatar_split_clause,[],[f104,f234]) ).
fof(f234,plain,
( spl4_26
<=> ! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(vmul(X0,X1),vmul(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f104,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( greater(vmul(X0,X1),vmul(X2,X1))
=> greater(X0,X2) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X6,X7,X8] :
( greater(vmul(X6,X7),vmul(X8,X7))
=> greater(X6,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).
fof(f232,plain,
spl4_25,
inference(avatar_split_clause,[],[f103,f230]) ).
fof(f230,plain,
( spl4_25
<=> ! [X2,X0,X1] :
( less(X0,X2)
| ~ less(vmul(X0,X1),vmul(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f103,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(vmul(X0,X1),vmul(X2,X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(vmul(X0,X1),vmul(X2,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( less(vmul(X0,X1),vmul(X2,X1))
=> less(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).
fof(f228,plain,
spl4_24,
inference(avatar_split_clause,[],[f102,f226]) ).
fof(f226,plain,
( spl4_24
<=> ! [X2,X0,X1] :
( X0 = X2
| vmul(X0,X1) != vmul(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f102,plain,
! [X2,X0,X1] :
( X0 = X2
| vmul(X0,X1) != vmul(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( X0 = X2
| vmul(X0,X1) != vmul(X2,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( vmul(X0,X1) = vmul(X2,X1)
=> X0 = X2 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X4,X5] :
( vmul(X3,X4) = vmul(X5,X4)
=> X3 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)') ).
fof(f224,plain,
spl4_23,
inference(avatar_split_clause,[],[f101,f222]) ).
fof(f101,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X9,X14,X15] :
( greater(X14,X15)
=> greater(vmul(X14,X9),vmul(X15,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f220,plain,
spl4_22,
inference(avatar_split_clause,[],[f100,f218]) ).
fof(f218,plain,
( spl4_22
<=> ! [X2,X0,X1] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f100,plain,
! [X2,X0,X1] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( less(X1,X2)
=> less(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X9,X10,X11] :
( less(X10,X11)
=> less(vmul(X10,X9),vmul(X11,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof(f216,plain,
spl4_21,
inference(avatar_split_clause,[],[f95,f214]) ).
fof(f214,plain,
( spl4_21
<=> ! [X0,X1] :
( vplus(X0,sK3(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f95,plain,
! [X0,X1] :
( vplus(X0,sK3(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X38,X39] :
( greater(X39,X38)
<=> ? [X40] : vplus(X38,X40) = X39 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f212,plain,
spl4_20,
inference(avatar_split_clause,[],[f93,f210]) ).
fof(f210,plain,
( spl4_20
<=> ! [X0,X1] :
( vplus(X1,sK2(X0,X1)) = X0
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f93,plain,
! [X0,X1] :
( vplus(X1,sK2(X0,X1)) = X0
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK2(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X35,X36] :
( less(X36,X35)
<=> ? [X37] : vplus(X36,X37) = X35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f208,plain,
( spl4_19
| ~ spl4_2
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f170,f165,f119,f205]) ).
fof(f205,plain,
( spl4_19
<=> less(vd509,vd508) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f170,plain,
( less(vd509,vd508)
| ~ spl4_2
| ~ spl4_13 ),
inference(resolution,[],[f166,f121]) ).
fof(f121,plain,
( greater(vd508,vd509)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f203,plain,
spl4_18,
inference(avatar_split_clause,[],[f81,f201]) ).
fof(f201,plain,
( spl4_18
<=> ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f81,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X27,X28] :
( vmul(X27,v1) = X27
& vmul(X27,vsucc(X28)) = vplus(vmul(X27,X28),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f199,plain,
spl4_17,
inference(avatar_split_clause,[],[f80,f197]) ).
fof(f197,plain,
( spl4_17
<=> ! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f80,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X24,X25] : vmul(vsucc(X24),X25) = vplus(vmul(X24,X25),X25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof(f192,plain,
spl4_16,
inference(avatar_split_clause,[],[f88,f190]) ).
fof(f190,plain,
( spl4_16
<=> ! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f88,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X33,X34] :
( less(X33,X34)
| greater(X33,X34)
| X33 = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f180,plain,
spl4_15,
inference(avatar_split_clause,[],[f109,f178]) ).
fof(f178,plain,
( spl4_15
<=> ! [X2,X0,X3] : vplus(vplus(X0,X2),X3) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f109,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X41,X42] :
( ~ ? [X44] : vplus(X41,X44) = X42
| ~ ? [X43] : vplus(X42,X43) = X41 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f176,plain,
spl4_14,
inference(avatar_split_clause,[],[f79,f174]) ).
fof(f174,plain,
( spl4_14
<=> ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f79,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X22,X23] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f167,plain,
spl4_13,
inference(avatar_split_clause,[],[f92,f165]) ).
fof(f92,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X31,X32] :
( greater(X31,X32)
=> less(X32,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f163,plain,
spl4_12,
inference(avatar_split_clause,[],[f91,f161]) ).
fof(f161,plain,
( spl4_12
<=> ! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f91,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X29,X30] :
( less(X29,X30)
=> greater(X30,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f159,plain,
spl4_11,
inference(avatar_split_clause,[],[f87,f157]) ).
fof(f157,plain,
( spl4_11
<=> ! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f87,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X33,X34] :
( ~ less(X33,X34)
| ~ greater(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f155,plain,
spl4_10,
inference(avatar_split_clause,[],[f111,f153]) ).
fof(f153,plain,
( spl4_10
<=> ! [X2,X0] : greater(vplus(X0,X2),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f111,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f151,plain,
spl4_9,
inference(avatar_split_clause,[],[f110,f149]) ).
fof(f149,plain,
( spl4_9
<=> ! [X2,X1] : less(X1,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f110,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f147,plain,
spl4_8,
inference(avatar_split_clause,[],[f107,f145]) ).
fof(f145,plain,
( spl4_8
<=> ! [X2,X1] : vplus(X1,X2) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f107,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X41,X42] :
( ~ ? [X43] : vplus(X42,X43) = X41
| X41 != X42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f143,plain,
spl4_7,
inference(avatar_split_clause,[],[f82,f141]) ).
fof(f141,plain,
( spl4_7
<=> ! [X0] : vmul(X0,v1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f82,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f33]) ).
fof(f139,plain,
spl4_6,
inference(avatar_split_clause,[],[f78,f137]) ).
fof(f137,plain,
( spl4_6
<=> ! [X0] : vmul(v1,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f78,plain,
! [X0] : vmul(v1,X0) = X0,
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] : vmul(v1,X0) = X0,
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X26] : vmul(v1,X26) = X26,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof(f135,plain,
spl4_5,
inference(avatar_split_clause,[],[f106,f133]) ).
fof(f133,plain,
( spl4_5
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f106,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X33,X34] :
( ~ greater(X33,X34)
| X33 != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f131,plain,
spl4_4,
inference(avatar_split_clause,[],[f105,f129]) ).
fof(f129,plain,
( spl4_4
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f105,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X33,X34] :
( ~ less(X33,X34)
| X33 != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f127,plain,
spl4_3,
inference(avatar_split_clause,[],[f77,f124]) ).
fof(f77,plain,
greater(vd511,vd512),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd511,vd512),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(314), 513, 0)') ).
fof(f122,plain,
spl4_2,
inference(avatar_split_clause,[],[f76,f119]) ).
fof(f76,plain,
greater(vd508,vd509),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
fof(f117,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f75,f114]) ).
fof(f75,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:57:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25975)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (25978)WARNING: value z3 for option sas not known
% 0.20/0.37 % (25976)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (25978)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)
% 0.20/0.37 % (25979)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (25980)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)
% 0.20/0.37 % (25977)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (25981)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 % (25980)First to succeed.
% 0.20/0.38 % (25981)Also succeeded, but the first one will report.
% 0.20/0.38 % (25978)Also succeeded, but the first one will report.
% 0.20/0.38 TRYING [2]
% 0.20/0.39 % (25980)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25975"
% 0.20/0.39 % (25982)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)
% 0.20/0.39 % (25980)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (25980)------------------------------
% 0.20/0.39 % (25980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (25980)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (25980)Memory used [KB]: 919
% 0.20/0.39 % (25980)Time elapsed: 0.013 s
% 0.20/0.39 % (25980)Instructions burned: 17 (million)
% 0.20/0.39 % (25975)Success in time 0.028 s
%------------------------------------------------------------------------------