TSTP Solution File: GEO497+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n029.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 30 23:36:07 EDT 2023
% Result : Theorem 66.74s 9.92s
% Output : Refutation 66.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 142 ( 29 unt; 0 def)
% Number of atoms : 394 ( 81 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 435 ( 183 ~; 210 |; 35 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 312 (; 304 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41829,plain,
$false,
inference(avatar_sat_refutation,[],[f335,f1102,f1127,f12266,f39614,f39902,f41338]) ).
fof(f41338,plain,
( ~ spl5_4
| ~ spl5_78 ),
inference(avatar_contradiction_clause,[],[f41337]) ).
fof(f41337,plain,
( $false
| ~ spl5_4
| ~ spl5_78 ),
inference(subsumption_resolution,[],[f40622,f184]) ).
fof(f184,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X19,X20] : s_t(X19,X19,X20),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_3) ).
fof(f40622,plain,
( ~ s_t(sK1,sK1,sK1)
| ~ spl5_4
| ~ spl5_78 ),
inference(forward_demodulation,[],[f40621,f39812]) ).
fof(f39812,plain,
( sK1 = sF4
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f39810]) ).
fof(f39810,plain,
( spl5_78
<=> sK1 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f40621,plain,
( ~ s_t(sK1,sF4,sK1)
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f16024,f312]) ).
fof(f312,plain,
sK2 != sK3,
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
( sK2 != sK3
| sK2 != sK3 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( ~ s_e(sK1,insert(sK2,sK3,sK1,sK0),sK2,sK3)
& sK2 != sK3
& sK0 != sK1 )
| ( ~ sameside(insert(sK2,sK3,sK1,sK0),sK1,sK0)
& sK2 != sK3
& sK0 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f164,f165]) ).
fof(f165,plain,
( ? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 ) )
=> ( ( ~ s_e(sK1,insert(sK2,sK3,sK1,sK0),sK2,sK3)
& sK2 != sK3
& sK0 != sK1 )
| ( ~ sameside(insert(sK2,sK3,sK1,sK0),sK1,sK0)
& sK2 != sK3
& sK0 != sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ! [X0,X1,X2,X3] :
( ( s_e(X1,insert(X2,X3,X1,X0),X2,X3)
| X2 = X3
| X0 = X1 )
& ( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ) ),
inference(rectify,[],[f78]) ).
fof(f78,negated_conjecture,
~ ! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
inference(negated_conjecture,[],[f77]) ).
fof(f77,conjecture,
! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz6_11a) ).
fof(f16024,plain,
( ~ s_t(sK1,sF4,sK1)
| sK2 = sK3
| ~ spl5_4 ),
inference(resolution,[],[f10960,f2499]) ).
fof(f2499,plain,
! [X2,X0,X1] :
( ~ le(X1,X2,X0,X0)
| X1 = X2 ),
inference(subsumption_resolution,[],[f2497,f185]) ).
fof(f185,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X11,X14] : s_t(X11,X14,X14),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_1) ).
fof(f2497,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X1,X1)
| X1 = X2
| ~ le(X1,X2,X0,X0) ),
inference(duplicate_literal_removal,[],[f2496]) ).
fof(f2496,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X1,X1)
| X1 = X2
| ~ le(X1,X2,X0,X0)
| ~ le(X1,X2,X0,X0) ),
inference(superposition,[],[f466,f526]) ).
fof(f526,plain,
! [X2,X0,X1] :
( ins(X2,X2,X0,X1) = X0
| ~ le(X0,X1,X2,X2) ),
inference(resolution,[],[f230,f224]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aA3) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) )
& ( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
& ( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X11,X14,X13,X16] :
( ( ins(X13,X16,X11,X14) = ext(X11,X14,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) )
& ( s_e(X11,ins(X13,X16,X11,X14),X13,X16)
| ~ le(X11,X14,X13,X16) )
& ( s_t(X11,X14,ins(X13,X16,X11,X14))
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz5_5a) ).
fof(f466,plain,
! [X14,X15,X12,X13] :
( ~ s_t(X13,X12,ins(X14,X15,X12,X13))
| X12 = X13
| ~ le(X12,X13,X14,X15) ),
inference(resolution,[],[f229,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| X0 = X1
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X11,X14,X13] :
( X11 = X14
| ~ s_t(X14,X11,X13)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_4) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f10960,plain,
( ! [X2] :
( le(sK2,sK3,sK1,X2)
| ~ s_t(X2,sF4,sK1) )
| ~ spl5_4 ),
inference(resolution,[],[f3966,f187]) ).
fof(f187,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : s_e(X0,X1,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aA1) ).
fof(f3966,plain,
( ! [X215,X216,X214] :
( ~ s_e(X214,sK1,X215,X216)
| le(sK2,sK3,X215,X216)
| ~ s_t(X214,sF4,sK1) )
| ~ spl5_4 ),
inference(resolution,[],[f807,f1106]) ).
fof(f1106,plain,
( s_e(sF4,sK1,sK2,sK3)
| ~ spl5_4 ),
inference(resolution,[],[f331,f251]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X14,X13,X16] :
( s_e(X14,X11,X13,X16)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz2_4) ).
fof(f331,plain,
( s_e(sK1,sF4,sK2,sK3)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl5_4
<=> s_e(sK1,sF4,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f807,plain,
! [X18,X19,X16,X14,X17,X15,X13] :
( ~ s_e(X17,X14,X18,X19)
| ~ s_e(X13,X14,X15,X16)
| le(X18,X19,X15,X16)
| ~ s_t(X13,X17,X14) ),
inference(resolution,[],[f297,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(subsumption_resolution,[],[f213,f208]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
& ( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X11,X14,X13] :
( ( ~ s_t(X13,X11,X14)
| s_col(X11,X14,X13) )
& ( ~ s_t(X14,X13,X11)
| s_col(X11,X14,X13) )
& ( ~ s_t(X11,X14,X13)
| s_col(X11,X14,X13) )
& ( s_t(X13,X11,X14)
| s_t(X14,X13,X11)
| s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',d_Defn4_10) ).
fof(f213,plain,
! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X11,X14,X13] :
( le(X14,X13,X11,X13)
| ~ s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz5_12a2) ).
fof(f297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ le(X0,X1,X2,X3)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| le(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X11,X14,X13,X16,X19,X20,X21,X25] :
( le(X19,X20,X21,X25)
| ~ s_e(X13,X16,X21,X25)
| ~ s_e(X11,X14,X19,X20)
| ~ le(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz5_6) ).
fof(f39902,plain,
( spl5_78
| spl5_1
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f39877,f1037,f316,f39810]) ).
fof(f316,plain,
( spl5_1
<=> sameside(sF4,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f1037,plain,
( spl5_5
<=> le(sK2,sK3,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f39877,plain,
( sK1 = sF4
| spl5_1
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f39876,f318]) ).
fof(f318,plain,
( ~ sameside(sF4,sK1,sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f39876,plain,
( sK1 = sF4
| sameside(sF4,sK1,sK0)
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f39857,f311]) ).
fof(f311,plain,
sK0 != sK1,
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
( sK0 != sK1
| sK0 != sK1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f39857,plain,
( sK0 = sK1
| sK1 = sF4
| sameside(sF4,sK1,sK0)
| ~ spl5_5 ),
inference(resolution,[],[f39627,f3428]) ).
fof(f3428,plain,
! [X11,X12,X13] :
( ~ s_t(X13,X11,X12)
| X12 = X13
| X11 = X12
| sameside(X11,X12,X13) ),
inference(resolution,[],[f823,f447]) ).
fof(f447,plain,
! [X8,X6,X7] :
( s_t(X6,X7,ext(X8,X7,alpha,gamma))
| ~ s_t(X8,X6,X7) ),
inference(resolution,[],[f242,f191]) ).
fof(f191,plain,
! [X0,X1] : s_t(X0,X1,ext(X0,X1,alpha,gamma)),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : s_t(X0,X1,ext(X0,X1,alpha,gamma)),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X11,X14] : s_t(X11,X14,ext(X11,X14,alpha,gamma)),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_14a) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X2,X3)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X13,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_6a) ).
fof(f823,plain,
! [X31,X29,X30] :
( ~ s_t(X29,X30,ext(X31,X30,alpha,gamma))
| sameside(X29,X30,X31)
| X30 = X31
| X29 = X30 ),
inference(subsumption_resolution,[],[f816,f190]) ).
fof(f190,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X14,X11] : ext(X11,X14,alpha,gamma) != X14,
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_14b) ).
fof(f816,plain,
! [X31,X29,X30] :
( sameside(X29,X30,X31)
| ~ s_t(X29,X30,ext(X31,X30,alpha,gamma))
| ext(X31,X30,alpha,gamma) = X30
| X30 = X31
| X29 = X30 ),
inference(resolution,[],[f232,f191]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X2,X1,X3)
| sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X11,X12,X14,X13] :
( sameside(X11,X12,X14)
| ~ s_t(X14,X12,X13)
| ~ s_t(X11,X12,X13)
| X12 = X13
| X12 = X14
| X11 = X12 ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz6_2a) ).
fof(f39627,plain,
( s_t(sK0,sF4,sK1)
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f1719,f1038]) ).
fof(f1038,plain,
( le(sK2,sK3,sK1,sK0)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1719,plain,
( s_t(sK0,sF4,sK1)
| ~ le(sK2,sK3,sK1,sK0) ),
inference(superposition,[],[f487,f305]) ).
fof(f305,plain,
insert(sK2,sK3,sK1,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f487,plain,
! [X21,X19,X22,X20] :
( s_t(X22,insert(X19,X20,X21,X22),X21)
| ~ le(X19,X20,X21,X22) ),
inference(resolution,[],[f257,f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X11,X14,X13] :
( s_t(X13,X14,X11)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz3_2) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) )
& ( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) )
& ( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X11,X14,X13,X16,X1] :
( ( le(X11,X14,X13,X16)
| ~ s_e(X11,X14,X13,X1)
| ~ s_t(X13,X1,X16) )
& ( s_e(X11,X14,X13,insert(X11,X14,X13,X16))
| ~ le(X11,X14,X13,X16) )
& ( s_t(X13,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',d_Defn5_4) ).
fof(f39614,plain,
( spl5_1
| spl5_6 ),
inference(avatar_contradiction_clause,[],[f39613]) ).
fof(f39613,plain,
( $false
| spl5_1
| spl5_6 ),
inference(subsumption_resolution,[],[f39580,f38298]) ).
fof(f38298,plain,
( ~ s_t(sK0,sK1,sF4)
| spl5_6 ),
inference(subsumption_resolution,[],[f38288,f311]) ).
fof(f38288,plain,
( sK0 = sK1
| ~ s_t(sK0,sK1,sF4)
| spl5_6 ),
inference(resolution,[],[f28011,f220]) ).
fof(f28011,plain,
( s_t(sK1,sK0,sF4)
| spl5_6 ),
inference(subsumption_resolution,[],[f27963,f1042]) ).
fof(f1042,plain,
( ~ s_t(sK1,sF4,sK0)
| spl5_6 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl5_6
<=> s_t(sK1,sF4,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f27963,plain,
( s_t(sK1,sK0,sF4)
| s_t(sK1,sF4,sK0) ),
inference(resolution,[],[f736,f1607]) ).
fof(f1607,plain,
s_t(ext(sK0,sK1,alpha,gamma),sK1,sF4),
inference(superposition,[],[f584,f305]) ).
fof(f584,plain,
! [X34,X35,X32,X33] : s_t(ext(X32,X33,alpha,gamma),X33,insert(X34,X35,X33,X32)),
inference(superposition,[],[f227,f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X11,X14,X19,X21] : insert(X11,X14,X19,X21) = ext(ext(X21,X19,alpha,gamma),X19,X11,X14),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',d_insert) ).
fof(f227,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X6,X3] :
( s_e(X1,ext(X0,X1,X6,X3),X6,X3)
& s_t(X0,X1,ext(X0,X1,X6,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aA4) ).
fof(f736,plain,
! [X50,X51,X52] :
( ~ s_t(ext(X52,X50,alpha,gamma),X50,X51)
| s_t(X50,X52,X51)
| s_t(X50,X51,X52) ),
inference(subsumption_resolution,[],[f734,f190]) ).
fof(f734,plain,
! [X50,X51,X52] :
( s_t(X50,X51,X52)
| s_t(X50,X52,X51)
| ~ s_t(ext(X52,X50,alpha,gamma),X50,X51)
| ext(X52,X50,alpha,gamma) = X50 ),
inference(resolution,[],[f235,f369]) ).
fof(f369,plain,
! [X4,X5] : s_t(ext(X4,X5,alpha,gamma),X5,X4),
inference(resolution,[],[f221,f191]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X1,X3)
| s_t(X1,X2,X3)
| s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X16,X13)
| s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16)
| ~ s_t(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz5_2) ).
fof(f39580,plain,
( s_t(sK0,sK1,sF4)
| spl5_1
| spl5_6 ),
inference(resolution,[],[f39329,f221]) ).
fof(f39329,plain,
( s_t(sF4,sK1,sK0)
| spl5_1
| spl5_6 ),
inference(subsumption_resolution,[],[f39328,f318]) ).
fof(f39328,plain,
( s_t(sF4,sK1,sK0)
| sameside(sF4,sK1,sK0)
| spl5_6 ),
inference(resolution,[],[f38286,f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_t(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X11,X12,X14] :
( s_t(X11,X12,X14)
| ~ s_col(X11,X12,X14)
| sameside(X11,X12,X14) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz6_4b) ).
fof(f38286,plain,
( s_col(sF4,sK1,sK0)
| spl5_6 ),
inference(resolution,[],[f28011,f209]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f12266,plain,
( ~ spl5_6
| spl5_5
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f12166,f1082,f1037,f1041]) ).
fof(f1082,plain,
( spl5_7
<=> s_e(sK2,sK3,sK1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f12166,plain,
( ~ s_t(sK1,sF4,sK0)
| spl5_5
| ~ spl5_7 ),
inference(resolution,[],[f1168,f1039]) ).
fof(f1039,plain,
( ~ le(sK2,sK3,sK1,sK0)
| spl5_5 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1168,plain,
( ! [X0] :
( le(sK2,sK3,sK1,X0)
| ~ s_t(sK1,sF4,X0) )
| ~ spl5_7 ),
inference(resolution,[],[f1084,f259]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X1,X2,X4)
| le(X0,X1,X2,X3)
| ~ s_t(X2,X4,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1084,plain,
( s_e(sK2,sK3,sK1,sF4)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1127,plain,
( spl5_7
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f1104,f330,f1082]) ).
fof(f1104,plain,
( s_e(sK2,sK3,sK1,sF4)
| ~ spl5_4 ),
inference(resolution,[],[f331,f249]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X11,X14,X13,X16] :
( s_e(X13,X16,X11,X14)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444',aSatz2_2) ).
fof(f1102,plain,
spl5_4,
inference(avatar_split_clause,[],[f1079,f330]) ).
fof(f1079,plain,
s_e(sK1,sF4,sK2,sK3),
inference(superposition,[],[f583,f305]) ).
fof(f583,plain,
! [X31,X28,X29,X30] : s_e(X29,insert(X30,X31,X29,X28),X30,X31),
inference(superposition,[],[f228,f226]) ).
fof(f228,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f118]) ).
fof(f335,plain,
( ~ spl5_1
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f306,f330,f316]) ).
fof(f306,plain,
( ~ s_e(sK1,sF4,sK2,sK3)
| ~ sameside(sF4,sK1,sK0) ),
inference(definition_folding,[],[f175,f305,f305]) ).
fof(f175,plain,
( ~ s_e(sK1,insert(sK2,sK3,sK1,sK0),sK2,sK3)
| ~ sameside(insert(sK2,sK3,sK1,sK0),sK1,sK0) ),
inference(cnf_transformation,[],[f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 22:37:42 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.l3irubFHdz/Vampire---4.8_21444
% 0.16/0.37 % (21551)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.43 % (21557)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.16/0.43 % (21554)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.16/0.43 % (21555)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.16/0.43 % (21556)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.16/0.43 % (21552)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.16/0.43 % (21553)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.16/0.43 % (21558)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.16/0.43 % (21558)Refutation not found, incomplete strategy% (21558)------------------------------
% 0.16/0.43 % (21558)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.43 % (21558)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.43 % (21558)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.43
% 0.16/0.43 % (21558)Memory used [KB]: 5628
% 0.16/0.43 % (21558)Time elapsed: 0.005 s
% 0.16/0.43 % (21558)------------------------------
% 0.16/0.43 % (21558)------------------------------
% 0.16/0.44 % (21552)Refutation not found, incomplete strategy% (21552)------------------------------
% 0.16/0.44 % (21552)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.44 % (21552)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.44 % (21552)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.44
% 0.16/0.44 % (21552)Memory used [KB]: 5756
% 0.16/0.44 % (21552)Time elapsed: 0.007 s
% 0.16/0.44 % (21552)------------------------------
% 0.16/0.44 % (21552)------------------------------
% 0.23/0.49 % (21559)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.23/0.51 % (21560)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 66.74/9.92 % (21560)First to succeed.
% 66.74/9.92 % (21560)Refutation found. Thanks to Tanya!
% 66.74/9.92 % SZS status Theorem for Vampire---4
% 66.74/9.92 % SZS output start Proof for Vampire---4
% See solution above
% 66.74/9.92 % (21560)------------------------------
% 66.74/9.92 % (21560)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 66.74/9.92 % (21560)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 66.74/9.92 % (21560)Termination reason: Refutation
% 66.74/9.92
% 66.74/9.92 % (21560)Memory used [KB]: 36459
% 66.74/9.92 % (21560)Time elapsed: 9.416 s
% 66.74/9.92 % (21560)------------------------------
% 66.74/9.92 % (21560)------------------------------
% 66.74/9.92 % (21551)Success in time 9.515 s
% 66.74/9.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------