TSTP Solution File: SET967+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET967+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n007.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 : Thu Aug 31 15:46:32 EDT 2023
% Result : Theorem 54.48s 8.23s
% Output : Refutation 54.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of formulae : 203 ( 26 unt; 0 def)
% Number of atoms : 572 ( 107 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 636 ( 267 ~; 331 |; 32 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 343 (; 329 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140662,plain,
$false,
inference(subsumption_resolution,[],[f140661,f139633]) ).
fof(f139633,plain,
sF27 != sF30,
inference(subsumption_resolution,[],[f110,f139632]) ).
fof(f139632,plain,
sF23 = sF26,
inference(duplicate_literal_removal,[],[f139631]) ).
fof(f139631,plain,
( sF23 = sF26
| sF23 = sF26 ),
inference(forward_demodulation,[],[f139625,f46474]) ).
fof(f46474,plain,
sF23 = set_union2(sF23,sF26),
inference(superposition,[],[f46471,f52]) ).
fof(f52,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',commutativity_k2_xboole_0) ).
fof(f46471,plain,
sF23 = set_union2(sF26,sF23),
inference(subsumption_resolution,[],[f46470,f42721]) ).
fof(f42721,plain,
! [X4] :
( in(sK7(sF26,X4,X4),sF23)
| set_union2(sF26,X4) = X4 ),
inference(subsumption_resolution,[],[f42705,f32224]) ).
fof(f32224,plain,
! [X3] :
( ~ in(X3,sF24)
| in(X3,sF23) ),
inference(subsumption_resolution,[],[f32223,f535]) ).
fof(f535,plain,
! [X3] :
( in(sK8(X3),sK2)
| ~ in(X3,sF24) ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f532,plain,
! [X3] :
( ~ in(X3,sF24)
| in(sK8(X3),sK2)
| ~ in(X3,sF24) ),
inference(superposition,[],[f334,f103]) ).
fof(f103,plain,
cartesian_product2(sK2,sK0) = sF24,
introduced(function_definition,[]) ).
fof(f334,plain,
! [X56,X54,X55] :
( ~ in(X54,cartesian_product2(X55,X56))
| in(sK8(X54),sK2)
| ~ in(X54,sF24) ),
inference(superposition,[],[f253,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ordered_pair(sK8(X0),sK9(X0)) = X0
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ordered_pair(sK8(X0),sK9(X0)) = X0
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f26,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X3,X4] : ordered_pair(X3,X4) = X0
=> ordered_pair(sK8(X0),sK9(X0)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ? [X3,X4] : ordered_pair(X3,X4) = X0
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
~ ( ! [X3,X4] : ordered_pair(X3,X4) != X0
& in(X0,cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',t102_zfmisc_1) ).
fof(f253,plain,
! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sF24)
| in(X6,sK2) ),
inference(superposition,[],[f73,f103]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',l55_zfmisc_1) ).
fof(f32223,plain,
! [X3] :
( ~ in(X3,sF24)
| ~ in(sK8(X3),sK2)
| in(X3,sF23) ),
inference(subsumption_resolution,[],[f32220,f1151]) ).
fof(f1151,plain,
! [X0] :
( in(sK9(X0),sF22)
| ~ in(X0,sF24) ),
inference(resolution,[],[f1150,f134]) ).
fof(f134,plain,
! [X8] :
( ~ in(X8,sK0)
| in(X8,sF22) ),
inference(superposition,[],[f79,f101]) ).
fof(f101,plain,
set_union2(sK0,sK1) = sF22,
introduced(function_definition,[]) ).
fof(f79,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK7(X0,X1,X2),X1)
& ~ in(sK7(X0,X1,X2),X0) )
| ~ in(sK7(X0,X1,X2),X2) )
& ( in(sK7(X0,X1,X2),X1)
| in(sK7(X0,X1,X2),X0)
| in(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK7(X0,X1,X2),X1)
& ~ in(sK7(X0,X1,X2),X0) )
| ~ in(sK7(X0,X1,X2),X2) )
& ( in(sK7(X0,X1,X2),X1)
| in(sK7(X0,X1,X2),X0)
| in(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',d2_xboole_0) ).
fof(f1150,plain,
! [X3] :
( in(sK9(X3),sK0)
| ~ in(X3,sF24) ),
inference(duplicate_literal_removal,[],[f1147]) ).
fof(f1147,plain,
! [X3] :
( ~ in(X3,sF24)
| in(sK9(X3),sK0)
| ~ in(X3,sF24) ),
inference(superposition,[],[f340,f103]) ).
fof(f340,plain,
! [X72,X73,X74] :
( ~ in(X72,cartesian_product2(X73,X74))
| in(sK9(X72),sK0)
| ~ in(X72,sF24) ),
inference(superposition,[],[f259,f71]) ).
fof(f259,plain,
! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sF24)
| in(X7,sK0) ),
inference(superposition,[],[f74,f103]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f32220,plain,
! [X3] :
( ~ in(X3,sF24)
| ~ in(sK9(X3),sF22)
| ~ in(sK8(X3),sK2)
| in(X3,sF23) ),
inference(superposition,[],[f450,f103]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sF22)
| ~ in(sK8(X0),sK2)
| in(X0,sF23) ),
inference(superposition,[],[f370,f71]) ).
fof(f370,plain,
! [X4,X5] :
( in(ordered_pair(X4,X5),sF23)
| ~ in(X5,sF22)
| ~ in(X4,sK2) ),
inference(superposition,[],[f75,f102]) ).
fof(f102,plain,
cartesian_product2(sK2,sF22) = sF23,
introduced(function_definition,[]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f42705,plain,
! [X4] :
( in(sK7(sF26,X4,X4),sF24)
| set_union2(sF26,X4) = X4
| in(sK7(sF26,X4,X4),sF23) ),
inference(resolution,[],[f576,f32226]) ).
fof(f32226,plain,
! [X4] :
( ~ in(X4,sF25)
| in(X4,sF23) ),
inference(subsumption_resolution,[],[f32225,f1064]) ).
fof(f1064,plain,
! [X4] :
( in(sK8(X4),sK2)
| ~ in(X4,sF25) ),
inference(duplicate_literal_removal,[],[f1062]) ).
fof(f1062,plain,
! [X4] :
( ~ in(X4,sF25)
| in(sK8(X4),sK2)
| ~ in(X4,sF25) ),
inference(superposition,[],[f335,f104]) ).
fof(f104,plain,
cartesian_product2(sK2,sK1) = sF25,
introduced(function_definition,[]) ).
fof(f335,plain,
! [X58,X59,X57] :
( ~ in(X57,cartesian_product2(X58,X59))
| in(sK8(X57),sK2)
| ~ in(X57,sF25) ),
inference(superposition,[],[f254,f71]) ).
fof(f254,plain,
! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sF25)
| in(X8,sK2) ),
inference(superposition,[],[f73,f104]) ).
fof(f32225,plain,
! [X4] :
( ~ in(X4,sF25)
| ~ in(sK8(X4),sK2)
| in(X4,sF23) ),
inference(subsumption_resolution,[],[f32221,f1167]) ).
fof(f1167,plain,
! [X0] :
( in(sK9(X0),sF22)
| ~ in(X0,sF25) ),
inference(resolution,[],[f1166,f127]) ).
fof(f127,plain,
! [X8] :
( ~ in(X8,sK1)
| in(X8,sF22) ),
inference(superposition,[],[f78,f101]) ).
fof(f78,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f1166,plain,
! [X4] :
( in(sK9(X4),sK1)
| ~ in(X4,sF25) ),
inference(duplicate_literal_removal,[],[f1164]) ).
fof(f1164,plain,
! [X4] :
( ~ in(X4,sF25)
| in(sK9(X4),sK1)
| ~ in(X4,sF25) ),
inference(superposition,[],[f341,f104]) ).
fof(f341,plain,
! [X76,X77,X75] :
( ~ in(X75,cartesian_product2(X76,X77))
| in(sK9(X75),sK1)
| ~ in(X75,sF25) ),
inference(superposition,[],[f260,f71]) ).
fof(f260,plain,
! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sF25)
| in(X9,sK1) ),
inference(superposition,[],[f74,f104]) ).
fof(f32221,plain,
! [X4] :
( ~ in(X4,sF25)
| ~ in(sK9(X4),sF22)
| ~ in(sK8(X4),sK2)
| in(X4,sF23) ),
inference(superposition,[],[f450,f104]) ).
fof(f576,plain,
! [X18] :
( in(sK7(sF26,X18,X18),sF25)
| in(sK7(sF26,X18,X18),sF24)
| set_union2(sF26,X18) = X18 ),
inference(resolution,[],[f561,f317]) ).
fof(f317,plain,
! [X9] :
( ~ in(X9,sF26)
| in(X9,sF24)
| in(X9,sF25) ),
inference(superposition,[],[f80,f105]) ).
fof(f105,plain,
set_union2(sF24,sF25) = sF26,
introduced(function_definition,[]) ).
fof(f80,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f561,plain,
! [X0,X1] :
( in(sK7(X0,X1,X1),X0)
| set_union2(X0,X1) = X1 ),
inference(subsumption_resolution,[],[f557,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ in(sK7(X0,X1,X2),X2)
| ~ in(sK7(X0,X1,X2),X1)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f557,plain,
! [X0,X1] :
( in(sK7(X0,X1,X1),X1)
| in(sK7(X0,X1,X1),X0)
| set_union2(X0,X1) = X1 ),
inference(factoring,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X2)
| in(sK7(X0,X1,X2),X1)
| in(sK7(X0,X1,X2),X0)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f46470,plain,
( sF23 = set_union2(sF26,sF23)
| ~ in(sK7(sF26,sF23,sF23),sF23) ),
inference(duplicate_literal_removal,[],[f46456]) ).
fof(f46456,plain,
( sF23 = set_union2(sF26,sF23)
| ~ in(sK7(sF26,sF23,sF23),sF23)
| sF23 = set_union2(sF26,sF23) ),
inference(resolution,[],[f42721,f70]) ).
fof(f139625,plain,
( sF23 = sF26
| sF26 = set_union2(sF23,sF26) ),
inference(resolution,[],[f139616,f135696]) ).
fof(f135696,plain,
! [X0,X1] :
( ~ in(sK7(X1,X0,X0),X0)
| set_union2(X1,X0) = X0 ),
inference(superposition,[],[f92119,f50]) ).
fof(f50,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',idempotence_k2_xboole_0) ).
fof(f92119,plain,
! [X2,X0,X1] :
( ~ in(sK7(X0,X1,set_union2(X2,X1)),X1)
| set_union2(X0,X1) = set_union2(X2,X1) ),
inference(subsumption_resolution,[],[f92118,f430]) ).
fof(f430,plain,
! [X6,X7,X4,X5] :
( ~ in(sK7(X4,X5,set_union2(X6,X7)),X7)
| set_union2(X4,X5) = set_union2(X6,X7)
| ~ in(sK7(X4,X5,set_union2(X6,X7)),X4) ),
inference(resolution,[],[f69,f78]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ in(sK7(X0,X1,X2),X2)
| ~ in(sK7(X0,X1,X2),X0)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f92118,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = set_union2(X2,X1)
| in(sK7(X0,X1,set_union2(X2,X1)),X0)
| ~ in(sK7(X0,X1,set_union2(X2,X1)),X1) ),
inference(duplicate_literal_removal,[],[f91981]) ).
fof(f91981,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = set_union2(X2,X1)
| in(sK7(X0,X1,set_union2(X2,X1)),X0)
| set_union2(X0,X1) = set_union2(X2,X1)
| ~ in(sK7(X0,X1,set_union2(X2,X1)),X1) ),
inference(resolution,[],[f18328,f489]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( ~ in(sK7(X0,X1,set_union2(X2,X3)),X2)
| set_union2(X0,X1) = set_union2(X2,X3)
| ~ in(sK7(X0,X1,set_union2(X2,X3)),X1) ),
inference(resolution,[],[f70,f79]) ).
fof(f18328,plain,
! [X8,X6,X7] :
( in(sK7(X6,X7,set_union2(X8,X7)),X8)
| set_union2(X6,X7) = set_union2(X8,X7)
| in(sK7(X6,X7,set_union2(X8,X7)),X6) ),
inference(subsumption_resolution,[],[f18271,f490]) ).
fof(f490,plain,
! [X6,X7,X4,X5] :
( ~ in(sK7(X4,X5,set_union2(X6,X7)),X7)
| set_union2(X4,X5) = set_union2(X6,X7)
| ~ in(sK7(X4,X5,set_union2(X6,X7)),X5) ),
inference(resolution,[],[f70,f78]) ).
fof(f18271,plain,
! [X8,X6,X7] :
( in(sK7(X6,X7,set_union2(X8,X7)),X7)
| in(sK7(X6,X7,set_union2(X8,X7)),X6)
| set_union2(X6,X7) = set_union2(X8,X7)
| in(sK7(X6,X7,set_union2(X8,X7)),X8) ),
inference(factoring,[],[f540]) ).
fof(f540,plain,
! [X10,X11,X9,X12] :
( in(sK7(X9,X10,set_union2(X11,X12)),X12)
| in(sK7(X9,X10,set_union2(X11,X12)),X9)
| set_union2(X9,X10) = set_union2(X11,X12)
| in(sK7(X9,X10,set_union2(X11,X12)),X11)
| in(sK7(X9,X10,set_union2(X11,X12)),X10) ),
inference(resolution,[],[f68,f80]) ).
fof(f139616,plain,
( in(sK7(sF23,sF26,sF26),sF26)
| sF23 = sF26 ),
inference(subsumption_resolution,[],[f139614,f135]) ).
fof(f135,plain,
! [X9] :
( ~ in(X9,sF24)
| in(X9,sF26) ),
inference(superposition,[],[f79,f105]) ).
fof(f139614,plain,
( sF23 = sF26
| in(sK7(sF23,sF26,sF26),sF24)
| in(sK7(sF23,sF26,sF26),sF26) ),
inference(resolution,[],[f94869,f128]) ).
fof(f128,plain,
! [X9] :
( ~ in(X9,sF25)
| in(X9,sF26) ),
inference(superposition,[],[f78,f105]) ).
fof(f94869,plain,
( in(sK7(sF23,sF26,sF26),sF25)
| sF23 = sF26
| in(sK7(sF23,sF26,sF26),sF24) ),
inference(resolution,[],[f94815,f34861]) ).
fof(f34861,plain,
! [X1] :
( ~ in(X1,sF23)
| in(X1,sF25)
| in(X1,sF24) ),
inference(duplicate_literal_removal,[],[f34858]) ).
fof(f34858,plain,
! [X1] :
( in(X1,sF25)
| ~ in(X1,sF23)
| ~ in(X1,sF23)
| in(X1,sF24) ),
inference(resolution,[],[f34854,f32771]) ).
fof(f32771,plain,
! [X2] :
( ~ in(sK9(X2),sK0)
| ~ in(X2,sF23)
| in(X2,sF24) ),
inference(subsumption_resolution,[],[f32767,f526]) ).
fof(f526,plain,
! [X2] :
( in(sK8(X2),sK2)
| ~ in(X2,sF23) ),
inference(duplicate_literal_removal,[],[f522]) ).
fof(f522,plain,
! [X2] :
( ~ in(X2,sF23)
| in(sK8(X2),sK2)
| ~ in(X2,sF23) ),
inference(superposition,[],[f333,f102]) ).
fof(f333,plain,
! [X51,X52,X53] :
( ~ in(X51,cartesian_product2(X52,X53))
| in(sK8(X51),sK2)
| ~ in(X51,sF23) ),
inference(superposition,[],[f252,f71]) ).
fof(f252,plain,
! [X4,X5] :
( ~ in(ordered_pair(X4,X5),sF23)
| in(X4,sK2) ),
inference(superposition,[],[f73,f102]) ).
fof(f32767,plain,
! [X2] :
( ~ in(X2,sF23)
| ~ in(sK9(X2),sK0)
| ~ in(sK8(X2),sK2)
| in(X2,sF24) ),
inference(superposition,[],[f457,f102]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sK0)
| ~ in(sK8(X0),sK2)
| in(X0,sF24) ),
inference(superposition,[],[f371,f71]) ).
fof(f371,plain,
! [X6,X7] :
( in(ordered_pair(X6,X7),sF24)
| ~ in(X7,sK0)
| ~ in(X6,sK2) ),
inference(superposition,[],[f75,f103]) ).
fof(f34854,plain,
! [X1] :
( in(sK9(X1),sK0)
| in(X1,sF25)
| ~ in(X1,sF23) ),
inference(duplicate_literal_removal,[],[f34853]) ).
fof(f34853,plain,
! [X1] :
( ~ in(X1,sF23)
| in(X1,sF25)
| in(sK9(X1),sK0)
| ~ in(X1,sF23) ),
inference(resolution,[],[f33659,f1135]) ).
fof(f1135,plain,
! [X0] :
( in(sK9(X0),sK1)
| in(sK9(X0),sK0)
| ~ in(X0,sF23) ),
inference(resolution,[],[f1134,f316]) ).
fof(f316,plain,
! [X8] :
( ~ in(X8,sF22)
| in(X8,sK0)
| in(X8,sK1) ),
inference(superposition,[],[f80,f101]) ).
fof(f1134,plain,
! [X2] :
( in(sK9(X2),sF22)
| ~ in(X2,sF23) ),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1130,plain,
! [X2] :
( ~ in(X2,sF23)
| in(sK9(X2),sF22)
| ~ in(X2,sF23) ),
inference(superposition,[],[f339,f102]) ).
fof(f339,plain,
! [X70,X71,X69] :
( ~ in(X69,cartesian_product2(X70,X71))
| in(sK9(X69),sF22)
| ~ in(X69,sF23) ),
inference(superposition,[],[f258,f71]) ).
fof(f258,plain,
! [X4,X5] :
( ~ in(ordered_pair(X4,X5),sF23)
| in(X5,sF22) ),
inference(superposition,[],[f74,f102]) ).
fof(f33659,plain,
! [X2] :
( ~ in(sK9(X2),sK1)
| ~ in(X2,sF23)
| in(X2,sF25) ),
inference(subsumption_resolution,[],[f33655,f526]) ).
fof(f33655,plain,
! [X2] :
( ~ in(X2,sF23)
| ~ in(sK9(X2),sK1)
| ~ in(sK8(X2),sK2)
| in(X2,sF25) ),
inference(superposition,[],[f464,f102]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sK1)
| ~ in(sK8(X0),sK2)
| in(X0,sF25) ),
inference(superposition,[],[f372,f71]) ).
fof(f372,plain,
! [X8,X9] :
( in(ordered_pair(X8,X9),sF25)
| ~ in(X9,sK1)
| ~ in(X8,sK2) ),
inference(superposition,[],[f75,f104]) ).
fof(f94815,plain,
( in(sK7(sF23,sF26,sF26),sF23)
| sF23 = sF26 ),
inference(superposition,[],[f71494,f46474]) ).
fof(f71494,plain,
! [X0,X1] :
( in(sK7(set_union2(X0,X1),X1,X1),X0)
| set_union2(X0,X1) = X1 ),
inference(forward_demodulation,[],[f71493,f6913]) ).
fof(f6913,plain,
! [X2,X1] : set_union2(X2,X1) = set_union2(set_union2(X2,X1),X1),
inference(superposition,[],[f6905,f52]) ).
fof(f6905,plain,
! [X2,X3] : set_union2(X2,X3) = set_union2(set_union2(X2,X3),X2),
inference(subsumption_resolution,[],[f6903,f562]) ).
fof(f562,plain,
! [X2,X3] :
( in(sK7(X2,X3,X2),X3)
| set_union2(X2,X3) = X2 ),
inference(subsumption_resolution,[],[f558,f69]) ).
fof(f558,plain,
! [X2,X3] :
( in(sK7(X2,X3,X2),X2)
| in(sK7(X2,X3,X2),X3)
| set_union2(X2,X3) = X2 ),
inference(factoring,[],[f68]) ).
fof(f6903,plain,
! [X2,X3] :
( set_union2(X2,X3) = set_union2(set_union2(X2,X3),X2)
| ~ in(sK7(set_union2(X2,X3),X2,set_union2(X2,X3)),X2) ),
inference(duplicate_literal_removal,[],[f6832]) ).
fof(f6832,plain,
! [X2,X3] :
( set_union2(X2,X3) = set_union2(set_union2(X2,X3),X2)
| ~ in(sK7(set_union2(X2,X3),X2,set_union2(X2,X3)),X2)
| set_union2(X2,X3) = set_union2(set_union2(X2,X3),X2) ),
inference(resolution,[],[f489,f562]) ).
fof(f71493,plain,
! [X0,X1] :
( in(sK7(set_union2(X0,X1),X1,X1),X0)
| set_union2(set_union2(X0,X1),X1) = X1 ),
inference(subsumption_resolution,[],[f71492,f566]) ).
fof(f566,plain,
! [X6,X4,X5] :
( in(sK7(set_union2(X4,X5),X6,X6),X5)
| in(sK7(set_union2(X4,X5),X6,X6),X4)
| set_union2(set_union2(X4,X5),X6) = X6 ),
inference(resolution,[],[f561,f80]) ).
fof(f71492,plain,
! [X0,X1] :
( in(sK7(set_union2(X0,X1),X1,X1),X0)
| set_union2(set_union2(X0,X1),X1) = X1
| ~ in(sK7(set_union2(X0,X1),X1,X1),X1) ),
inference(duplicate_literal_removal,[],[f71338]) ).
fof(f71338,plain,
! [X0,X1] :
( in(sK7(set_union2(X0,X1),X1,X1),X0)
| set_union2(set_union2(X0,X1),X1) = X1
| ~ in(sK7(set_union2(X0,X1),X1,X1),X1)
| set_union2(set_union2(X0,X1),X1) = X1 ),
inference(resolution,[],[f566,f70]) ).
fof(f110,plain,
( sF27 != sF30
| sF23 != sF26 ),
inference(definition_folding,[],[f48,f109,f108,f107,f106,f101,f105,f104,f103,f102,f101]) ).
fof(f106,plain,
cartesian_product2(sF22,sK2) = sF27,
introduced(function_definition,[]) ).
fof(f107,plain,
cartesian_product2(sK0,sK2) = sF28,
introduced(function_definition,[]) ).
fof(f108,plain,
cartesian_product2(sK1,sK2) = sF29,
introduced(function_definition,[]) ).
fof(f109,plain,
set_union2(sF28,sF29) = sF30,
introduced(function_definition,[]) ).
fof(f48,plain,
( cartesian_product2(sK2,set_union2(sK0,sK1)) != set_union2(cartesian_product2(sK2,sK0),cartesian_product2(sK2,sK1))
| cartesian_product2(set_union2(sK0,sK1),sK2) != set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK1,sK2)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( cartesian_product2(sK2,set_union2(sK0,sK1)) != set_union2(cartesian_product2(sK2,sK0),cartesian_product2(sK2,sK1))
| cartesian_product2(set_union2(sK0,sK1),sK2) != set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f20,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( cartesian_product2(X2,set_union2(X0,X1)) != set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
| cartesian_product2(set_union2(X0,X1),X2) != set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) )
=> ( cartesian_product2(sK2,set_union2(sK0,sK1)) != set_union2(cartesian_product2(sK2,sK0),cartesian_product2(sK2,sK1))
| cartesian_product2(set_union2(sK0,sK1),sK2) != set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2] :
( cartesian_product2(X2,set_union2(X0,X1)) != set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
| cartesian_product2(set_union2(X0,X1),X2) != set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2] :
( cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X0,X1,X2] :
( cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598',t120_zfmisc_1) ).
fof(f140661,plain,
sF27 = sF30,
inference(forward_demodulation,[],[f140655,f51092]) ).
fof(f51092,plain,
sF27 = set_union2(sF27,sF30),
inference(superposition,[],[f51089,f52]) ).
fof(f51089,plain,
sF27 = set_union2(sF30,sF27),
inference(subsumption_resolution,[],[f51088,f42886]) ).
fof(f42886,plain,
! [X4] :
( in(sK7(sF30,X4,X4),sF27)
| set_union2(sF30,X4) = X4 ),
inference(subsumption_resolution,[],[f42870,f35105]) ).
fof(f35105,plain,
! [X0] :
( ~ in(X0,sF28)
| in(X0,sF27) ),
inference(subsumption_resolution,[],[f35104,f503]) ).
fof(f503,plain,
! [X0] :
( in(sK8(X0),sF22)
| ~ in(X0,sF28) ),
inference(resolution,[],[f502,f134]) ).
fof(f502,plain,
! [X0] :
( in(sK8(X0),sK0)
| ~ in(X0,sF28) ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f496,plain,
! [X0] :
( ~ in(X0,sF28)
| in(sK8(X0),sK0)
| ~ in(X0,sF28) ),
inference(superposition,[],[f331,f107]) ).
fof(f331,plain,
! [X46,X47,X45] :
( ~ in(X45,cartesian_product2(X46,X47))
| in(sK8(X45),sK0)
| ~ in(X45,sF28) ),
inference(superposition,[],[f250,f71]) ).
fof(f250,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF28)
| in(X0,sK0) ),
inference(superposition,[],[f73,f107]) ).
fof(f35104,plain,
! [X0] :
( ~ in(X0,sF28)
| ~ in(sK8(X0),sF22)
| in(X0,sF27) ),
inference(subsumption_resolution,[],[f35098,f1108]) ).
fof(f1108,plain,
! [X0] :
( in(sK9(X0),sK2)
| ~ in(X0,sF28) ),
inference(duplicate_literal_removal,[],[f1102]) ).
fof(f1102,plain,
! [X0] :
( ~ in(X0,sF28)
| in(sK9(X0),sK2)
| ~ in(X0,sF28) ),
inference(superposition,[],[f337,f107]) ).
fof(f337,plain,
! [X65,X63,X64] :
( ~ in(X63,cartesian_product2(X64,X65))
| in(sK9(X63),sK2)
| ~ in(X63,sF28) ),
inference(superposition,[],[f256,f71]) ).
fof(f256,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF28)
| in(X1,sK2) ),
inference(superposition,[],[f74,f107]) ).
fof(f35098,plain,
! [X0] :
( ~ in(X0,sF28)
| ~ in(sK9(X0),sK2)
| ~ in(sK8(X0),sF22)
| in(X0,sF27) ),
inference(superposition,[],[f470,f107]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sK2)
| ~ in(sK8(X0),sF22)
| in(X0,sF27) ),
inference(superposition,[],[f373,f71]) ).
fof(f373,plain,
! [X10,X11] :
( in(ordered_pair(X10,X11),sF27)
| ~ in(X11,sK2)
| ~ in(X10,sF22) ),
inference(superposition,[],[f75,f106]) ).
fof(f42870,plain,
! [X4] :
( in(sK7(sF30,X4,X4),sF28)
| set_union2(sF30,X4) = X4
| in(sK7(sF30,X4,X4),sF27) ),
inference(resolution,[],[f582,f35107]) ).
fof(f35107,plain,
! [X1] :
( ~ in(X1,sF29)
| in(X1,sF27) ),
inference(subsumption_resolution,[],[f35106,f515]) ).
fof(f515,plain,
! [X0] :
( in(sK8(X0),sF22)
| ~ in(X0,sF29) ),
inference(resolution,[],[f514,f127]) ).
fof(f514,plain,
! [X1] :
( in(sK8(X1),sK1)
| ~ in(X1,sF29) ),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f509,plain,
! [X1] :
( ~ in(X1,sF29)
| in(sK8(X1),sK1)
| ~ in(X1,sF29) ),
inference(superposition,[],[f332,f108]) ).
fof(f332,plain,
! [X50,X48,X49] :
( ~ in(X48,cartesian_product2(X49,X50))
| in(sK8(X48),sK1)
| ~ in(X48,sF29) ),
inference(superposition,[],[f251,f71]) ).
fof(f251,plain,
! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF29)
| in(X2,sK1) ),
inference(superposition,[],[f73,f108]) ).
fof(f35106,plain,
! [X1] :
( ~ in(X1,sF29)
| ~ in(sK8(X1),sF22)
| in(X1,sF27) ),
inference(subsumption_resolution,[],[f35099,f1121]) ).
fof(f1121,plain,
! [X1] :
( in(sK9(X1),sK2)
| ~ in(X1,sF29) ),
inference(duplicate_literal_removal,[],[f1116]) ).
fof(f1116,plain,
! [X1] :
( ~ in(X1,sF29)
| in(sK9(X1),sK2)
| ~ in(X1,sF29) ),
inference(superposition,[],[f338,f108]) ).
fof(f338,plain,
! [X68,X66,X67] :
( ~ in(X66,cartesian_product2(X67,X68))
| in(sK9(X66),sK2)
| ~ in(X66,sF29) ),
inference(superposition,[],[f257,f71]) ).
fof(f257,plain,
! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF29)
| in(X3,sK2) ),
inference(superposition,[],[f74,f108]) ).
fof(f35099,plain,
! [X1] :
( ~ in(X1,sF29)
| ~ in(sK9(X1),sK2)
| ~ in(sK8(X1),sF22)
| in(X1,sF27) ),
inference(superposition,[],[f470,f108]) ).
fof(f582,plain,
! [X24] :
( in(sK7(sF30,X24,X24),sF29)
| in(sK7(sF30,X24,X24),sF28)
| set_union2(sF30,X24) = X24 ),
inference(resolution,[],[f561,f318]) ).
fof(f318,plain,
! [X10] :
( ~ in(X10,sF30)
| in(X10,sF28)
| in(X10,sF29) ),
inference(superposition,[],[f80,f109]) ).
fof(f51088,plain,
( sF27 = set_union2(sF30,sF27)
| ~ in(sK7(sF30,sF27,sF27),sF27) ),
inference(duplicate_literal_removal,[],[f51074]) ).
fof(f51074,plain,
( sF27 = set_union2(sF30,sF27)
| ~ in(sK7(sF30,sF27,sF27),sF27)
| sF27 = set_union2(sF30,sF27) ),
inference(resolution,[],[f42886,f70]) ).
fof(f140655,plain,
sF30 = set_union2(sF27,sF30),
inference(resolution,[],[f140654,f135696]) ).
fof(f140654,plain,
in(sK7(sF27,sF30,sF30),sF30),
inference(subsumption_resolution,[],[f140652,f136]) ).
fof(f136,plain,
! [X10] :
( ~ in(X10,sF28)
| in(X10,sF30) ),
inference(superposition,[],[f79,f109]) ).
fof(f140652,plain,
( in(sK7(sF27,sF30,sF30),sF28)
| in(sK7(sF27,sF30,sF30),sF30) ),
inference(resolution,[],[f139644,f129]) ).
fof(f129,plain,
! [X10] :
( ~ in(X10,sF29)
| in(X10,sF30) ),
inference(superposition,[],[f78,f109]) ).
fof(f139644,plain,
( in(sK7(sF27,sF30,sF30),sF29)
| in(sK7(sF27,sF30,sF30),sF28) ),
inference(subsumption_resolution,[],[f94882,f139633]) ).
fof(f94882,plain,
( sF27 = sF30
| in(sK7(sF27,sF30,sF30),sF29)
| in(sK7(sF27,sF30,sF30),sF28) ),
inference(resolution,[],[f94836,f32169]) ).
fof(f32169,plain,
! [X0] :
( ~ in(X0,sF27)
| in(X0,sF29)
| in(X0,sF28) ),
inference(duplicate_literal_removal,[],[f32165]) ).
fof(f32165,plain,
! [X0] :
( in(X0,sF29)
| ~ in(X0,sF27)
| ~ in(X0,sF27)
| in(X0,sF28) ),
inference(resolution,[],[f32164,f31942]) ).
fof(f31942,plain,
! [X5] :
( ~ in(sK8(X5),sK0)
| ~ in(X5,sF27)
| in(X5,sF28) ),
inference(subsumption_resolution,[],[f31940,f1197]) ).
fof(f1197,plain,
! [X5] :
( in(sK9(X5),sK2)
| ~ in(X5,sF27) ),
inference(duplicate_literal_removal,[],[f1196]) ).
fof(f1196,plain,
! [X5] :
( ~ in(X5,sF27)
| in(sK9(X5),sK2)
| ~ in(X5,sF27) ),
inference(superposition,[],[f342,f106]) ).
fof(f342,plain,
! [X80,X78,X79] :
( ~ in(X78,cartesian_product2(X79,X80))
| in(sK9(X78),sK2)
| ~ in(X78,sF27) ),
inference(superposition,[],[f261,f71]) ).
fof(f261,plain,
! [X10,X11] :
( ~ in(ordered_pair(X10,X11),sF27)
| in(X11,sK2) ),
inference(superposition,[],[f74,f106]) ).
fof(f31940,plain,
! [X5] :
( ~ in(X5,sF27)
| ~ in(sK9(X5),sK2)
| ~ in(sK8(X5),sK0)
| in(X5,sF28) ),
inference(superposition,[],[f437,f106]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sK2)
| ~ in(sK8(X0),sK0)
| in(X0,sF28) ),
inference(superposition,[],[f368,f71]) ).
fof(f368,plain,
! [X0,X1] :
( in(ordered_pair(X0,X1),sF28)
| ~ in(X1,sK2)
| ~ in(X0,sK0) ),
inference(superposition,[],[f75,f107]) ).
fof(f32164,plain,
! [X0] :
( in(sK8(X0),sK0)
| in(X0,sF29)
| ~ in(X0,sF27) ),
inference(duplicate_literal_removal,[],[f32162]) ).
fof(f32162,plain,
! [X0] :
( ~ in(X0,sF27)
| in(X0,sF29)
| in(sK8(X0),sK0)
| ~ in(X0,sF27) ),
inference(resolution,[],[f32159,f1078]) ).
fof(f1078,plain,
! [X0] :
( in(sK8(X0),sK1)
| in(sK8(X0),sK0)
| ~ in(X0,sF27) ),
inference(resolution,[],[f1077,f316]) ).
fof(f1077,plain,
! [X5] :
( in(sK8(X5),sF22)
| ~ in(X5,sF27) ),
inference(duplicate_literal_removal,[],[f1076]) ).
fof(f1076,plain,
! [X5] :
( ~ in(X5,sF27)
| in(sK8(X5),sF22)
| ~ in(X5,sF27) ),
inference(superposition,[],[f336,f106]) ).
fof(f336,plain,
! [X62,X60,X61] :
( ~ in(X60,cartesian_product2(X61,X62))
| in(sK8(X60),sF22)
| ~ in(X60,sF27) ),
inference(superposition,[],[f255,f71]) ).
fof(f255,plain,
! [X10,X11] :
( ~ in(ordered_pair(X10,X11),sF27)
| in(X10,sF22) ),
inference(superposition,[],[f73,f106]) ).
fof(f32159,plain,
! [X5] :
( ~ in(sK8(X5),sK1)
| ~ in(X5,sF27)
| in(X5,sF29) ),
inference(subsumption_resolution,[],[f32157,f1197]) ).
fof(f32157,plain,
! [X5] :
( ~ in(X5,sF27)
| ~ in(sK9(X5),sK2)
| ~ in(sK8(X5),sK1)
| in(X5,sF29) ),
inference(superposition,[],[f444,f106]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ~ in(sK9(X0),sK2)
| ~ in(sK8(X0),sK1)
| in(X0,sF29) ),
inference(superposition,[],[f369,f71]) ).
fof(f369,plain,
! [X2,X3] :
( in(ordered_pair(X2,X3),sF29)
| ~ in(X3,sK2)
| ~ in(X2,sK1) ),
inference(superposition,[],[f75,f108]) ).
fof(f94836,plain,
( in(sK7(sF27,sF30,sF30),sF27)
| sF27 = sF30 ),
inference(superposition,[],[f71494,f51092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET967+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n007.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 Aug 26 11:09:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.rnbEtgRaBQ/Vampire---4.8_6598
% 0.12/0.34 % (6778)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (6784)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.17/0.39 % (6782)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.17/0.39 % (6781)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.17/0.39 % (6780)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.17/0.39 % (6779)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.17/0.39 % (6783)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.17/0.40 % (6782)Refutation not found, incomplete strategy% (6782)------------------------------
% 0.17/0.40 % (6782)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (6782)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (6782)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40 % (6782)Memory used [KB]: 9978
% 0.17/0.40 % (6782)Time elapsed: 0.006 s
% 0.17/0.40 % (6782)------------------------------
% 0.17/0.40 % (6782)------------------------------
% 0.17/0.40 % (6785)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.17/0.45 % (6781)Refutation not found, incomplete strategy% (6781)------------------------------
% 0.17/0.45 % (6781)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.45 % (6781)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.45 % (6781)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45
% 0.17/0.45 % (6781)Memory used [KB]: 1023
% 0.17/0.45 % (6781)Time elapsed: 0.060 s
% 0.17/0.45 % (6781)------------------------------
% 0.17/0.45 % (6781)------------------------------
% 0.17/0.46 % (6786)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.17/0.46 % (6786)Refutation not found, incomplete strategy% (6786)------------------------------
% 0.17/0.46 % (6786)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.46 % (6786)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.46 % (6786)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.46
% 0.17/0.46 % (6786)Memory used [KB]: 1023
% 0.17/0.46 % (6786)Time elapsed: 0.004 s
% 0.17/0.46 % (6786)------------------------------
% 0.17/0.46 % (6786)------------------------------
% 0.17/0.51 % (6787)lrs-1010_3_aac=none:anc=none:er=known:fsd=off:fde=unused:gs=on:lcm=predicate:sos=on:sp=weighted_frequency:tgt=ground:stl=62_365 on Vampire---4 for (365ds/0Mi)
% 0.17/0.51 % (6787)Refutation not found, incomplete strategy% (6787)------------------------------
% 0.17/0.51 % (6787)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.51 % (6787)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.51 % (6787)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51 % (6787)Memory used [KB]: 9978
% 0.17/0.51 % (6787)Time elapsed: 0.004 s
% 0.17/0.51 % (6787)------------------------------
% 0.17/0.51 % (6787)------------------------------
% 0.17/0.52 % (6788)ott+10_128_aac=none:add=large:afr=on:anc=all_dependent:bsr=on:bce=on:fsd=off:irw=on:nm=2:nwc=1.5:sp=scramble:tgt=full_251 on Vampire---4 for (251ds/0Mi)
% 0.17/0.58 % (6789)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_224 on Vampire---4 for (224ds/0Mi)
% 54.48/8.22 % (6783)First to succeed.
% 54.48/8.23 % (6783)Refutation found. Thanks to Tanya!
% 54.48/8.23 % SZS status Theorem for Vampire---4
% 54.48/8.23 % SZS output start Proof for Vampire---4
% See solution above
% 54.48/8.23 % (6783)------------------------------
% 54.48/8.23 % (6783)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 54.48/8.23 % (6783)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 54.48/8.23 % (6783)Termination reason: Refutation
% 54.48/8.23
% 54.48/8.23 % (6783)Memory used [KB]: 38506
% 54.48/8.23 % (6783)Time elapsed: 7.832 s
% 54.48/8.23 % (6783)------------------------------
% 54.48/8.23 % (6783)------------------------------
% 54.48/8.23 % (6778)Success in time 7.879 s
% 54.48/8.23 % Vampire---4.8 exiting
%------------------------------------------------------------------------------