TSTP Solution File: SEU136+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 31 18:32:04 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 17 unt; 0 def)
% Number of atoms : 297 ( 44 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 365 ( 143 ~; 141 |; 64 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 147 ( 130 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(subsumption_resolution,[],[f230,f224]) ).
fof(f224,plain,
in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),sK4),
inference(resolution,[],[f218,f103]) ).
fof(f103,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X1,X0))
| in(X4,X1) ),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_difference(X1,X0) != X2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X0) = X2
| ( ( ~ in(sK3(X0,X1,X2),X2)
| ~ in(sK3(X0,X1,X2),X1)
| in(sK3(X0,X1,X2),X0) )
& ( in(sK3(X0,X1,X2),X2)
| ( in(sK3(X0,X1,X2),X1)
& ~ in(sK3(X0,X1,X2),X0) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X1)
& ~ in(X4,X0) )
| ~ in(X4,X2) )
& ( in(X4,X2)
| ~ in(X4,X1)
| in(X4,X0) ) )
| set_difference(X1,X0) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& ~ in(X3,X0) ) ) )
=> ( ( ~ in(sK3(X0,X1,X2),X2)
| ~ in(sK3(X0,X1,X2),X1)
| in(sK3(X0,X1,X2),X0) )
& ( in(sK3(X0,X1,X2),X2)
| ( in(sK3(X0,X1,X2),X1)
& ~ in(sK3(X0,X1,X2),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& ~ in(X3,X0) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X1)
& ~ in(X4,X0) )
| ~ in(X4,X2) )
& ( in(X4,X2)
| ~ in(X4,X1)
| in(X4,X0) ) )
| set_difference(X1,X0) != X2 ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X2,X1] :
( ( set_difference(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) )
& ( in(X3,X1)
| ( in(X3,X2)
& ~ in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ) )
| set_difference(X2,X0) != X1 ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X2,X1] :
( ( set_difference(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) )
& ( in(X3,X1)
| ( in(X3,X2)
& ~ in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& ~ in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ) )
| set_difference(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( set_difference(X2,X0) = X1
<=> ! [X3] :
( ( in(X3,X2)
& ~ in(X3,X0) )
<=> in(X3,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( ( ~ in(X3,X1)
& in(X3,X0) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f218,plain,
in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)),
inference(subsumption_resolution,[],[f217,f198]) ).
fof(f198,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4)
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(subsumption_resolution,[],[f190,f168]) ).
fof(f168,plain,
( ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5)
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f166,f104]) ).
fof(f104,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X1,X0))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X0)
| ~ in(X4,X2)
| set_difference(X1,X0) != X2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f166,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(set_union2(sK5,sK4),sK5))
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f162,f73]) ).
fof(f73,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( in(sK1(X0,X1),X0)
& ~ in(sK1(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) )
=> ( in(sK1(X0,X1),X0)
& ~ in(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f162,plain,
( ~ subset(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5))
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(resolution,[],[f157,f73]) ).
fof(f157,plain,
( ~ subset(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5))
| ~ subset(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(extensionality_resolution,[],[f69,f116]) ).
fof(f116,plain,
set_difference(set_union2(sK5,sK4),sK5) != set_difference(sK4,sK5),
inference(backward_demodulation,[],[f92,f76]) ).
fof(f76,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f92,plain,
set_difference(set_union2(sK4,sK5),sK5) != set_difference(sK4,sK5),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
set_difference(set_union2(sK4,sK5),sK5) != set_difference(sK4,sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1] : set_difference(X0,X1) != set_difference(set_union2(X0,X1),X1)
=> set_difference(set_union2(sK4,sK5),sK5) != set_difference(sK4,sK5) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1] : set_difference(X0,X1) != set_difference(set_union2(X0,X1),X1),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X0] : set_difference(set_union2(X1,X0),X0) != set_difference(X1,X0),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X1,X0] : set_difference(set_union2(X1,X0),X0) = set_difference(X1,X0),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X1,X0] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X1,X0] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f69,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f190,plain,
( in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5))
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5)
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4) ),
inference(resolution,[],[f100,f169]) ).
fof(f169,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_union2(sK5,sK4))
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f166,f103]) ).
fof(f100,plain,
! [X2,X0,X4] :
( ~ in(X4,set_union2(X0,X2))
| in(X4,X0)
| in(X4,X2) ),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1)
| set_union2(X0,X2) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X2) = X1
| ( ( ~ in(sK2(X0,X1,X2),X1)
| ( ~ in(sK2(X0,X1,X2),X2)
& ~ in(sK2(X0,X1,X2),X0) ) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) ) )
| set_union2(X0,X2) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X2)
| in(X3,X0) ) )
=> ( ( ~ in(sK2(X0,X1,X2),X1)
| ( ~ in(sK2(X0,X1,X2),X2)
& ~ in(sK2(X0,X1,X2),X0) ) )
& ( in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X2)
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) ) )
| set_union2(X0,X2) != X1 ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X2,X0] :
( ( set_union2(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) ) )
| set_union2(X1,X0) != X2 ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X2,X0] :
( ( set_union2(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X2)
| in(X3,X0)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) ) )
| set_union2(X1,X0) != X2 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( set_union2(X1,X0) = X2
<=> ! [X3] :
( ( in(X3,X0)
| in(X3,X1) )
<=> in(X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X0)
| in(X3,X1) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f217,plain,
( in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5))
| ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4) ),
inference(subsumption_resolution,[],[f210,f168]) ).
fof(f210,plain,
( ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4)
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5)
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f105,f164]) ).
fof(f164,plain,
( ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(sK4,sK5))
| in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f163,f73]) ).
fof(f163,plain,
( ~ subset(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5))
| ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(sK4,sK5)) ),
inference(resolution,[],[f157,f72]) ).
fof(f72,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f105,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X1,X0))
| in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| in(X4,X0)
| set_difference(X1,X0) != X2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f230,plain,
~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),sK4),
inference(resolution,[],[f227,f101]) ).
fof(f101,plain,
! [X2,X0,X4] :
( in(X4,set_union2(X0,X2))
| ~ in(X4,X2) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X2) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f227,plain,
~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_union2(sK5,sK4)),
inference(subsumption_resolution,[],[f226,f223]) ).
fof(f223,plain,
~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),sK5),
inference(resolution,[],[f218,f104]) ).
fof(f226,plain,
( in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),sK5)
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_union2(sK5,sK4)) ),
inference(resolution,[],[f220,f105]) ).
fof(f220,plain,
~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)),
inference(subsumption_resolution,[],[f219,f197]) ).
fof(f197,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4)
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(subsumption_resolution,[],[f189,f171]) ).
fof(f171,plain,
( ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5)
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(resolution,[],[f167,f104]) ).
fof(f167,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(set_union2(sK5,sK4),sK5))
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(resolution,[],[f162,f72]) ).
fof(f189,plain,
( ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5))
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4)
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5) ),
inference(resolution,[],[f100,f172]) ).
fof(f172,plain,
( in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_union2(sK5,sK4))
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(resolution,[],[f167,f103]) ).
fof(f219,plain,
( ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5))
| ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4) ),
inference(subsumption_resolution,[],[f209,f171]) ).
fof(f209,plain,
( ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5))
| in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK5)
| ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),sK4) ),
inference(resolution,[],[f105,f165]) ).
fof(f165,plain,
( ~ in(sK1(set_difference(set_union2(sK5,sK4),sK5),set_difference(sK4,sK5)),set_difference(sK4,sK5))
| ~ in(sK1(set_difference(sK4,sK5),set_difference(set_union2(sK5,sK4),sK5)),set_difference(set_union2(sK5,sK4),sK5)) ),
inference(resolution,[],[f163,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 14:44:50 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (4891)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 TRYING [1]
% 0.15/0.47 % (4907)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.47 TRYING [2]
% 0.15/0.47 TRYING [3]
% 0.15/0.48 TRYING [4]
% 0.15/0.49 % (4907)First to succeed.
% 0.15/0.49 % (4899)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.49 % (4901)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50 % (4908)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.50 % (4909)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.50 % (4900)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.51 % (4907)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (4907)------------------------------
% 0.15/0.51 % (4907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (4907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (4907)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (4907)Memory used [KB]: 1023
% 0.15/0.51 % (4907)Time elapsed: 0.122 s
% 0.15/0.51 % (4907)Instructions burned: 12 (million)
% 0.15/0.51 % (4907)------------------------------
% 0.15/0.51 % (4907)------------------------------
% 0.15/0.51 % (4884)Success in time 0.198 s
%------------------------------------------------------------------------------