TSTP Solution File: SEU208+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 17:04:42 EDT 2023
% Result : Theorem 17.63s 3.20s
% Output : CNFRefutation 17.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 10 unt; 0 def)
% Number of atoms : 317 ( 18 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 397 ( 152 ~; 153 |; 71 &)
% ( 8 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 189 ( 0 sgn; 126 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f24,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f131,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f132,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) ) ),
inference(negated_conjecture,[],[f131]) ).
fof(f139,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f187,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f225,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f231,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f305,plain,
? [X0,X1,X2] :
( ( in(X0,relation_inverse_image(X2,X1))
<~> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f311,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f139]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f311]) ).
fof(f399,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f400,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f399]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X4),X0) )
| ~ in(sK9(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK9(X0,X1,X2),X5),X0) )
| in(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f402,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK9(X0,X1,X2),X5),X0) )
=> ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f403,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
=> ( in(sK11(X0,X1,X6),X1)
& in(ordered_pair(X6,sK11(X0,X1,X6)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f404,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X4),X0) )
| ~ in(sK9(X0,X1,X2),X2) )
& ( ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X0) )
| in(sK9(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ( in(sK11(X0,X1,X6),X1)
& in(ordered_pair(X6,sK11(X0,X1,X6)),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f400,f403,f402,f401]) ).
fof(f453,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f231]) ).
fof(f454,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f453]) ).
fof(f455,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK32(X0,X1),X1)
& in(sK32(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f456,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK32(X0,X1),X1)
& in(sK32(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f454,f455]) ).
fof(f534,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f305]) ).
fof(f535,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2)) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f534]) ).
fof(f536,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X0,X4),X2)
& in(X4,relation_rng(X2)) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f535]) ).
fof(f537,plain,
( ? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,relation_rng(X2)) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X0,X4),X2)
& in(X4,relation_rng(X2)) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) )
=> ( ( ! [X3] :
( ~ in(X3,sK62)
| ~ in(ordered_pair(sK61,X3),sK63)
| ~ in(X3,relation_rng(sK63)) )
| ~ in(sK61,relation_inverse_image(sK63,sK62)) )
& ( ? [X4] :
( in(X4,sK62)
& in(ordered_pair(sK61,X4),sK63)
& in(X4,relation_rng(sK63)) )
| in(sK61,relation_inverse_image(sK63,sK62)) )
& relation(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f538,plain,
( ? [X4] :
( in(X4,sK62)
& in(ordered_pair(sK61,X4),sK63)
& in(X4,relation_rng(sK63)) )
=> ( in(sK64,sK62)
& in(ordered_pair(sK61,sK64),sK63)
& in(sK64,relation_rng(sK63)) ) ),
introduced(choice_axiom,[]) ).
fof(f539,plain,
( ( ! [X3] :
( ~ in(X3,sK62)
| ~ in(ordered_pair(sK61,X3),sK63)
| ~ in(X3,relation_rng(sK63)) )
| ~ in(sK61,relation_inverse_image(sK63,sK62)) )
& ( ( in(sK64,sK62)
& in(ordered_pair(sK61,sK64),sK63)
& in(sK64,relation_rng(sK63)) )
| in(sK61,relation_inverse_image(sK63,sK62)) )
& relation(sK63) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62,sK63,sK64])],[f536,f538,f537]) ).
fof(f601,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(X6,sK11(X0,X1,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f404]) ).
fof(f602,plain,
! [X2,X0,X1,X6] :
( in(sK11(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f404]) ).
fof(f603,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f404]) ).
fof(f659,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
fof(f690,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f811,plain,
relation(sK63),
inference(cnf_transformation,[],[f539]) ).
fof(f813,plain,
( in(ordered_pair(sK61,sK64),sK63)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(cnf_transformation,[],[f539]) ).
fof(f814,plain,
( in(sK64,sK62)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(cnf_transformation,[],[f539]) ).
fof(f815,plain,
! [X3] :
( ~ in(X3,sK62)
| ~ in(ordered_pair(sK61,X3),sK63)
| ~ in(X3,relation_rng(sK63))
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(cnf_transformation,[],[f539]) ).
fof(f823,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f312]) ).
fof(f891,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f187]) ).
fof(f920,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f690,f891]) ).
fof(f946,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f603,f920]) ).
fof(f947,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK11(X0,X1,X6)),unordered_pair(X6,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f601,f920]) ).
fof(f1015,plain,
! [X3] :
( ~ in(X3,sK62)
| ~ in(unordered_pair(unordered_pair(sK61,X3),unordered_pair(sK61,sK61)),sK63)
| ~ in(X3,relation_rng(sK63))
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(definition_unfolding,[],[f815,f920]) ).
fof(f1016,plain,
( in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(definition_unfolding,[],[f813,f920]) ).
fof(f1020,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f823,f920]) ).
fof(f1062,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f946]) ).
fof(f1063,plain,
! [X0,X1,X6] :
( in(sK11(X0,X1,X6),X1)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f602]) ).
fof(f1064,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK11(X0,X1,X6)),unordered_pair(X6,X6)),X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f947]) ).
cnf(c_85,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(X0,relation_inverse_image(X2,X3)) ),
inference(cnf_transformation,[],[f1062]) ).
cnf(c_86,plain,
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(sK11(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f1063]) ).
cnf(c_87,plain,
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,sK11(X1,X2,X0)),unordered_pair(X0,X0)),X1) ),
inference(cnf_transformation,[],[f1064]) ).
cnf(c_142,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f659]) ).
cnf(c_291,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(sK61,X0),unordered_pair(sK61,sK61)),sK63)
| ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(X0,relation_rng(sK63))
| ~ in(X0,sK62) ),
inference(cnf_transformation,[],[f1015]) ).
cnf(c_292,negated_conjecture,
( in(sK61,relation_inverse_image(sK63,sK62))
| in(sK64,sK62) ),
inference(cnf_transformation,[],[f814]) ).
cnf(c_293,negated_conjecture,
( in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(cnf_transformation,[],[f1016]) ).
cnf(c_295,negated_conjecture,
relation(sK63),
inference(cnf_transformation,[],[f811]) ).
cnf(c_302,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f1020]) ).
cnf(c_1905,plain,
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ relation(sK63)
| in(sK11(sK63,sK62,sK61),sK62) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_2422,plain,
( ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63)
| ~ subset(sK63,X0)
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_2441,plain,
( ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63)
| ~ in(sK64,X0)
| ~ relation(sK63)
| in(sK61,relation_inverse_image(sK63,X0)) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_3713,plain,
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ relation(sK63)
| in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_3849,plain,
( ~ in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63)
| ~ in(sK11(sK63,sK62,sK61),relation_rng(sK63))
| ~ in(sK11(sK63,sK62,sK61),sK62)
| ~ in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_10629,plain,
( ~ in(unordered_pair(unordered_pair(sK61,sK11(sK63,sK62,sK61)),unordered_pair(sK61,sK61)),sK63)
| ~ relation(sK63)
| in(sK11(sK63,sK62,sK61),relation_rng(sK63)) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_11371,plain,
( ~ subset(relation_inverse_image(sK63,sK62),X0)
| in(sK61,X0)
| in(sK64,sK62) ),
inference(superposition,[status(thm)],[c_292,c_142]) ).
cnf(c_11372,plain,
( ~ subset(sK63,X0)
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(superposition,[status(thm)],[c_293,c_142]) ).
cnf(c_11799,plain,
in(sK64,sK62),
inference(global_subsumption_just,[status(thm)],[c_11371,c_295,c_292,c_1905,c_3713,c_3849,c_10629]) ).
cnf(c_12605,plain,
( in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0)
| ~ subset(sK63,X0) ),
inference(global_subsumption_just,[status(thm)],[c_11372,c_295,c_293,c_1905,c_2422,c_3713,c_3849,c_10629]) ).
cnf(c_12606,plain,
( ~ subset(sK63,X0)
| in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),X0) ),
inference(renaming,[status(thm)],[c_12605]) ).
cnf(c_12628,plain,
( ~ in(sK61,relation_inverse_image(sK63,sK62))
| ~ in(sK64,relation_rng(sK63))
| ~ in(sK64,sK62)
| ~ subset(sK63,sK63) ),
inference(superposition,[status(thm)],[c_12606,c_291]) ).
cnf(c_13917,plain,
~ in(sK61,relation_inverse_image(sK63,sK62)),
inference(global_subsumption_just,[status(thm)],[c_12628,c_295,c_1905,c_3713,c_3849,c_10629]) ).
cnf(c_17634,plain,
( ~ in(unordered_pair(unordered_pair(sK61,sK64),unordered_pair(sK61,sK61)),sK63)
| ~ in(sK64,sK62)
| ~ relation(sK63)
| in(sK61,relation_inverse_image(sK63,sK62)) ),
inference(instantiation,[status(thm)],[c_2441]) ).
cnf(c_17635,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17634,c_13917,c_11799,c_293,c_295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 14:45:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.63/3.20 % SZS status Started for theBenchmark.p
% 17.63/3.20 % SZS status Theorem for theBenchmark.p
% 17.63/3.20
% 17.63/3.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.63/3.20
% 17.63/3.20 ------ iProver source info
% 17.63/3.20
% 17.63/3.20 git: date: 2023-05-31 18:12:56 +0000
% 17.63/3.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.63/3.20 git: non_committed_changes: false
% 17.63/3.20 git: last_make_outside_of_git: false
% 17.63/3.20
% 17.63/3.20 ------ Parsing...
% 17.63/3.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.63/3.20
% 17.63/3.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 17.63/3.20
% 17.63/3.20 ------ Preprocessing...
% 17.63/3.20
% 17.63/3.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.63/3.20 ------ Proving...
% 17.63/3.20 ------ Problem Properties
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20 clauses 326
% 17.63/3.20 conjectures 25
% 17.63/3.20 EPR 32
% 17.63/3.20 Horn 260
% 17.63/3.20 unary 52
% 17.63/3.20 binary 108
% 17.63/3.20 lits 870
% 17.63/3.20 lits eq 167
% 17.63/3.20 fd_pure 0
% 17.63/3.20 fd_pseudo 0
% 17.63/3.20 fd_cond 13
% 17.63/3.20 fd_pseudo_cond 68
% 17.63/3.20 AC symbols 0
% 17.63/3.20
% 17.63/3.20 ------ Input Options Time Limit: Unbounded
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20 ------
% 17.63/3.20 Current options:
% 17.63/3.20 ------
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20 ------ Proving...
% 17.63/3.20
% 17.63/3.20
% 17.63/3.20 % SZS status Theorem for theBenchmark.p
% 17.63/3.20
% 17.63/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.63/3.20
% 17.63/3.20
%------------------------------------------------------------------------------