TSTP Solution File: SEU213+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU213+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 03:05:01 EDT 2024
% Result : Theorem 28.04s 4.70s
% Output : CNFRefutation 28.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 122 ( 14 unt; 0 def)
% Number of atoms : 580 ( 72 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 765 ( 307 ~; 320 |; 99 &)
% ( 16 <=>; 21 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 306 ( 2 sgn 193 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> empty_set = X2 ) )
& ( in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f7,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(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f46,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( apply(X0,X1) = X2
<=> empty_set = X2 )
| in(X1,relation_dom(X0)) )
& ( ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( apply(X0,X1) = X2
<=> empty_set = X2 )
| in(X1,relation_dom(X0)) )
& ( ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f63,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<~> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f64,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<~> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f63]) ).
fof(f68,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( apply(X0,X1) = X2
| empty_set != X2 )
& ( empty_set = X2
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) )
& ( ( ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0)
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK0(X0,X1),X4),X0)
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK0(X0,X1),X4),X0)
=> in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK2(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0)
| ~ in(sK0(X0,X1),X1) )
& ( in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK2(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f72,f75,f74,f73]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK4(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK3(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,sK4(X0,X1,X2)),X1)
& in(ordered_pair(sK3(X0,X1,X2),X6),X0) )
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X6] :
( in(ordered_pair(X6,sK4(X0,X1,X2)),X1)
& in(ordered_pair(sK3(X0,X1,X2),X6),X0) )
=> ( in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X1)
& in(ordered_pair(sK3(X0,X1,X2),sK5(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1,X7,X8] :
( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
=> ( in(ordered_pair(sK6(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK6(X0,X1,X7,X8)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK4(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK3(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X1)
& in(ordered_pair(sK3(X0,X1,X2),sK5(X0,X1,X2)),X0) )
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ( in(ordered_pair(sK6(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK6(X0,X1,X7,X8)),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f78,f81,f80,f79]) ).
fof(f97,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f98,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_composition(X2,X1))) )
& function(X2)
& relation(X2) )
& function(X1)
& relation(X1) )
=> ( ? [X2] :
( ( ~ in(apply(X2,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(X2))
| ~ in(sK14,relation_dom(relation_composition(X2,sK15))) )
& ( ( in(apply(X2,sK14),relation_dom(sK15))
& in(sK14,relation_dom(X2)) )
| in(sK14,relation_dom(relation_composition(X2,sK15))) )
& function(X2)
& relation(X2) )
& function(sK15)
& relation(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X2] :
( ( ~ in(apply(X2,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(X2))
| ~ in(sK14,relation_dom(relation_composition(X2,sK15))) )
& ( ( in(apply(X2,sK14),relation_dom(sK15))
& in(sK14,relation_dom(X2)) )
| in(sK14,relation_dom(relation_composition(X2,sK15))) )
& function(X2)
& relation(X2) )
=> ( ( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(sK16))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15))) )
& ( ( in(apply(sK16,sK14),relation_dom(sK15))
& in(sK14,relation_dom(sK16)) )
| in(sK14,relation_dom(relation_composition(sK16,sK15))) )
& function(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(sK16))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15))) )
& ( ( in(apply(sK16,sK14),relation_dom(sK15))
& in(sK14,relation_dom(sK16)) )
| in(sK14,relation_dom(relation_composition(sK16,sK15))) )
& function(sK16)
& relation(sK16)
& function(sK15)
& relation(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f98,f100,f99]) ).
fof(f104,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f106,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f107,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f110,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK2(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f111,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f112,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| in(sK0(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f114,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f115,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK6(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f116,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK6(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f117,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),X2)
| ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f121,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f150,plain,
relation(sK15),
inference(cnf_transformation,[],[f101]) ).
fof(f152,plain,
relation(sK16),
inference(cnf_transformation,[],[f101]) ).
fof(f153,plain,
function(sK16),
inference(cnf_transformation,[],[f101]) ).
fof(f154,plain,
( in(sK14,relation_dom(sK16))
| in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f155,plain,
( in(apply(sK16,sK14),relation_dom(sK15))
| in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f156,plain,
( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(sK16))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f159,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f161,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f107,f114]) ).
fof(f162,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| apply(X0,X1) != X2
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f106,f114]) ).
fof(f164,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X0)
| in(sK0(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f112,f114]) ).
fof(f165,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f111,f114]) ).
fof(f166,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK2(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f110,f114]) ).
fof(f170,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f117,f114,f114,f114]) ).
fof(f171,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK6(X0,X1,X7,X8),X8),singleton(sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f116,f114,f114]) ).
fof(f172,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK6(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f115,f114,f114]) ).
fof(f176,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0)
| ~ in(X1,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f177,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f178,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK2(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f166]) ).
fof(f179,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f170]) ).
fof(f180,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK6(X0,X1,X7,X8),X8),singleton(sK6(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f171]) ).
fof(f181,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK6(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f172]) ).
cnf(c_51,plain,
( ~ empty(X0)
| relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_55,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| apply(X2,X0) = X1 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_56,plain,
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,apply(X1,X0)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_58,plain,
( ~ relation(X0)
| relation_dom(X0) = X1
| in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X0)
| in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_59,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_60,plain,
( ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,sK2(X1,X0)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_64,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4)
| ~ relation(relation_composition(X2,X4))
| ~ relation(X2)
| ~ relation(X4)
| in(unordered_pair(unordered_pair(X0,X3),singleton(X0)),relation_composition(X2,X4)) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_65,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| in(unordered_pair(unordered_pair(sK6(X2,X3,X0,X1),X1),singleton(sK6(X2,X3,X0,X1))),X3) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_66,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,sK6(X2,X3,X0,X1)),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_67,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_96,negated_conjecture,
( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15)))
| ~ in(sK14,relation_dom(sK16)) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_97,negated_conjecture,
( in(apply(sK16,sK14),relation_dom(sK15))
| in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_98,negated_conjecture,
( in(sK14,relation_dom(relation_composition(sK16,sK15)))
| in(sK14,relation_dom(sK16)) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_99,negated_conjecture,
function(sK16),
inference(cnf_transformation,[],[f153]) ).
cnf(c_100,negated_conjecture,
relation(sK16),
inference(cnf_transformation,[],[f152]) ).
cnf(c_102,negated_conjecture,
relation(sK15),
inference(cnf_transformation,[],[f150]) ).
cnf(c_105,negated_conjecture,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_140,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ function(X2)
| ~ relation(X2)
| apply(X2,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_55,c_59,c_55]) ).
cnf(c_185,plain,
X0 = X0,
theory(equality) ).
cnf(c_188,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_267,plain,
( ~ in(sK14,relation_dom(relation_composition(sK16,sK15)))
| ~ relation(relation_composition(sK16,sK15))
| in(unordered_pair(unordered_pair(sK14,sK2(relation_composition(sK16,sK15),sK14)),singleton(sK14)),relation_composition(sK16,sK15)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_276,plain,
( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(apply(sK16,sK14),sK2(sK15,apply(sK16,sK14))),singleton(apply(sK16,sK14))),sK15) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_289,plain,
( ~ in(sK14,relation_dom(sK16))
| ~ function(sK16)
| ~ relation(sK16)
| in(unordered_pair(unordered_pair(sK14,apply(sK16,sK14)),singleton(sK14)),sK16) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_481,plain,
( ~ relation(sK16)
| ~ relation(sK15)
| relation(relation_composition(sK16,sK15)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1304,plain,
( ~ in(unordered_pair(unordered_pair(sK14,sK2(relation_composition(sK16,sK15),sK14)),singleton(sK14)),relation_composition(sK16,sK15))
| ~ relation(relation_composition(sK16,sK15))
| ~ relation(sK16)
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)),sK2(relation_composition(sK16,sK15),sK14)),singleton(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)))),sK15) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_1305,plain,
( ~ in(unordered_pair(unordered_pair(sK14,sK2(relation_composition(sK16,sK15),sK14)),singleton(sK14)),relation_composition(sK16,sK15))
| ~ relation(relation_composition(sK16,sK15))
| ~ relation(sK16)
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK14,sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14))),singleton(sK14)),sK16) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_1371,plain,
( ~ empty(X0)
| ~ relation(X0)
| relation_dom(X0) = X1
| in(sK0(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_58,c_105]) ).
cnf(c_1848,plain,
( ~ empty(X0)
| ~ relation(X0)
| relation_dom(X0) = X1
| in(sK0(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_58,c_105]) ).
cnf(c_1871,plain,
( ~ empty(X0)
| relation_dom(X0) = X1
| in(sK0(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_1848,c_51,c_1371]) ).
cnf(c_1976,plain,
( ~ in(unordered_pair(unordered_pair(apply(sK16,sK14),sK2(sK15,apply(sK16,sK14))),singleton(apply(sK16,sK14))),sK15)
| ~ in(unordered_pair(unordered_pair(X0,apply(sK16,sK14)),singleton(X0)),X1)
| ~ relation(relation_composition(X1,sK15))
| ~ relation(X1)
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(X0,sK2(sK15,apply(sK16,sK14))),singleton(X0)),relation_composition(X1,sK15)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_2413,plain,
( X0 != X1
| ~ in(X1,X2)
| in(X0,X2) ),
inference(resolution,[status(thm)],[c_188,c_185]) ).
cnf(c_3485,plain,
( ~ in(unordered_pair(unordered_pair(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)),sK2(relation_composition(sK16,sK15),sK14)),singleton(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)))),sK15)
| ~ relation(sK15)
| in(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)),relation_dom(sK15)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_3536,plain,
( ~ in(unordered_pair(unordered_pair(sK14,sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14))),singleton(sK14)),sK16)
| ~ function(sK16)
| ~ relation(sK16)
| apply(sK16,sK14) = sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_3537,plain,
( ~ in(unordered_pair(unordered_pair(sK14,sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14))),singleton(sK14)),sK16)
| ~ relation(sK16)
| in(sK14,relation_dom(sK16)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_3751,negated_conjecture,
in(sK14,relation_dom(sK16)),
inference(global_subsumption_just,[status(thm)],[c_98,c_102,c_100,c_98,c_267,c_481,c_1305,c_3537]) ).
cnf(c_3757,plain,
( ~ in(sK14,relation_dom(relation_composition(sK16,sK15)))
| ~ in(apply(sK16,sK14),relation_dom(sK15)) ),
inference(global_subsumption_just,[status(thm)],[c_96,c_102,c_100,c_98,c_96,c_267,c_481,c_1305,c_3537]) ).
cnf(c_3758,negated_conjecture,
( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(renaming,[status(thm)],[c_3757]) ).
cnf(c_4523,plain,
relation_dom(sK15) = relation_dom(sK15),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_4960,plain,
( ~ in(unordered_pair(unordered_pair(apply(sK16,sK14),sK2(sK15,apply(sK16,sK14))),singleton(apply(sK16,sK14))),sK15)
| ~ in(unordered_pair(unordered_pair(sK14,apply(sK16,sK14)),singleton(sK14)),sK16)
| ~ relation(relation_composition(sK16,sK15))
| ~ relation(sK16)
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK14,sK2(sK15,apply(sK16,sK14))),singleton(sK14)),relation_composition(sK16,sK15)) ),
inference(instantiation,[status(thm)],[c_1976]) ).
cnf(c_5702,plain,
( ~ empty(X0)
| ~ relation(X0)
| relation_dom(X0) = X1
| in(sK0(X0,X1),X1) ),
inference(resolution,[status(thm)],[c_58,c_105]) ).
cnf(c_6096,plain,
( ~ empty(X0)
| relation_dom(X0) = X1
| in(sK0(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_5702,c_1871]) ).
cnf(c_6112,plain,
( ~ empty(X0)
| ~ empty(X1)
| relation_dom(X0) = X1 ),
inference(resolution,[status(thm)],[c_6096,c_105]) ).
cnf(c_12821,plain,
( ~ in(unordered_pair(unordered_pair(sK14,sK2(sK15,apply(sK16,sK14))),singleton(sK14)),relation_composition(sK16,sK15))
| ~ relation(relation_composition(sK16,sK15))
| in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_15481,plain,
( ~ in(X0,X1)
| ~ empty(X0)
| ~ empty(X2)
| in(relation_dom(X2),X1) ),
inference(resolution,[status(thm)],[c_2413,c_6112]) ).
cnf(c_17281,plain,
( ~ empty(X0)
| ~ empty(sK14)
| in(relation_dom(X0),relation_dom(relation_composition(sK16,sK15)))
| in(sK14,relation_dom(sK16)) ),
inference(resolution,[status(thm)],[c_15481,c_98]) ).
cnf(c_17471,plain,
in(sK14,relation_dom(sK16)),
inference(global_subsumption_just,[status(thm)],[c_17281,c_3751]) ).
cnf(c_17497,plain,
( ~ in(apply(sK16,sK14),relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_composition(sK16,sK15))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_96,c_17471]) ).
cnf(c_17514,plain,
~ in(apply(sK16,sK14),relation_dom(sK15)),
inference(global_subsumption_just,[status(thm)],[c_17497,c_102,c_100,c_99,c_276,c_289,c_481,c_3751,c_3758,c_4960,c_12821]) ).
cnf(c_65460,plain,
( X0 != X1
| X2 != relation_dom(X3)
| ~ in(X1,relation_dom(X3))
| in(X0,X2) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_66038,plain,
( relation_dom(X0) != relation_dom(X0)
| X1 != X2
| ~ in(X2,relation_dom(X0))
| in(X1,relation_dom(X0)) ),
inference(instantiation,[status(thm)],[c_65460]) ).
cnf(c_75598,plain,
( apply(sK16,sK14) != X0
| relation_dom(sK15) != relation_dom(sK15)
| ~ in(X0,relation_dom(sK15))
| in(apply(sK16,sK14),relation_dom(sK15)) ),
inference(instantiation,[status(thm)],[c_66038]) ).
cnf(c_76876,plain,
( apply(sK16,sK14) != sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14))
| relation_dom(sK15) != relation_dom(sK15)
| ~ in(sK6(sK16,sK15,sK14,sK2(relation_composition(sK16,sK15),sK14)),relation_dom(sK15))
| in(apply(sK16,sK14),relation_dom(sK15)) ),
inference(instantiation,[status(thm)],[c_75598]) ).
cnf(c_76877,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_76876,c_17514,c_4523,c_3536,c_3485,c_1304,c_1305,c_481,c_267,c_97,c_99,c_100,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 18:09:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.04/4.70 % SZS status Started for theBenchmark.p
% 28.04/4.70 % SZS status Theorem for theBenchmark.p
% 28.04/4.70
% 28.04/4.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.04/4.70
% 28.04/4.70 ------ iProver source info
% 28.04/4.70
% 28.04/4.70 git: date: 2024-05-02 19:28:25 +0000
% 28.04/4.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 28.04/4.70 git: non_committed_changes: false
% 28.04/4.70
% 28.04/4.70 ------ Parsing...
% 28.04/4.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.04/4.70
% 28.04/4.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.04/4.70
% 28.04/4.70 ------ Preprocessing...
% 28.04/4.70
% 28.04/4.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.04/4.70 ------ Proving...
% 28.04/4.70 ------ Problem Properties
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70 clauses 53
% 28.04/4.70 conjectures 14
% 28.04/4.70 EPR 23
% 28.04/4.70 Horn 46
% 28.04/4.70 unary 20
% 28.04/4.70 binary 10
% 28.04/4.70 lits 133
% 28.04/4.70 lits eq 10
% 28.04/4.70 fd_pure 0
% 28.04/4.70 fd_pseudo 0
% 28.04/4.70 fd_cond 1
% 28.04/4.70 fd_pseudo_cond 7
% 28.04/4.70 AC symbols 0
% 28.04/4.70
% 28.04/4.70 ------ Input Options Time Limit: Unbounded
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70 ------
% 28.04/4.70 Current options:
% 28.04/4.70 ------
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70 ------ Proving...
% 28.04/4.70
% 28.04/4.70
% 28.04/4.70 % SZS status Theorem for theBenchmark.p
% 28.04/4.70
% 28.04/4.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.04/4.70
% 28.04/4.70
%------------------------------------------------------------------------------