TSTP Solution File: SEU203+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 17:04:39 EDT 2023
% Result : Theorem 3.17s 1.16s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 9 unt; 0 def)
% Number of atoms : 334 ( 30 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 427 ( 166 ~; 167 |; 71 &)
% ( 10 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 225 ( 4 sgn; 131 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<~> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) )
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) )
=> ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(sK2(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(sK2(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f51,f50,f49]) ).
fof(f53,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,[],[f36]) ).
fof(f54,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,[],[f53]) ).
fof(f55,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(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
=> in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK5(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f54,f57,f56,f55]) ).
fof(f69,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f40]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
( ? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) )
=> ( ( ! [X3] :
( ~ in(X3,sK12)
| ~ in(ordered_pair(X3,sK11),sK13)
| ~ in(X3,relation_dom(sK13)) )
| ~ in(sK11,relation_image(sK13,sK12)) )
& ( ? [X4] :
( in(X4,sK12)
& in(ordered_pair(X4,sK11),sK13)
& in(X4,relation_dom(sK13)) )
| in(sK11,relation_image(sK13,sK12)) )
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X4] :
( in(X4,sK12)
& in(ordered_pair(X4,sK11),sK13)
& in(X4,relation_dom(sK13)) )
=> ( in(sK14,sK12)
& in(ordered_pair(sK14,sK11),sK13)
& in(sK14,relation_dom(sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ( ! [X3] :
( ~ in(X3,sK12)
| ~ in(ordered_pair(X3,sK11),sK13)
| ~ in(X3,relation_dom(sK13)) )
| ~ in(sK11,relation_image(sK13,sK12)) )
& ( ( in(sK14,sK12)
& in(ordered_pair(sK14,sK11),sK13)
& in(sK14,relation_dom(sK13)) )
| in(sK11,relation_image(sK13,sK12)) )
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f71,f73,f72]) ).
fof(f77,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f79,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f80,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f88,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f105,plain,
relation(sK13),
inference(cnf_transformation,[],[f74]) ).
fof(f107,plain,
( in(ordered_pair(sK14,sK11),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f108,plain,
( in(sK14,sK12)
| in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f109,plain,
! [X3] :
( ~ in(X3,sK12)
| ~ in(ordered_pair(X3,sK11),sK13)
| ~ in(X3,relation_dom(sK13))
| ~ in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f117,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f80,f88]) ).
fof(f118,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f78,f88]) ).
fof(f121,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,[],[f85,f88]) ).
fof(f124,plain,
! [X3] :
( ~ in(X3,sK12)
| ~ in(unordered_pair(unordered_pair(X3,sK11),singleton(X3)),sK13)
| ~ in(X3,relation_dom(sK13))
| ~ in(sK11,relation_image(sK13,sK12)) ),
inference(definition_unfolding,[],[f109,f88]) ).
fof(f125,plain,
( in(unordered_pair(unordered_pair(sK14,sK11),singleton(sK14)),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(definition_unfolding,[],[f107,f88]) ).
fof(f126,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f127,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f79]) ).
fof(f128,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f129,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f121]) ).
cnf(c_51,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f77]) ).
cnf(c_55,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X0,X3)
| ~ relation(X2)
| in(X1,relation_image(X2,X3)) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_56,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| in(sK2(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_57,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK2(X1,X2,X0),X0),singleton(sK2(X1,X2,X0))),X1) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_60,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_78,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X0,sK11),singleton(X0)),sK13)
| ~ in(sK11,relation_image(sK13,sK12))
| ~ in(X0,relation_dom(sK13))
| ~ in(X0,sK12) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_79,negated_conjecture,
( in(sK11,relation_image(sK13,sK12))
| in(sK14,sK12) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_80,negated_conjecture,
( in(unordered_pair(unordered_pair(sK14,sK11),singleton(sK14)),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_82,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f105]) ).
cnf(c_329,plain,
( in(unordered_pair(singleton(sK14),unordered_pair(sK11,sK14)),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(demodulation,[status(thm)],[c_80,c_51]) ).
cnf(c_340,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(demodulation,[status(thm)],[c_60,c_51]) ).
cnf(c_354,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ in(X0,X3)
| ~ relation(X2)
| in(X1,relation_image(X2,X3)) ),
inference(demodulation,[status(thm)],[c_55,c_51]) ).
cnf(c_371,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| in(unordered_pair(singleton(sK2(X1,X2,X0)),unordered_pair(X0,sK2(X1,X2,X0))),X1) ),
inference(demodulation,[status(thm)],[c_57,c_51]) ).
cnf(c_378,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK11)),sK13)
| ~ in(sK11,relation_image(sK13,sK12))
| ~ in(X0,relation_dom(sK13))
| ~ in(X0,sK12) ),
inference(demodulation,[status(thm)],[c_78,c_51]) ).
cnf(c_1035,plain,
( X0 != sK13
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| ~ in(X1,X3)
| in(X2,relation_image(X0,X3)) ),
inference(resolution_lifted,[status(thm)],[c_354,c_82]) ).
cnf(c_1036,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| ~ in(X0,X2)
| in(X1,relation_image(sK13,X2)) ),
inference(unflattening,[status(thm)],[c_1035]) ).
cnf(c_1046,plain,
( X0 != sK13
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| in(X1,relation_dom(X0)) ),
inference(resolution_lifted,[status(thm)],[c_340,c_82]) ).
cnf(c_1047,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| in(X0,relation_dom(sK13)) ),
inference(unflattening,[status(thm)],[c_1046]) ).
cnf(c_1184,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK11)),sK13)
| ~ in(X0,relation_dom(sK13))
| ~ in(X0,sK12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_378,c_1036]) ).
cnf(c_1188,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK11)),sK13)
| ~ in(X0,sK12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1184,c_1047]) ).
cnf(c_2690,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(sK11,X0)),sK13)
| ~ in(X0,sK12) ),
inference(superposition,[status(thm)],[c_51,c_1188]) ).
cnf(c_2774,plain,
( ~ in(sK14,sK12)
| in(sK11,relation_image(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_329,c_2690]) ).
cnf(c_2852,plain,
( ~ in(sK2(sK13,X0,sK11),sK12)
| ~ in(sK11,relation_image(sK13,X0))
| ~ relation(sK13) ),
inference(superposition,[status(thm)],[c_371,c_2690]) ).
cnf(c_2856,plain,
( ~ in(sK2(sK13,X0,sK11),sK12)
| ~ in(sK11,relation_image(sK13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2852,c_82]) ).
cnf(c_2905,plain,
in(sK11,relation_image(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_2774,c_79,c_2774]) ).
cnf(c_2913,plain,
( ~ in(sK11,relation_image(sK13,sK12))
| ~ relation(sK13) ),
inference(superposition,[status(thm)],[c_56,c_2856]) ).
cnf(c_2914,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2913,c_82,c_2905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 12:35:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.17/1.16 % SZS status Started for theBenchmark.p
% 3.17/1.16 % SZS status Theorem for theBenchmark.p
% 3.17/1.16
% 3.17/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.17/1.16
% 3.17/1.16 ------ iProver source info
% 3.17/1.16
% 3.17/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.17/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.17/1.16 git: non_committed_changes: false
% 3.17/1.16 git: last_make_outside_of_git: false
% 3.17/1.16
% 3.17/1.16 ------ Parsing...
% 3.17/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.17/1.16
% 3.17/1.16 ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.17/1.16
% 3.17/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.17/1.16
% 3.17/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.17/1.16 ------ Proving...
% 3.17/1.16 ------ Problem Properties
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16 clauses 35
% 3.17/1.16 conjectures 3
% 3.17/1.16 EPR 14
% 3.17/1.16 Horn 28
% 3.17/1.16 unary 12
% 3.17/1.16 binary 11
% 3.17/1.16 lits 77
% 3.17/1.16 lits eq 8
% 3.17/1.16 fd_pure 0
% 3.17/1.16 fd_pseudo 0
% 3.17/1.16 fd_cond 1
% 3.17/1.16 fd_pseudo_cond 6
% 3.17/1.16 AC symbols 0
% 3.17/1.16
% 3.17/1.16 ------ Schedule dynamic 5 is on
% 3.17/1.16
% 3.17/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16 ------
% 3.17/1.16 Current options:
% 3.17/1.16 ------
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16 ------ Proving...
% 3.17/1.16
% 3.17/1.16
% 3.17/1.16 % SZS status Theorem for theBenchmark.p
% 3.17/1.16
% 3.17/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.17/1.16
% 3.17/1.16
%------------------------------------------------------------------------------