TSTP Solution File: SEU202+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU202+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 03:04:58 EDT 2024
% Result : Theorem 7.92s 1.63s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 132 ( 20 unt; 0 def)
% Number of atoms : 571 ( 69 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 769 ( 330 ~; 364 |; 56 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 362 ( 21 sgn 194 !; 22 ?)
% 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(X2)
=> ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f5,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f7,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(f12,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f13,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(negated_conjecture,[],[f25]) ).
fof(f34,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
? [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) != relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
& relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relation_dom_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relation_dom_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relation_dom_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ( in(ordered_pair(X5,X6),X0)
& in(X5,X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
& in(sK0(X0,X1,X2),X1) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relation_dom_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
& in(sK0(X0,X1,X2),X1) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ( in(ordered_pair(X5,X6),X0)
& in(X5,X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f48,f49]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
& in(sK3(X0,X1,X2),X0) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
& in(sK3(X0,X1,X2),X0) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f53,f54]) ).
fof(f70,plain,
( ? [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) != relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
& relation(X2) )
=> ( relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f39,f70]) ).
fof(f74,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f76,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f78,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| in(sK0(X0,X1,X2),X1)
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f79,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f80,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f81,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f83,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f91,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f93,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f107,plain,
relation(sK13),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)),
inference(cnf_transformation,[],[f71]) ).
fof(f114,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| ~ in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f80,f91,f91]) ).
fof(f115,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X0)
| in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f79,f91,f91]) ).
fof(f116,plain,
! [X2,X0,X1] :
( relation_dom_restriction(X0,X1) = X2
| in(sK0(X0,X1,X2),X1)
| in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X2)
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f78,f91]) ).
fof(f117,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f77,f91,f91]) ).
fof(f118,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f76,f91,f91]) ).
fof(f119,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f75,f91]) ).
fof(f123,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(X6,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f83,f91,f91]) ).
fof(f124,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f82,f91,f91]) ).
fof(f125,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f81,f91]) ).
fof(f131,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(X5,X1)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f132,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f133,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f134,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(X6,X0)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f123]) ).
fof(f135,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f124]) ).
fof(f136,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f125]) ).
cnf(c_51,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f74]) ).
cnf(c_52,plain,
( ~ in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X0)
| ~ in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X2)
| ~ in(sK0(X0,X1,X2),X1)
| ~ relation(X0)
| ~ relation(X2)
| relation_dom_restriction(X0,X1) = X2 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_53,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation_dom_restriction(X0,X2) = X1
| in(unordered_pair(unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1)),singleton(sK0(X0,X2,X1))),X0)
| in(unordered_pair(unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1)),singleton(sK0(X0,X2,X1))),X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_54,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation_dom_restriction(X0,X2) = X1
| in(unordered_pair(unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1)),singleton(sK0(X0,X2,X1))),X1)
| in(sK0(X0,X2,X1),X2) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_55,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(relation_dom_restriction(X2,X3))
| ~ in(X0,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_56,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3))
| ~ relation(relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_57,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3))
| ~ relation(relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(X0,X3) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_61,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(relation_rng_restriction(X3,X2))
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X3,X2)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_62,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_63,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_68,plain,
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_69,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_83,negated_conjecture,
relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)),
inference(cnf_transformation,[],[f108]) ).
cnf(c_84,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f107]) ).
cnf(c_149,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_68]) ).
cnf(c_150,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_68]) ).
cnf(c_151,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X0,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_dom_restriction(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_68]) ).
cnf(c_158,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_69]) ).
cnf(c_159,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_69]) ).
cnf(c_160,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X3,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_69]) ).
cnf(c_315,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(demodulation,[status(thm)],[c_158,c_51]) ).
cnf(c_316,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(X0,X3) ),
inference(demodulation,[status(thm)],[c_149,c_51]) ).
cnf(c_317,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X2,X3))
| ~ relation(X3)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X3) ),
inference(demodulation,[status(thm)],[c_159,c_51]) ).
cnf(c_318,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_dom_restriction(X2,X3))
| ~ relation(X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_150,c_51]) ).
cnf(c_319,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_rng_restriction(X3,X2)) ),
inference(demodulation,[status(thm)],[c_160,c_51]) ).
cnf(c_320,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ in(X0,X3)
| ~ relation(X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_dom_restriction(X2,X3)) ),
inference(demodulation,[status(thm)],[c_151,c_51]) ).
cnf(c_322,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation_dom_restriction(X0,X2) = X1
| in(unordered_pair(singleton(sK0(X0,X2,X1)),unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1))),X1)
| in(sK0(X0,X2,X1),X2) ),
inference(demodulation,[status(thm)],[c_54,c_51]) ).
cnf(c_326,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation_dom_restriction(X0,X2) = X1
| in(unordered_pair(singleton(sK0(X0,X2,X1)),unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1))),X0)
| in(unordered_pair(singleton(sK0(X0,X2,X1)),unordered_pair(sK0(X0,X2,X1),sK1(X0,X2,X1))),X1) ),
inference(demodulation,[status(thm)],[c_53,c_51]) ).
cnf(c_328,plain,
( ~ in(unordered_pair(singleton(sK0(X0,X1,X2)),unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2))),X0)
| ~ in(unordered_pair(singleton(sK0(X0,X1,X2)),unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2))),X2)
| ~ in(sK0(X0,X1,X2),X1)
| ~ relation(X0)
| ~ relation(X2)
| relation_dom_restriction(X0,X1) = X2 ),
inference(demodulation,[status(thm)],[c_52,c_51]) ).
cnf(c_1051,plain,
( ~ relation(sK13)
| relation(relation_dom_restriction(sK13,X0)) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_1052,plain,
( ~ relation(sK13)
| relation(relation_rng_restriction(X0,sK13)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1083,plain,
( ~ relation(relation_rng_restriction(X0,sK13))
| ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),relation_rng_restriction(X0,sK13))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1) ),
inference(instantiation,[status(thm)],[c_326]) ).
cnf(c_1086,plain,
( ~ relation(relation_rng_restriction(X0,sK13))
| ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1)
| in(sK0(relation_rng_restriction(X0,sK13),X2,X1),X2) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_1124,plain,
( ~ relation(relation_dom_restriction(sK13,X0))
| relation(relation_rng_restriction(X1,relation_dom_restriction(sK13,X0))) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1227,plain,
( ~ relation(relation_rng_restriction(X0,sK13))
| ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),relation_rng_restriction(X0,sK13))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1) ),
inference(instantiation,[status(thm)],[c_326]) ).
cnf(c_1230,plain,
( ~ relation(relation_rng_restriction(X0,sK13))
| ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1)
| in(sK0(relation_rng_restriction(X0,sK13),X2,X1),X2) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_1237,plain,
( ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1)
| in(sK0(relation_rng_restriction(X0,sK13),X2,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_1230,c_84,c_1052,c_1086]) ).
cnf(c_1238,plain,
( ~ relation(X0)
| relation_dom_restriction(relation_rng_restriction(X1,sK13),X2) = X0
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X1,sK13),X2,X0)),unordered_pair(sK0(relation_rng_restriction(X1,sK13),X2,X0),sK1(relation_rng_restriction(X1,sK13),X2,X0))),X0)
| in(sK0(relation_rng_restriction(X1,sK13),X2,X0),X2) ),
inference(renaming,[status(thm)],[c_1237]) ).
cnf(c_1243,plain,
( ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X0,sK13),X2) = X1
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),relation_rng_restriction(X0,sK13))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X0,sK13),X2,X1)),unordered_pair(sK0(relation_rng_restriction(X0,sK13),X2,X1),sK1(relation_rng_restriction(X0,sK13),X2,X1))),X1) ),
inference(global_subsumption_just,[status(thm)],[c_1227,c_84,c_1052,c_1083]) ).
cnf(c_1244,plain,
( ~ relation(X0)
| relation_dom_restriction(relation_rng_restriction(X1,sK13),X2) = X0
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X1,sK13),X2,X0)),unordered_pair(sK0(relation_rng_restriction(X1,sK13),X2,X0),sK1(relation_rng_restriction(X1,sK13),X2,X0))),relation_rng_restriction(X1,sK13))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(X1,sK13),X2,X0)),unordered_pair(sK0(relation_rng_restriction(X1,sK13),X2,X0),sK1(relation_rng_restriction(X1,sK13),X2,X0))),X0) ),
inference(renaming,[status(thm)],[c_1243]) ).
cnf(c_1363,plain,
( ~ relation(relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) = relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12) ),
inference(instantiation,[status(thm)],[c_1238]) ).
cnf(c_1391,plain,
( ~ relation(relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) = relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13)) ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1496,plain,
( ~ relation(sK13)
| relation(relation_dom_restriction(sK13,X0)) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_1497,plain,
( ~ relation(sK13)
| relation(relation_rng_restriction(X0,sK13)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1498,plain,
relation(relation_rng_restriction(X0,sK13)),
inference(global_subsumption_just,[status(thm)],[c_1497,c_84,c_1052]) ).
cnf(c_1500,plain,
relation(relation_dom_restriction(sK13,X0)),
inference(global_subsumption_just,[status(thm)],[c_1496,c_84,c_1051]) ).
cnf(c_1541,plain,
( ~ relation(relation_dom_restriction(sK13,X0))
| relation(relation_rng_restriction(X1,relation_dom_restriction(sK13,X0))) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1542,plain,
relation(relation_rng_restriction(X1,relation_dom_restriction(sK13,X0))),
inference(global_subsumption_just,[status(thm)],[c_1541,c_84,c_1051,c_1124]) ).
cnf(c_1543,plain,
relation(relation_rng_restriction(X0,relation_dom_restriction(sK13,X1))),
inference(renaming,[status(thm)],[c_1542]) ).
cnf(c_1733,plain,
relation(relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),
inference(instantiation,[status(thm)],[c_1543]) ).
cnf(c_1794,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ relation(relation_dom_restriction(sK13,sK12))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_dom_restriction(sK13,sK12)) ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_1795,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ relation(relation_dom_restriction(sK13,sK12))
| in(sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK11) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_1948,plain,
relation(relation_dom_restriction(sK13,sK12)),
inference(instantiation,[status(thm)],[c_1500]) ).
cnf(c_2515,plain,
relation(relation_rng_restriction(sK11,sK13)),
inference(instantiation,[status(thm)],[c_1498]) ).
cnf(c_2557,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12)
| ~ relation(relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ relation(relation_rng_restriction(sK11,sK13))
| relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) = relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_2558,plain,
( ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12)
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))) ),
inference(global_subsumption_just,[status(thm)],[c_2557,c_83,c_1733,c_2515,c_2557]) ).
cnf(c_2559,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12) ),
inference(renaming,[status(thm)],[c_2558]) ).
cnf(c_2560,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),X1)
| ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12)
| ~ relation(X1)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),relation_dom_restriction(X1,sK12)) ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_2574,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ relation(sK13)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13) ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_2575,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ relation(sK13)
| in(sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK11) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_2576,plain,
in(sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK11),
inference(global_subsumption_just,[status(thm)],[c_2575,c_84,c_83,c_1391,c_1733,c_1795,c_1948,c_2575]) ).
cnf(c_2578,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13) ),
inference(global_subsumption_just,[status(thm)],[c_2574,c_84,c_2574]) ).
cnf(c_2600,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_dom_restriction(sK13,sK12))
| ~ relation(sK13)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13) ),
inference(instantiation,[status(thm)],[c_318]) ).
cnf(c_2601,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_dom_restriction(sK13,sK12))
| ~ relation(sK13)
| in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12) ),
inference(instantiation,[status(thm)],[c_316]) ).
cnf(c_2602,plain,
in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12),
inference(global_subsumption_just,[status(thm)],[c_2601,c_84,c_83,c_1363,c_1733,c_1794,c_1948,c_2601]) ).
cnf(c_2604,plain,
in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13),
inference(global_subsumption_just,[status(thm)],[c_2600,c_84,c_83,c_1391,c_1733,c_1794,c_1948,c_2578,c_2600]) ).
cnf(c_2617,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),X1)
| ~ in(sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK11)
| ~ relation(X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,X1)) ),
inference(instantiation,[status(thm)],[c_319]) ).
cnf(c_4628,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13))
| ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12)
| ~ relation(relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ relation(relation_rng_restriction(sK11,sK13))
| relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) = relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_4629,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))
| ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_4628,c_84,c_83,c_1363,c_1733,c_1794,c_1948,c_2559,c_2601]) ).
cnf(c_4631,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),X1)
| ~ in(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK12)
| ~ relation(X1)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),relation_dom_restriction(X1,sK12)) ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_4632,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),X1)
| ~ relation(X1)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),X0)),relation_dom_restriction(X1,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_4631,c_2560,c_2602]) ).
cnf(c_4805,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),X1)
| ~ in(sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK11)
| ~ relation(X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,X1)) ),
inference(instantiation,[status(thm)],[c_319]) ).
cnf(c_4809,plain,
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),X1)
| ~ relation(X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_4805,c_2576,c_2617]) ).
cnf(c_4811,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13)
| ~ relation(sK13)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_dom_restriction(sK13,sK12)) ),
inference(instantiation,[status(thm)],[c_4632]) ).
cnf(c_5229,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),sK13)
| ~ relation(sK13)
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,sK13)) ),
inference(instantiation,[status(thm)],[c_4809]) ).
cnf(c_5235,plain,
( ~ in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_dom_restriction(sK13,sK12))
| ~ relation(relation_dom_restriction(sK13,sK12))
| in(unordered_pair(singleton(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)))),unordered_pair(sK0(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))),sK1(relation_rng_restriction(sK11,sK13),sK12,relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))))),relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))) ),
inference(instantiation,[status(thm)],[c_4809]) ).
cnf(c_5236,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5235,c_5229,c_4811,c_4629,c_2604,c_1948,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 18:03:16 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.92/1.63 % SZS status Started for theBenchmark.p
% 7.92/1.63 % SZS status Theorem for theBenchmark.p
% 7.92/1.63
% 7.92/1.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.92/1.63
% 7.92/1.63 ------ iProver source info
% 7.92/1.63
% 7.92/1.63 git: date: 2024-05-02 19:28:25 +0000
% 7.92/1.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.92/1.63 git: non_committed_changes: false
% 7.92/1.63
% 7.92/1.63 ------ Parsing...
% 7.92/1.63 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.92/1.63
% 7.92/1.63 ------ Preprocessing... sup_sim: 14 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
% 7.92/1.63
% 7.92/1.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.92/1.63
% 7.92/1.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.92/1.63 ------ Proving...
% 7.92/1.63 ------ Problem Properties
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63 clauses 35
% 7.92/1.63 conjectures 2
% 7.92/1.63 EPR 14
% 7.92/1.63 Horn 29
% 7.92/1.63 unary 13
% 7.92/1.63 binary 7
% 7.92/1.63 lits 92
% 7.92/1.63 lits eq 12
% 7.92/1.63 fd_pure 0
% 7.92/1.63 fd_pseudo 0
% 7.92/1.63 fd_cond 1
% 7.92/1.63 fd_pseudo_cond 9
% 7.92/1.63 AC symbols 0
% 7.92/1.63
% 7.92/1.63 ------ Input Options Time Limit: Unbounded
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63 ------
% 7.92/1.63 Current options:
% 7.92/1.63 ------
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63 ------ Proving...
% 7.92/1.63
% 7.92/1.63
% 7.92/1.63 % SZS status Theorem for theBenchmark.p
% 7.92/1.63
% 7.92/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.92/1.64
% 7.92/1.64
%------------------------------------------------------------------------------