TSTP Solution File: SEU206+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU206+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 03:04:59 EDT 2024
% Result : Theorem 17.76s 3.20s
% Output : CNFRefutation 17.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 10 unt; 0 def)
% Number of atoms : 244 ( 40 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 305 ( 117 ~; 124 |; 43 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-3 aty)
% Number of variables : 163 ( 1 sgn 119 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,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/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f31,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(f127,conjecture,
! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f128,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(negated_conjecture,[],[f127]) ).
fof(f135,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f183,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f220,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,[],[f11]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f298,plain,
? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f305,plain,
! [X0,X1,X2] :
( ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f304]) ).
fof(f386,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,[],[f220]) ).
fof(f387,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,[],[f386]) ).
fof(f388,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,sK6(X0,X1,X2)),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK6(X0,X1,X2)),X0) )
| in(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f389,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK6(X0,X1,X2)),X0) )
=> ( in(sK7(X0,X1,X2),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK8(X0,X1,X6),X1)
& in(ordered_pair(sK8(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f391,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0) )
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK8(X0,X1,X6),X1)
& in(ordered_pair(sK8(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f387,f390,f389,f388]) ).
fof(f466,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f228]) ).
fof(f467,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f466]) ).
fof(f468,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK38(X0,X1)),X0)
| ~ in(sK38(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK38(X0,X1)),X0)
| in(sK38(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f469,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK38(X0,X1)),X0)
=> in(ordered_pair(sK39(X0,X1),sK38(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f470,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK40(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f471,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK38(X0,X1)),X0)
| ~ in(sK38(X0,X1),X1) )
& ( in(ordered_pair(sK39(X0,X1),sK38(X0,X1)),X0)
| in(sK38(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK40(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40])],[f467,f470,f469,f468]) ).
fof(f521,plain,
( ? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) )
=> ( relation_rng(sK58) != relation_image(sK58,relation_dom(sK58))
& relation(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f522,plain,
( relation_rng(sK58) != relation_image(sK58,relation_dom(sK58))
& relation(sK58) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f298,f521]) ).
fof(f581,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
| in(sK6(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f583,plain,
! [X2,X0,X1,X4] :
( relation_image(X0,X1) = X2
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0)
| ~ in(sK6(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f662,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK40(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f471]) ).
fof(f667,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f786,plain,
relation(sK58),
inference(cnf_transformation,[],[f522]) ).
fof(f787,plain,
relation_rng(sK58) != relation_image(sK58,relation_dom(sK58)),
inference(cnf_transformation,[],[f522]) ).
fof(f794,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f305]) ).
fof(f795,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f305]) ).
fof(f863,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f183]) ).
fof(f892,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f667,f863]) ).
fof(f912,plain,
! [X2,X0,X1,X4] :
( relation_image(X0,X1) = X2
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X4,sK6(X0,X1,X2)),unordered_pair(X4,X4)),X0)
| ~ in(sK6(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f583,f892]) ).
fof(f913,plain,
! [X2,X0,X1] :
( relation_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),unordered_pair(sK7(X0,X1,X2),sK7(X0,X1,X2))),X0)
| in(sK6(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f581,f892]) ).
fof(f946,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK40(X0,X5),X5),unordered_pair(sK40(X0,X5),sK40(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f662,f892]) ).
fof(f986,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f795,f892]) ).
fof(f987,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2) ),
inference(definition_unfolding,[],[f794,f892]) ).
fof(f1068,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK40(X0,X5),X5),unordered_pair(sK40(X0,X5),sK40(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f946]) ).
cnf(c_76,plain,
( ~ in(unordered_pair(unordered_pair(X0,sK6(X1,X2,X3)),unordered_pair(X0,X0)),X1)
| ~ in(sK6(X1,X2,X3),X3)
| ~ in(X0,X2)
| ~ relation(X1)
| relation_image(X1,X2) = X3 ),
inference(cnf_transformation,[],[f912]) ).
cnf(c_78,plain,
( ~ relation(X0)
| relation_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),unordered_pair(sK7(X0,X1,X2),sK7(X0,X1,X2))),X0)
| in(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f913]) ).
cnf(c_163,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK40(X1,X0),X0),unordered_pair(sK40(X1,X0),sK40(X1,X0))),X1) ),
inference(cnf_transformation,[],[f1068]) ).
cnf(c_283,negated_conjecture,
relation_image(sK58,relation_dom(sK58)) != relation_rng(sK58),
inference(cnf_transformation,[],[f787]) ).
cnf(c_284,negated_conjecture,
relation(sK58),
inference(cnf_transformation,[],[f786]) ).
cnf(c_291,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f986]) ).
cnf(c_292,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f987]) ).
cnf(c_2609,plain,
( ~ in(unordered_pair(unordered_pair(X0,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(X0,X0)),sK58)
| ~ in(sK6(sK58,relation_dom(sK58),relation_rng(sK58)),relation_rng(sK58))
| ~ in(X0,relation_dom(sK58))
| ~ relation(sK58)
| relation_image(sK58,relation_dom(sK58)) = relation_rng(sK58) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_2629,plain,
( ~ relation(sK58)
| relation_image(sK58,relation_dom(sK58)) = relation_rng(sK58)
| in(unordered_pair(unordered_pair(sK7(sK58,relation_dom(sK58),relation_rng(sK58)),sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(sK7(sK58,relation_dom(sK58),relation_rng(sK58)),sK7(sK58,relation_dom(sK58),relation_rng(sK58)))),sK58)
| in(sK6(sK58,relation_dom(sK58),relation_rng(sK58)),relation_rng(sK58)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_2959,plain,
( ~ in(sK6(sK58,relation_dom(sK58),relation_rng(sK58)),relation_rng(sK58))
| ~ relation(sK58)
| in(unordered_pair(unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))))),sK58) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_6677,plain,
( ~ in(unordered_pair(unordered_pair(sK7(sK58,relation_dom(sK58),relation_rng(sK58)),sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(sK7(sK58,relation_dom(sK58),relation_rng(sK58)),sK7(sK58,relation_dom(sK58),relation_rng(sK58)))),sK58)
| ~ relation(sK58)
| in(sK6(sK58,relation_dom(sK58),relation_rng(sK58)),relation_rng(sK58)) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_13793,plain,
( ~ in(unordered_pair(unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))))),sK58)
| ~ relation(sK58)
| in(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),relation_dom(sK58)) ),
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_13827,plain,
( ~ in(unordered_pair(unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK6(sK58,relation_dom(sK58),relation_rng(sK58))),unordered_pair(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))))),sK58)
| ~ in(sK40(sK58,sK6(sK58,relation_dom(sK58),relation_rng(sK58))),relation_dom(sK58))
| ~ in(sK6(sK58,relation_dom(sK58),relation_rng(sK58)),relation_rng(sK58))
| ~ relation(sK58)
| relation_image(sK58,relation_dom(sK58)) = relation_rng(sK58) ),
inference(instantiation,[status(thm)],[c_2609]) ).
cnf(c_14822,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13827,c_13793,c_6677,c_2959,c_2629,c_283,c_284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU206+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 17:39:48 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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
% 17.76/3.20 % SZS status Started for theBenchmark.p
% 17.76/3.20 % SZS status Theorem for theBenchmark.p
% 17.76/3.20
% 17.76/3.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.76/3.20
% 17.76/3.20 ------ iProver source info
% 17.76/3.20
% 17.76/3.20 git: date: 2024-05-02 19:28:25 +0000
% 17.76/3.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.76/3.20 git: non_committed_changes: false
% 17.76/3.20
% 17.76/3.20 ------ Parsing...
% 17.76/3.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.76/3.20
% 17.76/3.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 17.76/3.20
% 17.76/3.20 ------ Preprocessing...
% 17.76/3.20
% 17.76/3.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.76/3.20 ------ Proving...
% 17.76/3.20 ------ Problem Properties
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20 clauses 315
% 17.76/3.20 conjectures 22
% 17.76/3.20 EPR 32
% 17.76/3.20 Horn 254
% 17.76/3.20 unary 53
% 17.76/3.20 binary 104
% 17.76/3.20 lits 833
% 17.76/3.20 lits eq 163
% 17.76/3.20 fd_pure 0
% 17.76/3.20 fd_pseudo 0
% 17.76/3.20 fd_cond 13
% 17.76/3.20 fd_pseudo_cond 65
% 17.76/3.20 AC symbols 0
% 17.76/3.20
% 17.76/3.20 ------ Input Options Time Limit: Unbounded
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20 ------
% 17.76/3.20 Current options:
% 17.76/3.20 ------
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20 ------ Proving...
% 17.76/3.20
% 17.76/3.20
% 17.76/3.20 % SZS status Theorem for theBenchmark.p
% 17.76/3.20
% 17.76/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.76/3.20
% 17.76/3.20
%------------------------------------------------------------------------------