TSTP Solution File: SEU284+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU284+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 17:05:28 EDT 2023
% Result : Theorem 189.23s 25.93s
% Output : CNFRefutation 189.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 107 ( 17 unt; 0 def)
% Number of atoms : 424 ( 152 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 484 ( 167 ~; 170 |; 124 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 214 ( 1 sgn; 130 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [X0,X1] :
( equipotent(X0,X1)
<=> ? [X2] :
( relation_rng(X2) = X1
& relation_dom(X2) = X0
& one_to_one(X2)
& function(X2)
& relation(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord2) ).
fof(f199,axiom,
! [X0,X1] :
( equipotent(X0,X1)
<=> are_equipotent(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r2_wellord2) ).
fof(f202,axiom,
! [X0,X1] : equipotent(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_wellord2) ).
fof(f204,axiom,
! [X0] :
( ? [X1] :
( in(X1,X0)
& ordinal(X1) )
=> ? [X1] :
( ! [X2] :
( ordinal(X2)
=> ( in(X2,X0)
=> ordinal_subset(X1,X2) ) )
& in(X1,X0)
& ordinal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_ordinal1__e8_6__wellord2) ).
fof(f215,axiom,
! [X0] :
( ( ! [X1] :
~ ( ! [X2] : singleton(X1) != X2
& in(X1,X0) )
& ! [X1,X2,X3] :
( ( singleton(X1) = X3
& singleton(X1) = X2
& in(X1,X0) )
=> X2 = X3 ) )
=> ? [X1] :
( ! [X2] :
( in(X2,X0)
=> singleton(X2) = apply(X1,X2) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
fof(f216,conjecture,
! [X0] :
? [X1] :
( ! [X2] :
( in(X2,X0)
=> singleton(X2) = apply(X1,X2) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).
fof(f217,negated_conjecture,
~ ! [X0] :
? [X1] :
( ! [X2] :
( in(X2,X0)
=> singleton(X2) = apply(X1,X2) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) ),
inference(negated_conjecture,[],[f216]) ).
fof(f345,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f379,plain,
! [X0] : equipotent(X0,X0),
inference(rectify,[],[f202]) ).
fof(f381,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& ordinal(X1) )
=> ? [X2] :
( ! [X3] :
( ordinal(X3)
=> ( in(X3,X0)
=> ordinal_subset(X2,X3) ) )
& in(X2,X0)
& ordinal(X2) ) ),
inference(rectify,[],[f204]) ).
fof(f387,plain,
! [X0] :
( ( ! [X1] :
~ ( ! [X2] : singleton(X1) != X2
& in(X1,X0) )
& ! [X3,X4,X5] :
( ( singleton(X3) = X5
& singleton(X3) = X4
& in(X3,X0) )
=> X4 = X5 ) )
=> ? [X6] :
( ! [X7] :
( in(X7,X0)
=> singleton(X7) = apply(X6,X7) )
& relation_dom(X6) = X0
& function(X6)
& relation(X6) ) ),
inference(rectify,[],[f215]) ).
fof(f551,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ordinal_subset(X2,X3)
| ~ in(X3,X0)
| ~ ordinal(X3) )
& in(X2,X0)
& ordinal(X2) )
| ! [X1] :
( ~ in(X1,X0)
| ~ ordinal(X1) ) ),
inference(ennf_transformation,[],[f381]) ).
fof(f552,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ordinal_subset(X2,X3)
| ~ in(X3,X0)
| ~ ordinal(X3) )
& in(X2,X0)
& ordinal(X2) )
| ! [X1] :
( ~ in(X1,X0)
| ~ ordinal(X1) ) ),
inference(flattening,[],[f551]) ).
fof(f568,plain,
! [X0] :
( ? [X6] :
( ! [X7] :
( singleton(X7) = apply(X6,X7)
| ~ in(X7,X0) )
& relation_dom(X6) = X0
& function(X6)
& relation(X6) )
| ? [X1] :
( ! [X2] : singleton(X1) != X2
& in(X1,X0) )
| ? [X3,X4,X5] :
( X4 != X5
& singleton(X3) = X5
& singleton(X3) = X4
& in(X3,X0) ) ),
inference(ennf_transformation,[],[f387]) ).
fof(f569,plain,
! [X0] :
( ? [X6] :
( ! [X7] :
( singleton(X7) = apply(X6,X7)
| ~ in(X7,X0) )
& relation_dom(X6) = X0
& function(X6)
& relation(X6) )
| ? [X1] :
( ! [X2] : singleton(X1) != X2
& in(X1,X0) )
| ? [X3,X4,X5] :
( X4 != X5
& singleton(X3) = X5
& singleton(X3) = X4
& in(X3,X0) ) ),
inference(flattening,[],[f568]) ).
fof(f570,plain,
? [X0] :
! [X1] :
( ? [X2] :
( singleton(X2) != apply(X1,X2)
& in(X2,X0) )
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f217]) ).
fof(f771,plain,
! [X0] :
( ? [X3,X4,X5] :
( X4 != X5
& singleton(X3) = X5
& singleton(X3) = X4
& in(X3,X0) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f772,plain,
! [X0] :
( ? [X6] :
( ! [X7] :
( singleton(X7) = apply(X6,X7)
| ~ in(X7,X0) )
& relation_dom(X6) = X0
& function(X6)
& relation(X6) )
| ? [X1] :
( ! [X2] : singleton(X1) != X2
& in(X1,X0) )
| sP10(X0) ),
inference(definition_folding,[],[f569,f771]) ).
fof(f946,plain,
! [X0,X1] :
( ( equipotent(X0,X1)
| ! [X2] :
( relation_rng(X2) != X1
| relation_dom(X2) != X0
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ) )
& ( ? [X2] :
( relation_rng(X2) = X1
& relation_dom(X2) = X0
& one_to_one(X2)
& function(X2)
& relation(X2) )
| ~ equipotent(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f947,plain,
! [X0,X1] :
( ( equipotent(X0,X1)
| ! [X2] :
( relation_rng(X2) != X1
| relation_dom(X2) != X0
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ) )
& ( ? [X3] :
( relation_rng(X3) = X1
& relation_dom(X3) = X0
& one_to_one(X3)
& function(X3)
& relation(X3) )
| ~ equipotent(X0,X1) ) ),
inference(rectify,[],[f946]) ).
fof(f948,plain,
! [X0,X1] :
( ? [X3] :
( relation_rng(X3) = X1
& relation_dom(X3) = X0
& one_to_one(X3)
& function(X3)
& relation(X3) )
=> ( relation_rng(sK77(X0,X1)) = X1
& relation_dom(sK77(X0,X1)) = X0
& one_to_one(sK77(X0,X1))
& function(sK77(X0,X1))
& relation(sK77(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f949,plain,
! [X0,X1] :
( ( equipotent(X0,X1)
| ! [X2] :
( relation_rng(X2) != X1
| relation_dom(X2) != X0
| ~ one_to_one(X2)
| ~ function(X2)
| ~ relation(X2) ) )
& ( ( relation_rng(sK77(X0,X1)) = X1
& relation_dom(sK77(X0,X1)) = X0
& one_to_one(sK77(X0,X1))
& function(sK77(X0,X1))
& relation(sK77(X0,X1)) )
| ~ equipotent(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77])],[f947,f948]) ).
fof(f1070,plain,
! [X0,X1] :
( ( equipotent(X0,X1)
| ~ are_equipotent(X0,X1) )
& ( are_equipotent(X0,X1)
| ~ equipotent(X0,X1) ) ),
inference(nnf_transformation,[],[f199]) ).
fof(f1078,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ordinal_subset(X1,X2)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& in(X1,X0)
& ordinal(X1) )
| ! [X3] :
( ~ in(X3,X0)
| ~ ordinal(X3) ) ),
inference(rectify,[],[f552]) ).
fof(f1079,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ordinal_subset(X1,X2)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& in(X1,X0)
& ordinal(X1) )
=> ( ! [X2] :
( ordinal_subset(sK132(X0),X2)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& in(sK132(X0),X0)
& ordinal(sK132(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1080,plain,
! [X0] :
( ( ! [X2] :
( ordinal_subset(sK132(X0),X2)
| ~ in(X2,X0)
| ~ ordinal(X2) )
& in(sK132(X0),X0)
& ordinal(sK132(X0)) )
| ! [X3] :
( ~ in(X3,X0)
| ~ ordinal(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK132])],[f1078,f1079]) ).
fof(f1166,plain,
! [X0] :
( ? [X3,X4,X5] :
( X4 != X5
& singleton(X3) = X5
& singleton(X3) = X4
& in(X3,X0) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f771]) ).
fof(f1167,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& singleton(X1) = X3
& singleton(X1) = X2
& in(X1,X0) )
| ~ sP10(X0) ),
inference(rectify,[],[f1166]) ).
fof(f1168,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& singleton(X1) = X3
& singleton(X1) = X2
& in(X1,X0) )
=> ( sK184(X0) != sK185(X0)
& sK185(X0) = singleton(sK183(X0))
& sK184(X0) = singleton(sK183(X0))
& in(sK183(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f1169,plain,
! [X0] :
( ( sK184(X0) != sK185(X0)
& sK185(X0) = singleton(sK183(X0))
& sK184(X0) = singleton(sK183(X0))
& in(sK183(X0),X0) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK183,sK184,sK185])],[f1167,f1168]) ).
fof(f1170,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( singleton(X2) = apply(X1,X2)
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) )
| ? [X3] :
( ! [X4] : singleton(X3) != X4
& in(X3,X0) )
| sP10(X0) ),
inference(rectify,[],[f772]) ).
fof(f1171,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( singleton(X2) = apply(X1,X2)
| ~ in(X2,X0) )
& relation_dom(X1) = X0
& function(X1)
& relation(X1) )
=> ( ! [X2] :
( singleton(X2) = apply(sK186(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK186(X0)) = X0
& function(sK186(X0))
& relation(sK186(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1172,plain,
! [X0] :
( ? [X3] :
( ! [X4] : singleton(X3) != X4
& in(X3,X0) )
=> ( ! [X4] : singleton(sK187(X0)) != X4
& in(sK187(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f1173,plain,
! [X0] :
( ( ! [X2] :
( singleton(X2) = apply(sK186(X0),X2)
| ~ in(X2,X0) )
& relation_dom(sK186(X0)) = X0
& function(sK186(X0))
& relation(sK186(X0)) )
| ( ! [X4] : singleton(sK187(X0)) != X4
& in(sK187(X0),X0) )
| sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK186,sK187])],[f1170,f1172,f1171]) ).
fof(f1174,plain,
( ? [X0] :
! [X1] :
( ? [X2] :
( singleton(X2) != apply(X1,X2)
& in(X2,X0) )
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) )
=> ! [X1] :
( ? [X2] :
( singleton(X2) != apply(X1,X2)
& in(X2,sK188) )
| relation_dom(X1) != sK188
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f1175,plain,
! [X1] :
( ? [X2] :
( singleton(X2) != apply(X1,X2)
& in(X2,sK188) )
=> ( singleton(sK189(X1)) != apply(X1,sK189(X1))
& in(sK189(X1),sK188) ) ),
introduced(choice_axiom,[]) ).
fof(f1176,plain,
! [X1] :
( ( singleton(sK189(X1)) != apply(X1,sK189(X1))
& in(sK189(X1),sK188) )
| relation_dom(X1) != sK188
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK188,sK189])],[f570,f1175,f1174]) ).
fof(f1488,plain,
! [X0,X1] :
( relation_dom(sK77(X0,X1)) = X0
| ~ equipotent(X0,X1) ),
inference(cnf_transformation,[],[f949]) ).
fof(f1743,plain,
! [X0,X1] :
( are_equipotent(X0,X1)
| ~ equipotent(X0,X1) ),
inference(cnf_transformation,[],[f1070]) ).
fof(f1744,plain,
! [X0,X1] :
( equipotent(X0,X1)
| ~ are_equipotent(X0,X1) ),
inference(cnf_transformation,[],[f1070]) ).
fof(f1747,plain,
! [X0] : equipotent(X0,X0),
inference(cnf_transformation,[],[f379]) ).
fof(f1760,plain,
! [X3,X0] :
( in(sK132(X0),X0)
| ~ in(X3,X0)
| ~ ordinal(X3) ),
inference(cnf_transformation,[],[f1080]) ).
fof(f1847,plain,
! [X0] :
( sK184(X0) = singleton(sK183(X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f1169]) ).
fof(f1848,plain,
! [X0] :
( sK185(X0) = singleton(sK183(X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f1169]) ).
fof(f1849,plain,
! [X0] :
( sK184(X0) != sK185(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f1169]) ).
fof(f1851,plain,
! [X0,X4] :
( relation(sK186(X0))
| singleton(sK187(X0)) != X4
| sP10(X0) ),
inference(cnf_transformation,[],[f1173]) ).
fof(f1853,plain,
! [X0,X4] :
( function(sK186(X0))
| singleton(sK187(X0)) != X4
| sP10(X0) ),
inference(cnf_transformation,[],[f1173]) ).
fof(f1855,plain,
! [X0,X4] :
( relation_dom(sK186(X0)) = X0
| singleton(sK187(X0)) != X4
| sP10(X0) ),
inference(cnf_transformation,[],[f1173]) ).
fof(f1857,plain,
! [X2,X0,X4] :
( singleton(X2) = apply(sK186(X0),X2)
| ~ in(X2,X0)
| singleton(sK187(X0)) != X4
| sP10(X0) ),
inference(cnf_transformation,[],[f1173]) ).
fof(f1858,plain,
! [X1] :
( in(sK189(X1),sK188)
| relation_dom(X1) != sK188
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f1859,plain,
! [X1] :
( singleton(sK189(X1)) != apply(X1,sK189(X1))
| relation_dom(X1) != sK188
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f2067,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f345]) ).
fof(f2294,plain,
! [X0] :
( sK185(X0) = unordered_pair(sK183(X0),sK183(X0))
| ~ sP10(X0) ),
inference(definition_unfolding,[],[f1848,f2067]) ).
fof(f2295,plain,
! [X0] :
( sK184(X0) = unordered_pair(sK183(X0),sK183(X0))
| ~ sP10(X0) ),
inference(definition_unfolding,[],[f1847,f2067]) ).
fof(f2296,plain,
! [X2,X0,X4] :
( apply(sK186(X0),X2) = unordered_pair(X2,X2)
| ~ in(X2,X0)
| unordered_pair(sK187(X0),sK187(X0)) != X4
| sP10(X0) ),
inference(definition_unfolding,[],[f1857,f2067,f2067]) ).
fof(f2298,plain,
! [X0,X4] :
( relation_dom(sK186(X0)) = X0
| unordered_pair(sK187(X0),sK187(X0)) != X4
| sP10(X0) ),
inference(definition_unfolding,[],[f1855,f2067]) ).
fof(f2299,plain,
! [X0,X4] :
( function(sK186(X0))
| unordered_pair(sK187(X0),sK187(X0)) != X4
| sP10(X0) ),
inference(definition_unfolding,[],[f1853,f2067]) ).
fof(f2300,plain,
! [X0,X4] :
( relation(sK186(X0))
| unordered_pair(sK187(X0),sK187(X0)) != X4
| sP10(X0) ),
inference(definition_unfolding,[],[f1851,f2067]) ).
fof(f2301,plain,
! [X1] :
( apply(X1,sK189(X1)) != unordered_pair(sK189(X1),sK189(X1))
| relation_dom(X1) != sK188
| ~ function(X1)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f1859,f2067]) ).
fof(f2485,plain,
! [X2,X0] :
( apply(sK186(X0),X2) = unordered_pair(X2,X2)
| ~ in(X2,X0)
| sP10(X0) ),
inference(equality_resolution,[],[f2296]) ).
fof(f2486,plain,
! [X0] :
( relation_dom(sK186(X0)) = X0
| sP10(X0) ),
inference(equality_resolution,[],[f2298]) ).
fof(f2487,plain,
! [X0] :
( function(sK186(X0))
| sP10(X0) ),
inference(equality_resolution,[],[f2299]) ).
fof(f2488,plain,
! [X0] :
( relation(sK186(X0))
| sP10(X0) ),
inference(equality_resolution,[],[f2300]) ).
cnf(c_266,plain,
( ~ equipotent(X0,X1)
| relation_dom(sK77(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1488]) ).
cnf(c_521,plain,
( ~ are_equipotent(X0,X1)
| equipotent(X0,X1) ),
inference(cnf_transformation,[],[f1744]) ).
cnf(c_522,plain,
( ~ equipotent(X0,X1)
| are_equipotent(X0,X1) ),
inference(cnf_transformation,[],[f1743]) ).
cnf(c_525,plain,
equipotent(X0,X0),
inference(cnf_transformation,[],[f1747]) ).
cnf(c_538,plain,
( ~ in(X0,X1)
| ~ ordinal(X0)
| in(sK132(X1),X1) ),
inference(cnf_transformation,[],[f1760]) ).
cnf(c_624,plain,
( sK184(X0) != sK185(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f1849]) ).
cnf(c_625,plain,
( ~ sP10(X0)
| unordered_pair(sK183(X0),sK183(X0)) = sK185(X0) ),
inference(cnf_transformation,[],[f2294]) ).
cnf(c_626,plain,
( ~ sP10(X0)
| unordered_pair(sK183(X0),sK183(X0)) = sK184(X0) ),
inference(cnf_transformation,[],[f2295]) ).
cnf(c_628,plain,
( ~ in(X0,X1)
| apply(sK186(X1),X0) = unordered_pair(X0,X0)
| sP10(X1) ),
inference(cnf_transformation,[],[f2485]) ).
cnf(c_630,plain,
( relation_dom(sK186(X0)) = X0
| sP10(X0) ),
inference(cnf_transformation,[],[f2486]) ).
cnf(c_632,plain,
( function(sK186(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f2487]) ).
cnf(c_634,plain,
( relation(sK186(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f2488]) ).
cnf(c_636,negated_conjecture,
( unordered_pair(sK189(X0),sK189(X0)) != apply(X0,sK189(X0))
| relation_dom(X0) != sK188
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f2301]) ).
cnf(c_637,negated_conjecture,
( relation_dom(X0) != sK188
| ~ function(X0)
| ~ relation(X0)
| in(sK189(X0),sK188) ),
inference(cnf_transformation,[],[f1858]) ).
cnf(c_1897,plain,
( ~ are_equipotent(X0,X1)
| relation_dom(sK77(X0,X1)) = X0 ),
inference(prop_impl_just,[status(thm)],[c_521,c_266]) ).
cnf(c_21943,plain,
( ~ are_equipotent(X0,X1)
| relation_dom(sK77(X0,X1)) = X0 ),
inference(prop_impl_just,[status(thm)],[c_1897]) ).
cnf(c_40809,plain,
X0 = X0,
theory(equality) ).
cnf(c_40811,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_54820,plain,
( relation_dom(sK186(sK188)) = sK188
| sP10(sK188) ),
inference(instantiation,[status(thm)],[c_630]) ).
cnf(c_54821,plain,
( unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) != apply(sK186(sK188),sK189(sK186(sK188)))
| relation_dom(sK186(sK188)) != sK188
| ~ function(sK186(sK188))
| ~ relation(sK186(sK188)) ),
inference(instantiation,[status(thm)],[c_636]) ).
cnf(c_58263,plain,
( ~ in(sK189(X0),sK188)
| apply(sK186(sK188),sK189(X0)) = unordered_pair(sK189(X0),sK189(X0))
| sP10(sK188) ),
inference(instantiation,[status(thm)],[c_628]) ).
cnf(c_58394,plain,
( unordered_pair(sK189(X0),sK189(X0)) != X1
| apply(X0,sK189(X0)) != X1
| unordered_pair(sK189(X0),sK189(X0)) = apply(X0,sK189(X0)) ),
inference(instantiation,[status(thm)],[c_40811]) ).
cnf(c_58479,plain,
( relation(sK186(sK188))
| sP10(sK188) ),
inference(instantiation,[status(thm)],[c_634]) ).
cnf(c_65239,plain,
( ~ function(sK186(sK188))
| ~ relation(sK186(sK188))
| in(sK189(sK186(sK188)),sK188)
| sP10(sK188) ),
inference(resolution,[status(thm)],[c_630,c_637]) ).
cnf(c_65240,plain,
( ~ function(sK186(sK188))
| in(sK189(sK186(sK188)),sK188)
| sP10(sK188) ),
inference(global_subsumption_just,[status(thm)],[c_65239,c_58479,c_65239]) ).
cnf(c_65245,plain,
( in(sK189(sK186(sK188)),sK188)
| sP10(sK188) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65240,c_632]) ).
cnf(c_68636,plain,
( function(sK186(sK188))
| sP10(sK188) ),
inference(instantiation,[status(thm)],[c_632]) ).
cnf(c_71487,plain,
( unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) != X0
| apply(sK186(sK188),sK189(sK186(sK188))) != X0
| unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) = apply(sK186(sK188),sK189(sK186(sK188))) ),
inference(instantiation,[status(thm)],[c_58394]) ).
cnf(c_71531,plain,
( ~ in(sK189(sK186(sK188)),sK188)
| apply(sK186(sK188),sK189(sK186(sK188))) = unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188)))
| sP10(sK188) ),
inference(instantiation,[status(thm)],[c_58263]) ).
cnf(c_88560,plain,
( unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) != unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188)))
| apply(sK186(sK188),sK189(sK186(sK188))) != unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188)))
| unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) = apply(sK186(sK188),sK189(sK186(sK188))) ),
inference(instantiation,[status(thm)],[c_71487]) ).
cnf(c_88561,plain,
unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))) = unordered_pair(sK189(sK186(sK188)),sK189(sK186(sK188))),
inference(instantiation,[status(thm)],[c_40809]) ).
cnf(c_97263,plain,
( ~ ordinal(sK189(sK186(sK188)))
| in(sK132(sK188),sK188)
| sP10(sK188) ),
inference(resolution,[status(thm)],[c_538,c_65245]) ).
cnf(c_98918,plain,
sP10(sK188),
inference(global_subsumption_just,[status(thm)],[c_97263,c_54820,c_54821,c_58479,c_65245,c_68636,c_71531,c_88560,c_88561]) ).
cnf(c_104257,plain,
are_equipotent(X0,X0),
inference(superposition,[status(thm)],[c_525,c_522]) ).
cnf(c_109118,plain,
relation_dom(sK77(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_104257,c_21943]) ).
cnf(c_109190,plain,
( X0 != sK188
| ~ function(sK77(X0,X0))
| ~ relation(sK77(X0,X0))
| in(sK189(sK77(X0,X0)),sK188) ),
inference(superposition,[status(thm)],[c_109118,c_637]) ).
cnf(c_109225,plain,
( ~ function(sK77(sK188,sK188))
| ~ relation(sK77(sK188,sK188))
| in(sK189(sK77(sK188,sK188)),sK188) ),
inference(equality_resolution,[status(thm)],[c_109190]) ).
cnf(c_167072,plain,
( ~ function(sK77(sK188,sK188))
| ~ relation(sK77(sK188,sK188))
| unordered_pair(sK189(sK77(sK188,sK188)),sK189(sK77(sK188,sK188))) = apply(sK186(sK188),sK189(sK77(sK188,sK188)))
| sP10(sK188) ),
inference(superposition,[status(thm)],[c_109225,c_628]) ).
cnf(c_167786,plain,
sP10(sK188),
inference(global_subsumption_just,[status(thm)],[c_167072,c_98918]) ).
cnf(c_167788,plain,
unordered_pair(sK183(sK188),sK183(sK188)) = sK184(sK188),
inference(superposition,[status(thm)],[c_167786,c_626]) ).
cnf(c_167789,plain,
unordered_pair(sK183(sK188),sK183(sK188)) = sK185(sK188),
inference(superposition,[status(thm)],[c_167786,c_625]) ).
cnf(c_168204,plain,
sK184(sK188) = sK185(sK188),
inference(light_normalisation,[status(thm)],[c_167789,c_167788]) ).
cnf(c_168205,plain,
~ sP10(sK188),
inference(superposition,[status(thm)],[c_168204,c_624]) ).
cnf(c_168206,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_168205,c_167786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU284+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.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 15:32:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 189.23/25.93 % SZS status Started for theBenchmark.p
% 189.23/25.93 % SZS status Theorem for theBenchmark.p
% 189.23/25.93
% 189.23/25.93 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 189.23/25.93
% 189.23/25.93 ------ iProver source info
% 189.23/25.93
% 189.23/25.93 git: date: 2023-05-31 18:12:56 +0000
% 189.23/25.93 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 189.23/25.93 git: non_committed_changes: false
% 189.23/25.93 git: last_make_outside_of_git: false
% 189.23/25.93
% 189.23/25.93 ------ Parsing...
% 189.23/25.93 ------ Clausification by vclausify_rel & Parsing by iProver...
% 189.23/25.93
% 189.23/25.93 ------ Preprocessing... sup_sim: 86 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 189.23/25.93
% 189.23/25.93 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 189.23/25.93
% 189.23/25.93 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 189.23/25.93 ------ Proving...
% 189.23/25.93 ------ Problem Properties
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93 clauses 755
% 189.23/25.93 conjectures 2
% 189.23/25.93 EPR 114
% 189.23/25.93 Horn 582
% 189.23/25.93 unary 90
% 189.23/25.93 binary 233
% 189.23/25.93 lits 2227
% 189.23/25.93 lits eq 351
% 189.23/25.93 fd_pure 0
% 189.23/25.93 fd_pseudo 0
% 189.23/25.93 fd_cond 21
% 189.23/25.93 fd_pseudo_cond 105
% 189.23/25.93 AC symbols 0
% 189.23/25.93
% 189.23/25.93 ------ Input Options Time Limit: Unbounded
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93 ------
% 189.23/25.93 Current options:
% 189.23/25.93 ------
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93 ------ Proving...
% 189.23/25.93
% 189.23/25.93
% 189.23/25.93 % SZS status Theorem for theBenchmark.p
% 189.23/25.93
% 189.23/25.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 189.23/25.93
% 189.23/25.94
%------------------------------------------------------------------------------