TSTP Solution File: SET069+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET069+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:59:41 EDT 2024
% Result : Theorem 38.64s 6.15s
% Output : CNFRefutation 38.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f11,axiom,
! [X0,X1] :
( member(ordered_pair(X0,X1),element_relation)
<=> ( member(X0,X1)
& member(X1,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation_defn) ).
fof(f13,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
<=> ( member(X4,X1)
& member(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f14,axiom,
! [X0,X4] :
( member(X4,complement(X0))
<=> ( ~ member(X4,X0)
& member(X4,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f15,axiom,
! [X0,X5,X1] : restrict(X5,X0,X1) = intersection(X5,cross_product(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_defn) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f22,axiom,
! [X0,X1,X4] :
( member(X4,union(X0,X1))
<=> ( member(X4,X1)
| member(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f25,axiom,
! [X0,X1] :
( member(ordered_pair(X0,X1),successor_relation)
<=> ( successor(X0) = X1
& member(X1,universal_class)
& member(X0,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation_defn2) ).
fof(f26,axiom,
! [X1] : inverse(X1) = domain_of(flip(cross_product(X1,universal_class))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_defn) ).
fof(f27,axiom,
! [X4] : range_of(X4) = domain_of(inverse(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of_defn) ).
fof(f28,axiom,
! [X0,X5] : image(X5,X0) = range_of(restrict(X5,X0,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image_defn) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f42,axiom,
! [X8,X1] : apply(X8,X1) = sum_class(image(X8,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_defn) ).
fof(f43,axiom,
? [X8] :
( ! [X1] :
( member(X1,universal_class)
=> ( member(apply(X8,X1),X1)
| null_class = X1 ) )
& function(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice) ).
fof(f44,conjecture,
! [X0,X1] :
( ~ member(X1,universal_class)
=> unordered_pair(X0,X1) = singleton(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pair_contains_only_other2) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ~ member(X1,universal_class)
=> unordered_pair(X0,X1) = singleton(X0) ),
inference(negated_conjecture,[],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f49,plain,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f50,plain,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( ~ member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f14]) ).
fof(f51,plain,
! [X0,X1,X2] : restrict(X1,X0,X2) = intersection(X1,cross_product(X0,X2)),
inference(rectify,[],[f15]) ).
fof(f55,plain,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f56,plain,
! [X0] : inverse(X0) = domain_of(flip(cross_product(X0,universal_class))),
inference(rectify,[],[f26]) ).
fof(f57,plain,
! [X0] : range_of(X0) = domain_of(inverse(X0)),
inference(rectify,[],[f27]) ).
fof(f58,plain,
! [X0,X1] : image(X1,X0) = range_of(restrict(X1,X0,universal_class)),
inference(rectify,[],[f28]) ).
fof(f67,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f68,plain,
! [X0,X1] : apply(X0,X1) = sum_class(image(X0,singleton(X1))),
inference(rectify,[],[f42]) ).
fof(f69,plain,
? [X0] :
( ! [X1] :
( member(X1,universal_class)
=> ( member(apply(X0,X1),X1)
| null_class = X1 ) )
& function(X0) ),
inference(rectify,[],[f43]) ).
fof(f71,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f67]) ).
fof(f82,plain,
? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f83,plain,
? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
? [X0,X1] :
( unordered_pair(X0,X1) != singleton(X0)
& ~ member(X1,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f85,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f86,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f86,f87]) ).
fof(f89,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f90,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1] :
( ( member(ordered_pair(X0,X1),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) )
& ( ( member(X0,X1)
& member(X1,universal_class) )
| ~ member(ordered_pair(X0,X1),element_relation) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f96,plain,
! [X0,X1] :
( ( member(ordered_pair(X0,X1),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) )
& ( ( member(X0,X1)
& member(X1,universal_class) )
| ~ member(ordered_pair(X0,X1),element_relation) ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) )
& ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f100,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) )
& ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) ) ),
inference(flattening,[],[f99]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( member(ordered_pair(X0,X1),successor_relation)
| successor(X0) != X1
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) )
& ( ( successor(X0) = X1
& member(X1,universal_class)
& member(X0,universal_class) )
| ~ member(ordered_pair(X0,X1),successor_relation) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f110,plain,
! [X0,X1] :
( ( member(ordered_pair(X0,X1),successor_relation)
| successor(X0) != X1
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) )
& ( ( successor(X0) = X1
& member(X1,universal_class)
& member(X0,universal_class) )
| ~ member(ordered_pair(X0,X1),successor_relation) ) ),
inference(flattening,[],[f109]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK4(X0),X0)
& member(sK4(X0),X0)
& member(sK4(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( disjoint(sK4(X0),X0)
& member(sK4(X0),X0)
& member(sK4(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f81,f129]) ).
fof(f131,plain,
( ? [X0] :
( ! [X1] :
( member(apply(X0,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(X0) )
=> ( ! [X1] :
( member(apply(sK5,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ! [X1] :
( member(apply(sK5,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) )
& function(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f83,f131]) ).
fof(f133,plain,
( ? [X0,X1] :
( unordered_pair(X0,X1) != singleton(X0)
& ~ member(X1,universal_class) )
=> ( unordered_pair(sK6,sK7) != singleton(sK6)
& ~ member(sK7,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( unordered_pair(sK6,sK7) != singleton(sK6)
& ~ member(sK7,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f84,f133]) ).
fof(f135,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f137,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f142,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f143,plain,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f144,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X1
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f92]) ).
fof(f146,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f148,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f157,plain,
! [X0,X1] :
( member(ordered_pair(X0,X1),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(cnf_transformation,[],[f96]) ).
fof(f159,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f161,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f163,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,complement(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f164,plain,
! [X0,X1] :
( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) ),
inference(cnf_transformation,[],[f100]) ).
fof(f165,plain,
! [X2,X0,X1] : restrict(X1,X0,X2) = intersection(X1,cross_product(X0,X2)),
inference(cnf_transformation,[],[f51]) ).
fof(f166,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f180,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f183,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(ordered_pair(X0,X1),successor_relation) ),
inference(cnf_transformation,[],[f110]) ).
fof(f187,plain,
! [X0] : inverse(X0) = domain_of(flip(cross_product(X0,universal_class))),
inference(cnf_transformation,[],[f56]) ).
fof(f188,plain,
! [X0] : range_of(X0) = domain_of(inverse(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f189,plain,
! [X0,X1] : image(X1,X0) = range_of(restrict(X1,X0,universal_class)),
inference(cnf_transformation,[],[f58]) ).
fof(f216,plain,
! [X0] :
( member(sK4(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f217,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f219,plain,
! [X0,X1] : apply(X0,X1) = sum_class(image(X0,singleton(X1))),
inference(cnf_transformation,[],[f68]) ).
fof(f221,plain,
! [X1] :
( member(apply(sK5,X1),X1)
| null_class = X1
| ~ member(X1,universal_class) ),
inference(cnf_transformation,[],[f132]) ).
fof(f222,plain,
~ member(sK7,universal_class),
inference(cnf_transformation,[],[f134]) ).
fof(f223,plain,
unordered_pair(sK6,sK7) != singleton(sK6),
inference(cnf_transformation,[],[f134]) ).
fof(f224,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f148,f147,f147]) ).
fof(f225,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f188,f187]) ).
fof(f226,plain,
! [X0,X1] : image(X1,X0) = domain_of(domain_of(flip(cross_product(intersection(X1,cross_product(X0,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f189,f225,f165]) ).
fof(f228,plain,
! [X0,X1] : apply(X0,X1) = sum_class(domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f219,f226,f147]) ).
fof(f235,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(definition_unfolding,[],[f157,f224]) ).
fof(f249,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation) ),
inference(definition_unfolding,[],[f183,f224]) ).
fof(f260,plain,
! [X1] :
( member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))),X1)
| null_class = X1
| ~ member(X1,universal_class) ),
inference(definition_unfolding,[],[f221,f228]) ).
fof(f261,plain,
unordered_pair(sK6,sK7) != unordered_pair(sK6,sK6),
inference(definition_unfolding,[],[f223,f147]) ).
fof(f264,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f145]) ).
fof(f265,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f144]) ).
cnf(c_49,plain,
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_50,plain,
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_51,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_52,plain,
subclass(X0,universal_class),
inference(cnf_transformation,[],[f138]) ).
cnf(c_53,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_56,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_57,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_58,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_59,plain,
( ~ member(X0,unordered_pair(X1,X2))
| member(X0,universal_class) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_60,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f146]) ).
cnf(c_67,plain,
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_71,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_72,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_73,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_74,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_75,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_77,plain,
~ member(X0,null_class),
inference(cnf_transformation,[],[f166]) ).
cnf(c_89,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_96,plain,
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),successor_relation)
| member(X0,universal_class) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_124,plain,
( X0 = null_class
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_125,plain,
( X0 = null_class
| member(sK4(X0),universal_class) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_126,plain,
( ~ member(X0,universal_class)
| X0 = null_class
| member(sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))),X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_128,negated_conjecture,
unordered_pair(sK6,sK6) != unordered_pair(sK6,sK7),
inference(cnf_transformation,[],[f261]) ).
cnf(c_129,negated_conjecture,
~ member(sK7,universal_class),
inference(cnf_transformation,[],[f222]) ).
cnf(c_1557,plain,
unordered_pair(sK6,sK6) = sP0_iProver_def,
definition ).
cnf(c_1558,plain,
unordered_pair(sK6,sK7) = sP1_iProver_def,
definition ).
cnf(c_1559,negated_conjecture,
~ member(sK7,universal_class),
inference(demodulation,[status(thm)],[c_129]) ).
cnf(c_1560,negated_conjecture,
sP0_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_128,c_1558,c_1557]) ).
cnf(c_1561,plain,
X0 = X0,
theory(equality) ).
cnf(c_1563,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_2475,plain,
( ~ member(sK6,universal_class)
| member(sK6,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1557,c_56]) ).
cnf(c_2486,plain,
( ~ member(sK6,universal_class)
| member(sK6,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_1558,c_57]) ).
cnf(c_2502,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_1558,c_59]) ).
cnf(c_2503,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_1557,c_59]) ).
cnf(c_2521,plain,
( null_class = sP1_iProver_def
| member(sK4(sP1_iProver_def),universal_class) ),
inference(superposition,[status(thm)],[c_124,c_2502]) ).
cnf(c_2532,plain,
( null_class = sP0_iProver_def
| member(sK4(sP0_iProver_def),universal_class) ),
inference(superposition,[status(thm)],[c_124,c_2503]) ).
cnf(c_2565,plain,
( intersection(X0,X1) = null_class
| member(sK4(intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_124,c_72]) ).
cnf(c_2577,plain,
( intersection(X0,X1) = null_class
| member(sK4(intersection(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_124,c_73]) ).
cnf(c_2701,plain,
( ~ subclass(union(X0,X1),X2)
| ~ member(X3,X1)
| member(X3,X2) ),
inference(superposition,[status(thm)],[c_89,c_51]) ).
cnf(c_3237,plain,
( sK4(unordered_pair(X0,X1)) = X0
| sK4(unordered_pair(X0,X1)) = X1
| unordered_pair(X0,X1) = null_class ),
inference(superposition,[status(thm)],[c_124,c_58]) ).
cnf(c_3239,plain,
( ~ member(X0,sP1_iProver_def)
| X0 = sK6
| X0 = sK7 ),
inference(superposition,[status(thm)],[c_1558,c_58]) ).
cnf(c_3240,plain,
( ~ member(X0,sP0_iProver_def)
| X0 = sK6 ),
inference(superposition,[status(thm)],[c_1557,c_58]) ).
cnf(c_3293,plain,
( sP0_iProver_def != X0
| sP1_iProver_def != X0
| sP0_iProver_def = sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_1563]) ).
cnf(c_3359,plain,
( sK4(sP0_iProver_def) = sK6
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_124,c_3240]) ).
cnf(c_3410,plain,
( null_class = sP0_iProver_def
| member(sK6,universal_class) ),
inference(superposition,[status(thm)],[c_3359,c_2532]) ).
cnf(c_3449,plain,
( null_class = sP0_iProver_def
| member(sK6,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_3410,c_2486]) ).
cnf(c_3545,plain,
( sP0_iProver_def != null_class
| sP1_iProver_def != null_class
| sP0_iProver_def = sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_3293]) ).
cnf(c_3550,plain,
sP0_iProver_def = sP0_iProver_def,
inference(instantiation,[status(thm)],[c_1561]) ).
cnf(c_3551,plain,
( X0 != X1
| sP0_iProver_def != X1
| sP0_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1563]) ).
cnf(c_3748,plain,
( sK4(unordered_pair(sK6,sK7)) = sK7
| unordered_pair(sK6,sK7) = null_class
| sK4(sP1_iProver_def) = sK6 ),
inference(superposition,[status(thm)],[c_1558,c_3237]) ).
cnf(c_3781,plain,
( sK4(sP1_iProver_def) = sK6
| sK4(sP1_iProver_def) = sK7
| null_class = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3748,c_1558]) ).
cnf(c_4107,plain,
( sK4(sP1_iProver_def) = sK6
| null_class = sP1_iProver_def
| member(sK7,universal_class) ),
inference(superposition,[status(thm)],[c_3781,c_2521]) ).
cnf(c_4108,plain,
( sK4(sP1_iProver_def) = sK6
| null_class = sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_4107,c_1559]) ).
cnf(c_4294,plain,
( null_class = sP1_iProver_def
| member(sK6,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_4108,c_124]) ).
cnf(c_5287,plain,
( ~ member(unordered_pair(X0,X1),universal_class)
| sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X0
| sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X1
| unordered_pair(X0,X1) = null_class ),
inference(superposition,[status(thm)],[c_126,c_58]) ).
cnf(c_5366,plain,
( sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X0
| sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))) = X1
| unordered_pair(X0,X1) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_5287,c_60]) ).
cnf(c_6871,plain,
( X0 != X1
| sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X0)),universal_class)),universal_class))))) = X0
| unordered_pair(X1,X0) = null_class ),
inference(equality_factoring,[status(thm)],[c_5366]) ).
cnf(c_7257,plain,
( sum_class(domain_of(domain_of(flip(cross_product(intersection(sK5,cross_product(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),universal_class)),universal_class))))) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[status(thm)],[c_6871]) ).
cnf(c_8739,plain,
( ~ member(unordered_pair(X0,X0),universal_class)
| unordered_pair(X0,X0) = null_class
| member(X0,unordered_pair(X0,X0)) ),
inference(superposition,[status(thm)],[c_7257,c_126]) ).
cnf(c_8740,plain,
( unordered_pair(X0,X0) = null_class
| member(X0,unordered_pair(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8739,c_60]) ).
cnf(c_9052,plain,
( unordered_pair(X0,X0) = null_class
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_8740,c_59]) ).
cnf(c_9084,plain,
unordered_pair(sK7,sK7) = null_class,
inference(superposition,[status(thm)],[c_9052,c_1559]) ).
cnf(c_9180,plain,
( ~ member(X0,universal_class)
| ~ member(sK7,X0)
| member(unordered_pair(null_class,unordered_pair(sK7,unordered_pair(X0,X0))),element_relation) ),
inference(superposition,[status(thm)],[c_9084,c_67]) ).
cnf(c_9185,plain,
( ~ member(unordered_pair(null_class,unordered_pair(sK7,unordered_pair(X0,X0))),successor_relation)
| member(sK7,universal_class) ),
inference(superposition,[status(thm)],[c_9084,c_96]) ).
cnf(c_9229,plain,
~ member(unordered_pair(null_class,unordered_pair(sK7,unordered_pair(X0,X0))),successor_relation),
inference(forward_subsumption_resolution,[status(thm)],[c_9185,c_1559]) ).
cnf(c_9931,plain,
( ~ subclass(element_relation,X0)
| ~ member(X1,universal_class)
| ~ member(sK7,X1)
| member(unordered_pair(null_class,unordered_pair(sK7,unordered_pair(X1,X1))),X0) ),
inference(superposition,[status(thm)],[c_9180,c_51]) ).
cnf(c_10167,plain,
( sK4(intersection(X0,sP0_iProver_def)) = sK6
| intersection(X0,sP0_iProver_def) = null_class ),
inference(superposition,[status(thm)],[c_2565,c_3240]) ).
cnf(c_11929,plain,
( X0 != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_3551]) ).
cnf(c_15650,plain,
( sK4(intersection(X0,sP1_iProver_def)) = sK6
| sK4(intersection(X0,sP1_iProver_def)) = sK7
| intersection(X0,sP1_iProver_def) = null_class ),
inference(superposition,[status(thm)],[c_2565,c_3239]) ).
cnf(c_15652,plain,
( sK4(intersection(sP1_iProver_def,X0)) = sK6
| sK4(intersection(sP1_iProver_def,X0)) = sK7
| intersection(sP1_iProver_def,X0) = null_class ),
inference(superposition,[status(thm)],[c_2577,c_3239]) ).
cnf(c_17962,plain,
( ~ member(X0,universal_class)
| ~ member(sK7,X0)
| ~ subclass(element_relation,successor_relation) ),
inference(superposition,[status(thm)],[c_9931,c_9229]) ).
cnf(c_18134,plain,
( ~ subclass(X0,universal_class)
| ~ member(sK7,X0)
| member(sK7,universal_class) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_18178,plain,
~ member(sK7,X0),
inference(global_subsumption_just,[status(thm)],[c_17962,c_52,c_129,c_18134]) ).
cnf(c_20038,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_52,c_2701]) ).
cnf(c_28091,plain,
( intersection(X0,sP0_iProver_def) = null_class
| member(sK6,universal_class) ),
inference(superposition,[status(thm)],[c_10167,c_125]) ).
cnf(c_28099,plain,
( intersection(X0,sP0_iProver_def) = null_class
| member(sK6,X0) ),
inference(superposition,[status(thm)],[c_10167,c_2577]) ).
cnf(c_30440,plain,
( X0 != X1
| sP1_iProver_def != X1
| sP1_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1563]) ).
cnf(c_30904,plain,
sP1_iProver_def = sP1_iProver_def,
inference(instantiation,[status(thm)],[c_1561]) ).
cnf(c_33107,plain,
( null_class != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_11929]) ).
cnf(c_34998,plain,
( ~ member(sK6,X0)
| intersection(complement(X0),sP0_iProver_def) = null_class ),
inference(superposition,[status(thm)],[c_28099,c_75]) ).
cnf(c_37242,plain,
( ~ member(sK6,universal_class)
| intersection(complement(unordered_pair(sK6,X0)),sP0_iProver_def) = null_class ),
inference(superposition,[status(thm)],[c_57,c_34998]) ).
cnf(c_38629,plain,
( sK4(intersection(X0,sP1_iProver_def)) = sK6
| intersection(X0,sP1_iProver_def) = null_class
| member(sK7,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_15650,c_2565]) ).
cnf(c_38633,plain,
( sK4(intersection(X0,sP1_iProver_def)) = sK6
| intersection(X0,sP1_iProver_def) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_38629,c_18178]) ).
cnf(c_39833,plain,
( intersection(X0,sP1_iProver_def) = null_class
| member(sK6,X0) ),
inference(superposition,[status(thm)],[c_38633,c_2577]) ).
cnf(c_40457,plain,
( sK4(intersection(sP1_iProver_def,X0)) = sK6
| intersection(sP1_iProver_def,X0) = null_class
| member(sK7,X0) ),
inference(superposition,[status(thm)],[c_15652,c_2565]) ).
cnf(c_40462,plain,
( sK4(intersection(sP1_iProver_def,X0)) = sK6
| intersection(sP1_iProver_def,X0) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_40457,c_18178]) ).
cnf(c_41118,plain,
( intersection(sP1_iProver_def,X0) = null_class
| member(sK6,X0) ),
inference(superposition,[status(thm)],[c_40462,c_2565]) ).
cnf(c_47810,plain,
( ~ member(sK6,X0)
| intersection(sP1_iProver_def,complement(X0)) = null_class ),
inference(superposition,[status(thm)],[c_41118,c_75]) ).
cnf(c_58383,plain,
( X0 != sP1_iProver_def
| sP1_iProver_def != sP1_iProver_def
| sP1_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_30440]) ).
cnf(c_82172,plain,
intersection(complement(unordered_pair(sK6,X0)),sP0_iProver_def) = null_class,
inference(forward_subsumption_resolution,[status(thm)],[c_37242,c_28091]) ).
cnf(c_82174,plain,
intersection(complement(sP1_iProver_def),sP0_iProver_def) = null_class,
inference(superposition,[status(thm)],[c_1558,c_82172]) ).
cnf(c_82238,plain,
( ~ member(X0,complement(sP1_iProver_def))
| ~ member(X0,sP0_iProver_def)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_82174,c_71]) ).
cnf(c_82252,plain,
( ~ member(X0,complement(sP1_iProver_def))
| ~ member(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82238,c_77]) ).
cnf(c_82270,plain,
( ~ member(X0,universal_class)
| ~ member(X0,sP0_iProver_def)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_74,c_82252]) ).
cnf(c_83920,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_82270,c_2503,c_82270]) ).
cnf(c_83927,plain,
( member(sK0(sP0_iProver_def,X0),sP1_iProver_def)
| subclass(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_50,c_83920]) ).
cnf(c_83954,plain,
( intersection(sP0_iProver_def,sP1_iProver_def) = null_class
| member(sK6,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_39833,c_83920]) ).
cnf(c_84156,plain,
subclass(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_83927,c_49]) ).
cnf(c_84342,plain,
( ~ subclass(sP1_iProver_def,sP0_iProver_def)
| sP0_iProver_def = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_84156,c_53]) ).
cnf(c_84345,plain,
~ subclass(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_84342,c_1560]) ).
cnf(c_90172,plain,
( null_class != sP1_iProver_def
| sP1_iProver_def != sP1_iProver_def
| sP1_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_58383]) ).
cnf(c_92149,plain,
member(sK6,sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_83954,c_1560,c_3449,c_3545,c_3550,c_4294,c_30904,c_33107,c_90172]) ).
cnf(c_92154,plain,
member(sK6,universal_class),
inference(superposition,[status(thm)],[c_92149,c_20038]) ).
cnf(c_92178,plain,
member(sK6,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_2475,c_92154]) ).
cnf(c_92240,plain,
intersection(sP1_iProver_def,complement(sP0_iProver_def)) = null_class,
inference(superposition,[status(thm)],[c_92178,c_47810]) ).
cnf(c_94700,plain,
( ~ member(X0,complement(sP0_iProver_def))
| ~ member(X0,sP1_iProver_def)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_92240,c_71]) ).
cnf(c_94710,plain,
( ~ member(X0,complement(sP0_iProver_def))
| ~ member(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94700,c_77]) ).
cnf(c_94835,plain,
( ~ member(X0,universal_class)
| ~ member(X0,sP1_iProver_def)
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_74,c_94710]) ).
cnf(c_96764,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,sP0_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_94835,c_2502,c_94835]) ).
cnf(c_96771,plain,
( member(sK0(sP1_iProver_def,X0),sP0_iProver_def)
| subclass(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_50,c_96764]) ).
cnf(c_96968,plain,
subclass(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_96771,c_49]) ).
cnf(c_96978,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_96968,c_84345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET069+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:20:23 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 38.64/6.15 % SZS status Started for theBenchmark.p
% 38.64/6.15 % SZS status Theorem for theBenchmark.p
% 38.64/6.15
% 38.64/6.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.64/6.15
% 38.64/6.15 ------ iProver source info
% 38.64/6.15
% 38.64/6.15 git: date: 2024-05-02 19:28:25 +0000
% 38.64/6.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.64/6.15 git: non_committed_changes: false
% 38.64/6.15
% 38.64/6.15 ------ Parsing...
% 38.64/6.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.64/6.15
% 38.64/6.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 38.64/6.15
% 38.64/6.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.64/6.15
% 38.64/6.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.64/6.15 ------ Proving...
% 38.64/6.15 ------ Problem Properties
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15 clauses 78
% 38.64/6.15 conjectures 2
% 38.64/6.15 EPR 9
% 38.64/6.15 Horn 70
% 38.64/6.15 unary 18
% 38.64/6.15 binary 39
% 38.64/6.15 lits 160
% 38.64/6.15 lits eq 17
% 38.64/6.15 fd_pure 0
% 38.64/6.15 fd_pseudo 0
% 38.64/6.15 fd_cond 4
% 38.64/6.15 fd_pseudo_cond 3
% 38.64/6.15 AC symbols 0
% 38.64/6.15
% 38.64/6.15 ------ Schedule dynamic 5 is on
% 38.64/6.15
% 38.64/6.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15 ------
% 38.64/6.15 Current options:
% 38.64/6.15 ------
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15 ------ Proving...
% 38.64/6.15
% 38.64/6.15
% 38.64/6.15 % SZS status Theorem for theBenchmark.p
% 38.64/6.15
% 38.64/6.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.64/6.15
% 38.64/6.15
%------------------------------------------------------------------------------