TSTP Solution File: SEU359+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 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 03:05:56 EDT 2024
% Result : Theorem 2.74s 1.15s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f2,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f10,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f11,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f13,plain,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f16,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X1,X0,X2] :
( ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f24,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| sP0(X1,X0,X2) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f22,f23]) ).
fof(f25,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK1(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ( ~ related(X0,X2,sK1(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK4(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
& element(sK4(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( ! [X5] :
( related(X0,sK5(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK5(X0,X1))
& element(sK5(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ( ~ related(X0,X2,sK4(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
& element(sK4(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ( ! [X5] :
( related(X0,sK5(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK5(X0,X1))
& element(sK5(X0,X1),the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f35,f37,f36]) ).
fof(f39,plain,
! [X1,X0,X2] :
( ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X0,X2) ),
inference(nnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0) )
& ex_sup_of_relstr_set(X1,X2)
& join_on_relstr(X1,X2) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( ~ related(X1,X0,sK6(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( ( ( ~ related(X1,X0,sK6(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0) )
& ex_sup_of_relstr_set(X1,X2)
& join_on_relstr(X1,X2) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f40,f41]) ).
fof(f43,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| sP0(X1,X0,X2) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != X1 )
& ! [X3] :
( related(sK7,X1,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,X1) )
| sP0(X1,sK7,X2) )
& element(X1,the_carrier(sK7)) )
& rel_str(sK7)
& antisymmetric_relstr(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != X1 )
& ! [X3] :
( related(sK7,X1,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,X1) )
| sP0(X1,sK7,X2) )
& element(X1,the_carrier(sK7)) )
=> ( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != sK8 )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,sK8) )
| sP0(sK8,sK7,X2) )
& element(sK8,the_carrier(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != sK8 )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,sK8) )
| sP0(sK8,sK7,X2) )
=> ( ( ( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9) )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,sK9,sK8) )
| sP0(sK8,sK7,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ( ( ( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9) )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,sK9,sK8) )
| sP0(sK8,sK7,sK9) )
& element(sK8,the_carrier(sK7))
& rel_str(sK7)
& antisymmetric_relstr(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f24,f45,f44,f43]) ).
fof(f47,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,X2)
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X2,X0,X1] :
( join_on_relstr(X0,X1) = X2
| element(sK1(X0,X1,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X2,X0,X1] :
( join_on_relstr(X0,X1) = X2
| relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X2,X0,X1] :
( join_on_relstr(X0,X1) = X2
| ~ related(X0,X2,sK1(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X0,X1)
| element(sK4(X0,X1,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X0,X1)
| ~ related(X0,X2,sK4(X0,X1,X2))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f61,plain,
! [X2,X0,X1] :
( join_on_relstr(X1,X2) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f63,plain,
! [X2,X0,X1] :
( element(sK6(X0,X1,X2),the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f64,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ related(X1,X0,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f66,plain,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f46]) ).
fof(f67,plain,
rel_str(sK7),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f46]) ).
fof(f69,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f46]) ).
fof(f71,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9)
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X0,X1,X4] :
( related(X0,join_on_relstr(X0,X1),X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f48]) ).
fof(f73,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f47]) ).
cnf(c_49,plain,
( ~ related(X0,X1,sK1(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| join_on_relstr(X0,X2) = X1 ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_50,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| join_on_relstr(X0,X1) = X2
| relstr_set_smaller(X0,X1,sK1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_51,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| join_on_relstr(X0,X1) = X2
| element(sK1(X0,X1,X2),the_carrier(X0)) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_52,plain,
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_53,plain,
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| relstr_set_smaller(X0,X1,join_on_relstr(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_54,plain,
( ~ rel_str(X0)
| element(join_on_relstr(X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_57,plain,
( ~ related(X0,X1,sK4(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,X2) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_58,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_59,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| element(sK4(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_63,plain,
( ~ related(X0,X1,sK6(X1,X0,X2))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_64,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ sP0(X2,X0,X1)
| relstr_set_smaller(X0,X1,sK6(X2,X0,X1)) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_65,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ sP0(X2,X0,X1)
| element(sK6(X2,X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_66,plain,
( ~ sP0(X0,X1,X2)
| ex_sup_of_relstr_set(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_67,plain,
( ~ sP0(X0,X1,X2)
| join_on_relstr(X1,X2) = X0 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_68,negated_conjecture,
( join_on_relstr(sK7,sK9) != sK8
| ~ ex_sup_of_relstr_set(sK7,sK9)
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_69,negated_conjecture,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,X0)
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_70,negated_conjecture,
( relstr_set_smaller(sK7,sK9,sK8)
| sP0(sK8,sK7,sK9) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_71,negated_conjecture,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f68]) ).
cnf(c_72,negated_conjecture,
rel_str(sK7),
inference(cnf_transformation,[],[f67]) ).
cnf(c_73,negated_conjecture,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f66]) ).
cnf(c_93,plain,
( ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| relstr_set_smaller(X0,X1,join_on_relstr(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_54,c_53]) ).
cnf(c_96,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_54,c_52]) ).
cnf(c_489,plain,
( X0 != sK7
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| element(sK4(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_73]) ).
cnf(c_490,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ rel_str(sK7)
| element(sK4(sK7,X0,X1),the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(unflattening,[status(thm)],[c_489]) ).
cnf(c_492,plain,
( ~ element(X1,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X0,X1)
| element(sK4(sK7,X0,X1),the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_490,c_72,c_490]) ).
cnf(c_493,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| element(sK4(sK7,X0,X1),the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(renaming,[status(thm)],[c_492]) ).
cnf(c_507,plain,
( X0 != sK7
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_73]) ).
cnf(c_508,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ rel_str(sK7)
| relstr_set_smaller(sK7,X0,sK4(sK7,X0,X1))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(unflattening,[status(thm)],[c_507]) ).
cnf(c_510,plain,
( ~ element(X1,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X0,X1)
| relstr_set_smaller(sK7,X0,sK4(sK7,X0,X1))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_508,c_72,c_508]) ).
cnf(c_511,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| relstr_set_smaller(sK7,X0,sK4(sK7,X0,X1))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(renaming,[status(thm)],[c_510]) ).
cnf(c_525,plain,
( X0 != sK7
| ~ related(X0,X1,sK4(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ex_sup_of_relstr_set(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_57,c_73]) ).
cnf(c_526,plain,
( ~ related(sK7,X0,sK4(sK7,X1,X0))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ element(X0,the_carrier(sK7))
| ~ rel_str(sK7)
| ex_sup_of_relstr_set(sK7,X1) ),
inference(unflattening,[status(thm)],[c_525]) ).
cnf(c_528,plain,
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ related(sK7,X0,sK4(sK7,X1,X0))
| ex_sup_of_relstr_set(sK7,X1) ),
inference(global_subsumption_just,[status(thm)],[c_526,c_72,c_526]) ).
cnf(c_529,plain,
( ~ related(sK7,X0,sK4(sK7,X1,X0))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ element(X0,the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,X1) ),
inference(renaming,[status(thm)],[c_528]) ).
cnf(c_647,plain,
( X0 != sK7
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(resolution_lifted,[status(thm)],[c_96,c_72]) ).
cnf(c_648,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| related(sK7,join_on_relstr(sK7,X0),X1) ),
inference(unflattening,[status(thm)],[c_647]) ).
cnf(c_662,plain,
( X0 != sK7
| ~ ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,join_on_relstr(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_93,c_72]) ).
cnf(c_663,plain,
( ~ ex_sup_of_relstr_set(sK7,X0)
| relstr_set_smaller(sK7,X0,join_on_relstr(sK7,X0)) ),
inference(unflattening,[status(thm)],[c_662]) ).
cnf(c_677,plain,
( X0 != sK7
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| join_on_relstr(X0,X1) = X2
| element(sK1(X0,X1,X2),the_carrier(X0)) ),
inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).
cnf(c_678,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| join_on_relstr(sK7,X0) = X1
| element(sK1(sK7,X0,X1),the_carrier(sK7)) ),
inference(unflattening,[status(thm)],[c_677]) ).
cnf(c_695,plain,
( X0 != sK7
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| join_on_relstr(X0,X1) = X2
| relstr_set_smaller(X0,X1,sK1(X0,X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).
cnf(c_696,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| join_on_relstr(sK7,X0) = X1
| relstr_set_smaller(sK7,X0,sK1(sK7,X0,X1)) ),
inference(unflattening,[status(thm)],[c_695]) ).
cnf(c_713,plain,
( X0 != sK7
| ~ related(X0,X1,sK1(X0,X2,X1))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) = X1 ),
inference(resolution_lifted,[status(thm)],[c_49,c_72]) ).
cnf(c_714,plain,
( ~ related(sK7,X0,sK1(sK7,X1,X0))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ element(X0,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X1)
| join_on_relstr(sK7,X1) = X0 ),
inference(unflattening,[status(thm)],[c_713]) ).
cnf(c_775,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| join_on_relstr(X1,X2) = X0
| relstr_set_smaller(sK7,sK9,sK8) ),
inference(resolution_lifted,[status(thm)],[c_67,c_70]) ).
cnf(c_776,plain,
( join_on_relstr(sK7,sK9) = sK8
| relstr_set_smaller(sK7,sK9,sK8) ),
inference(unflattening,[status(thm)],[c_775]) ).
cnf(c_783,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| join_on_relstr(X1,X2) = X0
| related(sK7,sK8,X3) ),
inference(resolution_lifted,[status(thm)],[c_67,c_69]) ).
cnf(c_784,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| join_on_relstr(sK7,sK9) = sK8
| related(sK7,sK8,X0) ),
inference(unflattening,[status(thm)],[c_783]) ).
cnf(c_800,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| relstr_set_smaller(sK7,sK9,sK8)
| ex_sup_of_relstr_set(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_66,c_70]) ).
cnf(c_801,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(unflattening,[status(thm)],[c_800]) ).
cnf(c_808,plain,
( X0 != sK8
| X1 != sK7
| X2 != sK9
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| related(sK7,sK8,X3)
| ex_sup_of_relstr_set(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_66,c_69]) ).
cnf(c_809,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,X0)
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(unflattening,[status(thm)],[c_808]) ).
cnf(c_827,plain,
( X0 != sK7
| X1 != sK8
| X2 != sK9
| ~ related(X0,X1,sK6(X1,X0,X2))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| related(sK7,sK8,X3) ),
inference(resolution_lifted,[status(thm)],[c_63,c_69]) ).
cnf(c_828,plain,
( ~ related(sK7,sK8,sK6(sK8,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| related(sK7,sK8,X0) ),
inference(unflattening,[status(thm)],[c_827]) ).
cnf(c_845,plain,
( join_on_relstr(sK7,sK9) != sK8
| X0 != sK7
| X1 != sK8
| X2 != sK9
| ~ related(X0,X1,sK6(X1,X0,X2))
| ~ relstr_set_smaller(X0,X2,X1)
| ~ ex_sup_of_relstr_set(sK7,sK9) ),
inference(resolution_lifted,[status(thm)],[c_63,c_68]) ).
cnf(c_846,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ related(sK7,sK8,sK6(sK8,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9) ),
inference(unflattening,[status(thm)],[c_845]) ).
cnf(c_861,plain,
( X0 != sK7
| X1 != sK9
| X2 != sK8
| ~ relstr_set_smaller(X0,X1,X2)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| element(sK6(X2,X0,X1),the_carrier(X0))
| related(sK7,sK8,X3) ),
inference(resolution_lifted,[status(thm)],[c_65,c_69]) ).
cnf(c_862,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,X0) ),
inference(unflattening,[status(thm)],[c_861]) ).
cnf(c_879,plain,
( join_on_relstr(sK7,sK9) != sK8
| X0 != sK7
| X1 != sK9
| X2 != sK8
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| element(sK6(X2,X0,X1),the_carrier(X0)) ),
inference(resolution_lifted,[status(thm)],[c_65,c_68]) ).
cnf(c_880,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| element(sK6(sK8,sK7,sK9),the_carrier(sK7)) ),
inference(unflattening,[status(thm)],[c_879]) ).
cnf(c_895,plain,
( X0 != sK7
| X1 != sK9
| X2 != sK8
| ~ relstr_set_smaller(X0,X1,X2)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| relstr_set_smaller(X0,X1,sK6(X2,X0,X1))
| related(sK7,sK8,X3) ),
inference(resolution_lifted,[status(thm)],[c_64,c_69]) ).
cnf(c_896,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9))
| related(sK7,sK8,X0) ),
inference(unflattening,[status(thm)],[c_895]) ).
cnf(c_913,plain,
( join_on_relstr(sK7,sK9) != sK8
| X0 != sK7
| X1 != sK9
| X2 != sK8
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| relstr_set_smaller(X0,X1,sK6(X2,X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_64,c_68]) ).
cnf(c_914,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9)) ),
inference(unflattening,[status(thm)],[c_913]) ).
cnf(c_2922,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| related(sK7,sK8,X0)
| ~ element(X0,the_carrier(sK7))
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_896]) ).
cnf(c_2923,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9))
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_896]) ).
cnf(c_2924,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),the_carrier(sK7))
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_862]) ).
cnf(c_2925,plain,
( ~ related(sK7,sK8,sK6(sK8,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_828]) ).
cnf(c_2926,plain,
the_carrier(sK7) = sP1_iProver_def,
definition ).
cnf(c_2927,negated_conjecture,
element(sK8,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_71,c_2926]) ).
cnf(c_3546,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| related(sK7,sK8,X0)
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(light_normalisation,[status(thm)],[c_809,c_2926]) ).
cnf(c_3572,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),sP1_iProver_def)
| sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2924,c_2926]) ).
cnf(c_3585,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| ~ sP0_iProver_def
| related(sK7,sK8,X0) ),
inference(light_normalisation,[status(thm)],[c_2922,c_2926]) ).
cnf(c_3626,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,sP1_iProver_def)
| element(sK4(sK7,X0,X1),sP1_iProver_def)
| ex_sup_of_relstr_set(sK7,X0) ),
inference(light_normalisation,[status(thm)],[c_493,c_2926]) ).
cnf(c_3635,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ element(X1,sP1_iProver_def)
| relstr_set_smaller(sK7,X0,sK4(sK7,X0,X1))
| ex_sup_of_relstr_set(sK7,X0) ),
inference(light_normalisation,[status(thm)],[c_511,c_2926]) ).
cnf(c_3645,plain,
( ~ element(sK4(sK7,sK9,X0),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| related(sK7,sK8,sK4(sK7,sK9,X0))
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(superposition,[status(thm)],[c_3635,c_3546]) ).
cnf(c_3659,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(X1,sP1_iProver_def)
| related(sK7,join_on_relstr(sK7,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_648,c_2926]) ).
cnf(c_3668,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| join_on_relstr(sK7,sK9) = sK8
| related(sK7,sK8,X0) ),
inference(light_normalisation,[status(thm)],[c_784,c_2926]) ).
cnf(c_3680,plain,
( ~ element(sK4(sK7,sK9,X0),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| join_on_relstr(sK7,sK9) = sK8
| related(sK7,sK8,sK4(sK7,sK9,X0))
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(superposition,[status(thm)],[c_3635,c_3668]) ).
cnf(c_3682,plain,
( ~ element(sK6(sK8,sK7,sK9),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| join_on_relstr(sK7,sK9) = sK8
| related(sK7,sK8,sK6(sK8,sK7,sK9))
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_2923,c_3668]) ).
cnf(c_3710,plain,
( ~ related(sK7,X0,sK4(sK7,X1,X0))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ element(X0,sP1_iProver_def)
| ex_sup_of_relstr_set(sK7,X1) ),
inference(light_normalisation,[status(thm)],[c_529,c_2926]) ).
cnf(c_3741,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| element(sK6(sK8,sK7,sK9),sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_880,c_2926]) ).
cnf(c_3804,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(X1,sP1_iProver_def)
| join_on_relstr(sK7,X0) = X1
| element(sK1(sK7,X0,X1),sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_678,c_2926]) ).
cnf(c_3815,plain,
( ~ relstr_set_smaller(sK7,X0,X1)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(X1,sP1_iProver_def)
| join_on_relstr(sK7,X0) = X1
| relstr_set_smaller(sK7,X0,sK1(sK7,X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_696,c_2926]) ).
cnf(c_3827,plain,
( ~ element(sK1(sK7,sK9,X0),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ sP0_iProver_def
| join_on_relstr(sK7,sK9) = X0
| related(sK7,sK8,sK1(sK7,sK9,X0)) ),
inference(superposition,[status(thm)],[c_3815,c_3585]) ).
cnf(c_3845,plain,
( ~ related(sK7,X0,sK1(sK7,X1,X0))
| ~ relstr_set_smaller(sK7,X1,X0)
| ~ ex_sup_of_relstr_set(sK7,X1)
| ~ element(X0,sP1_iProver_def)
| join_on_relstr(sK7,X1) = X0 ),
inference(light_normalisation,[status(thm)],[c_714,c_2926]) ).
cnf(c_3886,plain,
( join_on_relstr(sK7,sK9) = sK8
| ~ element(sK6(sK8,sK7,sK9),sP1_iProver_def)
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3682,c_776,c_2925,c_3682]) ).
cnf(c_3887,plain,
( ~ element(sK6(sK8,sK7,sK9),sP1_iProver_def)
| join_on_relstr(sK7,sK9) = sK8
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_3886]) ).
cnf(c_3894,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| join_on_relstr(sK7,sK9) = sK8
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_3572,c_3887]) ).
cnf(c_3904,plain,
( join_on_relstr(sK7,sK9) = sK8
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3894,c_776,c_3894]) ).
cnf(c_3915,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| related(sK7,sK8,sK4(sK7,sK9,X0))
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3645,c_3626]) ).
cnf(c_3920,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,sP1_iProver_def)
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(superposition,[status(thm)],[c_3915,c_3710]) ).
cnf(c_3921,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ex_sup_of_relstr_set(sK7,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3920,c_2927]) ).
cnf(c_3953,plain,
ex_sup_of_relstr_set(sK7,sK9),
inference(global_subsumption_just,[status(thm)],[c_3680,c_801,c_3921]) ).
cnf(c_3957,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),sP1_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3741,c_3953]) ).
cnf(c_3960,plain,
( join_on_relstr(sK7,sK9) != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_914,c_3953]) ).
cnf(c_4028,plain,
( ~ element(X0,sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(sK1(sK7,sK9,X0),sP1_iProver_def)
| ~ sP0_iProver_def
| join_on_relstr(sK7,sK9) = X0
| related(sK7,sK8,sK1(sK7,sK9,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3827,c_801,c_3827,c_3921]) ).
cnf(c_4029,plain,
( ~ element(sK1(sK7,sK9,X0),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| ~ sP0_iProver_def
| join_on_relstr(sK7,sK9) = X0
| related(sK7,sK8,sK1(sK7,sK9,X0)) ),
inference(renaming,[status(thm)],[c_4028]) ).
cnf(c_4043,plain,
( ~ element(sK1(sK7,sK9,sK8),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,sP1_iProver_def)
| ~ sP0_iProver_def
| join_on_relstr(sK7,sK9) = sK8 ),
inference(superposition,[status(thm)],[c_4029,c_3845]) ).
cnf(c_4044,plain,
( ~ element(sK1(sK7,sK9,sK8),sP1_iProver_def)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0_iProver_def
| join_on_relstr(sK7,sK9) = sK8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4043,c_2927,c_3953]) ).
cnf(c_4049,plain,
( ~ element(sK1(sK7,sK9,sK8),sP1_iProver_def)
| join_on_relstr(sK7,sK9) = sK8 ),
inference(global_subsumption_just,[status(thm)],[c_4044,c_776,c_3904,c_4044]) ).
cnf(c_4055,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,sP1_iProver_def)
| join_on_relstr(sK7,sK9) = sK8 ),
inference(superposition,[status(thm)],[c_3804,c_4049]) ).
cnf(c_4056,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| join_on_relstr(sK7,sK9) = sK8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4055,c_2927,c_3953]) ).
cnf(c_4059,plain,
join_on_relstr(sK7,sK9) = sK8,
inference(global_subsumption_just,[status(thm)],[c_4056,c_776,c_4056]) ).
cnf(c_4064,plain,
( sK8 != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9)) ),
inference(demodulation,[status(thm)],[c_3960,c_4059]) ).
cnf(c_4065,plain,
( sK8 != sK8
| ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_3957,c_4059]) ).
cnf(c_4070,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| element(sK6(sK8,sK7,sK9),sP1_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_4065]) ).
cnf(c_4073,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9)) ),
inference(equality_resolution_simp,[status(thm)],[c_4064]) ).
cnf(c_4087,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| related(sK7,sK8,X0) ),
inference(superposition,[status(thm)],[c_4059,c_3659]) ).
cnf(c_4088,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| relstr_set_smaller(sK7,sK9,sK8) ),
inference(superposition,[status(thm)],[c_4059,c_663]) ).
cnf(c_4090,plain,
relstr_set_smaller(sK7,sK9,sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_4088,c_3953]) ).
cnf(c_4091,plain,
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,sP1_iProver_def)
| related(sK7,sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4087,c_3953]) ).
cnf(c_4160,plain,
element(sK6(sK8,sK7,sK9),sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_4070,c_776,c_3957,c_4056,c_4090]) ).
cnf(c_4162,plain,
relstr_set_smaller(sK7,sK9,sK6(sK8,sK7,sK9)),
inference(global_subsumption_just,[status(thm)],[c_4073,c_914,c_3953,c_4059,c_4090]) ).
cnf(c_4164,plain,
( ~ element(sK6(sK8,sK7,sK9),sP1_iProver_def)
| related(sK7,sK8,sK6(sK8,sK7,sK9)) ),
inference(superposition,[status(thm)],[c_4162,c_4091]) ).
cnf(c_4165,plain,
related(sK7,sK8,sK6(sK8,sK7,sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_4164,c_4160]) ).
cnf(c_4166,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4165,c_4090,c_4059,c_3953,c_846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 17:44:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 2.74/1.15 % SZS status Started for theBenchmark.p
% 2.74/1.15 % SZS status Theorem for theBenchmark.p
% 2.74/1.15
% 2.74/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.74/1.15
% 2.74/1.15 ------ iProver source info
% 2.74/1.15
% 2.74/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.74/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.74/1.15 git: non_committed_changes: false
% 2.74/1.15
% 2.74/1.15 ------ Parsing...
% 2.74/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.74/1.15
% 2.74/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 2.74/1.15
% 2.74/1.15 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.74/1.15
% 2.74/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.74/1.15 ------ Proving...
% 2.74/1.15 ------ Problem Properties
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15 clauses 32
% 2.74/1.15 conjectures 1
% 2.74/1.15 EPR 2
% 2.74/1.15 Horn 20
% 2.74/1.15 unary 5
% 2.74/1.15 binary 6
% 2.74/1.15 lits 104
% 2.74/1.15 lits eq 12
% 2.74/1.15 fd_pure 0
% 2.74/1.15 fd_pseudo 0
% 2.74/1.15 fd_cond 0
% 2.74/1.15 fd_pseudo_cond 6
% 2.74/1.15 AC symbols 0
% 2.74/1.15
% 2.74/1.15 ------ Schedule dynamic 5 is on
% 2.74/1.15
% 2.74/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15 ------
% 2.74/1.15 Current options:
% 2.74/1.15 ------
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15 ------ Proving...
% 2.74/1.15
% 2.74/1.15
% 2.74/1.15 % SZS status Theorem for theBenchmark.p
% 2.74/1.15
% 2.74/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.74/1.15
% 2.74/1.15
%------------------------------------------------------------------------------