TSTP Solution File: SEU384+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU384+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 09:19:33 EDT 2022
% Result : Theorem 0.57s 50.75s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 112 ( 13 unt; 0 def)
% Number of atoms : 725 ( 74 equ)
% Maximal formula atoms : 110 ( 6 avg)
% Number of connectives : 998 ( 385 ~; 539 |; 48 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-5 aty)
% Number of variables : 277 ( 6 sgn 73 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d7_waybel_9,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ! [X4] :
( ( strict_net_str(X4,X1)
& net_str(X4,X1) )
=> ( X4 = netstr_restr_to_element(X1,X2,X3)
<=> ( ! [X5] :
( in(X5,the_carrier(X4))
<=> ? [X6] :
( element(X6,the_carrier(X2))
& X6 = X5
& related(X2,X3,X6) ) )
& the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))
& the_mapping(X1,X4) = partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d7_waybel_9) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
fof(t12_waybel_9,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> the_carrier(netstr_restr_to_element(X1,X2,X3)) = a_3_0_waybel_9(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_waybel_9) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc5_struct_0) ).
fof(dt_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_waybel_0) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(dt_k5_waybel_9,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1)
& ~ empty_carrier(X2)
& net_str(X2,X1)
& element(X3,the_carrier(X2)) )
=> ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
& net_str(netstr_restr_to_element(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_waybel_9) ).
fof(fraenkel_a_3_0_waybel_9,axiom,
! [X1,X2,X3,X4] :
( ( ~ empty_carrier(X2)
& one_sorted_str(X2)
& ~ empty_carrier(X3)
& net_str(X3,X2)
& element(X4,the_carrier(X3)) )
=> ( in(X1,a_3_0_waybel_9(X2,X3,X4))
<=> ? [X5] :
( element(X5,the_carrier(X3))
& X1 = X5
& related(X3,X4,X5) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fraenkel_a_3_0_waybel_9) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(c_0_13,plain,
! [X7,X8,X9,X10,X11,X11,X13,X15] :
( ( element(esk2_5(X7,X8,X9,X10,X11),the_carrier(X8))
| ~ in(X11,the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( esk2_5(X7,X8,X9,X10,X11) = X11
| ~ in(X11,the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( related(X8,X9,esk2_5(X7,X8,X9,X10,X11))
| ~ in(X11,the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( ~ element(X13,the_carrier(X8))
| X13 != X11
| ~ related(X8,X9,X13)
| in(X11,the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( the_InternalRel(X10) = relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( the_mapping(X7,X10) = partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))
| X10 != netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( ~ in(esk3_4(X7,X8,X9,X10),the_carrier(X10))
| ~ element(X15,the_carrier(X8))
| X15 != esk3_4(X7,X8,X9,X10)
| ~ related(X8,X9,X15)
| the_InternalRel(X10) != relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))
| the_mapping(X7,X10) != partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))
| X10 = netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( element(esk4_4(X7,X8,X9,X10),the_carrier(X8))
| in(esk3_4(X7,X8,X9,X10),the_carrier(X10))
| the_InternalRel(X10) != relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))
| the_mapping(X7,X10) != partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))
| X10 = netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( esk4_4(X7,X8,X9,X10) = esk3_4(X7,X8,X9,X10)
| in(esk3_4(X7,X8,X9,X10),the_carrier(X10))
| the_InternalRel(X10) != relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))
| the_mapping(X7,X10) != partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))
| X10 = netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) )
& ( related(X8,X9,esk4_4(X7,X8,X9,X10))
| in(esk3_4(X7,X8,X9,X10),the_carrier(X10))
| the_InternalRel(X10) != relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))
| the_mapping(X7,X10) != partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))
| X10 = netstr_restr_to_element(X7,X8,X9)
| ~ strict_net_str(X10,X7)
| ~ net_str(X10,X7)
| ~ element(X9,the_carrier(X8))
| empty_carrier(X8)
| ~ net_str(X8,X7)
| empty_carrier(X7)
| ~ one_sorted_str(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d7_waybel_9])])])])])])])]) ).
cnf(c_0_14,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk2_5(X1,X2,X3,X4,X5),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X4,X1)
| ~ strict_net_str(X4,X1)
| X4 != netstr_restr_to_element(X1,X2,X3)
| ~ in(X5,the_carrier(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_15,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk2_5(X1,X2,X3,X4,X5) = X5
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X4,X1)
| ~ strict_net_str(X4,X1)
| X4 != netstr_restr_to_element(X1,X2,X3)
| ~ in(X5,the_carrier(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_18,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(X3,the_carrier(X1))
| X4 != netstr_restr_to_element(X2,X1,X5)
| ~ element(X5,the_carrier(X1))
| ~ in(X3,the_carrier(X4))
| ~ strict_net_str(X4,X2)
| ~ net_str(X4,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X3,X4,X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> the_carrier(netstr_restr_to_element(X1,X2,X3)) = a_3_0_waybel_9(X1,X2,X3) ) ) ),
inference(assume_negation,[status(cth)],[t12_waybel_9]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| subset(the_carrier(X3),X4)
| element(esk1_2(the_carrier(X3),X4),the_carrier(X1))
| X3 != netstr_restr_to_element(X2,X1,X5)
| ~ element(X5,the_carrier(X1))
| ~ strict_net_str(X3,X2)
| ~ net_str(X3,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X3] :
( ( element(esk23_1(X3),powerset(the_carrier(X3)))
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
& ( ~ empty(esk23_1(X3))
| empty_carrier(X3)
| ~ one_sorted_str(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[rc5_struct_0])])])])])])]) ).
fof(c_0_28,plain,
! [X3,X4] :
( ~ one_sorted_str(X3)
| ~ net_str(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])])])]) ).
fof(c_0_29,negated_conjecture,
( ~ empty_carrier(esk24_0)
& one_sorted_str(esk24_0)
& ~ empty_carrier(esk25_0)
& net_str(esk25_0,esk24_0)
& element(esk26_0,the_carrier(esk25_0))
& the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) != a_3_0_waybel_9(esk24_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_21])])])])])]) ).
cnf(c_0_30,plain,
( subset(X1,X2)
| empty(X2)
| ~ element(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| subset(the_carrier(netstr_restr_to_element(X2,X1,X3)),X4)
| element(esk1_2(the_carrier(netstr_restr_to_element(X2,X1,X3)),X4),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( in(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( empty_carrier(X1)
| element(esk23_1(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X4,X5] :
( ( ~ in(esk27_2(X4,X5),X4)
| ~ in(esk27_2(X4,X5),X5)
| X4 = X5 )
& ( in(esk27_2(X4,X5),X4)
| in(esk27_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])]) ).
fof(c_0_35,plain,
! [X2] :
( ~ rel_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_36,plain,
( rel_str(X1)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
net_str(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
one_sorted_str(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| subset(the_carrier(netstr_restr_to_element(X2,X1,X3)),the_carrier(X1))
| empty(the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ( strict_net_str(netstr_restr_to_element(X4,X5,X6),X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| empty_carrier(X5)
| ~ net_str(X5,X4)
| ~ element(X6,the_carrier(X5)) )
& ( net_str(netstr_restr_to_element(X4,X5,X6),X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| empty_carrier(X5)
| ~ net_str(X5,X4)
| ~ element(X6,the_carrier(X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_waybel_9])])])]) ).
cnf(c_0_42,plain,
( empty_carrier(X1)
| in(X2,the_carrier(X1))
| ~ in(X2,esk23_1(X1))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
( X1 = X2
| in(esk27_2(X1,X2),X2)
| in(esk27_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
rel_str(esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
fof(c_0_46,plain,
! [X6,X7,X8,X9,X11] :
( ( element(esk11_4(X6,X7,X8,X9),the_carrier(X8))
| ~ in(X6,a_3_0_waybel_9(X7,X8,X9))
| empty_carrier(X7)
| ~ one_sorted_str(X7)
| empty_carrier(X8)
| ~ net_str(X8,X7)
| ~ element(X9,the_carrier(X8)) )
& ( X6 = esk11_4(X6,X7,X8,X9)
| ~ in(X6,a_3_0_waybel_9(X7,X8,X9))
| empty_carrier(X7)
| ~ one_sorted_str(X7)
| empty_carrier(X8)
| ~ net_str(X8,X7)
| ~ element(X9,the_carrier(X8)) )
& ( related(X8,X9,esk11_4(X6,X7,X8,X9))
| ~ in(X6,a_3_0_waybel_9(X7,X8,X9))
| empty_carrier(X7)
| ~ one_sorted_str(X7)
| empty_carrier(X8)
| ~ net_str(X8,X7)
| ~ element(X9,the_carrier(X8)) )
& ( ~ element(X11,the_carrier(X8))
| X6 != X11
| ~ related(X8,X9,X11)
| in(X6,a_3_0_waybel_9(X7,X8,X9))
| empty_carrier(X7)
| ~ one_sorted_str(X7)
| empty_carrier(X8)
| ~ net_str(X8,X7)
| ~ element(X9,the_carrier(X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_waybel_9])])])])])])])]) ).
cnf(c_0_47,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(the_carrier(netstr_restr_to_element(X2,X1,X3)),powerset(the_carrier(X1)))
| empty(the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| strict_net_str(netstr_restr_to_element(X3,X2,X1),X3)
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( X1 = esk23_1(X2)
| empty_carrier(X2)
| in(esk27_2(X1,esk23_1(X2)),the_carrier(X2))
| in(esk27_2(X1,esk23_1(X2)),X1)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
one_sorted_str(esk25_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
~ empty_carrier(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_52,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| element(esk11_4(X4,X3,X2,X1),the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| ~ in(X4,a_3_0_waybel_9(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| X4 = esk11_4(X4,X3,X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| ~ in(X4,a_3_0_waybel_9(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(the_carrier(netstr_restr_to_element(X2,X1,X3)),powerset(the_carrier(X1)))
| empty(the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_55,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_56,negated_conjecture,
( X1 = esk23_1(esk25_0)
| in(esk27_2(X1,esk23_1(esk25_0)),the_carrier(esk25_0))
| in(esk27_2(X1,esk23_1(esk25_0)),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_57,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ in(X3,a_3_0_waybel_9(X1,X2,X4))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| empty(the_carrier(X1))
| in(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ in(X3,the_carrier(netstr_restr_to_element(X2,X1,X4)))
| ~ net_str(netstr_restr_to_element(X2,X1,X4),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_54]) ).
cnf(c_0_59,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( esk23_1(esk25_0) = the_carrier(esk25_0)
| in(esk27_2(the_carrier(esk25_0),esk23_1(esk25_0)),the_carrier(esk25_0)) ),
inference(ef,[status(thm)],[c_0_56]) ).
cnf(c_0_61,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| subset(a_3_0_waybel_9(X1,X2,X3),X4)
| element(esk1_2(a_3_0_waybel_9(X1,X2,X3),X4),the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_19]) ).
cnf(c_0_62,plain,
( the_carrier(netstr_restr_to_element(X1,X2,X3)) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| empty(the_carrier(X2))
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,X2,X3)),X4),the_carrier(X2))
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,X2,X3)),X4),X4)
| ~ element(X3,the_carrier(X2))
| ~ net_str(netstr_restr_to_element(X1,X2,X3),X1)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_43]) ).
cnf(c_0_63,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| net_str(netstr_restr_to_element(X3,X2,X1),X3)
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,negated_conjecture,
( esk23_1(esk25_0) = the_carrier(esk25_0)
| ~ empty(the_carrier(esk25_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| subset(a_3_0_waybel_9(X1,X2,X3),the_carrier(X2))
| empty(the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_61]) ).
cnf(c_0_67,plain,
( the_carrier(netstr_restr_to_element(X1,X2,X3)) = X4
| empty_carrier(X2)
| empty_carrier(X1)
| empty(the_carrier(X2))
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,X2,X3)),X4),the_carrier(X2))
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,X2,X3)),X4),X4)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
element(esk26_0,the_carrier(esk25_0)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_69,negated_conjecture,
~ empty(the_carrier(esk25_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_50])]),c_0_51]) ).
cnf(c_0_70,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| empty(the_carrier(X2))
| in(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ in(X3,a_3_0_waybel_9(X1,X2,X4))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_66]) ).
cnf(c_0_71,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X5,the_carrier(X4))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X4,X1)
| ~ strict_net_str(X4,X1)
| X4 != netstr_restr_to_element(X1,X2,X3)
| ~ related(X2,X3,X6)
| X6 != X5
| ~ element(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_73,negated_conjecture,
( the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)) = X2
| empty_carrier(X1)
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)),X2),the_carrier(esk25_0))
| in(esk27_2(the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)),X2),X2)
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_51]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
~ empty_carrier(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_75,plain,
( X1 = a_3_0_waybel_9(X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X3)
| empty(the_carrier(X3))
| in(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),the_carrier(X3))
| in(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),X1)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
cnf(c_0_76,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(X4))
| X4 != netstr_restr_to_element(X2,X1,X5)
| ~ related(X1,X5,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ strict_net_str(X4,X2)
| ~ net_str(X4,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| related(X2,X1,esk11_4(X4,X3,X2,X1))
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| ~ in(X4,a_3_0_waybel_9(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_78,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) = X1
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),the_carrier(esk25_0))
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_37]),c_0_38])]),c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( X1 = a_3_0_waybel_9(X2,esk25_0,esk26_0)
| empty_carrier(X2)
| in(esk27_2(X1,a_3_0_waybel_9(X2,esk25_0,esk26_0)),the_carrier(esk25_0))
| in(esk27_2(X1,a_3_0_waybel_9(X2,esk25_0,esk26_0)),X1)
| ~ net_str(esk25_0,X2)
| ~ one_sorted_str(X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_68]),c_0_51]),c_0_69]) ).
cnf(c_0_81,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(netstr_restr_to_element(X2,X1,X4)))
| ~ related(X1,X4,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X2,X1,X4),X2)
| ~ net_str(netstr_restr_to_element(X2,X1,X4),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( related(X1,X2,X3)
| empty_carrier(X4)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,a_3_0_waybel_9(X4,X1,X2))
| ~ net_str(X1,X4)
| ~ one_sorted_str(X4) ),
inference(spm,[status(thm)],[c_0_77,c_0_53]) ).
cnf(c_0_83,plain,
( X1 = X2
| ~ in(esk27_2(X1,X2),X2)
| ~ in(esk27_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_84,negated_conjecture,
( the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) = X1
| element(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),the_carrier(esk25_0))
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
( X1 = a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)
| in(esk27_2(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(esk25_0))
| in(esk27_2(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_37]),c_0_38])]),c_0_74]) ).
cnf(c_0_86,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(netstr_restr_to_element(X2,X1,X4)))
| ~ related(X1,X4,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(X2,X1,X4),X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_48]) ).
cnf(c_0_87,plain,
( X1 = a_3_0_waybel_9(X2,X3,X4)
| related(X3,X4,esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)))
| empty_carrier(X2)
| empty_carrier(X3)
| in(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),X1)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_43]) ).
cnf(c_0_88,negated_conjecture,
( the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) = X1
| element(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),the_carrier(esk25_0))
| ~ in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),X1),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( X1 = a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)
| element(esk27_2(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(esk25_0))
| in(esk27_2(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) != a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_91,plain,
( X1 = a_3_0_waybel_9(X2,X3,X4)
| empty_carrier(X3)
| empty_carrier(X5)
| empty_carrier(X2)
| in(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),the_carrier(netstr_restr_to_element(X5,X3,X4)))
| in(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),X1)
| ~ element(esk27_2(X1,a_3_0_waybel_9(X2,X3,X4)),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ net_str(netstr_restr_to_element(X5,X3,X4),X5)
| ~ net_str(X3,X5)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X5)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
element(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(esk25_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( empty_carrier(X1)
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
| ~ net_str(netstr_restr_to_element(X1,esk25_0,esk26_0),X1)
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_68]),c_0_37]),c_0_38])]),c_0_90]),c_0_51]),c_0_74]) ).
cnf(c_0_94,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| related(X2,X3,esk2_5(X1,X2,X3,X4,X5))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X4,X1)
| ~ strict_net_str(X4,X1)
| X4 != netstr_restr_to_element(X1,X2,X3)
| ~ in(X5,the_carrier(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_95,negated_conjecture,
( empty_carrier(X1)
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_63]),c_0_68])]),c_0_51]) ).
cnf(c_0_96,plain,
( related(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X4)
| X5 != netstr_restr_to_element(X4,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,the_carrier(X5))
| ~ strict_net_str(X5,X4)
| ~ net_str(X5,X4)
| ~ net_str(X1,X4)
| ~ one_sorted_str(X4) ),
inference(spm,[status(thm)],[c_0_94,c_0_15]) ).
cnf(c_0_97,negated_conjecture,
in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_37]),c_0_38])]),c_0_74]) ).
cnf(c_0_98,negated_conjecture,
( related(X1,X2,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| empty_carrier(X3)
| netstr_restr_to_element(esk24_0,esk25_0,esk26_0) != netstr_restr_to_element(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),X3)
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),X3)
| ~ net_str(X1,X3)
| ~ one_sorted_str(X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( related(X1,X2,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| netstr_restr_to_element(esk24_0,esk25_0,esk26_0) != netstr_restr_to_element(esk24_0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(X1,esk24_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_48]),c_0_38]),c_0_68]),c_0_37])]),c_0_74]),c_0_51]) ).
cnf(c_0_100,negated_conjecture,
( empty_carrier(X1)
| empty_carrier(X2)
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(X2,X1,X3)))
| netstr_restr_to_element(esk24_0,esk25_0,esk26_0) != netstr_restr_to_element(esk24_0,X1,X3)
| ~ element(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ net_str(X1,esk24_0)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_99]) ).
cnf(c_0_101,negated_conjecture,
( empty_carrier(X1)
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(netstr_restr_to_element(X1,esk25_0,esk26_0),X1)
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_100]),c_0_92]),c_0_68]),c_0_37])]),c_0_51]) ).
cnf(c_0_102,negated_conjecture,
( related(X1,X2,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| empty_carrier(X3)
| empty_carrier(X4)
| netstr_restr_to_element(X4,esk25_0,esk26_0) != netstr_restr_to_element(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X4,esk25_0,esk26_0),X3)
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(netstr_restr_to_element(X4,esk25_0,esk26_0),X3)
| ~ net_str(netstr_restr_to_element(X4,esk25_0,esk26_0),X4)
| ~ net_str(esk25_0,X4)
| ~ net_str(X1,X3)
| ~ one_sorted_str(X3)
| ~ one_sorted_str(X4) ),
inference(spm,[status(thm)],[c_0_96,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( related(X1,X2,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| empty_carrier(X3)
| netstr_restr_to_element(X3,esk25_0,esk26_0) != netstr_restr_to_element(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(netstr_restr_to_element(X3,esk25_0,esk26_0),X3)
| ~ net_str(esk25_0,X3)
| ~ net_str(X1,X3)
| ~ one_sorted_str(X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_48]),c_0_68])]),c_0_51]) ).
cnf(c_0_104,negated_conjecture,
( related(X1,X2,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| empty_carrier(X3)
| netstr_restr_to_element(X3,esk25_0,esk26_0) != netstr_restr_to_element(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(esk25_0,X3)
| ~ net_str(X1,X3)
| ~ one_sorted_str(X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_63]),c_0_68])]),c_0_51]) ).
cnf(c_0_105,plain,
( empty_carrier(X2)
| empty_carrier(X3)
| in(X4,a_3_0_waybel_9(X3,X2,X1))
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| ~ related(X2,X1,X5)
| X4 != X5
| ~ element(X5,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_106,negated_conjecture,
( related(esk25_0,esk26_0,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| empty_carrier(X1)
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_68])]),c_0_51]) ).
cnf(c_0_107,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,a_3_0_waybel_9(X1,X2,X4))
| ~ related(X2,X4,X3)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( related(esk25_0,esk26_0,esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_37]),c_0_38])]),c_0_74]) ).
cnf(c_0_109,negated_conjecture,
( empty_carrier(X1)
| in(esk27_2(the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),a_3_0_waybel_9(X1,esk25_0,esk26_0))
| ~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0)
| ~ net_str(esk25_0,X1)
| ~ one_sorted_str(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_92]),c_0_68])]),c_0_51]) ).
cnf(c_0_110,negated_conjecture,
~ net_str(netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk24_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_109]),c_0_97]),c_0_37]),c_0_38])]),c_0_90]),c_0_74]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_63]),c_0_68]),c_0_37]),c_0_38])]),c_0_74]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jun 19 04:02:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.37/23.44 eprover: CPU time limit exceeded, terminating
% 0.37/23.45 eprover: CPU time limit exceeded, terminating
% 0.37/23.45 eprover: CPU time limit exceeded, terminating
% 0.37/23.55 eprover: CPU time limit exceeded, terminating
% 0.54/46.46 eprover: CPU time limit exceeded, terminating
% 0.54/46.46 eprover: CPU time limit exceeded, terminating
% 0.54/46.47 eprover: CPU time limit exceeded, terminating
% 0.54/46.60 eprover: CPU time limit exceeded, terminating
% 0.57/50.75 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.57/50.75
% 0.57/50.75 # Failure: Resource limit exceeded (time)
% 0.57/50.75 # OLD status Res
% 0.57/50.75 # Preprocessing time : 0.022 s
% 0.57/50.75 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.57/50.75
% 0.57/50.75 # Failure: Resource limit exceeded (time)
% 0.57/50.75 # OLD status Res
% 0.57/50.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.57/50.75 # Preprocessing time : 0.023 s
% 0.57/50.75 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.57/50.75 # Preprocessing time : 0.024 s
% 0.57/50.75
% 0.57/50.75 # Proof found!
% 0.57/50.75 # SZS status Theorem
% 0.57/50.75 # SZS output start CNFRefutation
% See solution above
% 0.57/50.75 # Proof object total steps : 112
% 0.57/50.75 # Proof object clause steps : 85
% 0.57/50.75 # Proof object formula steps : 27
% 0.57/50.75 # Proof object conjectures : 38
% 0.57/50.75 # Proof object clause conjectures : 35
% 0.57/50.75 # Proof object formula conjectures : 3
% 0.57/50.75 # Proof object initial clauses used : 30
% 0.57/50.75 # Proof object initial formulas used : 13
% 0.57/50.75 # Proof object generating inferences : 53
% 0.57/50.75 # Proof object simplifying inferences : 71
% 0.57/50.75 # Training examples: 0 positive, 0 negative
% 0.57/50.75 # Parsed axioms : 74
% 0.57/50.75 # Removed by relevancy pruning/SinE : 0
% 0.57/50.75 # Initial clauses : 139
% 0.57/50.75 # Removed in clause preprocessing : 14
% 0.57/50.75 # Initial clauses in saturation : 125
% 0.57/50.75 # Processed clauses : 8065
% 0.57/50.75 # ...of these trivial : 3
% 0.57/50.75 # ...subsumed : 4501
% 0.57/50.75 # ...remaining for further processing : 3561
% 0.57/50.75 # Other redundant clauses eliminated : 8
% 0.57/50.75 # Clauses deleted for lack of memory : 48701
% 0.57/50.75 # Backward-subsumed : 313
% 0.57/50.75 # Backward-rewritten : 31
% 0.57/50.75 # Generated clauses : 147040
% 0.57/50.75 # ...of the previous two non-trivial : 145362
% 0.57/50.75 # Contextual simplify-reflections : 0
% 0.57/50.75 # Paramodulations : 146554
% 0.57/50.75 # Factorizations : 278
% 0.57/50.75 # Equation resolutions : 198
% 0.57/50.75 # Current number of processed clauses : 3203
% 0.57/50.75 # Positive orientable unit clauses : 78
% 0.57/50.75 # Positive unorientable unit clauses: 0
% 0.57/50.75 # Negative unit clauses : 19
% 0.57/50.75 # Non-unit-clauses : 3106
% 0.57/50.75 # Current number of unprocessed clauses: 81176
% 0.57/50.75 # ...number of literals in the above : 772207
% 0.57/50.75 # Current number of archived formulas : 0
% 0.57/50.75 # Current number of archived clauses : 354
% 0.57/50.75 # Clause-clause subsumption calls (NU) : 859154
% 0.57/50.75 # Rec. Clause-clause subsumption calls : 230588
% 0.57/50.75 # Non-unit clause-clause subsumptions : 4357
% 0.57/50.75 # Unit Clause-clause subsumption calls : 4721
% 0.57/50.75 # Rewrite failures with RHS unbound : 0
% 0.57/50.75 # BW rewrite match attempts : 54
% 0.57/50.75 # BW rewrite match successes : 16
% 0.57/50.75 # Condensation attempts : 0
% 0.57/50.75 # Condensation successes : 0
% 0.57/50.75 # Termbank termtop insertions : 8815133
% 0.57/50.75
% 0.57/50.75 # -------------------------------------------------
% 0.57/50.75 # User time : 4.073 s
% 0.57/50.75 # System time : 0.112 s
% 0.57/50.75 # Total time : 4.185 s
% 0.57/50.75 # Maximum resident set size: 134160 pages
% 0.57/69.47 eprover: CPU time limit exceeded, terminating
% 0.57/69.48 eprover: CPU time limit exceeded, terminating
% 0.57/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.49 eprover: No such file or directory
% 0.57/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50 eprover: No such file or directory
% 0.57/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.50 eprover: No such file or directory
% 0.57/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.50 eprover: No such file or directory
% 0.57/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.50 eprover: No such file or directory
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.54 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.54 eprover: No such file or directory
%------------------------------------------------------------------------------