TSTP Solution File: SEU383+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : 300s
% DateTime : Thu Aug 31 16:25:18 EDT 2023
% Result : Theorem 0.17s 0.67s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 52
% Syntax : Number of formulae : 109 ( 16 unt; 40 typ; 0 def)
% Number of atoms : 244 ( 20 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 276 ( 101 ~; 105 |; 45 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 31 >; 12 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 9 con; 0-2 aty)
% Number of variables : 99 ( 3 sgn; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
finite: $i > $o ).
tff(decl_25,type,
rel_str: $i > $o ).
tff(decl_26,type,
empty_carrier: $i > $o ).
tff(decl_27,type,
v1_yellow_3: $i > $o ).
tff(decl_28,type,
powerset: $i > $i ).
tff(decl_29,type,
element: ( $i * $i ) > $o ).
tff(decl_30,type,
reflexive_relstr: $i > $o ).
tff(decl_31,type,
bottom_of_relstr: $i > $i ).
tff(decl_32,type,
empty_set: $i ).
tff(decl_33,type,
join_on_relstr: ( $i * $i ) > $i ).
tff(decl_34,type,
the_carrier: $i > $i ).
tff(decl_35,type,
upper_relstr_subset: ( $i * $i ) > $o ).
tff(decl_36,type,
related: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
one_sorted_str: $i > $o ).
tff(decl_38,type,
transitive_relstr: $i > $o ).
tff(decl_39,type,
filtered_subset: ( $i * $i ) > $o ).
tff(decl_40,type,
subset: ( $i * $i ) > $o ).
tff(decl_41,type,
antisymmetric_relstr: $i > $o ).
tff(decl_42,type,
lower_bounded_relstr: $i > $o ).
tff(decl_43,type,
proper_element: ( $i * $i ) > $o ).
tff(decl_44,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk3_0: $i ).
tff(decl_47,type,
esk4_0: $i ).
tff(decl_48,type,
esk5_1: $i > $i ).
tff(decl_49,type,
esk6_1: $i > $i ).
tff(decl_50,type,
esk7_0: $i ).
tff(decl_51,type,
esk8_1: $i > $i ).
tff(decl_52,type,
esk9_0: $i ).
tff(decl_53,type,
esk10_1: $i > $i ).
tff(decl_54,type,
esk11_0: $i ).
tff(decl_55,type,
esk12_1: $i > $i ).
tff(decl_56,type,
esk13_0: $i ).
tff(decl_57,type,
esk14_1: $i > $i ).
tff(decl_58,type,
esk15_1: $i > $i ).
tff(decl_59,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk17_0: $i ).
tff(decl_61,type,
esk18_0: $i ).
fof(t8_waybel_7,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(d20_waybel_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( upper_relstr_subset(X2,X1)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( in(X3,X2)
& related(X1,X3,X4) )
=> in(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t44_yellow_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(t5_tex_2,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> ( proper_element(X2,powerset(X1))
<=> X2 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).
fof(dt_k3_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> element(bottom_of_relstr(X1),the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_waybel_7])]) ).
fof(c_0_13,plain,
! [X58,X59,X60] :
( ~ in(X58,X59)
| ~ element(X59,powerset(X60))
| element(X58,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_14,negated_conjecture,
( ~ empty_carrier(esk17_0)
& reflexive_relstr(esk17_0)
& transitive_relstr(esk17_0)
& antisymmetric_relstr(esk17_0)
& lower_bounded_relstr(esk17_0)
& rel_str(esk17_0)
& ~ empty(esk18_0)
& filtered_subset(esk18_0,esk17_0)
& upper_relstr_subset(esk18_0,esk17_0)
& element(esk18_0,powerset(the_carrier(esk17_0)))
& ( ~ proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| in(bottom_of_relstr(esk17_0),esk18_0) )
& ( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,plain,
! [X47,X48] :
( ~ in(X47,X48)
| element(X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_16,plain,
! [X51,X52] :
( ( ~ in(esk16_2(X51,X52),X51)
| ~ in(esk16_2(X51,X52),X52)
| X51 = X52 )
& ( in(esk16_2(X51,X52),X51)
| in(esk16_2(X51,X52),X52)
| X51 = X52 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_17,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
element(esk18_0,powerset(the_carrier(esk17_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( in(esk16_2(X1,X2),X1)
| in(esk16_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( element(X1,the_carrier(esk17_0))
| ~ in(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( X1 = X2
| element(esk16_2(X1,X2),X2)
| in(esk16_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_23,plain,
! [X14,X15,X16,X17] :
( ( ~ upper_relstr_subset(X15,X14)
| ~ element(X16,the_carrier(X14))
| ~ element(X17,the_carrier(X14))
| ~ in(X16,X15)
| ~ related(X14,X16,X17)
| in(X17,X15)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) )
& ( element(esk1_2(X14,X15),the_carrier(X14))
| upper_relstr_subset(X15,X14)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) )
& ( element(esk2_2(X14,X15),the_carrier(X14))
| upper_relstr_subset(X15,X14)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) )
& ( in(esk1_2(X14,X15),X15)
| upper_relstr_subset(X15,X14)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) )
& ( related(X14,esk1_2(X14,X15),esk2_2(X14,X15))
| upper_relstr_subset(X15,X14)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) )
& ( ~ in(esk2_2(X14,X15),X15)
| upper_relstr_subset(X15,X14)
| ~ element(X15,powerset(the_carrier(X14)))
| ~ rel_str(X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d20_waybel_0])])])])]) ).
fof(c_0_24,plain,
! [X49,X50] :
( ~ element(X49,X50)
| empty(X50)
| in(X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_25,negated_conjecture,
( esk18_0 = X1
| element(esk16_2(esk18_0,X1),the_carrier(esk17_0))
| element(esk16_2(esk18_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X61,X62,X63] :
( ~ in(X61,X62)
| ~ element(X62,powerset(X63))
| ~ empty(X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_27,plain,
( in(X4,X1)
| ~ upper_relstr_subset(X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ in(X3,X1)
| ~ related(X2,X3,X4)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ rel_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| element(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0)) ),
inference(ef,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t44_yellow_0]) ).
fof(c_0_32,plain,
! [X64,X65] :
( ( ~ proper_element(X65,powerset(X64))
| X65 != X64
| ~ element(X65,powerset(X64)) )
& ( X65 = X64
| proper_element(X65,powerset(X64))
| ~ element(X65,powerset(X64)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tex_2])])]) ).
fof(c_0_33,plain,
! [X22] :
( ~ rel_str(X22)
| element(bottom_of_relstr(X22),the_carrier(X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])]) ).
cnf(c_0_34,plain,
( in(X1,X2)
| ~ related(X3,X4,X1)
| ~ upper_relstr_subset(X2,X3)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ in(X4,X2) ),
inference(csr,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
upper_relstr_subset(esk18_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
rel_str(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X1)
| ~ in(esk16_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| empty(the_carrier(esk17_0))
| in(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( ~ empty(the_carrier(esk17_0))
| ~ in(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
fof(c_0_40,plain,
! [X56,X57] :
( empty_carrier(X56)
| ~ antisymmetric_relstr(X56)
| ~ lower_bounded_relstr(X56)
| ~ rel_str(X56)
| ~ element(X57,the_carrier(X56))
| related(X56,bottom_of_relstr(X56),X57) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_41,plain,
( X1 = X2
| proper_element(X1,powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( in(X1,esk18_0)
| ~ related(esk17_0,X2,X1)
| ~ element(X1,the_carrier(esk17_0))
| ~ in(X2,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_35]),c_0_36])]) ).
cnf(c_0_44,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| ~ in(esk16_2(esk18_0,the_carrier(esk17_0)),esk18_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_45,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
lower_bounded_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
antisymmetric_relstr(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,negated_conjecture,
~ empty_carrier(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
( in(bottom_of_relstr(esk17_0),esk18_0)
| ~ proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_18]) ).
fof(c_0_51,plain,
! [X54,X55] :
( ( ~ element(X54,powerset(X55))
| subset(X54,X55) )
& ( ~ subset(X54,X55)
| element(X54,powerset(X55)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_52,plain,
! [X46] : subset(X46,X46),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_53,negated_conjecture,
element(bottom_of_relstr(esk17_0),the_carrier(esk17_0)),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_54,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| ~ related(esk17_0,X1,esk16_2(esk18_0,the_carrier(esk17_0)))
| ~ in(X1,esk18_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_44]) ).
cnf(c_0_55,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(esk18_0,the_carrier(esk17_0))) ),
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_45,c_0_29]),c_0_46]),c_0_47]),c_0_36])]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| in(bottom_of_relstr(esk17_0),esk18_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
( ~ proper_element(X1,powerset(X2))
| X1 != X2
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_58,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( empty(the_carrier(esk17_0))
| in(bottom_of_relstr(esk17_0),the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
the_carrier(esk17_0) = esk18_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
~ empty(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_63,plain,
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_66,negated_conjecture,
in(bottom_of_relstr(esk17_0),esk18_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]),c_0_62]) ).
cnf(c_0_67,plain,
~ proper_element(X1,powerset(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_61]),c_0_66])]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Aug 23 22:25:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.53 start to proof: theBenchmark
% 0.17/0.67 % Version : CSE_E---1.5
% 0.17/0.67 % Problem : theBenchmark.p
% 0.17/0.67 % Proof found
% 0.17/0.67 % SZS status Theorem for theBenchmark.p
% 0.17/0.67 % SZS output start Proof
% See solution above
% 0.17/0.67 % Total time : 0.129000 s
% 0.17/0.67 % SZS output end Proof
% 0.17/0.67 % Total time : 0.133000 s
%------------------------------------------------------------------------------