%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU360+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:29:07 PM UTC 2026
% Result : Theorem 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 8 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 410 ( 171 ~; 172 |; 42 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 97 ( 0 sgn 47 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(d4_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ( lower_bounded_relstr(X1)
<=> ? [X2] :
( relstr_element_smaller(X1,the_carrier(X1),X2)
& element(X2,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t15_yellow_0,axiom,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) )
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(t42_yellow_0,conjecture,
! [X1] :
( ( rel_str(X1)
& lower_bounded_relstr(X1)
& antisymmetric_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ex_inf_of_relstr_set(X1,the_carrier(X1))
& ex_sup_of_relstr_set(X1,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( in(X1,X2)
| empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(t16_yellow_0,axiom,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( ex_inf_of_relstr_set(X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_element_smaller(X1,X2,X4)
=> related(X1,X4,X3) ) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(t6_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_element_smaller(X1,empty_set,X2)
& relstr_set_smaller(X1,empty_set,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(c_0_10,plain,
! [X16,X17,X18,X19] :
( ( ~ rel_str(X16)
| ~ element(X18,the_carrier(X16))
| relstr_element_smaller(X16,X17,X18)
| ~ related(X16,X18,esk5_3(X16,X17,X18)) )
& ( ~ rel_str(X16)
| ~ element(X18,the_carrier(X16))
| relstr_element_smaller(X16,X17,X18)
| in(esk5_3(X16,X17,X18),X17) )
& ( ~ rel_str(X16)
| ~ element(X18,the_carrier(X16))
| relstr_element_smaller(X16,X17,X18)
| element(esk5_3(X16,X17,X18),the_carrier(X16)) )
& ( ~ rel_str(X16)
| ~ element(X18,the_carrier(X16))
| related(X16,X18,X19)
| ~ in(X19,X17)
| ~ element(X19,the_carrier(X16))
| ~ relstr_element_smaller(X16,X17,X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_lattice3])])])])])]) ).
fof(c_0_11,plain,
! [X13,X15] :
( ( ~ rel_str(X13)
| lower_bounded_relstr(X13)
| ~ relstr_element_smaller(X13,the_carrier(X13),X15)
| ~ element(X15,the_carrier(X13)) )
& ( ~ rel_str(X13)
| ~ lower_bounded_relstr(X13)
| relstr_element_smaller(X13,the_carrier(X13),esk4_1(X13)) )
& ( ~ rel_str(X13)
| ~ lower_bounded_relstr(X13)
| element(esk4_1(X13),the_carrier(X13)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_yellow_0])])])])])]) ).
fof(c_0_12,plain,
! [X37,X38] :
( element(X37,X38)
| ~ in(X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
fof(c_0_13,plain,
! [X22,X23,X25,X26,X27] :
( ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ex_sup_of_relstr_set(X22,X26)
| ~ relstr_set_smaller(X22,X26,X27)
| ~ element(X27,the_carrier(X22))
| ~ related(X22,X27,esk7_3(X22,X26,X27)) )
& ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ex_sup_of_relstr_set(X22,X26)
| ~ relstr_set_smaller(X22,X26,X27)
| ~ element(X27,the_carrier(X22))
| relstr_set_smaller(X22,X26,esk7_3(X22,X26,X27)) )
& ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ex_sup_of_relstr_set(X22,X26)
| ~ relstr_set_smaller(X22,X26,X27)
| ~ element(X27,the_carrier(X22))
| element(esk7_3(X22,X26,X27),the_carrier(X22)) )
& ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ~ ex_sup_of_relstr_set(X22,X23)
| related(X22,esk6_2(X22,X23),X25)
| ~ relstr_set_smaller(X22,X23,X25)
| ~ element(X25,the_carrier(X22)) )
& ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ~ ex_sup_of_relstr_set(X22,X23)
| relstr_set_smaller(X22,X23,esk6_2(X22,X23)) )
& ( ~ rel_str(X22)
| ~ antisymmetric_relstr(X22)
| ~ ex_sup_of_relstr_set(X22,X23)
| element(esk6_2(X22,X23),the_carrier(X22)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_yellow_0])])])])])])]) ).
cnf(c_0_14,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| related(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| relstr_element_smaller(X1,the_carrier(X1),esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| element(esk4_1(X1),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( rel_str(X1)
& lower_bounded_relstr(X1)
& antisymmetric_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ex_inf_of_relstr_set(X1,the_carrier(X1))
& ex_sup_of_relstr_set(X1,empty_set) ) ),
inference(assume_negation,[status(cth)],[t42_yellow_0]) ).
cnf(c_0_19,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk7_3(X1,X3,X2))
| ex_sup_of_relstr_set(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( ~ in(X2,the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| related(X1,esk4_1(X1),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
fof(c_0_21,plain,
! [X39,X40] :
( in(X39,X40)
| empty(X40)
| ~ element(X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1] :
( ( rel_str(X1)
& lower_bounded_relstr(X1)
& antisymmetric_relstr(X1)
& ~ empty_carrier(X1) )
=> ( ex_inf_of_relstr_set(X1,the_carrier(X1))
& ex_sup_of_relstr_set(X1,empty_set) ) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_24,plain,
! [X6,X7,X9,X10,X11] :
( ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ex_inf_of_relstr_set(X6,X10)
| ~ relstr_element_smaller(X6,X10,X11)
| ~ element(X11,the_carrier(X6))
| ~ related(X6,esk3_3(X6,X10,X11),X11) )
& ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ex_inf_of_relstr_set(X6,X10)
| ~ relstr_element_smaller(X6,X10,X11)
| ~ element(X11,the_carrier(X6))
| relstr_element_smaller(X6,X10,esk3_3(X6,X10,X11)) )
& ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ex_inf_of_relstr_set(X6,X10)
| ~ relstr_element_smaller(X6,X10,X11)
| ~ element(X11,the_carrier(X6))
| element(esk3_3(X6,X10,X11),the_carrier(X6)) )
& ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ~ ex_inf_of_relstr_set(X6,X7)
| related(X6,X9,esk2_2(X6,X7))
| ~ relstr_element_smaller(X6,X7,X9)
| ~ element(X9,the_carrier(X6)) )
& ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ~ ex_inf_of_relstr_set(X6,X7)
| relstr_element_smaller(X6,X7,esk2_2(X6,X7)) )
& ( ~ rel_str(X6)
| ~ antisymmetric_relstr(X6)
| ~ ex_inf_of_relstr_set(X6,X7)
| element(esk2_2(X6,X7),the_carrier(X6)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_yellow_0])])])])])])]) ).
cnf(c_0_25,plain,
( ~ in(esk7_3(X1,X2,esk4_1(X1)),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,esk4_1(X1))
| ex_sup_of_relstr_set(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).
cnf(c_0_26,plain,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,negated_conjecture,
( ( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,empty_set) )
& rel_str(esk1_0)
& lower_bounded_relstr(esk1_0)
& antisymmetric_relstr(esk1_0)
& ~ empty_carrier(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_28,plain,
! [X21] :
( ~ empty(the_carrier(X21))
| ~ one_sorted_str(X21)
| empty_carrier(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_29,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| element(esk3_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ element(esk7_3(X1,X2,esk4_1(X1)),the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,esk4_1(X1))
| empty(the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2)
| element(esk7_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_33,plain,
! [X29,X30] :
( ( ~ rel_str(X29)
| ~ element(X30,the_carrier(X29))
| relstr_element_smaller(X29,empty_set,X30) )
& ( ~ rel_str(X29)
| ~ element(X30,the_carrier(X29))
| relstr_set_smaller(X29,empty_set,X30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])])]) ).
cnf(c_0_34,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X32] :
( one_sorted_str(X32)
| ~ rel_str(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_37,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk3_3(X1,X2,X3),X3)
| ex_inf_of_relstr_set(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,plain,
( ~ in(X4,X2)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| related(X1,esk3_3(X1,X2,X3),X4)
| ex_inf_of_relstr_set(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_29]),c_0_30]) ).
cnf(c_0_39,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,esk4_1(X1))
| empty(the_carrier(X1))
| ex_sup_of_relstr_set(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_17]) ).
cnf(c_0_40,plain,
( ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| relstr_set_smaller(X1,empty_set,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( ~ empty(the_carrier(esk1_0))
| ~ one_sorted_str(esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( ~ in(X3,X2)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X3)
| ~ antisymmetric_relstr(X1)
| ex_inf_of_relstr_set(X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| empty(the_carrier(X1))
| ex_sup_of_relstr_set(X1,empty_set) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_17]) ).
cnf(c_0_46,negated_conjecture,
lower_bounded_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,negated_conjecture,
~ empty(the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_49,plain,
( ~ in(esk4_1(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ex_inf_of_relstr_set(X1,the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_15]),c_0_17]) ).
cnf(c_0_50,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0))
| ~ ex_sup_of_relstr_set(esk1_0,empty_set) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,negated_conjecture,
ex_sup_of_relstr_set(esk1_0,empty_set),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_43])]),c_0_48]) ).
cnf(c_0_52,plain,
( ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| empty(the_carrier(X1))
| ex_inf_of_relstr_set(X1,the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_17]) ).
cnf(c_0_53,negated_conjecture,
~ ex_inf_of_relstr_set(esk1_0,the_carrier(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_47]),c_0_43])]),c_0_53]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU360+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:20:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.45 % Version: 3.5.1
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % sh5l with pid 1740231 completed with status 0
% 0.15/0.45 % Result found by sh5l
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.45 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.45 % SubtermCWHack with pid 1740232 completed with status 0
% 0.15/0.45 % Result found by SubtermCWHack
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.45 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.45 % Preprocessing time : 0.002 s
% 0.15/0.45
% 0.15/0.45 % Proof found!
% 0.15/0.45 % SZS status Theorem
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 27
% 0.15/0.45 % Removed by relevancy pruning/SinE : 4
% 0.15/0.45 % Initial clauses : 45
% 0.15/0.45 % Removed in clause preprocessing : 0
% 0.15/0.45 % Initial clauses in saturation : 45
% 0.15/0.45 % Processed clauses : 137
% 0.15/0.45 % ...of these trivial : 0
% 0.15/0.45 % ...subsumed : 17
% 0.15/0.45 % ...remaining for further processing : 120
% 0.15/0.45 % Other redundant clauses eliminated : 0
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 9
% 0.15/0.45 % Backward-rewritten : 2
% 0.15/0.45 % Generated clauses : 141
% 0.15/0.45 % ...of the previous two non-redundant : 112
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 24
% 0.15/0.45 % Paramodulations : 141
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 0
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 27
% 0.15/0.45 % ...of those cached : 21
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 109
% 0.15/0.45 % Positive orientable unit clauses : 11
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 7
% 0.15/0.45 % Non-unit-clauses : 91
% 0.15/0.45 % Current number of unprocessed clauses: 15
% 0.15/0.45 % ...number of literals in the above : 132
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 11
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 3737
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 331
% 0.15/0.45 % Non-unit clause-clause subsumptions : 49
% 0.15/0.45 % Unit Clause-clause subsumption calls : 83
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 2
% 0.15/0.45 % BW rewrite match successes : 2
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 7363
% 0.15/0.45 % Search garbage collected termcells : 773
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.017 s
% 0.15/0.45 % System time : 0.003 s
% 0.15/0.45 % Total time : 0.020 s
% 0.15/0.45 % Maximum resident set size: 3652 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.018 s
% 0.15/0.45 % System time : 0.009 s
% 0.15/0.45 % Total time : 0.027 s
% 0.15/0.45 % Maximum resident set size: 4608 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------