%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:29:06 PM UTC 2026
% Result : Theorem 0.25s 0.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 305 ( 40 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 409 ( 158 ~; 182 |; 42 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 71 ( 1 sgn 31 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_yellow_0,conjecture,
! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) )
=> ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) ) )
& ( ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) )
=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(d9_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( ex_sup_of_relstr_set(X1,X2)
=> ( X3 = join_on_relstr(X1,X2)
<=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) )
& relstr_set_smaller(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(dt_k1_yellow_0,axiom,
! [X1,X2] :
( rel_str(X1)
=> element(join_on_relstr(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
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/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( rel_str(X1)
& antisymmetric_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) )
=> ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) ) )
& ( ( ex_sup_of_relstr_set(X1,X3)
& X2 = join_on_relstr(X1,X3) )
=> ( ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) )
& relstr_set_smaller(X1,X3,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t30_yellow_0]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8] :
( ( ~ rel_str(X5)
| ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| X7 = join_on_relstr(X5,X6)
| ~ relstr_set_smaller(X5,X6,X7)
| ~ related(X5,X7,esk1_3(X5,X6,X7)) )
& ( ~ rel_str(X5)
| ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| X7 = join_on_relstr(X5,X6)
| ~ relstr_set_smaller(X5,X6,X7)
| relstr_set_smaller(X5,X6,esk1_3(X5,X6,X7)) )
& ( ~ rel_str(X5)
| ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| X7 = join_on_relstr(X5,X6)
| ~ relstr_set_smaller(X5,X6,X7)
| element(esk1_3(X5,X6,X7),the_carrier(X5)) )
& ( ~ rel_str(X5)
| ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| X7 != join_on_relstr(X5,X6)
| related(X5,X7,X8)
| ~ relstr_set_smaller(X5,X6,X8)
| ~ element(X8,the_carrier(X5)) )
& ( ~ rel_str(X5)
| ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| X7 != join_on_relstr(X5,X6)
| relstr_set_smaller(X5,X6,X7) ) ),
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)],[d9_yellow_0])])])])])]) ).
fof(c_0_6,plain,
! [X10,X11] :
( element(join_on_relstr(X10,X11),the_carrier(X10))
| ~ rel_str(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_yellow_0])])]) ).
fof(c_0_7,plain,
! [X17,X18,X20,X21,X22] :
( ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ex_sup_of_relstr_set(X17,X21)
| ~ relstr_set_smaller(X17,X21,X22)
| ~ element(X22,the_carrier(X17))
| ~ related(X17,X22,esk6_3(X17,X21,X22)) )
& ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ex_sup_of_relstr_set(X17,X21)
| ~ relstr_set_smaller(X17,X21,X22)
| ~ element(X22,the_carrier(X17))
| relstr_set_smaller(X17,X21,esk6_3(X17,X21,X22)) )
& ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ex_sup_of_relstr_set(X17,X21)
| ~ relstr_set_smaller(X17,X21,X22)
| ~ element(X22,the_carrier(X17))
| element(esk6_3(X17,X21,X22),the_carrier(X17)) )
& ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ~ ex_sup_of_relstr_set(X17,X18)
| related(X17,esk5_2(X17,X18),X20)
| ~ relstr_set_smaller(X17,X18,X20)
| ~ element(X20,the_carrier(X17)) )
& ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ~ ex_sup_of_relstr_set(X17,X18)
| relstr_set_smaller(X17,X18,esk5_2(X17,X18)) )
& ( ~ rel_str(X17)
| ~ antisymmetric_relstr(X17)
| ~ ex_sup_of_relstr_set(X17,X18)
| element(esk5_2(X17,X18),the_carrier(X17)) ) ),
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])])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X28] :
( ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| related(esk7_0,esk8_0,X28)
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| ~ element(X28,the_carrier(esk7_0)) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| related(esk7_0,esk8_0,X28)
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| ~ element(X28,the_carrier(esk7_0)) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| element(esk10_0,the_carrier(esk7_0))
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| element(esk10_0,the_carrier(esk7_0))
| related(esk7_0,esk8_0,X28)
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| ~ element(X28,the_carrier(esk7_0)) )
& ( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| element(esk10_0,the_carrier(esk7_0))
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) )
& ( ex_sup_of_relstr_set(esk7_0,esk9_0)
| related(esk7_0,esk8_0,X28)
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| ~ element(X28,the_carrier(esk7_0)) )
& ( ex_sup_of_relstr_set(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& ( esk8_0 = join_on_relstr(esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) )
& ( esk8_0 = join_on_relstr(esk7_0,esk9_0)
| related(esk7_0,esk8_0,X28)
| ~ relstr_set_smaller(esk7_0,esk9_0,X28)
| ~ element(X28,the_carrier(esk7_0)) )
& ( esk8_0 = join_on_relstr(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) )
& element(esk8_0,the_carrier(esk7_0))
& rel_str(esk7_0)
& antisymmetric_relstr(esk7_0) ),
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)],[c_0_4])])])])])]) ).
cnf(c_0_9,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| X3 != join_on_relstr(X1,X2)
| relstr_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ rel_str(X1)
| element(join_on_relstr(X1,X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,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)
| relstr_set_smaller(X1,X2,esk6_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
element(esk8_0,the_carrier(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
antisymmetric_relstr(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
rel_str(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,join_on_relstr(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( esk8_0 = join_on_relstr(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,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(esk6_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| ex_sup_of_relstr_set(esk7_0,X1)
| relstr_set_smaller(esk7_0,X1,esk6_3(esk7_0,X1,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk8_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14])]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| element(esk6_3(esk7_0,X1,esk8_0),the_carrier(esk7_0))
| ex_sup_of_relstr_set(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk7_0))
| ex_sup_of_relstr_set(esk7_0,esk9_0)
| related(esk7_0,esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| ex_sup_of_relstr_set(esk7_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_25,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| X3 = join_on_relstr(X1,X2)
| relstr_set_smaller(X1,X2,esk1_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,plain,
( ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,esk6_3(X1,X3,X2))
| ex_sup_of_relstr_set(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( ex_sup_of_relstr_set(esk7_0,esk9_0)
| related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| X3 = join_on_relstr(X1,X2)
| element(esk1_3(X1,X2,X3),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk7_0,X1)
| ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| relstr_set_smaller(esk7_0,X1,esk1_3(esk7_0,X1,esk8_0))
| join_on_relstr(esk7_0,X1) = esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_14])]) ).
cnf(c_0_30,negated_conjecture,
ex_sup_of_relstr_set(esk7_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13]),c_0_20]),c_0_12]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk7_0,X1)
| ~ relstr_set_smaller(esk7_0,X1,esk8_0)
| element(esk1_3(esk7_0,X1,esk8_0),the_carrier(esk7_0))
| join_on_relstr(esk7_0,X1) = esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_12]),c_0_14])]) ).
cnf(c_0_32,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| ~ element(X1,the_carrier(esk7_0))
| esk8_0 = join_on_relstr(esk7_0,esk9_0)
| related(esk7_0,esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
( relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
| join_on_relstr(esk7_0,esk9_0) = esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_30])]) ).
cnf(c_0_35,negated_conjecture,
( element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
| join_on_relstr(esk7_0,esk9_0) = esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_30])]) ).
cnf(c_0_36,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0)
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
( ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| esk8_0 != join_on_relstr(esk7_0,esk9_0)
| element(esk10_0,the_carrier(esk7_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| ~ related(esk7_0,esk8_0,esk10_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_20])]) ).
cnf(c_0_39,plain,
( ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ related(X1,X2,esk1_3(X1,X3,X2))
| X2 = join_on_relstr(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,negated_conjecture,
( related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
| join_on_relstr(esk7_0,esk9_0) = esk8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,plain,
( ~ rel_str(X2)
| ~ element(X4,the_carrier(X2))
| ~ ex_sup_of_relstr_set(X2,X3)
| X4 != join_on_relstr(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| related(X2,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_42,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_20])]) ).
cnf(c_0_43,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0
| element(esk10_0,the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_20])]) ).
cnf(c_0_44,negated_conjecture,
( ~ related(esk7_0,esk8_0,esk10_0)
| join_on_relstr(esk7_0,esk9_0) != esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_30])]) ).
cnf(c_0_45,negated_conjecture,
join_on_relstr(esk7_0,esk9_0) = esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_20]),c_0_30]),c_0_12]),c_0_14])]) ).
cnf(c_0_46,plain,
( ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| related(X1,join_on_relstr(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_10]) ).
cnf(c_0_47,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) != esk8_0
| relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_30])]) ).
cnf(c_0_48,negated_conjecture,
( join_on_relstr(esk7_0,esk9_0) != esk8_0
| element(esk10_0,the_carrier(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_30])]) ).
cnf(c_0_49,negated_conjecture,
~ related(esk7_0,esk8_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_50,negated_conjecture,
( ~ element(X1,the_carrier(esk7_0))
| ~ relstr_set_smaller(esk7_0,esk9_0,X1)
| related(esk7_0,esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_30]),c_0_14])]) ).
cnf(c_0_51,negated_conjecture,
relstr_set_smaller(esk7_0,esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_45])]) ).
cnf(c_0_52,negated_conjecture,
element(esk10_0,the_carrier(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n007.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 06:13:05 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.56 Running first-order theorem proving
% 0.25/0.56 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.25/0.61 % Version: 3.5.1
% 0.25/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.61 % Starting sh5l with 300s (1) cores
% 0.25/0.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 354695 completed with status 0
% 0.25/0.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.61 % No SInE strategy applied
% 0.25/0.61 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.25/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.25/0.61 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.25/0.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 354700 completed with status 0
% 0.25/0.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.61 % No SInE strategy applied
% 0.25/0.61 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.25/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.61 % Preprocessing time : 0.001 s
% 0.25/0.61 % Presaturation interreduction done
% 0.25/0.61
% 0.25/0.61 % Proof found!
% 0.25/0.61 % SZS status Theorem
% 0.25/0.61 % SZS output start CNFRefutation
% See solution above
% 0.25/0.61 % Parsed axioms : 11
% 0.25/0.61 % Removed by relevancy pruning/SinE : 0
% 0.25/0.61 % Initial clauses : 37
% 0.25/0.61 % Removed in clause preprocessing : 8
% 0.25/0.61 % Initial clauses in saturation : 29
% 0.25/0.61 % Processed clauses : 113
% 0.25/0.61 % ...of these trivial : 2
% 0.25/0.61 % ...subsumed : 1
% 0.25/0.61 % ...remaining for further processing : 110
% 0.25/0.61 % Other redundant clauses eliminated : 2
% 0.25/0.61 % Clauses deleted for lack of memory : 0
% 0.25/0.61 % Backward-subsumed : 7
% 0.25/0.61 % Backward-rewritten : 39
% 0.25/0.61 % Generated clauses : 79
% 0.25/0.61 % ...of the previous two non-redundant : 88
% 0.25/0.61 % ...aggressively subsumed : 0
% 0.25/0.61 % Contextual simplify-reflections : 7
% 0.25/0.61 % Paramodulations : 77
% 0.25/0.61 % Factorizations : 0
% 0.25/0.61 % NegExts : 0
% 0.25/0.61 % Equation resolutions : 2
% 0.25/0.61 % Disequality decompositions : 0
% 0.25/0.61 % Total rewrite steps : 124
% 0.25/0.61 % ...of those cached : 116
% 0.25/0.61 % Propositional unsat checks : 0
% 0.25/0.61 % Propositional check models : 0
% 0.25/0.61 % Propositional check unsatisfiable : 0
% 0.25/0.61 % Propositional clauses : 0
% 0.25/0.61 % Propositional clauses after purity: 0
% 0.25/0.61 % Propositional unsat core size : 0
% 0.25/0.61 % Propositional preprocessing time : 0.000
% 0.25/0.61 % Propositional encoding time : 0.000
% 0.25/0.61 % Propositional solver time : 0.000
% 0.25/0.61 % Success case prop preproc time : 0.000
% 0.25/0.61 % Success case prop encoding time : 0.000
% 0.25/0.61 % Success case prop solver time : 0.000
% 0.25/0.61 % Current number of processed clauses : 33
% 0.25/0.61 % Positive orientable unit clauses : 11
% 0.25/0.61 % Positive unorientable unit clauses: 0
% 0.25/0.61 % Negative unit clauses : 1
% 0.25/0.61 % Non-unit-clauses : 21
% 0.25/0.61 % Current number of unprocessed clauses: 31
% 0.25/0.61 % ...number of literals in the above : 150
% 0.25/0.61 % Current number of archived formulas : 0
% 0.25/0.61 % Current number of archived clauses : 75
% 0.25/0.61 % Clause-clause subsumption calls (NU) : 655
% 0.25/0.61 % Rec. Clause-clause subsumption calls : 156
% 0.25/0.61 % Non-unit clause-clause subsumptions : 14
% 0.25/0.61 % Unit Clause-clause subsumption calls : 15
% 0.25/0.61 % Rewrite failures with RHS unbound : 0
% 0.25/0.61 % BW rewrite match attempts : 9
% 0.25/0.61 % BW rewrite match successes : 5
% 0.25/0.61 % Condensation attempts : 0
% 0.25/0.61 % Condensation successes : 0
% 0.25/0.61 % Termbank termtop insertions : 4703
% 0.25/0.61 % Search garbage collected termcells : 579
% 0.25/0.61
% 0.25/0.61 % -------------------------------------------------
% 0.25/0.61 % User time : 0.012 s
% 0.25/0.61 % System time : 0.006 s
% 0.25/0.61 % Total time : 0.018 s
% 0.25/0.61 % Maximum resident set size: 3640 pages
% 0.25/0.61
% 0.25/0.61 % -------------------------------------------------
% 0.25/0.61 % User time : 0.031 s
% 0.25/0.61 % System time : 0.017 s
% 0.25/0.61 % Total time : 0.047 s
% 0.25/0.61 % Maximum resident set size: 4608 pages
% 0.25/0.61 % E exiting
%------------------------------------------------------------------------------