%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:23:45 PM UTC 2026
% Result : Theorem 22.09s 3.77s
% Output : CNFRefutation 22.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 15 unt; 0 def)
% Number of atoms : 233 ( 65 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 274 ( 113 ~; 123 |; 20 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 157 ( 7 sgn 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(t142_funct_1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( empty(X2)
& in(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,X2)
& in(ordered_pair(X4,X5),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(fc8_relat_1,axiom,
! [X1] :
( empty(X1)
=> ( relation(relation_rng(X1))
& empty(relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(fc12_relat_1,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(c_0_11,plain,
! [X36,X37,X38,X40,X41,X42,X44] :
( ( ~ relation(X36)
| X42 = relation_rng(X36)
| in(ordered_pair(esk8_2(X36,X42),esk7_2(X36,X42)),X36)
| in(esk7_2(X36,X42),X42) )
& ( ~ relation(X36)
| X42 = relation_rng(X36)
| ~ in(ordered_pair(X44,esk7_2(X36,X42)),X36)
| ~ in(esk7_2(X36,X42),X42) )
& ( ~ relation(X36)
| X37 != relation_rng(X36)
| in(X40,X37)
| ~ in(ordered_pair(X41,X40),X36) )
& ( ~ relation(X36)
| X37 != relation_rng(X36)
| in(ordered_pair(esk6_3(X36,X37,X38),X38),X36)
| ~ in(X38,X37) ) ),
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)],[d5_relat_1])])])])])])]) ).
fof(c_0_12,plain,
! [X46,X47] : ordered_pair(X46,X47) = unordered_pair(unordered_pair(X46,X47),singleton(X46)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_13,plain,
( ~ relation(X3)
| X2 != relation_rng(X3)
| ~ in(X1,X2)
| in(ordered_pair(esk6_3(X3,X2,X1),X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X11,X12] : unordered_pair(X11,X12) = unordered_pair(X12,X11),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
inference(assume_negation,[status(cth)],[t142_funct_1]) ).
fof(c_0_17,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_18,plain,
! [X86,X87] :
( ~ empty(X87)
| ~ in(X86,X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_19,plain,
( ~ in(X1,X2)
| ~ relation(X3)
| X2 != relation_rng(X3)
| in(unordered_pair(unordered_pair(esk6_3(X3,X2,X1),X1),singleton(esk6_3(X3,X2,X1))),X3) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X9] :
( relation(X9)
| ~ empty(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])])]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X32,X33,X34] :
( ( X34 = empty_set
| in(esk5_1(X34),X34) )
& ( ~ in(X33,X32)
| X32 != empty_set ) ),
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)],[c_0_17])])])])])]) ).
fof(c_0_24,plain,
! [X13,X14,X15,X16,X18,X19,X20,X21,X23] :
( ( ~ relation(X13)
| X21 = relation_inverse_image(X13,X20)
| in(esk2_3(X13,X20,X21),X21)
| in(esk3_3(X13,X20,X21),X20) )
& ( ~ relation(X13)
| X21 = relation_inverse_image(X13,X20)
| in(esk2_3(X13,X20,X21),X21)
| in(ordered_pair(esk2_3(X13,X20,X21),esk3_3(X13,X20,X21)),X13) )
& ( ~ relation(X13)
| X21 = relation_inverse_image(X13,X20)
| ~ in(X23,X20)
| ~ in(ordered_pair(esk2_3(X13,X20,X21),X23),X13)
| ~ in(esk2_3(X13,X20,X21),X21) )
& ( ~ relation(X13)
| X15 != relation_inverse_image(X13,X14)
| in(X18,X15)
| ~ in(X19,X14)
| ~ in(ordered_pair(X18,X19),X13) )
& ( ~ relation(X13)
| X15 != relation_inverse_image(X13,X14)
| ~ in(X16,X15)
| in(esk1_4(X13,X14,X15,X16),X14) )
& ( ~ relation(X13)
| X15 != relation_inverse_image(X13,X14)
| ~ in(X16,X15)
| in(ordered_pair(X16,esk1_4(X13,X14,X15,X16)),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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_1])])])])])])]) ).
cnf(c_0_25,plain,
( ~ empty(X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ in(X1,relation_rng(X2))
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X1,esk6_3(X2,relation_rng(X2),X1)),singleton(esk6_3(X2,relation_rng(X2),X1))),X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_27,plain,
( ~ empty(X1)
| relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X57] :
( ( ~ empty(X57)
| relation(relation_rng(X57)) )
& ( ~ empty(X57)
| empty(relation_rng(X57)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_relat_1])])])]) ).
fof(c_0_29,negated_conjecture,
( ( relation_inverse_image(esk21_0,singleton(esk20_0)) != empty_set
| in(esk20_0,relation_rng(esk21_0)) )
& ( relation_inverse_image(esk21_0,singleton(esk20_0)) = empty_set
| ~ in(esk20_0,relation_rng(esk21_0)) )
& relation(esk21_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_30,plain,
( ~ in(X2,X1)
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( ~ relation(X3)
| X4 != relation_rng(X3)
| ~ in(ordered_pair(X1,X2),X3)
| in(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,plain,
( ~ relation(X1)
| X3 = relation_inverse_image(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| in(ordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( ~ in(X2,relation_rng(X1))
| ~ empty(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_34,plain,
( ~ empty(X1)
| relation(relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( ~ relation(X1)
| X3 = relation_inverse_image(X1,X2)
| in(esk2_3(X1,X2,X3),X3)
| in(esk3_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,negated_conjecture,
relation(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
~ in(X1,empty_set),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]) ).
cnf(c_0_39,plain,
( ~ relation(X3)
| X5 != relation_inverse_image(X3,X4)
| ~ in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| in(X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| X4 != relation_rng(X3)
| in(X2,X4) ),
inference(rw,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_41,plain,
( ~ relation(X1)
| in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = relation_inverse_image(X1,X2) ),
inference(rw,[status(thm)],[c_0_32,c_0_14]) ).
fof(c_0_42,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( X30 = singleton(X29)
| esk4_2(X29,X30) = X29
| in(esk4_2(X29,X30),X30) )
& ( X30 = singleton(X29)
| esk4_2(X29,X30) != X29
| ~ in(esk4_2(X29,X30),X30) )
& ( X26 != singleton(X25)
| in(X28,X26)
| X28 != X25 )
& ( X26 != singleton(X25)
| X27 = X25
| ~ in(X27,X26) ) ),
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)],[d1_tarski])])])])])])]) ).
cnf(c_0_43,plain,
( ~ in(X2,relation_rng(relation_rng(X1)))
| ~ empty(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34]) ).
cnf(c_0_44,negated_conjecture,
( in(esk2_3(esk21_0,X2,X1),X1)
| in(esk3_3(esk21_0,X2,X1),X2)
| X1 = relation_inverse_image(esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
~ in(X1,relation_rng(empty_set)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_38])]) ).
cnf(c_0_46,plain,
( X1 = empty_set
| in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_47,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(X2,X4)
| ~ relation(X3)
| X5 != relation_inverse_image(X3,X4)
| in(X1,X5) ),
inference(rw,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_48,plain,
( ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( ~ relation(X2)
| in(esk2_3(X2,X3,X1),X1)
| in(unordered_pair(singleton(esk2_3(X2,X3,X1)),unordered_pair(esk2_3(X2,X3,X1),esk3_3(X2,X3,X1))),X2)
| X1 = relation_inverse_image(X2,X3) ),
inference(rw,[status(thm)],[c_0_41,c_0_20]) ).
cnf(c_0_50,plain,
( X2 != singleton(X3)
| ~ in(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( ~ empty(X1)
| in(esk3_3(esk21_0,X2,relation_rng(relation_rng(X1))),X2)
| relation_rng(relation_rng(X1)) = relation_inverse_image(esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]) ).
cnf(c_0_53,plain,
relation_rng(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,plain,
( ~ in(X4,X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X2)
| ~ relation(X2)
| in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_20]) ).
cnf(c_0_56,negated_conjecture,
( in(esk2_3(esk21_0,X2,X1),X1)
| in(unordered_pair(singleton(esk2_3(esk21_0,X2,X1)),unordered_pair(esk2_3(esk21_0,X2,X1),esk3_3(esk21_0,X2,X1))),esk21_0)
| X1 = relation_inverse_image(esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_57,plain,
( ~ in(X1,singleton(X2))
| X1 = X2 ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( in(esk3_3(esk21_0,X1,empty_set),X1)
| relation_inverse_image(esk21_0,X1) = empty_set ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_53]),c_0_53]),c_0_53]) ).
cnf(c_0_59,plain,
( ~ in(X4,X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X2)
| ~ relation(X2)
| in(X1,relation_inverse_image(X2,X3)) ),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_60,negated_conjecture,
( in(esk2_3(esk21_0,X2,X1),X1)
| in(esk3_3(esk21_0,X2,X1),relation_rng(esk21_0))
| X1 = relation_inverse_image(esk21_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_36])]) ).
cnf(c_0_61,negated_conjecture,
( relation_inverse_image(esk21_0,singleton(X1)) = empty_set
| esk3_3(esk21_0,singleton(X1),empty_set) = X1 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( ~ in(X2,X3)
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| in(esk6_3(X1,relation_rng(X1),X2),relation_inverse_image(X1,X3)) ),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_63,negated_conjecture,
( ~ in(esk20_0,relation_rng(esk21_0))
| relation_inverse_image(esk21_0,singleton(esk20_0)) = empty_set ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,negated_conjecture,
( relation_inverse_image(esk21_0,singleton(esk20_0)) != empty_set
| in(esk20_0,relation_rng(esk21_0)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_65,negated_conjecture,
( in(X1,relation_rng(esk21_0))
| relation_inverse_image(esk21_0,singleton(X1)) = empty_set ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_37]) ).
cnf(c_0_66,negated_conjecture,
( ~ in(X1,singleton(esk20_0))
| ~ in(X1,relation_rng(esk21_0))
| ~ in(esk20_0,relation_rng(esk21_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_36])]),c_0_37]) ).
cnf(c_0_67,negated_conjecture,
in(esk20_0,relation_rng(esk21_0)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
( X3 != singleton(X2)
| X1 != X2
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_69,negated_conjecture,
( ~ in(X1,singleton(esk20_0))
| ~ in(X1,relation_rng(esk21_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_70,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU061+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 05:48:34 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 22.09/3.77 % Version: 3.5.1
% 22.09/3.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.09/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.09/3.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.09/3.77 % Starting new_bool_3 with 300s (1) cores
% 22.09/3.77 % Starting new_bool_1 with 300s (1) cores
% 22.09/3.77 % Starting sh5l with 300s (1) cores
% 22.09/3.77 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2377269 completed with status 0
% 22.09/3.77 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 22.09/3.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.09/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.09/3.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.09/3.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.09/3.77 % No SInE strategy applied
% 22.09/3.77 % Search class: FGHSM-FFMM31-MFFFFFNN
% 22.09/3.77 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 22.09/3.77 % Starting SubtermCWHack with 136s (1) cores
% 22.09/3.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 22.09/3.77 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 22.09/3.77 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 22.09/3.77 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 22.09/3.77 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2377277 completed with status 0
% 22.09/3.77 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 22.09/3.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.09/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.09/3.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.09/3.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.09/3.77 % No SInE strategy applied
% 22.09/3.77 % Search class: FGHSM-FFMM31-MFFFFFNN
% 22.09/3.77 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 22.09/3.77 % Starting SubtermCWHack with 136s (1) cores
% 22.09/3.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 22.09/3.77 % Preprocessing time : 0.003 s
% 22.09/3.77 % Presaturation interreduction done
% 22.09/3.77
% 22.09/3.77 % Proof found!
% 22.09/3.77 % SZS status Theorem
% 22.09/3.77 % SZS output start CNFRefutation
% See solution above
% 22.09/3.77 % Parsed axioms : 40
% 22.09/3.77 % Removed by relevancy pruning/SinE : 0
% 22.09/3.77 % Initial clauses : 71
% 22.09/3.77 % Removed in clause preprocessing : 3
% 22.09/3.77 % Initial clauses in saturation : 68
% 22.09/3.77 % Processed clauses : 11446
% 22.09/3.77 % ...of these trivial : 3
% 22.09/3.77 % ...subsumed : 10009
% 22.09/3.77 % ...remaining for further processing : 1434
% 22.09/3.77 % Other redundant clauses eliminated : 12
% 22.09/3.77 % Clauses deleted for lack of memory : 0
% 22.09/3.77 % Backward-subsumed : 191
% 22.09/3.77 % Backward-rewritten : 17
% 22.09/3.77 % Generated clauses : 113972
% 22.09/3.77 % ...of the previous two non-redundant : 98963
% 22.09/3.77 % ...aggressively subsumed : 0
% 22.09/3.77 % Contextual simplify-reflections : 84
% 22.09/3.77 % Paramodulations : 113959
% 22.09/3.77 % Factorizations : 2
% 22.09/3.77 % NegExts : 0
% 22.09/3.77 % Equation resolutions : 12
% 22.09/3.77 % Disequality decompositions : 0
% 22.09/3.77 % Total rewrite steps : 81989
% 22.09/3.77 % ...of those cached : 81926
% 22.09/3.77 % Propositional unsat checks : 0
% 22.09/3.77 % Propositional check models : 0
% 22.09/3.77 % Propositional check unsatisfiable : 0
% 22.09/3.77 % Propositional clauses : 0
% 22.09/3.77 % Propositional clauses after purity: 0
% 22.09/3.77 % Propositional unsat core size : 0
% 22.09/3.77 % Propositional preprocessing time : 0.000
% 22.09/3.77 % Propositional encoding time : 0.000
% 22.09/3.77 % Propositional solver time : 0.000
% 22.09/3.77 % Success case prop preproc time : 0.000
% 22.09/3.77 % Success case prop encoding time : 0.000
% 22.09/3.77 % Success case prop solver time : 0.000
% 22.09/3.77 % Current number of processed clauses : 1154
% 22.09/3.77 % Positive orientable unit clauses : 40
% 22.09/3.77 % Positive unorientable unit clauses: 1
% 22.09/3.77 % Negative unit clauses : 12
% 22.09/3.77 % Non-unit-clauses : 1101
% 22.09/3.77 % Current number of unprocessed clauses: 86155
% 22.09/3.77 % ...number of literals in the above : 381599
% 22.09/3.77 % Current number of archived formulas : 0
% 22.09/3.77 % Current number of archived clauses : 273
% 22.09/3.77 % Clause-clause subsumption calls (NU) : 440448
% 22.09/3.77 % Rec. Clause-clause subsumption calls : 248357
% 22.09/3.77 % Non-unit clause-clause subsumptions : 5013
% 22.09/3.77 % Unit Clause-clause subsumption calls : 1077
% 22.09/3.77 % Rewrite failures with RHS unbound : 0
% 22.09/3.77 % BW rewrite match attempts : 20
% 22.09/3.77 % BW rewrite match successes : 16
% 22.09/3.77 % Condensation attempts : 0
% 22.09/3.77 % Condensation successes : 0
% 22.09/3.77 % Termbank termtop insertions : 1857285
% 22.09/3.77 % Search garbage collected termcells : 880
% 22.09/3.77
% 22.09/3.77 % -------------------------------------------------
% 22.09/3.77 % User time : 3.053 s
% 22.09/3.77 % System time : 0.097 s
% 22.09/3.77 % Total time : 3.150 s
% 22.09/3.77 % Maximum resident set size: 3664 pages
% 22.09/3.77
% 22.09/3.77 % -------------------------------------------------
% 22.09/3.77 % User time : 15.312 s
% 22.09/3.77 % System time : 0.539 s
% 22.09/3.77 % Total time : 15.851 s
% 22.09/3.77 % Maximum resident set size: 4864 pages
% 22.09/3.77 % E exiting
%------------------------------------------------------------------------------