%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU191+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 : n014.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 02:24:11 PM UTC 2026
% Result : Theorem 21.01s 3.69s
% Output : CNFRefutation 21.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 230 ( 45 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 309 ( 135 ~; 143 |; 18 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-5 aty)
% Number of variables : 147 ( 10 sgn 46 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = identity_relation(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( X3 = X4
& in(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X6,X5),X2)
& in(ordered_pair(X4,X6),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X2)
& relation(X1) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(t74_relat_1,conjecture,
! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(ordered_pair(X1,X2),X4)
& in(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_relat_1) ).
fof(c_0_7,plain,
! [X12,X13,X14,X15,X16,X17] :
( ( ~ relation(X13)
| X13 = identity_relation(X12)
| in(ordered_pair(esk1_2(X12,X13),esk2_2(X12,X13)),X13)
| esk1_2(X12,X13) = esk2_2(X12,X13) )
& ( ~ relation(X13)
| X13 = identity_relation(X12)
| in(ordered_pair(esk1_2(X12,X13),esk2_2(X12,X13)),X13)
| in(esk1_2(X12,X13),X12) )
& ( ~ relation(X13)
| X13 = identity_relation(X12)
| esk1_2(X12,X13) != esk2_2(X12,X13)
| ~ in(esk1_2(X12,X13),X12)
| ~ in(ordered_pair(esk1_2(X12,X13),esk2_2(X12,X13)),X13) )
& ( ~ relation(X13)
| X13 != identity_relation(X12)
| in(ordered_pair(X16,X17),X13)
| X16 != X17
| ~ in(X16,X12) )
& ( ~ relation(X13)
| X13 != identity_relation(X12)
| ~ in(ordered_pair(X14,X15),X13)
| X14 = X15 )
& ( ~ relation(X13)
| X13 != identity_relation(X12)
| ~ in(ordered_pair(X14,X15),X13)
| in(X14,X12) ) ),
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)],[d10_relat_1])])])])])])]) ).
fof(c_0_8,plain,
! [X20,X21] : ordered_pair(X20,X21) = unordered_pair(unordered_pair(X20,X21),singleton(X20)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_9,plain,
( ~ relation(X4)
| X4 != identity_relation(X2)
| ~ in(ordered_pair(X1,X3),X4)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X37] : relation(identity_relation(X37)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_12,plain,
! [X22,X23,X24,X25,X26,X28,X29,X30,X33] :
( ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 = relation_composition(X22,X23)
| in(ordered_pair(esk4_3(X22,X23,X24),esk5_3(X22,X23,X24)),X24)
| in(ordered_pair(esk6_3(X22,X23,X24),esk5_3(X22,X23,X24)),X23) )
& ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 = relation_composition(X22,X23)
| in(ordered_pair(esk4_3(X22,X23,X24),esk5_3(X22,X23,X24)),X24)
| in(ordered_pair(esk4_3(X22,X23,X24),esk6_3(X22,X23,X24)),X22) )
& ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 = relation_composition(X22,X23)
| ~ in(ordered_pair(X33,esk5_3(X22,X23,X24)),X23)
| ~ in(ordered_pair(esk4_3(X22,X23,X24),X33),X22)
| ~ in(ordered_pair(esk4_3(X22,X23,X24),esk5_3(X22,X23,X24)),X24) )
& ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 != relation_composition(X22,X23)
| in(ordered_pair(X28,X29),X24)
| ~ in(ordered_pair(X30,X29),X23)
| ~ in(ordered_pair(X28,X30),X22) )
& ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 != relation_composition(X22,X23)
| ~ in(ordered_pair(X25,X26),X24)
| in(ordered_pair(esk3_5(X22,X23,X24,X25,X26),X26),X23) )
& ( ~ relation(X22)
| ~ relation(X23)
| ~ relation(X24)
| X24 != relation_composition(X22,X23)
| ~ in(ordered_pair(X25,X26),X24)
| in(ordered_pair(X25,esk3_5(X22,X23,X24,X25,X26)),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)],[d8_relat_1])])])])])])]) ).
cnf(c_0_13,plain,
( ~ relation(X3)
| X3 != identity_relation(X4)
| ~ in(ordered_pair(X1,X2),X3)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4)
| ~ relation(X4)
| X4 != identity_relation(X2)
| in(X1,X2) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X10,X11] : unordered_pair(X10,X11) = unordered_pair(X11,X10),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_17,plain,
( ~ relation(X2)
| ~ relation(X3)
| ~ relation(X4)
| X4 != relation_composition(X2,X3)
| ~ in(ordered_pair(X1,X5),X4)
| in(ordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X35,X36] :
( relation(relation_composition(X35,X36))
| ~ relation(X36)
| ~ relation(X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])])]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(ordered_pair(X1,X2),X4)
& in(X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[t74_relat_1]) ).
cnf(c_0_20,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| X3 != identity_relation(X4)
| X1 = X2 ),
inference(rw,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_21,plain,
( ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),identity_relation(X2))
| in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15])]) ).
cnf(c_0_22,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(X4)
| X4 != relation_composition(X2,X3)
| in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),singleton(X1)),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_10]) ).
cnf(c_0_24,plain,
( ~ relation(X2)
| ~ relation(X1)
| relation(relation_composition(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,negated_conjecture,
( ( in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| in(ordered_pair(esk12_0,esk13_0),esk15_0) )
& ( in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| in(esk12_0,esk14_0) )
& ( ~ in(ordered_pair(esk12_0,esk13_0),esk15_0)
| ~ in(esk12_0,esk14_0)
| ~ in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) )
& relation(esk15_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
cnf(c_0_26,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),identity_relation(X3))
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_15])]) ).
cnf(c_0_27,plain,
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),identity_relation(X2))
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22])]),c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| in(esk12_0,esk14_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| ~ in(ordered_pair(X4,X5),X3)
| in(ordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),identity_relation(X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| in(ordered_pair(esk12_0,esk13_0),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(ordered_pair(esk12_0,esk13_0),esk15_0)
| ~ in(esk12_0,esk14_0)
| ~ in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(identity_relation(X2),X3))
| ~ relation(X3)
| in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15])]) ).
cnf(c_0_35,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0))
| in(esk12_0,esk14_0) ),
inference(rw,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_36,negated_conjecture,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation(X3)
| X3 != relation_composition(X1,X2)
| in(unordered_pair(unordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),singleton(esk3_5(X1,X2,X3,X4,X5))),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_10]),c_0_10]) ).
cnf(c_0_38,plain,
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(identity_relation(X1),X2))
| ~ relation(X2)
| esk3_5(identity_relation(X1),X2,relation_composition(identity_relation(X1),X2),X3,X4) = X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_15])]) ).
cnf(c_0_39,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0))
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_10]),c_0_10]) ).
cnf(c_0_40,plain,
( ~ relation(X3)
| ~ relation(X5)
| ~ relation(X6)
| X6 != relation_composition(X3,X5)
| ~ in(ordered_pair(X2,X4),X5)
| ~ in(ordered_pair(X1,X2),X3)
| in(ordered_pair(X1,X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(esk12_0,esk14_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_10]),c_0_10]) ).
cnf(c_0_42,negated_conjecture,
in(esk12_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_43,plain,
( ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3))
| ~ relation(X2)
| ~ relation(X3)
| in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk3_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_22])]),c_0_24]) ).
cnf(c_0_44,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| esk3_5(identity_relation(esk14_0),esk15_0,relation_composition(identity_relation(esk14_0),esk15_0),esk12_0,esk13_0) = esk12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).
cnf(c_0_45,plain,
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X6)
| X6 != relation_composition(X3,X5)
| in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X6) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_46,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_47,negated_conjecture,
in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_15])]),c_0_22])]),c_0_39]) ).
cnf(c_0_48,plain,
( ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3)
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X4)
| ~ relation(X3)
| ~ relation(X4)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_24]) ).
cnf(c_0_49,plain,
( ~ relation(X4)
| X4 != identity_relation(X2)
| X1 != X3
| ~ in(X1,X2)
| in(ordered_pair(X1,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_50,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),X2)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X1,esk13_0),singleton(X1)),relation_composition(X2,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_36])]) ).
cnf(c_0_52,plain,
( ~ in(X1,X2)
| ~ relation(X4)
| X4 != identity_relation(X2)
| X1 != X3
| in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4) ),
inference(rw,[status(thm)],[c_0_49,c_0_10]) ).
cnf(c_0_53,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk12_0),singleton(esk12_0)),identity_relation(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_15])]) ).
cnf(c_0_54,plain,
( ~ in(X1,X2)
| in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),identity_relation(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]),c_0_15])]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU191+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:56:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 21.01/3.69 % Version: 3.5.1
% 21.01/3.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 21.01/3.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.01/3.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.01/3.69 % Starting new_bool_3 with 300s (1) cores
% 21.01/3.69 % Starting new_bool_1 with 300s (1) cores
% 21.01/3.69 % Starting sh5l with 300s (1) cores
% 21.01/3.69 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3288000 completed with status 0
% 21.01/3.69 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 21.01/3.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 21.01/3.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.01/3.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.01/3.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.01/3.69 % No SInE strategy applied
% 21.01/3.69 % Search class: FGHSS-FFMM32-MFFFFFNN
% 21.01/3.69 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 21.01/3.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.01/3.69 % Starting SubtermCWHack with 136s (1) cores
% 21.01/3.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 21.01/3.69 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 21.01/3.69 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 21.01/3.69 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 21.01/3.69 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3288006 completed with status 0
% 21.01/3.69 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 21.01/3.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 21.01/3.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.01/3.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.01/3.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.01/3.69 % No SInE strategy applied
% 21.01/3.69 % Search class: FGHSS-FFMM32-MFFFFFNN
% 21.01/3.69 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 21.01/3.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.01/3.69 % Starting SubtermCWHack with 136s (1) cores
% 21.01/3.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 21.01/3.69 % Preprocessing time : 0.003 s
% 21.01/3.69 % Presaturation interreduction done
% 21.01/3.69
% 21.01/3.69 % Proof found!
% 21.01/3.69 % SZS status Theorem
% 21.01/3.69 % SZS output start CNFRefutation
% See solution above
% 21.01/3.69 % Parsed axioms : 31
% 21.01/3.69 % Removed by relevancy pruning/SinE : 0
% 21.01/3.69 % Initial clauses : 49
% 21.01/3.69 % Removed in clause preprocessing : 6
% 21.01/3.69 % Initial clauses in saturation : 43
% 21.01/3.69 % Processed clauses : 17711
% 21.01/3.69 % ...of these trivial : 27
% 21.01/3.69 % ...subsumed : 16603
% 21.01/3.69 % ...remaining for further processing : 1081
% 21.01/3.69 % Other redundant clauses eliminated : 7
% 21.01/3.69 % Clauses deleted for lack of memory : 0
% 21.01/3.69 % Backward-subsumed : 189
% 21.01/3.69 % Backward-rewritten : 45
% 21.01/3.69 % Generated clauses : 85551
% 21.01/3.69 % ...of the previous two non-redundant : 80838
% 21.01/3.69 % ...aggressively subsumed : 0
% 21.01/3.69 % Contextual simplify-reflections : 109
% 21.01/3.69 % Paramodulations : 85543
% 21.01/3.69 % Factorizations : 2
% 21.01/3.69 % NegExts : 0
% 21.01/3.69 % Equation resolutions : 7
% 21.01/3.69 % Disequality decompositions : 0
% 21.01/3.69 % Total rewrite steps : 33555
% 21.01/3.69 % ...of those cached : 33513
% 21.01/3.69 % Propositional unsat checks : 0
% 21.01/3.69 % Propositional check models : 0
% 21.01/3.69 % Propositional check unsatisfiable : 0
% 21.01/3.69 % Propositional clauses : 0
% 21.01/3.69 % Propositional clauses after purity: 0
% 21.01/3.69 % Propositional unsat core size : 0
% 21.01/3.69 % Propositional preprocessing time : 0.000
% 21.01/3.69 % Propositional encoding time : 0.000
% 21.01/3.69 % Propositional solver time : 0.000
% 21.01/3.69 % Success case prop preproc time : 0.000
% 21.01/3.69 % Success case prop encoding time : 0.000
% 21.01/3.69 % Success case prop solver time : 0.000
% 21.01/3.69 % Current number of processed clauses : 800
% 21.01/3.69 % Positive orientable unit clauses : 14
% 21.01/3.69 % Positive unorientable unit clauses: 1
% 21.01/3.69 % Negative unit clauses : 15
% 21.01/3.69 % Non-unit-clauses : 770
% 21.01/3.69 % Current number of unprocessed clauses: 62177
% 21.01/3.69 % ...number of literals in the above : 306990
% 21.01/3.69 % Current number of archived formulas : 0
% 21.01/3.69 % Current number of archived clauses : 276
% 21.01/3.69 % Clause-clause subsumption calls (NU) : 847951
% 21.01/3.69 % Rec. Clause-clause subsumption calls : 242173
% 21.01/3.69 % Non-unit clause-clause subsumptions : 10523
% 21.01/3.69 % Unit Clause-clause subsumption calls : 2521
% 21.01/3.69 % Rewrite failures with RHS unbound : 0
% 21.01/3.69 % BW rewrite match attempts : 20
% 21.01/3.69 % BW rewrite match successes : 20
% 21.01/3.69 % Condensation attempts : 0
% 21.01/3.69 % Condensation successes : 0
% 21.01/3.69 % Termbank termtop insertions : 1580508
% 21.01/3.69 % Search garbage collected termcells : 700
% 21.01/3.69
% 21.01/3.69 % -------------------------------------------------
% 21.01/3.69 % User time : 3.014 s
% 21.01/3.69 % System time : 0.093 s
% 21.01/3.69 % Total time : 3.107 s
% 21.01/3.69 % Maximum resident set size: 3656 pages
% 21.01/3.69
% 21.01/3.69 % -------------------------------------------------
% 21.01/3.69 % User time : 14.605 s
% 21.01/3.69 % System time : 0.399 s
% 21.01/3.69 % Total time : 15.003 s
% 21.01/3.69 % Maximum resident set size: 4864 pages
% 21.01/3.69 % E exiting
%------------------------------------------------------------------------------