%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL476+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:12:52 PM UTC 2026
% Result : Theorem 120.79s 31.18s
% Output : CNFRefutation 120.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 16
% Syntax : Number of formulae : 100 ( 47 unt; 0 def)
% Number of atoms : 179 ( 12 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 144 ( 65 ~; 62 |; 8 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 186 ( 33 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(modus_ponens,axiom,
( modus_ponens
<=> ! [X1,X2] :
( ( is_a_theorem(implies(X1,X2))
& is_a_theorem(X1) )
=> is_a_theorem(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
fof(cn1,axiom,
( cn1
<=> ! [X4,X5,X6] : is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',cn1) ).
fof(luka_modus_ponens,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_modus_ponens) ).
fof(luka_cn1,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_cn1) ).
fof(cn2,axiom,
( cn2
<=> ! [X4,X5] : is_a_theorem(implies(X4,implies(not(X4),X5))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',cn2) ).
fof(luka_cn2,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_cn2) ).
fof(cn3,axiom,
( cn3
<=> ! [X4] : is_a_theorem(implies(implies(not(X4),X4),X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',cn3) ).
fof(luka_cn3,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_cn3) ).
fof(op_implies_or,axiom,
( op_implies_or
=> ! [X1,X2] : implies(X1,X2) = or(not(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_or) ).
fof(op_and,axiom,
( op_and
=> ! [X1,X2] : and(X1,X2) = not(or(not(X1),not(X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_and) ).
fof(principia_op_implies_or,axiom,
op_implies_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(op_or,axiom,
( op_or
=> ! [X1,X2] : or(X1,X2) = not(and(not(X1),not(X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_or) ).
fof(principia_op_and,axiom,
op_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).
fof(luka_op_or,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+3.ax',luka_op_or) ).
fof(principia_r2,conjecture,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(r2,axiom,
( r2
<=> ! [X4,X5] : is_a_theorem(implies(X5,or(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r2) ).
fof(c_0_16,plain,
! [X7,X8] :
( ( modus_ponens
| ~ is_a_theorem(esk2_0) )
& ( modus_ponens
| is_a_theorem(implies(esk1_0,esk2_0)) )
& ( modus_ponens
| is_a_theorem(esk1_0) )
& ( is_a_theorem(X8)
| ~ is_a_theorem(implies(X7,X8))
| ~ is_a_theorem(X7)
| ~ modus_ponens ) ),
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)],[modus_ponens])])])])])]) ).
fof(c_0_17,plain,
! [X83,X84,X85] :
( ( cn1
| ~ is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0)))) )
& ( is_a_theorem(implies(implies(X83,X84),implies(implies(X84,X85),implies(X83,X85))))
| ~ cn1 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn1])])])])]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1)
| ~ modus_ponens
| is_a_theorem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
modus_ponens,
inference(split_conjunct,[status(thm)],[luka_modus_ponens]) ).
cnf(c_0_20,plain,
( ~ cn1
| is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
cn1,
inference(split_conjunct,[status(thm)],[luka_cn1]) ).
fof(c_0_22,plain,
! [X89,X90] :
( ( cn2
| ~ is_a_theorem(implies(esk42_0,implies(not(esk42_0),esk43_0))) )
& ( is_a_theorem(implies(X89,implies(not(X89),X90)))
| ~ cn2 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn2])])])])]) ).
cnf(c_0_23,plain,
( ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_25,plain,
( ~ cn2
| is_a_theorem(implies(X1,implies(not(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
cn2,
inference(split_conjunct,[status(thm)],[luka_cn2]) ).
cnf(c_0_27,plain,
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
fof(c_0_31,plain,
! [X93] :
( ( cn3
| ~ is_a_theorem(implies(implies(not(esk44_0),esk44_0),esk44_0)) )
& ( is_a_theorem(implies(implies(not(X93),X93),X93))
| ~ cn3 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn3])])])])]) ).
cnf(c_0_32,plain,
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_33,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X1,X2),implies(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_34,plain,
( ~ cn3
| is_a_theorem(implies(implies(not(X1),X1),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
cn3,
inference(split_conjunct,[status(thm)],[luka_cn3]) ).
cnf(c_0_36,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,implies(not(X2),X3))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_38,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X4,X3))) ),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_40,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(not(X3),X4),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_41,plain,
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_42,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,plain,
( ~ is_a_theorem(implies(implies(not(X2),X4),X3))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_44,plain,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(not(X3),X3))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
cnf(c_0_46,plain,
( ~ is_a_theorem(implies(implies(X3,X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_48,plain,
( ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X2),X2))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_41]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_50,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_52,plain,
( ~ is_a_theorem(implies(implies(implies(not(X2),X2),X2),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X2),X3))) ),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_54,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1),X1),X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_55,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_57,plain,
( ~ is_a_theorem(implies(not(X1),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_56]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2)),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,plain,
( ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X1,X2),implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
cnf(c_0_63,plain,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_61]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_32,c_0_62]) ).
cnf(c_0_65,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(not(X1),X4),X2),X3))),
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_66,plain,
( ~ is_a_theorem(implies(implies(implies(X3,X1),X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
( ~ is_a_theorem(implies(implies(X1,X3),X4))
| is_a_theorem(implies(implies(implies(not(X1),X2),X3),X4)) ),
inference(spm,[status(thm)],[c_0_23,c_0_65]) ).
fof(c_0_68,plain,
! [X123,X124] :
( implies(X123,X124) = or(not(X123),X124)
| ~ op_implies_or ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_implies_or])])])]) ).
cnf(c_0_69,plain,
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
fof(c_0_71,plain,
! [X119,X120] :
( and(X119,X120) = not(or(not(X119),not(X120)))
| ~ op_and ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_and])])])]) ).
cnf(c_0_72,plain,
( ~ op_implies_or
| implies(X1,X2) = or(not(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,plain,
op_implies_or,
inference(split_conjunct,[status(thm)],[principia_op_implies_or]) ).
cnf(c_0_74,plain,
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_60]) ).
cnf(c_0_75,plain,
is_a_theorem(implies(not(X1),implies(X1,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X117,X118] :
( or(X117,X118) = not(and(not(X117),not(X118)))
| ~ op_or ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[op_or])])])]) ).
cnf(c_0_77,plain,
( ~ op_and
| and(X1,X2) = not(or(not(X1),not(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
or(not(X1),X2) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
cnf(c_0_79,plain,
op_and,
inference(split_conjunct,[status(thm)],[principia_op_and]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(not(not(implies(X1,X2))),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
( ~ op_or
| or(X1,X2) = not(and(not(X1),not(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
and(X1,X2) = not(implies(X1,not(X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_83,plain,
op_or,
inference(split_conjunct,[status(thm)],[luka_op_or]) ).
cnf(c_0_84,plain,
is_a_theorem(implies(not(not(implies(not(X1),X1))),X1)),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_85,plain,
not(not(implies(not(X1),not(not(X2))))) = or(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
fof(c_0_86,negated_conjecture,
~ r2,
inference(assume_negation,[status(cth)],[principia_r2]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(implies(not(X1),X1),not(not(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_78]) ).
fof(c_0_88,negated_conjecture,
~ r2,
inference(fof_simplification,[status(thm)],[c_0_86]) ).
cnf(c_0_89,plain,
is_a_theorem(implies(X1,not(not(X1)))),
inference(spm,[status(thm)],[c_0_32,c_0_87]) ).
fof(c_0_90,plain,
! [X97,X98] :
( ( r2
| ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0))) )
& ( is_a_theorem(implies(X98,or(X97,X98)))
| ~ r2 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])]) ).
fof(c_0_91,negated_conjecture,
~ r2,
inference(fof_nnf,[status(thm)],[c_0_88]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(X1,not(not(implies(X2,X1))))),
inference(spm,[status(thm)],[c_0_69,c_0_89]) ).
cnf(c_0_93,plain,
( ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))
| r2 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_94,negated_conjecture,
~ r2,
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_95,plain,
( ~ is_a_theorem(implies(not(not(X1)),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_89]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(not(not(X1)),or(X2,X1))),
inference(spm,[status(thm)],[c_0_92,c_0_85]) ).
cnf(c_0_97,plain,
~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0))),
inference(sr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(X1,or(X2,X1))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL476+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.67 % Computer : n002.cluster.edu
% 0.20/0.67 % Model : x86_64 x86_64
% 0.20/0.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.67 % Memory : 8046.5625MB
% 0.20/0.67 % OS : Linux 6.8.0-71-generic
% 0.20/0.67 % CPULimit : 300
% 0.20/0.67 % WCLimit : 300
% 0.20/0.67 % DateTime : Mon Sep 21 00:37:19 UTC 2026
% 0.20/0.68 % CPUTime :
% 0.20/0.68 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.75 Running first-order theorem proving
% 0.25/0.75 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
% 120.79/31.18 % Version: 3.5.1
% 120.79/31.18 % Preprocessing class: FSMSSLSSSSSNFFN.
% 120.79/31.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 120.79/31.18 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 120.79/31.18 % Starting new_bool_3 with 300s (1) cores
% 120.79/31.18 % Starting new_bool_1 with 300s (1) cores
% 120.79/31.18 % Starting sh5l with 300s (1) cores
% 120.79/31.18 % new_bool_3 with pid 2075393 completed with status 9
% 120.79/31.18 % sh5l with pid 2075395 completed with status 9
% 120.79/31.18 % new_bool_1 with pid 2075394 completed with status 9
% 120.79/31.18 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 2075392 completed with status 0
% 120.79/31.18 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 120.79/31.18 % Preprocessing class: FSMSSLSSSSSNFFN.
% 120.79/31.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 120.79/31.18 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 120.79/31.18 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 120.79/31.18 % No SInE strategy applied
% 120.79/31.18 % Search class: FGUSF-FFMM21-MFFFFFNN
% 120.79/31.18 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 120.79/31.18 % Starting SubtermCWHack with 151s (1) cores
% 120.79/31.18 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 120.79/31.18 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 120.79/31.18 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 120.79/31.18 % Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 120.79/31.18 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 2075407 completed with status 0
% 120.79/31.18 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 120.79/31.18 % Preprocessing class: FSMSSLSSSSSNFFN.
% 120.79/31.18 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 120.79/31.18 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 120.79/31.18 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 120.79/31.18 % No SInE strategy applied
% 120.79/31.18 % Search class: FGUSF-FFMM21-MFFFFFNN
% 120.79/31.18 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 120.79/31.18 % Starting SubtermCWHack with 151s (1) cores
% 120.79/31.18 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 120.79/31.18 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 120.79/31.18 % Preprocessing time : 0.003 s
% 120.79/31.18 % Presaturation interreduction done
% 120.79/31.18
% 120.79/31.18 % Proof found!
% 120.79/31.18 % SZS status Theorem
% 120.79/31.18 % SZS output start CNFRefutation
% See solution above
% 120.79/31.18 % Parsed axioms : 43
% 120.79/31.18 % Removed by relevancy pruning/SinE : 0
% 120.79/31.18 % Initial clauses : 72
% 120.79/31.18 % Removed in clause preprocessing : 0
% 120.79/31.18 % Initial clauses in saturation : 72
% 120.79/31.18 % Processed clauses : 27155
% 120.79/31.18 % ...of these trivial : 851
% 120.79/31.18 % ...subsumed : 22847
% 120.79/31.18 % ...remaining for further processing : 3457
% 120.79/31.18 % Other redundant clauses eliminated : 0
% 120.79/31.18 % Clauses deleted for lack of memory : 0
% 120.79/31.18 % Backward-subsumed : 138
% 120.79/31.18 % Backward-rewritten : 225
% 120.79/31.18 % Generated clauses : 1078892
% 120.79/31.18 % ...of the previous two non-redundant : 1013689
% 120.79/31.18 % ...aggressively subsumed : 0
% 120.79/31.18 % Contextual simplify-reflections : 0
% 120.79/31.18 % Paramodulations : 1078892
% 120.79/31.18 % Factorizations : 0
% 120.79/31.18 % NegExts : 0
% 120.79/31.18 % Equation resolutions : 0
% 120.79/31.18 % Disequality decompositions : 0
% 120.79/31.18 % Total rewrite steps : 237921
% 120.79/31.18 % ...of those cached : 200486
% 120.79/31.18 % Propositional unsat checks : 0
% 120.79/31.18 % Propositional check models : 0
% 120.79/31.18 % Propositional check unsatisfiable : 0
% 120.79/31.18 % Propositional clauses : 0
% 120.79/31.18 % Propositional clauses after purity: 0
% 120.79/31.18 % Propositional unsat core size : 0
% 120.79/31.18 % Propositional preprocessing time : 0.000
% 120.79/31.18 % Propositional encoding time : 0.000
% 120.79/31.18 % Propositional solver time : 0.000
% 120.79/31.18 % Success case prop preproc time : 0.000
% 120.79/31.18 % Success case prop encoding time : 0.000
% 120.79/31.18 % Success case prop solver time : 0.000
% 120.79/31.18 % Current number of processed clauses : 3033
% 120.79/31.18 % Positive orientable unit clauses : 1285
% 120.79/31.18 % Positive unorientable unit clauses: 55
% 120.79/31.18 % Negative unit clauses : 5
% 120.79/31.18 % Non-unit-clauses : 1688
% 120.79/31.18 % Current number of unprocessed clauses: 933467
% 120.79/31.18 % ...number of literals in the above : 1522570
% 120.79/31.18 % Current number of archived formulas : 0
% 120.79/31.18 % Current number of archived clauses : 424
% 120.79/31.18 % Clause-clause subsumption calls (NU) : 1179111
% 120.79/31.18 % Rec. Clause-clause subsumption calls : 1178005
% 120.79/31.18 % Non-unit clause-clause subsumptions : 22973
% 120.79/31.18 % Unit Clause-clause subsumption calls : 119193
% 120.79/31.18 % Rewrite failures with RHS unbound : 0
% 120.79/31.18 % BW rewrite match attempts : 322511
% 120.79/31.18 % BW rewrite match successes : 261
% 120.79/31.18 % Condensation attempts : 0
% 120.79/31.18 % Condensation successes : 0
% 120.79/31.18 % Termbank termtop insertions : 34004710
% 120.79/31.18 % Search garbage collected termcells : 1092
% 120.79/31.18
% 120.79/31.18 % -------------------------------------------------
% 120.79/31.18 % User time : 28.900 s
% 120.79/31.18 % System time : 1.043 s
% 120.79/31.18 % Total time : 29.943 s
% 120.79/31.18 % Maximum resident set size: 3688 pages
% 120.79/31.18
% 120.79/31.18 % -------------------------------------------------
% 120.79/31.18 % User time : 145.227 s
% 120.79/31.18 % System time : 5.533 s
% 120.79/31.18 % Total time : 150.760 s
% 120.79/31.18 % Maximum resident set size: 4608 pages
% 120.79/31.18 % E exiting
%------------------------------------------------------------------------------