%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM842+2 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:58:41 PM UTC 2026
% Result : Theorem 2.01s 1.85s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 97 ( 36 unt; 0 def)
% Number of atoms : 185 ( 83 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 157 ( 69 ~; 68 |; 12 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 175 ( 24 sgn 81 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X67] : vsucc(X67) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X59,X60] :
( vplus(X59,vsucc(X60)) = vsucc(vplus(X59,X60))
& vplus(X59,v1) = vsucc(X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X56,X57,X58] : vplus(vplus(X56,X57),X58) = vplus(X56,vplus(X57,X58)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X61] :
( X61 != v1
=> X61 = vsucc(vskolem2(X61)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X51,X52] : vplus(X52,X51) = vplus(X51,X52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X11,X12] : greater(vplus(X11,X12),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('holds(conseq(218), 361, 0)',conjecture,
greater(vplus(vd353,vd355),vplus(vd354,vd356)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(218), 361, 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X1,X2,X3,X4] :
( ( greater(X3,X4)
& greater(X1,X2) )
=> greater(vplus(X1,X3),vplus(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X28,X29] :
( geq(X29,X28)
<=> ( greater(X29,X28)
| X29 = X28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('dis(antec(218))',axiom,
( ( greater(vd355,vd356)
& geq(vd353,vd354) )
| ( geq(vd355,vd356)
& greater(vd353,vd354) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(antec(218))') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X39,X40] :
( greater(X40,X39)
<=> ? [X41] : X40 = vplus(X39,X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X42,X43] :
( X42 != X43
| ~ ? [X45] : X43 = vplus(X42,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X5,X6,X7] :
( greater(vplus(X5,X7),vplus(X6,X7))
=> greater(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X46,X47] :
( X46 != X47
=> ! [X48] : vplus(X48,X46) != vplus(X48,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X34,X35] :
( X34 != X35
| ~ greater(X34,X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X8,X9,X10] :
( greater(X8,X9)
=> greater(vplus(X8,X10),vplus(X9,X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X36,X37] :
( less(X37,X36)
<=> ? [X38] : X36 = vplus(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X42,X43] :
( X42 = X43
| ? [X44] : X42 = vplus(X43,X44)
| ? [X45] : X43 = vplus(X42,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(c_0_18,plain,
! [X263] : vsucc(X263) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(c_0_19,plain,
! [X255,X256] :
( vplus(X255,vsucc(X256)) = vsucc(vplus(X255,X256))
& vplus(X255,v1) = vsucc(X255) ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).
cnf(c_0_20,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X252,X253,X254] : vplus(vplus(X252,X253),X254) = vplus(X252,vplus(X253,X254)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
fof(c_0_23,plain,
! [X257] :
( X257 = v1
| X257 = vsucc(vskolem2(X257)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
cnf(c_0_24,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X247,X248] : vplus(X248,X247) = vplus(X247,X248),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
cnf(c_0_27,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
vplus(X1,vplus(X2,v1)) != v1,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
fof(c_0_31,plain,
! [X185,X186] : greater(vplus(X185,X186),X185),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(c_0_32,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(218), 361, 0)'])]) ).
fof(c_0_33,plain,
! [X163,X164,X165,X166] :
( ~ greater(X165,X166)
| ~ greater(X163,X164)
| greater(vplus(X163,X165),vplus(X164,X166)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(c_0_34,plain,
! [X202,X203] :
( ( ~ geq(X203,X202)
| greater(X203,X202)
| X203 = X202 )
& ( ~ greater(X203,X202)
| geq(X203,X202) )
& ( X203 != X202
| geq(X203,X202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(c_0_35,plain,
( ( geq(vd355,vd356)
| greater(vd355,vd356) )
& ( greater(vd353,vd354)
| greater(vd355,vd356) )
& ( geq(vd355,vd356)
| geq(vd353,vd354) )
& ( greater(vd353,vd354)
| geq(vd353,vd354) ) ),
inference(distribute,[status(thm)],['dis(antec(218))']) ).
cnf(c_0_36,plain,
vplus(X1,vplus(v1,X2)) != v1,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( vplus(v1,vskolem2(X1)) = X1
| X1 = v1 ),
inference(rw,[status(thm)],[c_0_30,c_0_29]) ).
fof(c_0_38,plain,
! [X222,X223,X225,X226,X227] :
( ( ~ greater(X223,X222)
| X223 = vplus(X222,esk2_2(X222,X223)) )
& ( X226 != vplus(X225,X227)
| greater(X226,X225) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])]) ).
cnf(c_0_39,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( geq(vd355,vd356)
| greater(vd355,vd356) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( X1 = v1
| vplus(X2,X1) != v1 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X232,X233,X234] :
( X232 != X233
| X233 != vplus(X232,X234) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
cnf(c_0_47,plain,
greater(vplus(X1,X2),X2),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( ~ greater(vd353,vd354)
| ~ greater(vd355,vd356) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( vd356 = vd355
| greater(vd355,vd356) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( greater(vd353,vd354)
| geq(vd353,vd354) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_51,plain,
! [X173,X174,X175] :
( ~ greater(vplus(X173,X175),vplus(X174,X175))
| greater(X173,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
cnf(c_0_52,plain,
( esk2_2(X1,v1) = v1
| ~ greater(v1,X1) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]) ).
fof(c_0_53,plain,
! [X242,X243,X244] :
( X242 = X243
| vplus(X244,X242) != vplus(X244,X243) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
cnf(c_0_54,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
greater(vplus(X1,vplus(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_47,c_0_25]) ).
cnf(c_0_56,negated_conjecture,
( vd356 = vd355
| ~ greater(vd353,vd354) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( vd354 = vd353
| greater(vd353,vd354) ),
inference(spm,[status(thm)],[c_0_42,c_0_50]) ).
fof(c_0_58,plain,
! [X34,X35] :
( X34 != X35
| ~ greater(X34,X35) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
cnf(c_0_59,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
~ greater(v1,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_24]) ).
cnf(c_0_61,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
greater(vplus(X1,vplus(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_64,negated_conjecture,
( vd354 = vd353
| vd356 = vd355 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_65,plain,
! [X182,X183,X184] :
( ~ greater(X182,X183)
| greater(vplus(X182,X184),vplus(X183,X184)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(c_0_66,plain,
! [X214,X215] :
( X214 != X215
| ~ greater(X214,X215) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
( X1 = v1
| ~ greater(X1,vplus(X2,vskolem2(X1))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_37]),c_0_60]) ).
cnf(c_0_68,plain,
vskolem2(vplus(v1,X1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_37])]),c_0_62]) ).
cnf(c_0_69,plain,
( greater(vplus(X1,X2),X3)
| ~ greater(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_45]) ).
cnf(c_0_70,negated_conjecture,
( vd354 = vd353
| ~ greater(vplus(vd353,vd355),vplus(vd354,vd355)) ),
inference(spm,[status(thm)],[c_0_40,c_0_64]) ).
cnf(c_0_71,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
~ greater(vplus(v1,X1),vplus(X2,X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_62]) ).
fof(c_0_74,plain,
! [X216,X217,X219,X220,X221] :
( ( ~ less(X217,X216)
| X216 = vplus(X217,esk1_2(X216,X217)) )
& ( X219 != vplus(X220,X221)
| less(X220,X219) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).
cnf(c_0_75,plain,
( greater(vplus(X1,X2),X3)
| ~ greater(X1,X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_29]) ).
cnf(c_0_76,plain,
( greater(vd353,vd354)
| greater(vd355,vd356) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_77,negated_conjecture,
vd354 = vd353,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_57]) ).
cnf(c_0_78,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_72]) ).
fof(c_0_79,plain,
! [X228,X229] :
( X228 = X229
| X228 = vplus(X229,esk3_2(X228,X229))
| X229 = vplus(X228,esk4_2(X228,X229)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
cnf(c_0_80,plain,
~ greater(vplus(v1,X1),vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_29]) ).
cnf(c_0_81,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_45]) ).
cnf(c_0_83,plain,
greater(vd355,vd356),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_84,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_85,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( ~ less(X1,X2)
| ~ greater(vplus(v1,X1),X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,plain,
( greater(X1,vd356)
| ~ greater(X1,vd355) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd353,vd356)),
inference(rw,[status(thm)],[c_0_40,c_0_77]) ).
cnf(c_0_90,plain,
( vplus(X1,esk3_2(X2,X1)) = X2
| X2 = X1
| greater(vplus(X3,X1),vplus(X3,X2)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
( ~ less(X1,vd356)
| ~ greater(vplus(v1,X1),vd355) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
less(X1,vplus(X1,X2)),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( vplus(vd355,esk3_2(vd356,vd355)) = vd356
| vd356 = vd355 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
~ less(vd355,vd356),
inference(spm,[status(thm)],[c_0_91,c_0_47]) ).
cnf(c_0_95,negated_conjecture,
vd356 = vd355,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_95]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM842+2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.26 % Computer : n024.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Mon May 4 20:15:26 EDT 2026
% 0.06/0.27 % CPUTime :
% 0.06/0.27 % start to proof: theBenchmark
% 2.01/1.85 % Version : CSE_E---1.7
% 2.01/1.85 % Problem : theBenchmark.p
% 2.01/1.85 % SZS status Theorem for theBenchmark.p
% 2.01/1.85 % SZS output start CNFRefutation
% See solution above
% 2.01/1.86 % Total time : 1.362s
%------------------------------------------------------------------------------