%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX217+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 05:34:45 PM UTC 2026
% Result : Theorem 4.00s 3.20s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 101 ( 72 unt; 0 def)
% Number of atoms : 137 ( 77 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 47 ~; 30 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_021,axiom,
! [X6] : rd(cons(i,X6)) = suc(double(rd(X6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).
fof(axiom_019,axiom,
! [X1] : double(X1) = addNat(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(axiom_022,axiom,
! [X6] : rd(cons(o,X6)) = double(rd(X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
fof(axiom_011,axiom,
! [X3] :
( evenNat(suc(X3))
<=> ~ evenNat(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
fof(axiom_017,axiom,
! [X4] : addNat(zero,X4) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(axiom_020,axiom,
rd(nil) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(axiom_014,axiom,
! [X4] :
( ~ evenNat(suc(X4))
=> shw(suc(X4)) = cons(i,shw(half(suc(X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
fof(axiom_018,axiom,
! [X4,X5] : addNat(suc(X5),X4) = suc(addNat(X5,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(axiom_013,axiom,
! [X4] :
( evenNat(suc(X4))
=> shw(suc(X4)) = cons(o,shw(half(suc(X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(axiom_009,axiom,
! [X3] : half(suc(suc(X3))) = suc(half(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
fof(axiom_010,axiom,
evenNat(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
fof(axiom_004,axiom,
! [X1] : proj1Suc(suc(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
fof(axiom_016,axiom,
! [X4,X5,X6] : append(cons(X5,X6),X4) = cons(X5,append(X6,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(axiom_008,axiom,
half(suc(zero)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(axiom_012,axiom,
shw(zero) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(axiom_007,axiom,
half(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(goal_024,conjecture,
? [X1,X4] : x(X1,X4) != x(X4,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_024) ).
fof(axiom_023,axiom,
! [X1,X4] : x(X1,X4) = rd(append(shw(X1),shw(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
fof(axiom_015,axiom,
! [X4] : append(nil,X4) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(c_0_19,plain,
! [X53] : rd(cons(i,X53)) = suc(double(rd(X53))),
inference(variable_rename,[status(thm)],[axiom_021]) ).
fof(c_0_20,plain,
! [X52] : double(X52) = addNat(X52,X52),
inference(variable_rename,[status(thm)],[axiom_019]) ).
fof(c_0_21,plain,
! [X54] : rd(cons(o,X54)) = double(rd(X54)),
inference(variable_rename,[status(thm)],[axiom_022]) ).
fof(c_0_22,plain,
! [X3] :
( evenNat(suc(X3))
<=> ~ evenNat(X3) ),
inference(fof_simplification,[status(thm)],[axiom_011]) ).
cnf(c_0_23,plain,
rd(cons(i,X1)) = suc(double(rd(X1))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
double(X1) = addNat(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
rd(cons(o,X1)) = double(rd(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X49] : addNat(zero,X49) = X49,
inference(variable_rename,[status(thm)],[axiom_017]) ).
fof(c_0_27,plain,
! [X42] :
( ( ~ evenNat(suc(X42))
| ~ evenNat(X42) )
& ( evenNat(X42)
| evenNat(suc(X42)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
cnf(c_0_28,plain,
rd(cons(i,X1)) = suc(addNat(rd(X1),rd(X1))),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
rd(cons(o,X1)) = addNat(rd(X1),rd(X1)),
inference(rw,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_30,plain,
rd(nil) = zero,
inference(split_conjunct,[status(thm)],[axiom_020]) ).
cnf(c_0_31,plain,
addNat(zero,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X4] :
( ~ evenNat(suc(X4))
=> shw(suc(X4)) = cons(i,shw(half(suc(X4)))) ),
inference(fof_simplification,[status(thm)],[axiom_014]) ).
cnf(c_0_33,plain,
( ~ evenNat(suc(X1))
| ~ evenNat(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
suc(rd(cons(o,X1))) = rd(cons(i,X1)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
rd(cons(o,nil)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_36,plain,
! [X50,X51] : addNat(suc(X51),X50) = suc(addNat(X51,X50)),
inference(variable_rename,[status(thm)],[axiom_018]) ).
fof(c_0_37,plain,
! [X43] :
( ~ evenNat(suc(X43))
| shw(suc(X43)) = cons(o,shw(half(suc(X43)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_013])]) ).
fof(c_0_38,plain,
! [X41] : half(suc(suc(X41))) = suc(half(X41)),
inference(variable_rename,[status(thm)],[axiom_009]) ).
fof(c_0_39,plain,
! [X44] :
( evenNat(suc(X44))
| shw(suc(X44)) = cons(i,shw(half(suc(X44)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
cnf(c_0_40,plain,
( ~ evenNat(rd(cons(i,X1)))
| ~ evenNat(rd(cons(o,X1))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
rd(cons(i,nil)) = suc(zero),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
evenNat(zero),
inference(split_conjunct,[status(thm)],[axiom_010]) ).
fof(c_0_43,plain,
! [X39] : proj1Suc(suc(X39)) = X39,
inference(variable_rename,[status(thm)],[axiom_004]) ).
cnf(c_0_44,plain,
addNat(suc(X1),X2) = suc(addNat(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,plain,
! [X46,X47,X48] : append(cons(X47,X48),X46) = cons(X47,append(X48,X46)),
inference(variable_rename,[status(thm)],[axiom_016]) ).
cnf(c_0_46,plain,
( shw(suc(X1)) = cons(o,shw(half(suc(X1))))
| ~ evenNat(suc(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
half(suc(suc(X1))) = suc(half(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( evenNat(suc(X1))
| shw(suc(X1)) = cons(i,shw(half(suc(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
half(suc(zero)) = zero,
inference(split_conjunct,[status(thm)],[axiom_008]) ).
cnf(c_0_50,plain,
shw(zero) = nil,
inference(split_conjunct,[status(thm)],[axiom_012]) ).
cnf(c_0_51,plain,
~ evenNat(suc(zero)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]),c_0_42])]) ).
cnf(c_0_52,plain,
proj1Suc(suc(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
suc(addNat(rd(cons(o,X1)),X2)) = addNat(rd(cons(i,X1)),X2),
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_54,plain,
append(cons(X1,X2),X3) = cons(X1,append(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( cons(o,shw(suc(half(X1)))) = shw(suc(suc(X1)))
| ~ evenNat(suc(suc(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
half(zero) = zero,
inference(split_conjunct,[status(thm)],[axiom_007]) ).
cnf(c_0_57,plain,
shw(suc(zero)) = cons(i,nil),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_58,plain,
rd(cons(o,cons(i,nil))) = suc(suc(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_44]),c_0_31]) ).
fof(c_0_59,negated_conjecture,
~ ? [X1,X4] : x(X1,X4) != x(X4,X1),
inference(assume_negation,[status(cth)],[goal_024]) ).
cnf(c_0_60,plain,
proj1Suc(addNat(rd(cons(i,X1)),X2)) = addNat(rd(cons(o,X1)),X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,plain,
( cons(o,append(shw(half(suc(X1))),X2)) = append(shw(suc(X1)),X2)
| ~ evenNat(suc(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_62,plain,
( cons(o,cons(i,nil)) = shw(suc(suc(zero)))
| ~ evenNat(suc(suc(zero))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
rd(cons(i,cons(i,nil))) = suc(suc(suc(zero))),
inference(spm,[status(thm)],[c_0_34,c_0_58]) ).
fof(c_0_64,negated_conjecture,
! [X57,X58] : x(X57,X58) = x(X58,X57),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_65,plain,
! [X55,X56] : x(X55,X56) = rd(append(shw(X55),shw(X56))),
inference(variable_rename,[status(thm)],[axiom_023]) ).
cnf(c_0_66,plain,
addNat(rd(cons(o,X1)),rd(cons(i,X1))) = proj1Suc(rd(cons(o,cons(i,X1)))),
inference(spm,[status(thm)],[c_0_60,c_0_29]) ).
cnf(c_0_67,plain,
( rd(cons(i,append(shw(half(suc(X1))),X2))) = suc(rd(append(shw(suc(X1)),X2)))
| ~ evenNat(suc(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_61]) ).
cnf(c_0_68,plain,
( suc(rd(shw(suc(suc(zero))))) = suc(suc(suc(zero)))
| ~ evenNat(suc(suc(zero))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_62]),c_0_63]) ).
fof(c_0_69,plain,
! [X45] : append(nil,X45) = X45,
inference(variable_rename,[status(thm)],[axiom_015]) ).
cnf(c_0_70,negated_conjecture,
x(X1,X2) = x(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
x(X1,X2) = rd(append(shw(X1),shw(X2))),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( evenNat(X1)
| evenNat(suc(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_73,plain,
suc(proj1Suc(rd(cons(o,cons(i,X1))))) = rd(cons(o,cons(i,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_66]),c_0_29]) ).
cnf(c_0_74,plain,
( ~ evenNat(rd(cons(o,append(shw(half(suc(X1))),X2))))
| ~ evenNat(suc(rd(append(shw(suc(X1)),X2))))
| ~ evenNat(suc(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_67]) ).
cnf(c_0_75,plain,
( suc(half(rd(shw(suc(suc(zero)))))) = suc(suc(zero))
| ~ evenNat(suc(suc(zero))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_68]),c_0_47]),c_0_47]),c_0_56]) ).
cnf(c_0_76,plain,
append(nil,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,negated_conjecture,
rd(append(shw(X1),shw(X2))) = rd(append(shw(X2),shw(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]) ).
cnf(c_0_78,plain,
( evenNat(proj1Suc(rd(cons(o,cons(i,X1)))))
| evenNat(rd(cons(o,cons(i,X1)))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
( ~ evenNat(suc(rd(append(shw(suc(suc(zero))),X1))))
| ~ evenNat(rd(cons(o,cons(i,X1))))
| ~ evenNat(suc(suc(zero))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_47]),c_0_56]),c_0_57]),c_0_54]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
rd(append(shw(X1),cons(i,nil))) = rd(cons(i,shw(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_57]),c_0_54]),c_0_76]) ).
cnf(c_0_81,plain,
rd(cons(o,cons(i,cons(i,nil)))) = suc(suc(suc(suc(suc(suc(zero)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_63]),c_0_44]),c_0_44]),c_0_44]),c_0_31]) ).
cnf(c_0_82,plain,
rd(cons(o,cons(o,cons(i,nil)))) = suc(suc(suc(suc(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_58]),c_0_44]),c_0_44]),c_0_31]) ).
cnf(c_0_83,plain,
evenNat(suc(suc(zero))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_58]),c_0_52]),c_0_51]) ).
cnf(c_0_84,plain,
( rd(cons(i,shw(half(suc(X1))))) = suc(rd(shw(suc(X1))))
| ~ evenNat(suc(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_85,negated_conjecture,
( ~ evenNat(suc(rd(cons(i,shw(suc(suc(zero)))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(zero)))))))
| ~ evenNat(suc(suc(zero))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_86,plain,
rd(cons(i,cons(o,cons(i,nil)))) = suc(suc(suc(suc(suc(zero))))),
inference(spm,[status(thm)],[c_0_34,c_0_82]) ).
cnf(c_0_87,plain,
cons(o,cons(i,nil)) = shw(suc(suc(zero))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_83])]) ).
cnf(c_0_88,plain,
( ~ evenNat(rd(cons(o,shw(half(suc(X1))))))
| ~ evenNat(suc(rd(shw(suc(X1)))))
| ~ evenNat(suc(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( ~ evenNat(suc(rd(cons(i,shw(suc(suc(zero)))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(zero))))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_83])]) ).
cnf(c_0_90,plain,
rd(cons(i,shw(suc(suc(zero))))) = suc(suc(suc(suc(suc(zero))))),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,plain,
( ~ evenNat(rd(cons(o,shw(suc(half(X1))))))
| ~ evenNat(suc(rd(shw(suc(suc(X1))))))
| ~ evenNat(suc(suc(X1))) ),
inference(spm,[status(thm)],[c_0_88,c_0_47]) ).
cnf(c_0_92,negated_conjecture,
~ evenNat(suc(suc(suc(suc(suc(suc(zero))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,plain,
( ~ evenNat(suc(rd(shw(suc(suc(zero))))))
| ~ evenNat(suc(suc(zero))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_94,plain,
( rd(shw(suc(suc(zero)))) = suc(suc(zero))
| ~ evenNat(suc(suc(zero))) ),
inference(spm,[status(thm)],[c_0_58,c_0_62]) ).
cnf(c_0_95,negated_conjecture,
evenNat(suc(suc(suc(suc(suc(zero)))))),
inference(spm,[status(thm)],[c_0_92,c_0_72]) ).
cnf(c_0_96,plain,
~ evenNat(suc(rd(shw(suc(suc(zero)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_83])]) ).
cnf(c_0_97,plain,
rd(shw(suc(suc(zero)))) = suc(suc(zero)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_83])]) ).
cnf(c_0_98,negated_conjecture,
~ evenNat(suc(suc(suc(suc(zero))))),
inference(spm,[status(thm)],[c_0_33,c_0_95]) ).
cnf(c_0_99,plain,
~ evenNat(suc(suc(suc(zero)))),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_72]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX217+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 07:59:45 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 4.00/3.20 % Version : CSE_E---1.7
% 4.00/3.20 % Problem : theBenchmark.p
% 4.00/3.20 % SZS status Theorem for theBenchmark.p
% 4.00/3.20 % SZS output start CNFRefutation
% See solution above
% 4.00/3.21 % Total time : 2.372s
%------------------------------------------------------------------------------