%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC304+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n031.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 05:19:06 PM UTC 2026
% Result : Theorem 1.52s 1.79s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 25 unt; 0 def)
% Number of atoms : 299 ( 59 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 365 ( 128 ~; 126 |; 57 &)
% ( 3 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 78 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ totalorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& leq(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& leq(X13,X11) ) ) ) ) ) ) )
| ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ! [X18] :
( ssList(X18)
=> ! [X19] :
( ssList(X19)
=> ( app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19) != X1
| ~ lt(X16,X15) ) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ totalorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& leq(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& leq(X13,X11) ) ) ) ) ) ) )
| ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ! [X18] :
( ssList(X18)
=> ! [X19] :
( ssList(X19)
=> ( app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19) != X1
| ~ lt(X16,X15) ) ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_12,negated_conjecture,
! [X492,X493,X494,X495,X496,X497,X498,X499] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssList(esk52_0)
& ssList(esk53_0)
& app(app(esk52_0,esk50_0),esk53_0) = esk51_0
& totalorderedP(esk50_0)
& ( ~ ssItem(X492)
| ~ ssList(X493)
| app(X493,cons(X492,nil)) != esk52_0
| ~ ssItem(X494)
| ~ ssList(X495)
| app(cons(X494,nil),X495) != esk50_0
| ~ leq(X492,X494) )
& ( ~ ssItem(X496)
| ~ ssList(X497)
| app(cons(X496,nil),X497) != esk53_0
| ~ ssItem(X498)
| ~ ssList(X499)
| app(X499,cons(X498,nil)) != esk50_0
| ~ leq(X498,X496) )
& ssItem(esk54_0)
& ssItem(esk55_0)
& ssList(esk56_0)
& ssList(esk57_0)
& ssList(esk58_0)
& app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk48_0
& lt(esk55_0,esk54_0)
& ( nil = esk51_0
| nil != esk50_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_13,negated_conjecture,
app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_14,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X457,X458,X459] :
( ~ ssList(X457)
| ~ ssList(X458)
| ~ ssList(X459)
| app(app(X457,X458),X459) = app(X457,app(X458,X459)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_16,negated_conjecture,
app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk50_0,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
ssList(esk57_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X346,X347] :
( ~ ssList(X346)
| ~ ssItem(X347)
| ssList(cons(X347,X346)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
cnf(c_0_21,negated_conjecture,
( app(app(app(esk56_0,app(cons(esk54_0,nil),esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_0
| ~ ssList(cons(esk54_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_24,negated_conjecture,
ssItem(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_25,plain,
! [X455,X456] :
( ~ ssList(X455)
| ~ ssItem(X456)
| cons(X456,X455) = app(cons(X456,nil),X455) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_26,negated_conjecture,
app(app(app(esk56_0,app(cons(esk54_0,nil),esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_27,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
app(app(app(esk56_0,cons(esk54_0,esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_18]),c_0_24])]) ).
cnf(c_0_29,negated_conjecture,
ssList(esk58_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
| ~ ssList(app(esk56_0,cons(esk54_0,esk57_0)))
| ~ ssList(cons(esk55_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_29])]) ).
cnf(c_0_31,negated_conjecture,
ssItem(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_32,plain,
! [X365,X366] :
( ~ ssList(X365)
| ~ ssList(X366)
| ssList(app(X365,X366)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_33,negated_conjecture,
( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
| ~ ssList(app(esk56_0,cons(esk54_0,esk57_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23]),c_0_31])]) ).
cnf(c_0_34,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X479,X480] :
( ( X479 != X480
| ~ lt(X479,X480)
| ~ ssItem(X480)
| ~ ssItem(X479) )
& ( leq(X479,X480)
| ~ lt(X479,X480)
| ~ ssItem(X480)
| ~ ssItem(X479) )
& ( X479 = X480
| ~ leq(X479,X480)
| lt(X479,X480)
| ~ ssItem(X480)
| ~ ssItem(X479) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(c_0_36,plain,
! [X302,X303,X304,X305,X306,X307] :
( ( ~ totalorderedP(X302)
| ~ ssItem(X303)
| ~ ssItem(X304)
| ~ ssList(X305)
| ~ ssList(X306)
| ~ ssList(X307)
| app(app(X305,cons(X303,X306)),cons(X304,X307)) != X302
| leq(X303,X304)
| ~ ssList(X302) )
& ( ssItem(esk25_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) )
& ( ssItem(esk26_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) )
& ( ssList(esk27_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) )
& ( ssList(esk28_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) )
& ( ssList(esk29_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) )
& ( app(app(esk27_1(X302),cons(esk25_1(X302),esk28_1(X302))),cons(esk26_1(X302),esk29_1(X302))) = X302
| totalorderedP(X302)
| ~ ssList(X302) )
& ( ~ leq(esk25_1(X302),esk26_1(X302))
| totalorderedP(X302)
| ~ ssList(X302) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).
cnf(c_0_37,negated_conjecture,
( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
| ~ ssList(cons(esk54_0,esk57_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19])]) ).
fof(c_0_38,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(c_0_39,plain,
! [X384,X385] :
( ( ~ gt(X384,X385)
| lt(X385,X384)
| ~ ssItem(X385)
| ~ ssItem(X384) )
& ( ~ lt(X385,X384)
| gt(X384,X385)
| ~ ssItem(X385)
| ~ ssItem(X384) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).
fof(c_0_40,plain,
! [X371,X372] :
( ~ ssItem(X371)
| ~ ssItem(X372)
| ~ leq(X371,X372)
| ~ leq(X372,X371)
| X371 = X372 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
cnf(c_0_41,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
lt(esk55_0,esk54_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,plain,
( leq(X2,X3)
| ~ totalorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_18]),c_0_24])]) ).
cnf(c_0_45,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_46,plain,
! [X481,X482] :
( ~ ssItem(X481)
| ~ ssItem(X482)
| ~ gt(X481,X482)
| ~ gt(X482,X481) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_47,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,negated_conjecture,
leq(esk55_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_24]),c_0_31])]) ).
cnf(c_0_50,plain,
( leq(X1,X2)
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
app(app(esk56_0,cons(esk54_0,esk57_0)),cons(esk55_0,esk58_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_29]),c_0_31])]) ).
cnf(c_0_52,negated_conjecture,
totalorderedP(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_53,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_45,c_0_14]) ).
cnf(c_0_54,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,negated_conjecture,
gt(esk54_0,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_24]),c_0_31])]) ).
cnf(c_0_56,negated_conjecture,
( esk55_0 = esk54_0
| ~ leq(esk54_0,esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_31]),c_0_24])]) ).
cnf(c_0_57,negated_conjecture,
leq(esk54_0,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_50,c_0_51]),c_0_52]),c_0_53]),c_0_29]),c_0_18]),c_0_19]),c_0_31]),c_0_24])]) ).
cnf(c_0_58,negated_conjecture,
~ gt(esk55_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_24]),c_0_31])]) ).
cnf(c_0_59,negated_conjecture,
esk55_0 = esk54_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
cnf(c_0_60,negated_conjecture,
~ gt(esk54_0,esk54_0),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_59]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC304+1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.14/0.33 % Computer : n031.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 04:45:09 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.52/1.79 % Version : CSE_E---1.7
% 1.52/1.79 % Problem : theBenchmark.p
% 1.52/1.79 % SZS status Theorem for theBenchmark.p
% 1.52/1.79 % SZS output start CNFRefutation
% See solution above
% 1.52/1.79 % Total time : 1.371s
%------------------------------------------------------------------------------