%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:15:53 PM UTC 2026
% Result : Theorem 0.27s 0.58s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 31 unt; 0 def)
% Number of atoms : 392 ( 182 equ)
% Maximal formula atoms : 194 ( 5 avg)
% Number of connectives : 444 ( 118 ~; 229 |; 85 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 126 ( 4 sgn 75 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(change_of_waterLevel,axiom,
! [X10,X5,X11,X7] :
( ( X11 = plus(X10,X7)
& holdsAt(waterLevel(X10),X5) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( X12 = X13
| less(X12,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(waterLevel_1,conjecture,
holdsAt(waterLevel(n1),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_1) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = overflow
& holdsAt(filling,X5)
& holdsAt(waterLevel(n3),X5) )
| ( X5 = n0
& X4 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( terminates(X4,X2,X5)
& less(X5,X3)
& less(X1,X5)
& happens(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(c_0_13,plain,
! [X84,X85,X86,X87] :
( trajectory(filling,X85,waterLevel(X86),X87)
| X86 != plus(X84,X87)
| ~ holdsAt(waterLevel(X84),X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
cnf(c_0_14,plain,
( X3 != plus(X1,X4)
| ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_15,plain,
( ~ holdsAt(waterLevel(X2),X1)
| trajectory(filling,X1,waterLevel(plus(X2,X3)),X3) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_16,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_17,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_18,plain,
! [X97,X98] :
( ( less_or_equal(X97,X98)
| X97 != X98 )
& ( less_or_equal(X97,X98)
| ~ less(X97,X98) )
& ( X97 = X98
| less(X97,X98)
| ~ less_or_equal(X97,X98) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])])]) ).
fof(c_0_19,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(assume_negation,[status(cth)],[waterLevel_1]) ).
fof(c_0_20,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ? [X9] :
( X2 = waterLevel(X9)
& X4 = overflow
& holdsAt(waterLevel(X9),X5) )
| ? [X9] :
( X2 = waterLevel(X9)
& X4 = tapOff
& holdsAt(waterLevel(X9),X5) )
| ( X2 = spilling
& X4 = overflow )
| ( X2 = filling
& X4 = tapOn ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
! [X4,X5,X2,X6,X7] :
( ( ~ stoppedIn(X5,X2,plus(X5,X7))
& trajectory(X2,X5,X6,X7)
& less(n0,X7)
& initiates(X4,X2,X5)
& happens(X4,X5) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_22,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_25,plain,
! [X100] :
( ( less(X100,n1)
| ~ less_or_equal(X100,n0) )
& ( less_or_equal(X100,n0)
| ~ less(X100,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
cnf(c_0_26,plain,
( X1 != X2
| less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_27,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_28,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_20]) ).
fof(c_0_29,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X121)
| X118 != overflow
| ~ holdsAt(waterLevel(X121),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != waterLevel(X120)
| X118 != tapOff
| ~ holdsAt(waterLevel(X120),X117) )
& ( epred1_3(X119,X118,X117)
| X119 != spilling
| X118 != overflow )
& ( epred1_3(X119,X118,X117)
| X119 != filling
| X118 != tapOn )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X114 = filling
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X114 = spilling
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| X113 = tapOff
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk11_3(X112,X113,X114)) )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow )
& ( ~ epred1_3(X114,X113,X112)
| X113 = tapOn
| X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112) ) ),
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)],[c_0_20])])])])])])]) ).
fof(c_0_30,plain,
! [X34,X35,X36,X37,X38] :
( holdsAt(X37,plus(X35,X38))
| stoppedIn(X35,X36,plus(X35,X38))
| ~ trajectory(X36,X35,X37,X38)
| ~ less(n0,X38)
| ~ initiates(X34,X36,X35)
| ~ happens(X34,X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_31,hypothesis,
trajectory(filling,n0,waterLevel(plus(X1,n0)),X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_33,plain,
( ~ less_or_equal(X1,n0)
| less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_26]) ).
fof(c_0_35,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_nnf,[status(thm)],[c_0_27]) ).
fof(c_0_36,plain,
! [X68,X69,X70] :
( ( initiates(X68,X69,X70)
| ~ epred1_3(X69,X68,X70) )
& ( epred1_3(X69,X68,X70)
| ~ initiates(X68,X69,X70) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_37,plain,
( X2 != filling
| X1 != tapOn
| epred1_3(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_38,plain,
! [X82,X83] :
( ( happens(X82,X83)
| X82 != overflow
| ~ holdsAt(filling,X83)
| ~ holdsAt(waterLevel(n3),X83) )
& ( happens(X82,X83)
| X83 != n0
| X82 != tapOn )
& ( ~ happens(X82,X83)
| X83 = n0
| X82 = overflow )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X83 = n0
| holdsAt(waterLevel(n3),X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| X82 = overflow )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(filling,X83) )
& ( ~ happens(X82,X83)
| X82 = tapOn
| holdsAt(waterLevel(n3),X83) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).
cnf(c_0_39,plain,
( ~ trajectory(X3,X2,X5,X4)
| ~ less(n0,X4)
| ~ initiates(X1,X3,X2)
| ~ happens(X1,X2)
| holdsAt(X5,plus(X2,X4))
| stoppedIn(X2,X3,plus(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( ~ epred1_3(X1,X2,X3)
| initiates(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_45,plain,
( X2 != n0
| X1 != tapOn
| happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X14,X15,X16,X19,X20,X21,X22,X23] :
( ( stoppedIn(X19,X20,X21)
| ~ terminates(X22,X20,X23)
| ~ less(X23,X21)
| ~ less(X19,X23)
| ~ happens(X22,X23) )
& ( ~ stoppedIn(X14,X15,X16)
| terminates(esk1_3(X14,X15,X16),X15,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| less(esk2_3(X14,X15,X16),X16) )
& ( ~ stoppedIn(X14,X15,X16)
| less(X14,esk2_3(X14,X15,X16)) )
& ( ~ stoppedIn(X14,X15,X16)
| happens(esk1_3(X14,X15,X16),esk2_3(X14,X15,X16)) ) ),
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)],[stoppedin_defn])])])])])])]) ).
cnf(c_0_47,hypothesis,
( ~ happens(X1,n0)
| ~ initiates(X1,filling,n0)
| stoppedIn(n0,filling,n1) ),
inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]),c_0_32]),c_0_23]),c_0_32]),c_0_41])]),c_0_42]) ).
cnf(c_0_48,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_50,plain,
( ~ stoppedIn(X1,X2,X3)
| less(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
stoppedIn(n0,filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
fof(c_0_52,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( X13 != X12
& ~ less(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_53,plain,
( ~ less(X1,n1)
| less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,plain,
less(esk2_3(n0,filling,n1),n1),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X99] : ~ less(X99,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_56,plain,
! [X109,X110] :
( ( less(X109,X110)
| X110 = X109
| less(X110,X109) )
& ( ~ less(X109,X110)
| X110 != X109 )
& ( ~ less(X109,X110)
| ~ less(X110,X109) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_57,plain,
( ~ stoppedIn(X1,X2,X3)
| less(X1,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( ~ less_or_equal(X1,X2)
| X1 = X2
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59,plain,
less_or_equal(esk2_3(n0,filling,n1),n0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
( ~ less(X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
less(n0,esk2_3(n0,filling,n1)),
inference(spm,[status(thm)],[c_0_57,c_0_51]) ).
cnf(c_0_63,plain,
esk2_3(n0,filling,n1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_64,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 14:25:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.27/0.58 % Version: 3.5.1
% 0.27/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.58 % Starting sh5l with 300s (1) cores
% 0.27/0.58 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2130277 completed with status 0
% 0.27/0.58 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.27/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.58 % No SInE strategy applied
% 0.27/0.58 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.27/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.27/0.58 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.27/0.58 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.58 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.27/0.58 % new_bool_3 with pid 2130285 completed with status 0
% 0.27/0.58 % Result found by new_bool_3
% 0.27/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.58 % No SInE strategy applied
% 0.27/0.58 % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.27/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.27/0.58 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.27/0.58 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.58 % Preprocessing time : 0.004 s
% 0.27/0.58 % Presaturation interreduction done
% 0.27/0.58
% 0.27/0.58 % Proof found!
% 0.27/0.58 % SZS status Theorem
% 0.27/0.58 % SZS output start CNFRefutation
% See solution above
% 0.27/0.58 % Parsed axioms : 55
% 0.27/0.58 % Removed by relevancy pruning/SinE : 0
% 0.27/0.58 % Initial clauses : 137
% 0.27/0.58 % Removed in clause preprocessing : 1
% 0.27/0.58 % Initial clauses in saturation : 136
% 0.27/0.58 % Processed clauses : 694
% 0.27/0.58 % ...of these trivial : 6
% 0.27/0.58 % ...subsumed : 153
% 0.27/0.58 % ...remaining for further processing : 535
% 0.27/0.58 % Other redundant clauses eliminated : 20
% 0.27/0.58 % Clauses deleted for lack of memory : 0
% 0.27/0.58 % Backward-subsumed : 26
% 0.27/0.58 % Backward-rewritten : 17
% 0.27/0.58 % Generated clauses : 991
% 0.27/0.58 % ...of the previous two non-redundant : 553
% 0.27/0.58 % ...aggressively subsumed : 0
% 0.27/0.58 % Contextual simplify-reflections : 0
% 0.27/0.58 % Paramodulations : 975
% 0.27/0.58 % Factorizations : 2
% 0.27/0.58 % NegExts : 0
% 0.27/0.58 % Equation resolutions : 22
% 0.27/0.58 % Disequality decompositions : 0
% 0.27/0.58 % Total rewrite steps : 606
% 0.27/0.59 % ...of those cached : 479
% 0.27/0.59 % Propositional unsat checks : 0
% 0.27/0.59 % Propositional check models : 0
% 0.27/0.59 % Propositional check unsatisfiable : 0
% 0.27/0.59 % Propositional clauses : 0
% 0.27/0.59 % Propositional clauses after purity: 0
% 0.27/0.59 % Propositional unsat core size : 0
% 0.27/0.59 % Propositional preprocessing time : 0.000
% 0.27/0.59 % Propositional encoding time : 0.000
% 0.27/0.59 % Propositional solver time : 0.000
% 0.27/0.59 % Success case prop preproc time : 0.000
% 0.27/0.59 % Success case prop encoding time : 0.000
% 0.27/0.59 % Success case prop solver time : 0.000
% 0.27/0.59 % Current number of processed clauses : 364
% 0.27/0.59 % Positive orientable unit clauses : 128
% 0.27/0.59 % Positive unorientable unit clauses: 1
% 0.27/0.59 % Negative unit clauses : 53
% 0.27/0.59 % Non-unit-clauses : 182
% 0.27/0.59 % Current number of unprocessed clauses: 76
% 0.27/0.59 % ...number of literals in the above : 245
% 0.27/0.59 % Current number of archived formulas : 0
% 0.27/0.59 % Current number of archived clauses : 159
% 0.27/0.59 % Clause-clause subsumption calls (NU) : 5544
% 0.27/0.59 % Rec. Clause-clause subsumption calls : 3445
% 0.27/0.59 % Non-unit clause-clause subsumptions : 121
% 0.27/0.59 % Unit Clause-clause subsumption calls : 1067
% 0.27/0.59 % Rewrite failures with RHS unbound : 0
% 0.27/0.59 % BW rewrite match attempts : 75
% 0.27/0.59 % BW rewrite match successes : 60
% 0.27/0.59 % Condensation attempts : 0
% 0.27/0.59 % Condensation successes : 0
% 0.27/0.59 % Termbank termtop insertions : 17823
% 0.27/0.59 % Search garbage collected termcells : 1494
% 0.27/0.59
% 0.27/0.59 % -------------------------------------------------
% 0.27/0.59 % User time : 0.071 s
% 0.27/0.59 % System time : 0.010 s
% 0.27/0.59 % Total time : 0.081 s
% 0.27/0.59 % Maximum resident set size: 3948 pages
% 0.27/0.59
% 0.27/0.59 % -------------------------------------------------
% 0.27/0.59 % User time : 0.219 s
% 0.27/0.59 % System time : 0.035 s
% 0.27/0.59 % Total time : 0.253 s
% 0.27/0.59 % Maximum resident set size: 4864 pages
% 0.27/0.59 % E exiting
%------------------------------------------------------------------------------