TSTP Solution File: CSR012+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CSR012+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : Mon May 20 19:17:08 EDT 2024
% Result : Theorem 0.20s 0.54s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 30 unt; 0 def)
% Number of atoms : 391 ( 182 equ)
% Maximal formula atoms : 194 ( 6 avg)
% Number of connectives : 443 ( 117 ~; 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] :
( ( holdsAt(waterLevel(X10),X5)
& X11 = plus(X10,X7) )
=> trajectory(filling,X5,waterLevel(X11),X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(change_holding,axiom,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(waterLevel_1,conjecture,
holdsAt(waterLevel(n1),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_1) ).
fof(initiates_all_defn,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(happens_all_defn,axiom,
! [X4,X5] :
( happens(X4,X5)
<=> ( ( X4 = tapOn
& X5 = n0 )
| ( holdsAt(waterLevel(n3),X5)
& holdsAt(filling,X5)
& X4 = overflow ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(stoppedin_defn,axiom,
! [X1,X2,X3] :
( stoppedIn(X1,X2,X3)
<=> ? [X4,X5] :
( happens(X4,X5)
& less(X1,X5)
& less(X5,X3)
& terminates(X4,X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(c_0_13,plain,
! [X91,X92,X93,X94] :
( ~ holdsAt(waterLevel(X91),X92)
| X93 != plus(X91,X94)
| trajectory(filling,X92,waterLevel(X93),X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
cnf(c_0_14,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_15,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
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,
! [X61,X62] : plus(X61,X62) = plus(X62,X61),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_18,plain,
! [X99,X100] :
( ( ~ less_or_equal(X99,X100)
| less(X99,X100)
| X99 = X100 )
& ( ~ less(X99,X100)
| less_or_equal(X99,X100) )
& ( X99 != X100
| less_or_equal(X99,X100) ) ),
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,plain,
! [X5,X4,X2] :
( epred1_3(X2,X4,X5)
<=> ( ( X4 = tapOn
& X2 = filling )
| ( X4 = overflow
& X2 = spilling )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = tapOff
& X2 = waterLevel(X9) )
| ? [X9] :
( holdsAt(waterLevel(X9),X5)
& X4 = overflow
& X2 = waterLevel(X9) ) ) ),
introduced(definition) ).
fof(c_0_20,plain,
! [X4,X5,X2,X6,X7] :
( ( happens(X4,X5)
& initiates(X4,X2,X5)
& less(n0,X7)
& trajectory(X2,X5,X6,X7)
& ~ stoppedIn(X5,X2,plus(X5,X7)) )
=> holdsAt(X6,plus(X5,X7)) ),
inference(fof_simplification,[status(thm)],[change_holding]) ).
cnf(c_0_21,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_24,plain,
! [X46] :
( ( ~ less(X46,n1)
| less_or_equal(X46,n0) )
& ( ~ less_or_equal(X46,n0)
| less(X46,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
cnf(c_0_25,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[waterLevel_1])]) ).
fof(c_0_27,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_19]) ).
fof(c_0_28,plain,
! [X112,X113,X114,X117,X118,X119,X120,X121] :
( ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X113 = tapOn
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X113 = overflow
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| holdsAt(waterLevel(esk10_3(X112,X113,X114)),X112)
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X113 = tapOff
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( holdsAt(waterLevel(esk11_3(X112,X113,X114)),X112)
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X113 = overflow
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X114 = waterLevel(esk11_3(X112,X113,X114))
| X114 = waterLevel(esk10_3(X112,X113,X114))
| X114 = spilling
| X114 = filling
| ~ epred1_3(X114,X113,X112) )
& ( X118 != tapOn
| X119 != filling
| epred1_3(X119,X118,X117) )
& ( X118 != overflow
| X119 != spilling
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X120),X117)
| X118 != tapOff
| X119 != waterLevel(X120)
| epred1_3(X119,X118,X117) )
& ( ~ holdsAt(waterLevel(X121),X117)
| X118 != overflow
| X119 != waterLevel(X121)
| epred1_3(X119,X118,X117) ) ),
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_19])])])])])])]) ).
fof(c_0_29,plain,
! [X86,X87,X88,X89,X90] :
( ~ happens(X86,X87)
| ~ initiates(X86,X88,X87)
| ~ less(n0,X90)
| ~ trajectory(X88,X87,X89,X90)
| stoppedIn(X87,X88,plus(X87,X90))
| holdsAt(X89,plus(X87,X90)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_30,hypothesis,
trajectory(filling,n0,waterLevel(plus(X1,n0)),X1),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_32,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_25]) ).
fof(c_0_34,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(fof_nnf,[status(thm)],[c_0_26]) ).
fof(c_0_35,plain,
! [X26,X27,X28] :
( ( ~ initiates(X26,X27,X28)
| epred1_3(X27,X26,X28) )
& ( ~ epred1_3(X27,X26,X28)
| initiates(X26,X27,X28) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_36,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X29,X30] :
( ( holdsAt(waterLevel(n3),X30)
| X29 = tapOn
| ~ happens(X29,X30) )
& ( holdsAt(filling,X30)
| X29 = tapOn
| ~ happens(X29,X30) )
& ( X29 = overflow
| X29 = tapOn
| ~ happens(X29,X30) )
& ( holdsAt(waterLevel(n3),X30)
| X30 = n0
| ~ happens(X29,X30) )
& ( holdsAt(filling,X30)
| X30 = n0
| ~ happens(X29,X30) )
& ( X29 = overflow
| X30 = n0
| ~ happens(X29,X30) )
& ( X29 != tapOn
| X30 != n0
| happens(X29,X30) )
& ( ~ holdsAt(waterLevel(n3),X30)
| ~ holdsAt(filling,X30)
| X29 != overflow
| happens(X29,X30) ) ),
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_38,plain,
( stoppedIn(X2,X3,plus(X2,X4))
| holdsAt(X5,plus(X2,X4))
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| ~ less(n0,X4)
| ~ trajectory(X3,X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).
cnf(c_0_44,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_45,plain,
! [X63,X64,X65,X68,X69,X70,X71,X72] :
( ( happens(esk6_3(X63,X64,X65),esk7_3(X63,X64,X65))
| ~ stoppedIn(X63,X64,X65) )
& ( less(X63,esk7_3(X63,X64,X65))
| ~ stoppedIn(X63,X64,X65) )
& ( less(esk7_3(X63,X64,X65),X65)
| ~ stoppedIn(X63,X64,X65) )
& ( terminates(esk6_3(X63,X64,X65),X64,esk7_3(X63,X64,X65))
| ~ stoppedIn(X63,X64,X65) )
& ( ~ happens(X71,X72)
| ~ less(X68,X72)
| ~ less(X72,X70)
| ~ terminates(X71,X69,X72)
| stoppedIn(X68,X69,X70) ) ),
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_46,hypothesis,
( stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
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_38,c_0_39]),c_0_22]),c_0_31]),c_0_22]),c_0_31]),c_0_40])]),c_0_41]) ).
cnf(c_0_47,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_44])]) ).
cnf(c_0_49,plain,
( less(esk7_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
stoppedIn(n0,filling,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
fof(c_0_51,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_52,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,plain,
less(esk7_3(n0,filling,n1),n1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X97] : ~ less(X97,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
fof(c_0_55,plain,
! [X104,X105] :
( ( ~ less(X105,X104)
| ~ less(X104,X105) )
& ( X105 != X104
| ~ less(X104,X105) )
& ( less(X105,X104)
| X105 = X104
| less(X104,X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
cnf(c_0_56,plain,
( less(X1,esk7_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58,plain,
less_or_equal(esk7_3(n0,filling,n1),n0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
less(n0,esk7_3(n0,filling,n1)),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_62,plain,
esk7_3(n0,filling,n1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_63,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_64,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR012+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n020.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
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 00:59:22 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54 # Version: 3.1.0
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # sh5l with pid 3647 completed with status 0
% 0.20/0.54 # Result found by sh5l
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.54 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.20/0.54 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 0.20/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 3655 completed with status 0
% 0.20/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.54 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.20/0.54 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 0.20/0.54 # Preprocessing time : 0.003 s
% 0.20/0.54 # Presaturation interreduction done
% 0.20/0.54
% 0.20/0.54 # Proof found!
% 0.20/0.54 # SZS status Theorem
% 0.20/0.54 # SZS output start CNFRefutation
% See solution above
% 0.20/0.54 # Parsed axioms : 55
% 0.20/0.54 # Removed by relevancy pruning/SinE : 0
% 0.20/0.54 # Initial clauses : 137
% 0.20/0.54 # Removed in clause preprocessing : 1
% 0.20/0.54 # Initial clauses in saturation : 136
% 0.20/0.54 # Processed clauses : 782
% 0.20/0.54 # ...of these trivial : 6
% 0.20/0.54 # ...subsumed : 196
% 0.20/0.54 # ...remaining for further processing : 580
% 0.20/0.54 # Other redundant clauses eliminated : 20
% 0.20/0.54 # Clauses deleted for lack of memory : 0
% 0.20/0.54 # Backward-subsumed : 28
% 0.20/0.54 # Backward-rewritten : 16
% 0.20/0.54 # Generated clauses : 1290
% 0.20/0.54 # ...of the previous two non-redundant : 842
% 0.20/0.54 # ...aggressively subsumed : 0
% 0.20/0.54 # Contextual simplify-reflections : 3
% 0.20/0.54 # Paramodulations : 1272
% 0.20/0.54 # Factorizations : 2
% 0.20/0.54 # NegExts : 0
% 0.20/0.54 # Equation resolutions : 24
% 0.20/0.54 # Disequality decompositions : 0
% 0.20/0.54 # Total rewrite steps : 649
% 0.20/0.54 # ...of those cached : 518
% 0.20/0.54 # Propositional unsat checks : 0
% 0.20/0.54 # Propositional check models : 0
% 0.20/0.54 # Propositional check unsatisfiable : 0
% 0.20/0.54 # Propositional clauses : 0
% 0.20/0.54 # Propositional clauses after purity: 0
% 0.20/0.54 # Propositional unsat core size : 0
% 0.20/0.54 # Propositional preprocessing time : 0.000
% 0.20/0.54 # Propositional encoding time : 0.000
% 0.20/0.54 # Propositional solver time : 0.000
% 0.20/0.54 # Success case prop preproc time : 0.000
% 0.20/0.54 # Success case prop encoding time : 0.000
% 0.20/0.54 # Success case prop solver time : 0.000
% 0.20/0.54 # Current number of processed clauses : 408
% 0.20/0.54 # Positive orientable unit clauses : 127
% 0.20/0.54 # Positive unorientable unit clauses: 1
% 0.20/0.54 # Negative unit clauses : 53
% 0.20/0.54 # Non-unit-clauses : 227
% 0.20/0.54 # Current number of unprocessed clauses: 273
% 0.20/0.54 # ...number of literals in the above : 1019
% 0.20/0.54 # Current number of archived formulas : 0
% 0.20/0.54 # Current number of archived clauses : 160
% 0.20/0.54 # Clause-clause subsumption calls (NU) : 6013
% 0.20/0.54 # Rec. Clause-clause subsumption calls : 3334
% 0.20/0.54 # Non-unit clause-clause subsumptions : 160
% 0.20/0.54 # Unit Clause-clause subsumption calls : 1147
% 0.20/0.54 # Rewrite failures with RHS unbound : 0
% 0.20/0.54 # BW rewrite match attempts : 85
% 0.20/0.54 # BW rewrite match successes : 61
% 0.20/0.54 # Condensation attempts : 0
% 0.20/0.54 # Condensation successes : 0
% 0.20/0.54 # Termbank termtop insertions : 22648
% 0.20/0.54 # Search garbage collected termcells : 1494
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.055 s
% 0.20/0.54 # System time : 0.003 s
% 0.20/0.54 # Total time : 0.058 s
% 0.20/0.54 # Maximum resident set size: 2160 pages
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.058 s
% 0.20/0.54 # System time : 0.004 s
% 0.20/0.54 # Total time : 0.062 s
% 0.20/0.54 # Maximum resident set size: 1756 pages
% 0.20/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------