TSTP Solution File: CSR014+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : CSR014+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 : 600s
% DateTime : Fri Jul 15 02:46:33 EDT 2022
% Result : Theorem 7.33s 2.47s
% Output : CNFRefutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 26 unt; 0 def)
% Number of atoms : 455 ( 224 equ)
% Maximal formula atoms : 194 ( 5 avg)
% Number of connectives : 509 ( 137 ~; 278 |; 82 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 115 ( 6 sgn 62 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(keep_not_released,axiom,
! [X2,X5] :
( ( ~ releasedAt(X2,X5)
& ~ ? [X4] :
( happens(X4,X5)
& releases(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(symmetry_of_plus,axiom,
! [X12,X13] : plus(X12,X13) = plus(X13,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(filling_3_l1,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3_l1) ).
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(plus1_2,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
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(happens_not_released,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& ( initiates(X4,X2,X5)
| terminates(X4,X2,X5) ) )
=> ~ releasedAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
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(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(happens_terminates_not_holds,axiom,
! [X4,X5,X2] :
( ( happens(X4,X5)
& terminates(X4,X2,X5) )
=> ~ holdsAt(X2,plus(X5,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(less_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(c_0_15,plain,
! [X53,X54] :
( ( happens(esk8_2(X53,X54),X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) )
& ( releases(esk8_2(X53,X54),X53,X54)
| releasedAt(X53,X54)
| ~ releasedAt(X53,plus(X54,n1)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[keep_not_released])])])])]) ).
fof(c_0_16,plain,
! [X95,X96] : plus(X95,X96) = plus(X96,X95),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_17,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) ).
cnf(c_0_18,plain,
( happens(esk8_2(X1,X2),X2)
| releasedAt(X1,X2)
| ~ releasedAt(X1,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,negated_conjecture,
~ ~ releasedAt(filling,n3),
inference(assume_negation,[status(cth)],[filling_3_l1]) ).
fof(c_0_21,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_17]) ).
fof(c_0_22,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(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_17])])])])])]) ).
cnf(c_0_23,plain,
( releasedAt(X1,X2)
| happens(esk8_2(X1,X2),X2)
| ~ releasedAt(X1,plus(n1,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
plus(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[plus1_2]) ).
fof(c_0_25,negated_conjecture,
releasedAt(filling,n3),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X68,X69,X70] :
( ( ~ initiates(X68,X69,X70)
| epred1_3(X69,X68,X70) )
& ( ~ epred1_3(X69,X68,X70)
| initiates(X68,X69,X70) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
cnf(c_0_27,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X82,X83] :
( ( holdsAt(waterLevel(n3),X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X82 = tapOn
| ~ happens(X82,X83) )
& ( X82 = overflow
| X82 = tapOn
| ~ happens(X82,X83) )
& ( holdsAt(waterLevel(n3),X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( holdsAt(filling,X83)
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 = overflow
| X83 = n0
| ~ happens(X82,X83) )
& ( X82 != tapOn
| X83 != n0
| happens(X82,X83) )
& ( ~ holdsAt(waterLevel(n3),X83)
| ~ holdsAt(filling,X83)
| X82 != overflow
| happens(X82,X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])]) ).
cnf(c_0_29,plain,
( releasedAt(X1,n2)
| happens(esk8_2(X1,n2),n2)
| ~ releasedAt(X1,n3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
releasedAt(filling,n3),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X65,X66,X67] :
( ( ~ initiates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) )
& ( ~ terminates(X65,X67,X66)
| ~ happens(X65,X66)
| ~ releasedAt(X67,plus(X66,n1)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_not_released])])])]) ).
cnf(c_0_32,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).
cnf(c_0_34,plain,
( X1 = overflow
| X2 = n0
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( releasedAt(filling,n2)
| happens(esk8_2(filling,n2),n2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( ~ initiates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
cnf(c_0_40,plain,
plus(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[plus1_1]) ).
cnf(c_0_41,negated_conjecture,
( esk8_2(filling,n2) = overflow
| n2 = n0
| releasedAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(tapOn,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_44,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_45,plain,
( holdsAt(filling,X1)
| X1 = n0
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_46,plain,
! [X71,X72,X73] :
( ( X71 = overflow
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X71 = tapOff
| ~ terminates(X71,X72,X73) )
& ( X71 = overflow
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X72 = filling
| X72 = filling
| ~ terminates(X71,X72,X73) )
& ( X71 != tapOff
| X72 != filling
| terminates(X71,X72,X73) )
& ( X71 != overflow
| X72 != filling
| terminates(X71,X72,X73) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])]) ).
cnf(c_0_47,plain,
( releasedAt(X1,n1)
| happens(esk8_2(X1,n1),n1)
| ~ releasedAt(X1,n2) ),
inference(spm,[status(thm)],[c_0_18,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( n2 = n0
| releasedAt(filling,n2)
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_49,plain,
~ releasedAt(filling,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_19]),c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( n2 = n0
| releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
fof(c_0_51,plain,
! [X97,X98] :
( ( ~ less_or_equal(X97,X98)
| less(X97,X98)
| X97 = X98 )
& ( ~ less(X97,X98)
| less_or_equal(X97,X98) )
& ( X97 != X98
| less_or_equal(X97,X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
cnf(c_0_52,plain,
( terminates(X1,X2,X3)
| X1 != overflow
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( n2 = n0
| happens(esk8_2(filling,n1),n1)
| happens(overflow,n2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( n2 = n0
| holdsAt(filling,n2)
| happens(esk8_2(filling,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_49]) ).
fof(c_0_55,plain,
! [X101] :
( ( ~ less(X101,n2)
| less_or_equal(X101,n1) )
& ( ~ less_or_equal(X101,n1)
| less(X101,n2) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])]) ).
cnf(c_0_56,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_57,plain,
! [X59,X60,X61] :
( ~ happens(X59,X60)
| ~ terminates(X59,X61,X60)
| ~ holdsAt(X61,plus(X60,n1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[happens_terminates_not_holds])])]) ).
cnf(c_0_58,plain,
( ~ terminates(X1,X2,X3)
| ~ happens(X1,X3)
| ~ releasedAt(X2,plus(X3,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59,plain,
terminates(overflow,filling,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])]) ).
cnf(c_0_60,negated_conjecture,
( esk8_2(filling,n1) = overflow
| n2 = n0
| n0 = n1
| happens(overflow,n2) ),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( esk8_2(filling,n1) = overflow
| n2 = n0
| n0 = n1
| holdsAt(filling,n2) ),
inference(spm,[status(thm)],[c_0_34,c_0_54]) ).
fof(c_0_62,plain,
! [X109,X110] :
( ( ~ less(X110,X109)
| ~ less(X109,X110) )
& ( X110 != X109
| ~ less(X109,X110) )
& ( less(X110,X109)
| X110 = X109
| less(X109,X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[less_property])])])]) ).
cnf(c_0_63,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
( ~ happens(X1,X2)
| ~ terminates(X1,X3,X2)
| ~ holdsAt(X3,plus(X2,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
( ~ releasedAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( n0 = n1
| n2 = n0
| happens(overflow,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_53,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( n0 = n1
| n2 = n0
| holdsAt(filling,n2)
| happens(overflow,n1) ),
inference(spm,[status(thm)],[c_0_54,c_0_61]) ).
fof(c_0_69,plain,
! [X100] :
( ( ~ less(X100,n1)
| less_or_equal(X100,n0) )
& ( ~ less_or_equal(X100,n0)
| less(X100,n1) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])]) ).
cnf(c_0_70,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
( ~ holdsAt(filling,plus(X1,n1))
| ~ happens(overflow,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_73,negated_conjecture,
( n2 = n0
| n0 = n1
| happens(overflow,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_19]),c_0_24]),c_0_30])]) ).
cnf(c_0_74,negated_conjecture,
( n2 = n0
| n0 = n1
| holdsAt(filling,n2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_68]),c_0_40]),c_0_50]) ).
cnf(c_0_75,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,plain,
~ less(n2,n1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( n0 = n1
| n2 = n0 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_40]),c_0_74]) ).
cnf(c_0_78,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_75,c_0_64]) ).
cnf(c_0_79,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,negated_conjecture,
n0 = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_81,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_80]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR014+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 01:31:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.33/2.47 # ENIGMATIC: Solved by autoschedule:
% 7.33/2.47 # No SInE strategy applied
% 7.33/2.47 # Trying AutoSched0 for 150 seconds
% 7.33/2.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 7.33/2.47 # and selection function SelectCQArNTNpEqFirst.
% 7.33/2.47 #
% 7.33/2.47 # Preprocessing time : 0.020 s
% 7.33/2.47 # Presaturation interreduction done
% 7.33/2.47
% 7.33/2.47 # Proof found!
% 7.33/2.47 # SZS status Theorem
% 7.33/2.47 # SZS output start CNFRefutation
% See solution above
% 7.33/2.47 # Training examples: 0 positive, 0 negative
% 7.33/2.47
% 7.33/2.47 # -------------------------------------------------
% 7.33/2.47 # User time : 0.040 s
% 7.33/2.47 # System time : 0.006 s
% 7.33/2.47 # Total time : 0.046 s
% 7.33/2.47 # Maximum resident set size: 7120 pages
% 7.33/2.47
%------------------------------------------------------------------------------