TSTP Solution File: CSR008+1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CSR008+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 19:17:07 EDT 2024
% Result : Theorem 1.48s 0.69s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 127 ( 55 unt; 0 def)
% Number of atoms : 526 ( 241 equ)
% Maximal formula atoms : 194 ( 4 avg)
% Number of connectives : 561 ( 162 ~; 288 |; 95 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 174 ( 7 sgn 91 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_or_equal,axiom,
! [X12,X13] :
( less_or_equal(X12,X13)
<=> ( less(X12,X13)
| X12 = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
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/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(less1,axiom,
! [X12] :
( less(X12,n1)
<=> less_or_equal(X12,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
fof(waterLevel_0,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(less2,axiom,
! [X12] :
( less(X12,n2)
<=> less_or_equal(X12,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(waterLevel_2,conjecture,
holdsAt(waterLevel(n2),n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_2) ).
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/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_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/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
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_property,axiom,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
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/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(less0,axiom,
~ ? [X12] : less(X12,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(terminates_all_defn,axiom,
! [X4,X2,X5] :
( terminates(X4,X2,X5)
<=> ( ( X4 = tapOff
& X2 = filling )
| ( X4 = overflow
& X2 = filling ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(tapOff_not_overflow,axiom,
tapOff != overflow,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_overflow) ).
fof(tapOff_not_tapOn,axiom,
tapOff != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',tapOff_not_tapOn) ).
fof(same_waterLevel,axiom,
! [X5,X10,X11] :
( ( holdsAt(waterLevel(X10),X5)
& holdsAt(waterLevel(X11),X5) )
=> X10 = X11 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(overflow_not_tapOn,axiom,
overflow != tapOn,
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).
fof(less3,axiom,
! [X12] :
( less(X12,n3)
<=> less_or_equal(X12,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(c_0_21,plain,
! [X100,X101] :
( ( ~ less_or_equal(X100,X101)
| less(X100,X101)
| X100 = X101 )
& ( ~ less(X100,X101)
| less_or_equal(X100,X101) )
& ( X100 != X101
| less_or_equal(X100,X101) ) ),
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_22,plain,
! [X92,X93,X94,X95] :
( ~ holdsAt(waterLevel(X92),X93)
| X94 != plus(X92,X95)
| trajectory(filling,X93,waterLevel(X94),X95) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[change_of_waterLevel])])]) ).
fof(c_0_23,plain,
! [X63] :
( ( ~ less(X63,n1)
| less_or_equal(X63,n0) )
& ( ~ less_or_equal(X63,n0)
| less(X63,n1) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less1])])]) ).
cnf(c_0_24,plain,
( less_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( trajectory(filling,X2,waterLevel(X3),X4)
| ~ holdsAt(waterLevel(X1),X2)
| X3 != plus(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( less(X1,n1)
| ~ less_or_equal(X1,n0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
less_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_24]) ).
fof(c_0_28,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_29,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_30,plain,
( trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)
| ~ holdsAt(waterLevel(X2),X1) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_31,hypothesis,
holdsAt(waterLevel(n0),n0),
inference(split_conjunct,[status(thm)],[waterLevel_0]) ).
fof(c_0_32,plain,
! [X34] :
( ( ~ less(X34,n2)
| less_or_equal(X34,n1) )
& ( ~ less_or_equal(X34,n1)
| less(X34,n2) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less2])])]) ).
cnf(c_0_33,plain,
( less_or_equal(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_35,negated_conjecture,
~ holdsAt(waterLevel(n2),n2),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[waterLevel_2])]) ).
fof(c_0_36,axiom,
! [X4,X2,X5] :
( initiates(X4,X2,X5)
<=> epred1_3(X2,X4,X5) ),
inference(apply_def,[status(thm)],[initiates_all_defn,c_0_28]) ).
fof(c_0_37,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_28])])])])])])]) ).
fof(c_0_38,plain,
! [X87,X88,X89,X90,X91] :
( ~ happens(X87,X88)
| ~ initiates(X87,X89,X88)
| ~ less(n0,X91)
| ~ trajectory(X89,X88,X90,X91)
| stoppedIn(X88,X89,plus(X88,X91))
| holdsAt(X90,plus(X88,X91)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_39,hypothesis,
trajectory(filling,n0,waterLevel(plus(n0,X1)),X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
plus(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[plus0_2]) ).
cnf(c_0_41,plain,
( less(X1,n2)
| ~ less_or_equal(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
less_or_equal(n0,n1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_43,negated_conjecture,
~ holdsAt(waterLevel(n2),n2),
inference(fof_nnf,[status(thm)],[c_0_35]) ).
fof(c_0_44,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_36])])]) ).
cnf(c_0_45,plain,
( epred1_3(X2,X1,X3)
| X1 != tapOn
| X2 != filling ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_46,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])])])]) ).
fof(c_0_47,plain,
! [X55,X56] : plus(X55,X56) = plus(X56,X55),
inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).
fof(c_0_48,plain,
! [X12,X13] :
( less(X12,X13)
<=> ( ~ less(X13,X12)
& X13 != X12 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
cnf(c_0_49,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_38]) ).
cnf(c_0_50,hypothesis,
trajectory(filling,n0,waterLevel(n2),n2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
less(n0,n2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,negated_conjecture,
~ holdsAt(waterLevel(n2),n2),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( initiates(X2,X1,X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
epred1_3(filling,tapOn,X1),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).
cnf(c_0_55,plain,
( happens(X1,X2)
| X1 != tapOn
| X2 != n0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
plus(X1,X2) = plus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
plus(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[plus0_1]) ).
fof(c_0_58,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_48])])])]) ).
fof(c_0_59,plain,
! [X64,X65,X66,X69,X70,X71,X72,X73] :
( ( happens(esk6_3(X64,X65,X66),esk7_3(X64,X65,X66))
| ~ stoppedIn(X64,X65,X66) )
& ( less(X64,esk7_3(X64,X65,X66))
| ~ stoppedIn(X64,X65,X66) )
& ( less(esk7_3(X64,X65,X66),X66)
| ~ stoppedIn(X64,X65,X66) )
& ( terminates(esk6_3(X64,X65,X66),X65,esk7_3(X64,X65,X66))
| ~ stoppedIn(X64,X65,X66) )
& ( ~ happens(X72,X73)
| ~ less(X69,X73)
| ~ less(X73,X71)
| ~ terminates(X72,X70,X73)
| stoppedIn(X69,X70,X71) ) ),
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_60,hypothesis,
( stoppedIn(n0,filling,n2)
| ~ 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(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40]),c_0_40]),c_0_51])]),c_0_52]) ).
cnf(c_0_61,plain,
initiates(tapOn,filling,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
happens(tapOn,n0),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).
cnf(c_0_63,hypothesis,
trajectory(filling,n0,waterLevel(plus(X1,n0)),X1),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_64,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_65,plain,
( less_or_equal(X1,n0)
| ~ less(X1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_66,plain,
( less(X1,X2)
| X1 = X2
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_67,plain,
! [X97] : ~ less(X97,n0),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less0])])]) ).
cnf(c_0_68,plain,
( less(esk7_3(X1,X2,X3),X3)
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
stoppedIn(n0,filling,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_70,hypothesis,
trajectory(filling,n0,waterLevel(n1),n1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( happens(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_72,plain,
! [X74,X75,X76] :
( ( X74 = overflow
| X74 = tapOff
| ~ terminates(X74,X75,X76) )
& ( X75 = filling
| X74 = tapOff
| ~ terminates(X74,X75,X76) )
& ( X74 = overflow
| X75 = filling
| ~ terminates(X74,X75,X76) )
& ( X75 = filling
| X75 = filling
| ~ terminates(X74,X75,X76) )
& ( X74 != tapOff
| X75 != filling
| terminates(X74,X75,X76) )
& ( X74 != overflow
| X75 != filling
| terminates(X74,X75,X76) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[terminates_all_defn])])])]) ).
cnf(c_0_73,plain,
( terminates(esk6_3(X1,X2,X3),X2,esk7_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_74,plain,
tapOff != overflow,
inference(fof_simplification,[status(thm)],[tapOff_not_overflow]) ).
fof(c_0_75,plain,
tapOff != tapOn,
inference(fof_simplification,[status(thm)],[tapOff_not_tapOn]) ).
cnf(c_0_76,plain,
( less(X1,X2)
| X1 = X2
| ~ less_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77,plain,
( X1 = n1
| less_or_equal(X1,n0)
| less(n1,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,plain,
~ less(X1,n0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,plain,
( less_or_equal(X1,n1)
| ~ less(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_80,plain,
less(esk7_3(n0,filling,n2),n2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,hypothesis,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ initiates(X1,filling,n0)
| ~ happens(X1,n0) ),
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_49,c_0_70]),c_0_56]),c_0_64]),c_0_56]),c_0_64]),c_0_34])]) ).
fof(c_0_82,plain,
! [X31,X32,X33] :
( ~ holdsAt(waterLevel(X32),X31)
| ~ holdsAt(waterLevel(X33),X31)
| X32 = X33 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[same_waterLevel])])]) ).
cnf(c_0_83,plain,
( holdsAt(waterLevel(n3),X1)
| X2 = tapOn
| ~ happens(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_84,plain,
happens(esk6_3(n0,filling,n2),esk7_3(n0,filling,n2)),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
cnf(c_0_85,plain,
( X1 = overflow
| X1 = tapOn
| ~ happens(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_86,plain,
( X1 = overflow
| X1 = tapOff
| ~ terminates(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,plain,
terminates(esk6_3(n0,filling,n2),filling,esk7_3(n0,filling,n2)),
inference(spm,[status(thm)],[c_0_73,c_0_69]) ).
fof(c_0_88,plain,
tapOff != overflow,
inference(fof_nnf,[status(thm)],[c_0_74]) ).
fof(c_0_89,plain,
tapOff != tapOn,
inference(fof_nnf,[status(thm)],[c_0_75]) ).
fof(c_0_90,plain,
overflow != tapOn,
inference(fof_simplification,[status(thm)],[overflow_not_tapOn]) ).
cnf(c_0_91,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_92,plain,
( X1 = n1
| X1 = n0
| less(n1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_93,plain,
less_or_equal(esk7_3(n0,filling,n2),n1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_94,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_61]),c_0_62])]) ).
cnf(c_0_95,plain,
( X1 = X3
| ~ holdsAt(waterLevel(X1),X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
( esk6_3(n0,filling,n2) = tapOn
| holdsAt(waterLevel(n3),esk7_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,plain,
( esk6_3(n0,filling,n2) = overflow
| esk6_3(n0,filling,n2) = tapOn ),
inference(spm,[status(thm)],[c_0_85,c_0_84]) ).
cnf(c_0_98,plain,
( esk6_3(n0,filling,n2) = tapOff
| esk6_3(n0,filling,n2) = overflow ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,plain,
tapOff != overflow,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
tapOff != tapOn,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
fof(c_0_101,plain,
overflow != tapOn,
inference(fof_nnf,[status(thm)],[c_0_90]) ).
cnf(c_0_102,plain,
( less(X1,esk7_3(X1,X2,X3))
| ~ stoppedIn(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_103,plain,
( X1 = n0
| X1 = n1
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_104,plain,
( esk7_3(n0,filling,n2) = n1
| less(esk7_3(n0,filling,n2),n1) ),
inference(spm,[status(thm)],[c_0_76,c_0_93]) ).
cnf(c_0_105,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_106,plain,
( holdsAt(waterLevel(n1),n1)
| less(esk7_3(n0,filling,n1),n1) ),
inference(spm,[status(thm)],[c_0_68,c_0_94]) ).
cnf(c_0_107,plain,
( esk6_3(n0,filling,n2) = tapOn
| X1 = n3
| ~ holdsAt(waterLevel(X1),esk7_3(n0,filling,n2)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,plain,
esk6_3(n0,filling,n2) = overflow,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_109,plain,
overflow != tapOn,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_110,plain,
less(n0,esk7_3(n0,filling,n2)),
inference(spm,[status(thm)],[c_0_102,c_0_69]) ).
cnf(c_0_111,plain,
( esk7_3(n0,filling,n2) = n1
| esk7_3(n0,filling,n2) = n0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_112,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_105]) ).
cnf(c_0_113,plain,
( less_or_equal(esk7_3(n0,filling,n1),n0)
| holdsAt(waterLevel(n1),n1) ),
inference(spm,[status(thm)],[c_0_65,c_0_106]) ).
fof(c_0_114,plain,
! [X35] :
( ( ~ less(X35,n3)
| less_or_equal(X35,n2) )
& ( ~ less_or_equal(X35,n2)
| less(X35,n3) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less3])])]) ).
cnf(c_0_115,plain,
less(n1,n2),
inference(spm,[status(thm)],[c_0_41,c_0_27]) ).
cnf(c_0_116,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),esk7_3(n0,filling,n2)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_117,plain,
esk7_3(n0,filling,n2) = n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_118,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,esk7_3(n0,filling,n1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_94]) ).
cnf(c_0_119,plain,
( esk7_3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_78]) ).
cnf(c_0_120,plain,
( less(X1,n3)
| ~ less_or_equal(X1,n2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
less_or_equal(n1,n2),
inference(spm,[status(thm)],[c_0_33,c_0_115]) ).
cnf(c_0_122,plain,
( X1 = n3
| ~ holdsAt(waterLevel(X1),n1) ),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,plain,
holdsAt(waterLevel(n1),n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_112]) ).
cnf(c_0_124,plain,
less(n1,n3),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
n3 = n1,
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR008+1 : TPTP v8.2.0. Bugfixed v3.1.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.32 % Computer : n010.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sun May 19 00:46:23 EDT 2024
% 0.13/0.32 % CPUTime :
% 0.18/0.46 Running first-order model finding
% 0.18/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.48/0.69 # Version: 3.1.0
% 1.48/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.48/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.48/0.69 # Starting new_bool_3 with 300s (1) cores
% 1.48/0.69 # Starting new_bool_1 with 300s (1) cores
% 1.48/0.69 # Starting sh5l with 300s (1) cores
% 1.48/0.69 # sh5l with pid 5030 completed with status 0
% 1.48/0.69 # Result found by sh5l
% 1.48/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.48/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.48/0.69 # Starting new_bool_3 with 300s (1) cores
% 1.48/0.69 # Starting new_bool_1 with 300s (1) cores
% 1.48/0.69 # Starting sh5l with 300s (1) cores
% 1.48/0.69 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.48/0.69 # Search class: FGHSF-FSLM32-SFFFFFNN
% 1.48/0.69 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.48/0.69 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 1.48/0.69 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 5038 completed with status 0
% 1.48/0.69 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 1.48/0.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.48/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.48/0.69 # Starting new_bool_3 with 300s (1) cores
% 1.48/0.69 # Starting new_bool_1 with 300s (1) cores
% 1.48/0.69 # Starting sh5l with 300s (1) cores
% 1.48/0.69 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.48/0.69 # Search class: FGHSF-FSLM32-SFFFFFNN
% 1.48/0.69 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.48/0.69 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 163s (1) cores
% 1.48/0.69 # Preprocessing time : 0.002 s
% 1.48/0.69 # Presaturation interreduction done
% 1.48/0.69
% 1.48/0.69 # Proof found!
% 1.48/0.69 # SZS status Theorem
% 1.48/0.69 # SZS output start CNFRefutation
% See solution above
% 1.48/0.69 # Parsed axioms : 55
% 1.48/0.69 # Removed by relevancy pruning/SinE : 0
% 1.48/0.69 # Initial clauses : 137
% 1.48/0.69 # Removed in clause preprocessing : 1
% 1.48/0.69 # Initial clauses in saturation : 136
% 1.48/0.69 # Processed clauses : 2914
% 1.48/0.69 # ...of these trivial : 78
% 1.48/0.69 # ...subsumed : 987
% 1.48/0.69 # ...remaining for further processing : 1849
% 1.48/0.69 # Other redundant clauses eliminated : 20
% 1.48/0.69 # Clauses deleted for lack of memory : 0
% 1.48/0.69 # Backward-subsumed : 108
% 1.48/0.69 # Backward-rewritten : 653
% 1.48/0.69 # Generated clauses : 12016
% 1.48/0.69 # ...of the previous two non-redundant : 5738
% 1.48/0.69 # ...aggressively subsumed : 0
% 1.48/0.69 # Contextual simplify-reflections : 4
% 1.48/0.69 # Paramodulations : 11982
% 1.48/0.69 # Factorizations : 11
% 1.48/0.69 # NegExts : 0
% 1.48/0.69 # Equation resolutions : 26
% 1.48/0.69 # Disequality decompositions : 0
% 1.48/0.69 # Total rewrite steps : 10560
% 1.48/0.69 # ...of those cached : 10157
% 1.48/0.69 # Propositional unsat checks : 0
% 1.48/0.69 # Propositional check models : 0
% 1.48/0.69 # Propositional check unsatisfiable : 0
% 1.48/0.69 # Propositional clauses : 0
% 1.48/0.69 # Propositional clauses after purity: 0
% 1.48/0.69 # Propositional unsat core size : 0
% 1.48/0.69 # Propositional preprocessing time : 0.000
% 1.48/0.69 # Propositional encoding time : 0.000
% 1.48/0.69 # Propositional solver time : 0.000
% 1.48/0.69 # Success case prop preproc time : 0.000
% 1.48/0.69 # Success case prop encoding time : 0.000
% 1.48/0.69 # Success case prop solver time : 0.000
% 1.48/0.69 # Current number of processed clauses : 955
% 1.48/0.69 # Positive orientable unit clauses : 411
% 1.48/0.69 # Positive unorientable unit clauses: 1
% 1.48/0.69 # Negative unit clauses : 147
% 1.48/0.69 # Non-unit-clauses : 396
% 1.48/0.69 # Current number of unprocessed clauses: 2484
% 1.48/0.69 # ...number of literals in the above : 9194
% 1.48/0.69 # Current number of archived formulas : 0
% 1.48/0.69 # Current number of archived clauses : 882
% 1.48/0.69 # Clause-clause subsumption calls (NU) : 51345
% 1.48/0.69 # Rec. Clause-clause subsumption calls : 33266
% 1.48/0.69 # Non-unit clause-clause subsumptions : 956
% 1.48/0.69 # Unit Clause-clause subsumption calls : 5048
% 1.48/0.69 # Rewrite failures with RHS unbound : 0
% 1.48/0.69 # BW rewrite match attempts : 514
% 1.48/0.69 # BW rewrite match successes : 73
% 1.48/0.69 # Condensation attempts : 0
% 1.48/0.69 # Condensation successes : 0
% 1.48/0.69 # Termbank termtop insertions : 156490
% 1.48/0.69 # Search garbage collected termcells : 1502
% 1.48/0.69
% 1.48/0.69 # -------------------------------------------------
% 1.48/0.69 # User time : 0.205 s
% 1.48/0.69 # System time : 0.006 s
% 1.48/0.69 # Total time : 0.212 s
% 1.48/0.69 # Maximum resident set size: 2184 pages
% 1.48/0.69
% 1.48/0.69 # -------------------------------------------------
% 1.48/0.69 # User time : 0.208 s
% 1.48/0.69 # System time : 0.009 s
% 1.48/0.69 # Total time : 0.216 s
% 1.48/0.69 # Maximum resident set size: 1756 pages
% 1.48/0.69 % E---3.1 exiting
%------------------------------------------------------------------------------