TSTP Solution File: CSR004+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Wed Aug 30 18:53:15 EDT 2023
% Result : Theorem 0.22s 0.61s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 45
% Syntax : Number of formulae : 53 ( 8 unt; 41 typ; 0 def)
% Number of atoms : 46 ( 15 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 52 ( 18 ~; 23 |; 10 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 26 >; 41 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
stoppedIn: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
happens: ( $i * $i ) > $o ).
tff(decl_24,type,
less: ( $i * $i ) > $o ).
tff(decl_25,type,
terminates: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
startedIn: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
initiates: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
n0: $i ).
tff(decl_29,type,
trajectory: ( $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
plus: ( $i * $i ) > $i ).
tff(decl_31,type,
holdsAt: ( $i * $i ) > $o ).
tff(decl_32,type,
antitrajectory: ( $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
n1: $i ).
tff(decl_34,type,
releasedAt: ( $i * $i ) > $o ).
tff(decl_35,type,
releases: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
tapOn: $i ).
tff(decl_37,type,
filling: $i ).
tff(decl_38,type,
overflow: $i ).
tff(decl_39,type,
spilling: $i ).
tff(decl_40,type,
waterLevel: $i > $i ).
tff(decl_41,type,
tapOff: $i ).
tff(decl_42,type,
n3: $i ).
tff(decl_43,type,
n2: $i ).
tff(decl_44,type,
n4: $i ).
tff(decl_45,type,
n5: $i ).
tff(decl_46,type,
n6: $i ).
tff(decl_47,type,
less_or_equal: ( $i * $i ) > $o ).
tff(decl_48,type,
n7: $i ).
tff(decl_49,type,
n8: $i ).
tff(decl_50,type,
n9: $i ).
tff(decl_51,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
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(overflow_3,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_3) ).
fof(filling_3,lemma,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3) ).
fof(waterLevel_3,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).
fof(c_0_4,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_5,plain,
( happens(X2,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| X2 != overflow ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
~ happens(overflow,n3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[overflow_3])]) ).
cnf(c_0_7,plain,
( happens(overflow,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,lemma,
holdsAt(filling,n3),
inference(split_conjunct,[status(thm)],[filling_3]) ).
cnf(c_0_9,lemma,
holdsAt(waterLevel(n3),n3),
inference(split_conjunct,[status(thm)],[waterLevel_3]) ).
cnf(c_0_10,negated_conjecture,
~ happens(overflow,n3),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 12:32:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.61 % Version : CSE_E---1.5
% 0.22/0.61 % Problem : theBenchmark.p
% 0.22/0.61 % Proof found
% 0.22/0.61 % SZS status Theorem for theBenchmark.p
% 0.22/0.61 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.021000 s
% 0.22/0.61 % SZS output end Proof
% 0.22/0.61 % Total time : 0.024000 s
%------------------------------------------------------------------------------