TSTP Solution File: CSR007+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CSR007+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 23:17:58 EDT 2022
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of clauses : 63 ( 37 unt; 10 nHn; 57 RR)
% Number of literals : 102 ( 24 equ; 40 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 50 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ stoppedIn(X,Y,Z)
| happens('SKOLEMAAAU1'(X,Z,Y),'SKOLEMAAAU2'(X,Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(2,axiom,
( ~ stoppedIn(X,Y,Z)
| less(X,'SKOLEMAAAU2'(X,Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(3,axiom,
( ~ stoppedIn(X,Y,Z)
| less('SKOLEMAAAU2'(X,Z,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(11,axiom,
( ~ happens(X,Y)
| ~ initiates(X,Z,Y)
| ~ less(n0,U)
| ~ trajectory(Z,Y,V,U)
| stoppedIn(Y,Z,plus(Y,U))
| holdsAt(V,plus(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).
cnf(43,axiom,
( initiates(X,Y,Z)
| X != tapOn
| Y != filling ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
cnf(58,axiom,
( ~ happens(X,Y)
| Y = n0
| holdsAt(waterLevel(n3),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
cnf(61,axiom,
( happens(X,Y)
| X != tapOn
| Y != n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
cnf(63,axiom,
( ~ holdsAt(waterLevel(X),Y)
| Z != plus(X,U)
| trajectory(filling,Y,waterLevel(Z),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
cnf(64,axiom,
( ~ holdsAt(waterLevel(X),Y)
| ~ holdsAt(waterLevel(Z),Y)
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
cnf(74,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
cnf(75,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
cnf(83,axiom,
( ~ less_or_equal(X,Y)
| less(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
cnf(84,axiom,
( less_or_equal(X,Y)
| ~ less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
cnf(85,axiom,
( less_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
cnf(86,axiom,
~ less(X,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
cnf(87,axiom,
( ~ less(X,n1)
| less_or_equal(X,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
cnf(88,axiom,
( less(X,n1)
| ~ less_or_equal(X,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
cnf(89,axiom,
( ~ less(X,n2)
| less_or_equal(X,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
cnf(90,axiom,
( less(X,n2)
| ~ less_or_equal(X,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
cnf(92,axiom,
( less(X,n3)
| ~ less_or_equal(X,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
cnf(105,axiom,
( ~ less(X,Y)
| ~ less(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
cnf(106,axiom,
( ~ less(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
cnf(107,axiom,
( less(X,Y)
| less(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
cnf(108,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
cnf(114,negated_conjecture,
holdsAt(waterLevel(n3),n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterlevel_not_3) ).
cnf(115,plain,
less_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[85,theory(equality)]) ).
cnf(130,plain,
happens(tapOn,n0),
inference('HYPERRESOLVE',[status(thm)],[61,theory(equality),theory(equality)]) ).
cnf(140,plain,
( less(n1,X)
| X = n1
| less_or_equal(X,n0) ),
inference('HYPERRESOLVE',[status(thm)],[87,107]) ).
cnf(144,plain,
initiates(tapOn,filling,X),
inference('HYPERRESOLVE',[status(thm)],[43,theory(equality),theory(equality)]) ).
cnf(183,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference('HYPERRESOLVE',[status(thm)],[63,108,74]) ).
cnf(184,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference('HYPERRESOLVE',[status(thm)],[63,108,75]) ).
cnf(224,plain,
less(n2,n3),
inference('HYPERRESOLVE',[status(thm)],[92,115]) ).
cnf(227,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[88,115]) ).
cnf(257,plain,
n2 != n3,
inference('UR-RESOLVE',[status(thm)],[106,224]) ).
cnf(258,plain,
~ less(n3,n2),
inference('UR-RESOLVE',[status(thm)],[105,224]) ).
cnf(265,plain,
less_or_equal(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[84,227]) ).
cnf(266,plain,
n0 != n1,
inference('UR-RESOLVE',[status(thm)],[106,227]) ).
cnf(288,plain,
~ holdsAt(waterLevel(n2),n2),
inference('UR-RESOLVE',[status(thm)],[64,257,114]) ).
cnf(290,plain,
~ less_or_equal(n3,n1),
inference('UR-RESOLVE',[status(thm)],[90,258]) ).
cnf(298,plain,
less(n0,n2),
inference('HYPERRESOLVE',[status(thm)],[90,265]) ).
cnf(336,plain,
n3 != n1,
inference('UR-RESOLVE',[status(thm)],[85,290]) ).
cnf(353,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,183,130,144,227]),74,theory(equality)]) ).
cnf(354,plain,
stoppedIn(n0,filling,n2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,184,130,144,298]),288,75,theory(equality)]) ).
cnf(392,plain,
less('SKOLEMAAAU2'(n0,n2,filling),n2),
inference('HYPERRESOLVE',[status(thm)],[3,354]) ).
cnf(393,plain,
less(n0,'SKOLEMAAAU2'(n0,n2,filling)),
inference('HYPERRESOLVE',[status(thm)],[2,354]) ).
cnf(394,plain,
happens('SKOLEMAAAU1'(n0,n2,filling),'SKOLEMAAAU2'(n0,n2,filling)),
inference('HYPERRESOLVE',[status(thm)],[1,354]) ).
cnf(538,plain,
( less(n1,X)
| X = n1
| X = n0 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,140]),86]) ).
cnf(581,plain,
( holdsAt(waterLevel(n1),n1)
| less('SKOLEMAAAU2'(n0,n1,filling),n1) ),
inference('HYPERRESOLVE',[status(thm)],[3,353]) ).
cnf(582,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,'SKOLEMAAAU2'(n0,n1,filling)) ),
inference('HYPERRESOLVE',[status(thm)],[2,353]) ).
cnf(588,plain,
less_or_equal('SKOLEMAAAU2'(n0,n2,filling),n1),
inference('HYPERRESOLVE',[status(thm)],[89,392]) ).
cnf(592,plain,
n0 != 'SKOLEMAAAU2'(n0,n2,filling),
inference('UR-RESOLVE',[status(thm)],[106,393]) ).
cnf(683,plain,
( less('SKOLEMAAAU2'(n0,n2,filling),n1)
| 'SKOLEMAAAU2'(n0,n2,filling) = n1 ),
inference('HYPERRESOLVE',[status(thm)],[83,588]) ).
cnf(687,plain,
~ less_or_equal('SKOLEMAAAU2'(n0,n2,filling),n0),
inference('UR-RESOLVE',[status(thm)],[83,592,86]) ).
cnf(1038,plain,
~ less('SKOLEMAAAU2'(n0,n2,filling),n1),
inference('UR-RESOLVE',[status(thm)],[87,687]) ).
cnf(1039,plain,
'SKOLEMAAAU2'(n0,n2,filling) = n1,
inference('REWRITE',[status(thm)],[683,1038]) ).
cnf(1040,plain,
happens('SKOLEMAAAU1'(n0,n2,filling),n1),
inference('REWRITE',[status(thm)],[394,1039,theory(equality)]) ).
cnf(1042,plain,
holdsAt(waterLevel(n3),n1),
inference('UR-RESOLVE',[status(thm)],[58,1040,266]) ).
cnf(1169,plain,
~ holdsAt(waterLevel(n1),n1),
inference('UR-RESOLVE',[status(thm)],[64,1042,336]) ).
cnf(1171,plain,
less('SKOLEMAAAU2'(n0,n1,filling),n1),
inference('REWRITE',[status(thm)],[581,1169]) ).
cnf(1172,plain,
less(n0,'SKOLEMAAAU2'(n0,n1,filling)),
inference('REWRITE',[status(thm)],[582,1169]) ).
cnf(1181,plain,
'SKOLEMAAAU2'(n0,n1,filling) != n1,
inference('UR-RESOLVE',[status(thm)],[106,1171]) ).
cnf(1199,plain,
'SKOLEMAAAU2'(n0,n1,filling) = n0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[105,1171,538]),1181]) ).
cnf(1200,plain,
$false,
inference('REWRITE',[status(thm)],[1172,86,1199,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR007+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 21:47:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-10T21:47:52
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-10T21:47:52
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|plus| ?X ?Y) (|plus| ?Y ?X)).
% 0.19/0.50 WARNING:
% 0.19/0.50 |antitrajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.93 ; Declaring plus to be commutative.
% 0.77/0.93
% 0.77/0.93 #||
% 0.77/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation
% See solution above
% 0.77/0.93 ||#
% 0.77/0.93
% 0.77/0.93 ; Summary of computation:
% 0.77/0.93 ; 5586 formulas have been input or derived (from 584 formulas).
% 0.77/0.93 ; 1200 (21%) were retained. Of these,
% 0.77/0.93 ; 468 (39%) were simplified or subsumed later,
% 0.77/0.93 ; 732 (61%) are still being kept.
% 0.77/0.93 ;
% 0.77/0.93 ; Run time in seconds excluding printing time:
% 0.77/0.93 ; 0.012 3% Read assertion file (1 call)
% 0.77/0.93 ; 0.004 1% Assert (55 calls)
% 0.77/0.93 ; 0.057 13% Process new row (4,818 calls)
% 0.77/0.93 ; 0.132 29% Resolution (1,166 calls)
% 0.77/0.93 ; 0.015 3% Paramodulation (583 calls)
% 0.77/0.93 ; 0.000 0% Factoring (65 calls)
% 0.77/0.93 ; 0.010 2% Condensing (1,483 calls)
% 0.77/0.93 ; 0.055 12% Forward subsumption (1,483 calls)
% 0.77/0.93 ; 0.012 3% Backward subsumption (621 calls)
% 0.77/0.93 ; 0.006 1% Clause clause subsumption (1,212 calls)
% 0.77/0.93 ; 0.065 14% Forward simplification (4,599 calls)
% 0.77/0.93 ; 0.020 4% Backward simplification (1,200 calls)
% 0.77/0.93 ; 0.012 3% Ordering (4,939 calls)
% 0.77/0.93 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.93 ; 0.001 0% Purity testing (1 call)
% 0.77/0.93 ; 0.051 11% Other
% 0.77/0.93 ; 0.452 Total
% 0.77/0.93 ; 0.455 Real time
% 0.77/0.93 ;
% 0.77/0.93 ; Term-hash-array has 1,029 terms in all.
% 0.77/0.93 ; Feature-vector-row-index has 214 entries (520 at peak, 621 added, 407 deleted).
% 0.77/0.93 ; Feature-vector-row-index has 794 nodes (2,922 at peak, 3,353 added, 2,559 deleted).
% 0.77/0.93 ; Retrieved 2,389 possibly forward subsuming rows in 1,483 calls.
% 0.77/0.93 ; Retrieved 251 possibly backward subsumed rows in 621 calls.
% 0.77/0.93 ; Path-index has 881 entries (925 at peak, 1,121 added, 240 deleted).
% 0.77/0.93 ; Path-index has 981 nodes (997 at peak, 1,147 added, 166 deleted).
% 0.77/0.93 ; Trie-index has 881 entries (925 at peak, 1,121 added, 240 deleted).
% 0.77/0.93 ; Trie-index has 1,667 nodes (1,724 at peak, 2,165 added, 498 deleted).
% 0.77/0.93 ; Retrieved 6,129 generalization terms in 12,438 calls.
% 0.77/0.93 ; Retrieved 621 instance terms in 578 calls.
% 0.77/0.93 ; Retrieved 97,153 unifiable terms in 13,259 calls.
% 0.77/0.93 ;
% 0.77/0.93 ; The agenda of backward simplifiable rows to process has 22 entries:
% 0.77/0.93 ; 22 with value 0
% 0.77/0.93 ; The agenda of rows to process has 24 entries:
% 0.77/0.93 ; 2 with value 21 22 with value 24
% 0.77/0.93 ; The agenda of rows to give has 202 entries:
% 0.77/0.93 ; 6 with value (4 13) 13 with value (4 18) 7 with value (4 23)
% 0.77/0.93 ; 13 with value (4 14) 47 with value (4 19) 2 with value (4 24)
% 0.77/0.93 ; 1 with value (4 15) 41 with value (4 20) 2 with value (4 25)
% 0.77/0.93 ; 39 with value (4 16) 3 with value (4 21) 4 with value (4 28)
% 0.77/0.93 ; 22 with value (4 17) 2 with value (4 22)
% 0.77/0.93 Evaluation took:
% 0.77/0.93 0.455 seconds of real time
% 0.77/0.93 0.402374 seconds of user run time
% 0.77/0.93 0.053355 seconds of system run time
% 0.77/0.93 [Run times include 0.013 seconds GC run time.]
% 0.77/0.93 0 calls to %EVAL
% 0.77/0.93 0 page faults and
% 0.77/0.93 32,531,928 bytes consed.
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-10T21:47:53
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 *
%------------------------------------------------------------------------------