TSTP Solution File: CSR008+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CSR008+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Fri Jul 15 23:17:58 EDT 2022
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of clauses : 61 ( 35 unt; 10 nHn; 55 RR)
% Number of literals : 100 ( 23 equ; 39 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('SKOLEMAAAV1'(X,Z,Y),'SKOLEMAAAV2'(X,Z,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(2,axiom,
( ~ stoppedIn(X,Y,Z)
| less(X,'SKOLEMAAAV2'(X,Z,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(3,axiom,
( ~ stoppedIn(X,Y,Z)
| less('SKOLEMAAAV2'(X,Z,Y),Z) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
cnf(43,axiom,
( initiates(X,Y,Z)
| X != tapOn
| Y != filling ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
cnf(58,axiom,
( ~ happens(X,Y)
| Y = n0
| holdsAt(waterLevel(n3),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
cnf(61,axiom,
( happens(X,Y)
| X != tapOn
| Y != n0 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
cnf(64,axiom,
( ~ holdsAt(waterLevel(X),Y)
| ~ holdsAt(waterLevel(Z),Y)
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
cnf(74,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
cnf(75,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
cnf(83,axiom,
( ~ less_or_equal(X,Y)
| less(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
cnf(84,axiom,
( less_or_equal(X,Y)
| ~ less(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
cnf(85,axiom,
( less_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
cnf(86,axiom,
~ less(X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
cnf(87,axiom,
( ~ less(X,n1)
| less_or_equal(X,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
cnf(88,axiom,
( less(X,n1)
| ~ less_or_equal(X,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
cnf(89,axiom,
( ~ less(X,n2)
| less_or_equal(X,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
cnf(90,axiom,
( less(X,n2)
| ~ less_or_equal(X,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
cnf(92,axiom,
( less(X,n3)
| ~ less_or_equal(X,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
cnf(105,axiom,
( ~ less(X,Y)
| ~ less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
cnf(106,axiom,
( ~ less(X,Y)
| X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
cnf(107,axiom,
( less(X,Y)
| less(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
cnf(108,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
cnf(114,negated_conjecture,
~ holdsAt(waterLevel(n2),n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_2) ).
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(177,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference('HYPERRESOLVE',[status(thm)],[63,108,74]) ).
cnf(178,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference('HYPERRESOLVE',[status(thm)],[63,108,75]) ).
cnf(215,plain,
less(n2,n3),
inference('HYPERRESOLVE',[status(thm)],[92,115]) ).
cnf(218,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[88,115]) ).
cnf(249,plain,
~ less(n3,n2),
inference('UR-RESOLVE',[status(thm)],[105,215]) ).
cnf(256,plain,
less_or_equal(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[84,218]) ).
cnf(257,plain,
n0 != n1,
inference('UR-RESOLVE',[status(thm)],[106,218]) ).
cnf(280,plain,
~ less_or_equal(n3,n1),
inference('UR-RESOLVE',[status(thm)],[90,249]) ).
cnf(287,plain,
less(n0,n2),
inference('HYPERRESOLVE',[status(thm)],[90,256]) ).
cnf(321,plain,
n3 != n1,
inference('UR-RESOLVE',[status(thm)],[85,280]) ).
cnf(338,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,177,130,144,218]),74,theory(equality)]) ).
cnf(339,plain,
stoppedIn(n0,filling,n2),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,178,130,144,287]),114,75,theory(equality)]) ).
cnf(375,plain,
less('SKOLEMAAAV2'(n0,n2,filling),n2),
inference('HYPERRESOLVE',[status(thm)],[3,339]) ).
cnf(376,plain,
less(n0,'SKOLEMAAAV2'(n0,n2,filling)),
inference('HYPERRESOLVE',[status(thm)],[2,339]) ).
cnf(377,plain,
happens('SKOLEMAAAV1'(n0,n2,filling),'SKOLEMAAAV2'(n0,n2,filling)),
inference('HYPERRESOLVE',[status(thm)],[1,339]) ).
cnf(519,plain,
( less(n1,X)
| X = n1
| X = n0 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,140]),86]) ).
cnf(558,plain,
( holdsAt(waterLevel(n1),n1)
| less('SKOLEMAAAV2'(n0,n1,filling),n1) ),
inference('HYPERRESOLVE',[status(thm)],[3,338]) ).
cnf(559,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,'SKOLEMAAAV2'(n0,n1,filling)) ),
inference('HYPERRESOLVE',[status(thm)],[2,338]) ).
cnf(565,plain,
less_or_equal('SKOLEMAAAV2'(n0,n2,filling),n1),
inference('HYPERRESOLVE',[status(thm)],[89,375]) ).
cnf(569,plain,
n0 != 'SKOLEMAAAV2'(n0,n2,filling),
inference('UR-RESOLVE',[status(thm)],[106,376]) ).
cnf(631,plain,
( less('SKOLEMAAAV2'(n0,n2,filling),n1)
| 'SKOLEMAAAV2'(n0,n2,filling) = n1 ),
inference('HYPERRESOLVE',[status(thm)],[83,565]) ).
cnf(635,plain,
~ less_or_equal('SKOLEMAAAV2'(n0,n2,filling),n0),
inference('UR-RESOLVE',[status(thm)],[83,569,86]) ).
cnf(692,plain,
~ less('SKOLEMAAAV2'(n0,n2,filling),n1),
inference('UR-RESOLVE',[status(thm)],[87,635]) ).
cnf(693,plain,
'SKOLEMAAAV2'(n0,n2,filling) = n1,
inference('REWRITE',[status(thm)],[631,692]) ).
cnf(694,plain,
happens('SKOLEMAAAV1'(n0,n2,filling),n1),
inference('REWRITE',[status(thm)],[377,693,theory(equality)]) ).
cnf(696,plain,
holdsAt(waterLevel(n3),n1),
inference('UR-RESOLVE',[status(thm)],[58,694,257]) ).
cnf(797,plain,
~ holdsAt(waterLevel(n1),n1),
inference('UR-RESOLVE',[status(thm)],[64,696,321]) ).
cnf(799,plain,
less('SKOLEMAAAV2'(n0,n1,filling),n1),
inference('REWRITE',[status(thm)],[558,797]) ).
cnf(800,plain,
less(n0,'SKOLEMAAAV2'(n0,n1,filling)),
inference('REWRITE',[status(thm)],[559,797]) ).
cnf(818,plain,
'SKOLEMAAAV2'(n0,n1,filling) != n1,
inference('UR-RESOLVE',[status(thm)],[106,799]) ).
cnf(836,plain,
'SKOLEMAAAV2'(n0,n1,filling) = n0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[105,799,519]),818]) ).
cnf(837,plain,
$false,
inference('REWRITE',[status(thm)],[800,86,836,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : CSR008+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.05/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jun 10 05:16:50 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.42 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 *
% 0.18/0.43 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.44 SNARK-TPTP-OPTIONS
% 0.18/0.44 *
% 0.18/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44 (USE-FACTORING :POS)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44 *
% 0.18/0.44 "."
% 0.18/0.44 *
% 0.18/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-10T05:16:50
% 0.18/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-10T05:16:50
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|plus| ?X ?Y) (|plus| ?Y ?X)).
% 0.18/0.47 WARNING:
% 0.18/0.47 |antitrajectory| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.76 ; Declaring plus to be commutative.
% 0.57/0.76
% 0.57/0.76 #||
% 0.57/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.76 ||#
% 0.57/0.76
% 0.57/0.76 ; Summary of computation:
% 0.57/0.76 ; 4156 formulas have been input or derived (from 561 formulas).
% 0.57/0.76 ; 837 (20%) were retained. Of these,
% 0.57/0.76 ; 125 (15%) were simplified or subsumed later,
% 0.57/0.76 ; 712 (85%) are still being kept.
% 0.57/0.76 ;
% 0.57/0.76 ; Run time in seconds excluding printing time:
% 0.57/0.76 ; 0.012 4% Read assertion file (1 call)
% 0.57/0.76 ; 0.004 1% Assert (55 calls)
% 0.57/0.76 ; 0.060 19% Process new row (3,430 calls)
% 0.57/0.76 ; 0.120 38% Resolution (1,120 calls)
% 0.57/0.76 ; 0.009 3% Paramodulation (560 calls)
% 0.57/0.76 ; 0.000 0% Factoring (58 calls)
% 0.57/0.76 ; 0.002 1% Condensing (560 calls)
% 0.57/0.76 ; 0.008 3% Forward subsumption (560 calls)
% 0.57/0.76 ; 0.004 1% Backward subsumption (279 calls)
% 0.57/0.76 ; 0.001 0% Clause clause subsumption (440 calls)
% 0.57/0.76 ; 0.039 12% Forward simplification (3,280 calls)
% 0.57/0.76 ; 0.010 3% Backward simplification (837 calls)
% 0.57/0.76 ; 0.005 2% Ordering (3,254 calls)
% 0.57/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.57/0.76 ; 0.000 0% Purity testing (1 call)
% 0.57/0.76 ; 0.044 14% Other
% 0.57/0.76 ; 0.318 Total
% 0.57/0.76 ; 0.322 Real time
% 0.57/0.76 ;
% 0.57/0.76 ; Term-hash-array has 932 terms in all.
% 0.57/0.76 ; Feature-vector-row-index has 211 entries (225 at peak, 279 added, 68 deleted).
% 0.57/0.76 ; Feature-vector-row-index has 769 nodes (903 at peak, 1,168 added, 399 deleted).
% 0.57/0.76 ; Retrieved 608 possibly forward subsuming rows in 560 calls.
% 0.57/0.76 ; Retrieved 54 possibly backward subsumed rows in 279 calls.
% 0.57/0.76 ; Path-index has 857 entries (882 at peak, 982 added, 125 deleted).
% 0.57/0.76 ; Path-index has 964 nodes (980 at peak, 1,092 added, 128 deleted).
% 0.57/0.76 ; Trie-index has 857 entries (882 at peak, 982 added, 125 deleted).
% 0.57/0.76 ; Trie-index has 1,610 nodes (1,667 at peak, 1,935 added, 325 deleted).
% 0.57/0.76 ; Retrieved 4,217 generalization terms in 6,842 calls.
% 0.57/0.76 ; Retrieved 598 instance terms in 557 calls.
% 0.57/0.76 ; Retrieved 86,515 unifiable terms in 11,863 calls.
% 0.57/0.76 ;
% 0.57/0.76 ; The agenda of backward simplifiable rows to process has 22 entries:
% 0.57/0.76 ; 22 with value 0
% 0.57/0.76 ; The agenda of rows to process has 24 entries:
% 0.57/0.76 ; 2 with value 21 22 with value 24
% 0.57/0.76 ; The agenda of rows to give has 198 entries:
% 0.57/0.76 ; 3 with value (4 13) 12 with value (4 18) 6 with value (4 23)
% 0.57/0.76 ; 8 with value (4 14) 48 with value (4 19) 2 with value (4 24)
% 0.57/0.76 ; 3 with value (4 15) 42 with value (4 20) 1 with value (4 25)
% 0.57/0.76 ; 43 with value (4 16) 3 with value (4 21) 4 with value (4 28)
% 0.57/0.76 ; 21 with value (4 17) 2 with value (4 22)
% 0.57/0.76 Evaluation took:
% 0.57/0.76 0.322 seconds of real time
% 0.57/0.76 0.291374 seconds of user run time
% 0.57/0.76 0.031286 seconds of system run time
% 0.57/0.76 [Run times include 0.008 seconds GC run time.]
% 0.57/0.76 0 calls to %EVAL
% 0.57/0.76 0 page faults and
% 0.57/0.76 20,215,208 bytes consed.
% 0.57/0.76 :PROOF-FOUND
% 0.57/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-10T05:16:50
% 0.57/0.76 :PROOF-FOUND
% 0.57/0.76 *
%------------------------------------------------------------------------------