TSTP Solution File: CSR009+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CSR009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 23:17:59 EDT 2022
% Result : Theorem 0.51s 0.69s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of clauses : 52 ( 29 unt; 7 nHn; 49 RR)
% Number of literals : 90 ( 17 equ; 45 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 56 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ stoppedIn(X,Y,Z)
| less(X,'SKOLEMAAAV2'(X,Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
cnf(3,axiom,
( ~ stoppedIn(X,Y,Z)
| less('SKOLEMAAAV2'(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(12,axiom,
( ~ holdsAt(X,Y)
| releasedAt(X,plus(Y,n1))
| happens('SKOLEMAAAV5'(Y,X),Y)
| holdsAt(X,plus(Y,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_holding) ).
cnf(19,axiom,
( releasedAt(X,Y)
| releases('SKOLEMAAAV8'(Y,X),X,Y)
| ~ releasedAt(X,plus(Y,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
cnf(20,axiom,
( ~ happens(X,Y)
| ~ initiates(X,Z,Y)
| holdsAt(Z,plus(Y,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
cnf(23,axiom,
( ~ happens(X,Y)
| ~ initiates(X,Z,Y)
| ~ releasedAt(Z,plus(Y,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
cnf(43,axiom,
( initiates(X,Y,Z)
| X != tapOn
| Y != filling ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
cnf(53,axiom,
( ~ releases(X,Y,Z)
| Y = waterLevel('SKOLEMAAAV11'(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_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(68,axiom,
filling != waterLevel(X),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
cnf(74,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
cnf(77,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
cnf(83,axiom,
( ~ less_or_equal(X,Y)
| less(X,Y)
| 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(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(108,hypothesis,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
cnf(114,negated_conjecture,
~ holdsAt(filling,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_2) ).
cnf(115,plain,
less_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[85,theory(equality)]) ).
cnf(132,plain,
happens(tapOn,n0),
inference('HYPERRESOLVE',[status(thm)],[61,theory(equality),theory(equality)]) ).
cnf(146,plain,
initiates(tapOn,filling,X),
inference('HYPERRESOLVE',[status(thm)],[43,theory(equality),theory(equality)]) ).
cnf(151,plain,
~ releases(X,filling,Y),
inference('UR-RESOLVE',[status(thm)],[53,68]) ).
cnf(179,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference('HYPERRESOLVE',[status(thm)],[63,108,74]) ).
cnf(217,plain,
less(n2,n3),
inference('HYPERRESOLVE',[status(thm)],[92,115]) ).
cnf(220,plain,
less(n0,n1),
inference('HYPERRESOLVE',[status(thm)],[88,115]) ).
cnf(231,plain,
holdsAt(filling,n1),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[20,146,132]),74,theory(equality)]) ).
cnf(232,plain,
~ releasedAt(filling,n1),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[23,146,132]),74,theory(equality)]) ).
cnf(251,plain,
~ less(n3,n2),
inference('UR-RESOLVE',[status(thm)],[105,217]) ).
cnf(259,plain,
n0 != n1,
inference('UR-RESOLVE',[status(thm)],[106,220]) ).
cnf(260,plain,
( releasedAt(filling,n2)
| happens('SKOLEMAAAV5'(n1,filling),n1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,231]),114,77,theory(equality)]) ).
cnf(262,plain,
~ releasedAt(filling,n2),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[19,232,151]),77,theory(equality)]) ).
cnf(263,plain,
happens('SKOLEMAAAV5'(n1,filling),n1),
inference('REWRITE',[status(thm)],[260,262]) ).
cnf(282,plain,
~ less_or_equal(n3,n1),
inference('UR-RESOLVE',[status(thm)],[90,251]) ).
cnf(323,plain,
n3 != n1,
inference('UR-RESOLVE',[status(thm)],[85,282]) ).
cnf(340,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,179,132,146,220]),74,theory(equality)]) ).
cnf(374,plain,
holdsAt(waterLevel(n3),n1),
inference('UR-RESOLVE',[status(thm)],[58,263,259]) ).
cnf(483,plain,
~ holdsAt(waterLevel(n1),n1),
inference('UR-RESOLVE',[status(thm)],[64,374,323]) ).
cnf(484,plain,
stoppedIn(n0,filling,n1),
inference('REWRITE',[status(thm)],[340,483]) ).
cnf(492,plain,
less('SKOLEMAAAV2'(n0,n1,filling),n1),
inference('HYPERRESOLVE',[status(thm)],[3,484]) ).
cnf(493,plain,
less(n0,'SKOLEMAAAV2'(n0,n1,filling)),
inference('HYPERRESOLVE',[status(thm)],[2,484]) ).
cnf(581,plain,
less_or_equal('SKOLEMAAAV2'(n0,n1,filling),n0),
inference('HYPERRESOLVE',[status(thm)],[87,492]) ).
cnf(597,plain,
n0 != 'SKOLEMAAAV2'(n0,n1,filling),
inference('UR-RESOLVE',[status(thm)],[106,493]) ).
cnf(693,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[83,581,86]),597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR009+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 16:58:08 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 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 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 2022-06-10T16:58:08
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-10T16:58:08
% 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.
% 0.51/0.69 ; Declaring plus to be commutative.
% 0.51/0.69
% 0.51/0.69 #||
% 0.51/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.69 % SZS output start Refutation
% See solution above
% 0.51/0.70 ||#
% 0.51/0.70
% 0.51/0.70 ; Summary of computation:
% 0.51/0.70 ; 2508 formulas have been input or derived (from 425 formulas).
% 0.51/0.70 ; 693 (28%) were retained. Of these,
% 0.51/0.70 ; 52 ( 8%) were simplified or subsumed later,
% 0.51/0.70 ; 641 (92%) are still being kept.
% 0.51/0.70 ;
% 0.51/0.70 ; Run time in seconds excluding printing time:
% 0.51/0.70 ; 0.012 6% Read assertion file (1 call)
% 0.51/0.70 ; 0.005 2% Assert (55 calls)
% 0.51/0.70 ; 0.052 24% Process new row (2,083 calls)
% 0.51/0.70 ; 0.065 31% Resolution (848 calls)
% 0.51/0.70 ; 0.010 5% Paramodulation (424 calls)
% 0.51/0.70 ; 0.000 0% Factoring (19 calls)
% 0.51/0.70 ; 0.001 0% Condensing (352 calls)
% 0.51/0.70 ; 0.002 1% Forward subsumption (352 calls)
% 0.51/0.70 ; 0.002 1% Backward subsumption (229 calls)
% 0.51/0.70 ; 0.004 2% Clause clause subsumption (205 calls)
% 0.51/0.70 ; 0.024 11% Forward simplification (2,072 calls)
% 0.51/0.70 ; 0.005 2% Backward simplification (693 calls)
% 0.51/0.70 ; 0.002 1% Ordering (1,408 calls)
% 0.51/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.70 ; 0.000 0% Purity testing (1 call)
% 0.51/0.70 ; 0.029 14% Other
% 0.51/0.70 ; 0.213 Total
% 0.51/0.70 ; 0.227 Real time
% 0.51/0.70 ;
% 0.51/0.70 ; Term-hash-array has 819 terms in all.
% 0.51/0.70 ; Feature-vector-row-index has 189 entries (192 at peak, 229 added, 40 deleted).
% 0.51/0.70 ; Feature-vector-row-index has 758 nodes (758 at peak, 983 added, 225 deleted).
% 0.51/0.70 ; Retrieved 221 possibly forward subsuming rows in 352 calls.
% 0.51/0.70 ; Retrieved 50 possibly backward subsumed rows in 229 calls.
% 0.51/0.70 ; Path-index has 793 entries (793 at peak, 857 added, 64 deleted).
% 0.51/0.70 ; Path-index has 966 nodes (966 at peak, 1,026 added, 60 deleted).
% 0.51/0.70 ; Trie-index has 793 entries (793 at peak, 857 added, 64 deleted).
% 0.51/0.70 ; Trie-index has 1,573 nodes (1,573 at peak, 1,703 added, 130 deleted).
% 0.51/0.70 ; Retrieved 2,264 generalization terms in 3,754 calls.
% 0.51/0.70 ; Retrieved 510 instance terms in 463 calls.
% 0.51/0.70 ; Retrieved 61,390 unifiable terms in 8,041 calls.
% 0.51/0.70 ;
% 0.51/0.70 ; The agenda of rows to process has 2 entries:
% 0.51/0.70 ; 1 with value 14 1 with value 22
% 0.51/0.70 ; The agenda of rows to give has 225 entries:
% 0.51/0.70 ; 25 with value (4 13) 21 with value (4 19) 2 with value (4 24)
% 0.51/0.70 ; 50 with value (4 14) 7 with value (4 20) 3 with value (4 25)
% 0.51/0.70 ; 27 with value (4 15) 7 with value (4 21) 1 with value (4 29)
% 0.51/0.70 ; 25 with value (4 16) 5 with value (4 22) 1 with value (4 35)
% 0.51/0.70 ; 25 with value (4 17) 8 with value (4 23) 2 with value (4 36)
% 0.51/0.70 ; 16 with value (4 18)
% 0.51/0.70 Evaluation took:
% 0.51/0.70 0.227 seconds of real time
% 0.51/0.70 0.210014 seconds of user run time
% 0.51/0.70 0.017194 seconds of system run time
% 0.51/0.70 [Run times include 0.009 seconds GC run time.]
% 0.51/0.71 0 calls to %EVAL
% 0.51/0.71 0 page faults and
% 0.51/0.71 14,771,120 bytes consed.
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-10T16:58:08
% 0.51/0.71 :PROOF-FOUND
% 0.51/0.71 *
%------------------------------------------------------------------------------