TSTP Solution File: COM007+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 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 01:42:39 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 8 unt; 8 nHn; 21 RR)
% Number of literals : 44 ( 15 equ; 14 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
reflexive_rewrite(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
cnf(2,axiom,
reflexive_rewrite(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
cnf(3,axiom,
( ~ reflexive_rewrite(b,X)
| ~ reflexive_rewrite(c,X)
| goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_ax) ).
cnf(4,axiom,
( X != Y
| reflexive_rewrite(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_in_reflexive_rewrite) ).
cnf(5,axiom,
( ~ rewrite(X,Y)
| reflexive_rewrite(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
cnf(6,axiom,
( ~ reflexive_rewrite(X,Y)
| X = Y
| rewrite(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite) ).
cnf(7,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| rewrite(Y,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).
cnf(8,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| rewrite(Z,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).
cnf(9,negated_conjecture,
~ goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
cnf(10,plain,
( ~ reflexive_rewrite(b,X)
| ~ reflexive_rewrite(c,X) ),
inference('REWRITE',[status(thm)],[3,9]) ).
cnf(11,plain,
reflexive_rewrite(X,X),
inference('HYPERRESOLVE',[status(thm)],[4,theory(equality)]) ).
cnf(12,plain,
( a = c
| rewrite(a,c) ),
inference('HYPERRESOLVE',[status(thm)],[6,2]) ).
cnf(13,plain,
( a = b
| rewrite(a,b) ),
inference('HYPERRESOLVE',[status(thm)],[6,1]) ).
cnf(14,plain,
~ reflexive_rewrite(c,b),
inference('UR-RESOLVE',[status(thm)],[10,11]) ).
cnf(15,plain,
~ reflexive_rewrite(b,c),
inference('UR-RESOLVE',[status(thm)],[10,11]) ).
cnf(21,plain,
( a = b
| a = c
| rewrite(c,'SKOLEMAAAV1'(b,c)) ),
inference('HYPERRESOLVE',[status(thm)],[8,13,12]) ).
cnf(22,plain,
( a = b
| a = c
| rewrite(b,'SKOLEMAAAV1'(b,c)) ),
inference('HYPERRESOLVE',[status(thm)],[7,13,12]) ).
cnf(29,plain,
( a = b
| a = c
| reflexive_rewrite(c,'SKOLEMAAAV1'(b,c)) ),
inference('HYPERRESOLVE',[status(thm)],[5,21]) ).
cnf(35,plain,
( a = b
| a = c
| reflexive_rewrite(b,'SKOLEMAAAV1'(b,c)) ),
inference('HYPERRESOLVE',[status(thm)],[5,22]) ).
cnf(55,plain,
( a = b
| a = c ),
inference('HYPERRESOLVE',[status(thm)],[10,35,29]) ).
cnf(60,plain,
a = b,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,55,theory(equality)]),1]) ).
cnf(63,plain,
$false,
inference('REWRITE',[status(thm)],[15,2,60,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 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 : 600
% 0.13/0.35 % DateTime : Thu Jun 16 17:36:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T17:36:26
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-16T17:36:26
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 124 formulas have been input or derived (from 29 formulas).
% 0.20/0.54 ; 63 (51%) were retained. Of these,
% 0.20/0.54 ; 47 (75%) were simplified or subsumed later,
% 0.20/0.54 ; 16 (25%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.54 ; 0.000 0% Assert (7 calls)
% 0.20/0.54 ; 0.007 14% Process new row (95 calls)
% 0.20/0.54 ; 0.004 8% Resolution (56 calls)
% 0.20/0.54 ; 0.001 2% Paramodulation (28 calls)
% 0.20/0.54 ; 0.000 0% Factoring (13 calls)
% 0.20/0.54 ; 0.001 2% Condensing (72 calls)
% 0.20/0.54 ; 0.005 10% Forward subsumption (72 calls)
% 0.20/0.54 ; 0.001 2% Backward subsumption (51 calls)
% 0.20/0.54 ; 0.001 2% Clause clause subsumption (323 calls)
% 0.20/0.54 ; 0.003 6% Forward simplification (94 calls)
% 0.20/0.54 ; 0.000 0% Backward simplification (63 calls)
% 0.20/0.54 ; 0.001 2% Ordering (277 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.023 47% Other
% 0.20/0.54 ; 0.049 Total
% 0.20/0.54 ; 0.053 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 79 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 10 entries (44 at peak, 51 added, 41 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 38 nodes (134 at peak, 165 added, 127 deleted).
% 0.20/0.54 ; Retrieved 422 possibly forward subsuming rows in 72 calls.
% 0.20/0.54 ; Retrieved 75 possibly backward subsumed rows in 51 calls.
% 0.20/0.54 ; Path-index has 24 entries (79 at peak, 87 added, 63 deleted).
% 0.20/0.54 ; Path-index has 71 nodes (92 at peak, 95 added, 24 deleted).
% 0.20/0.54 ; Trie-index has 24 entries (79 at peak, 87 added, 63 deleted).
% 0.20/0.54 ; Trie-index has 56 nodes (197 at peak, 207 added, 151 deleted).
% 0.20/0.54 ; Retrieved 22 generalization terms in 206 calls.
% 0.20/0.54 ; Retrieved 16 instance terms in 11 calls.
% 0.20/0.54 ; Retrieved 414 unifiable terms in 192 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of backward simplifiable rows to process has 10 entries:
% 0.20/0.54 ; 10 with value 0
% 0.20/0.54 ; The agenda of rows to process has 5 entries:
% 0.20/0.54 ; 1 with value 13 2 with value 17 2 with value 20
% 0.20/0.54 ; The agenda of input rows to give has 1 entry:
% 0.20/0.54 ; 1 with value 8
% 0.20/0.54 ; The agenda of rows to give has 3 entries:
% 0.20/0.54 ; 1 with value (4 6) 1 with value (4 9) 1 with value (4 21)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.053 seconds of real time
% 0.20/0.54 0.042144 seconds of user run time
% 0.20/0.54 0.011177 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,696,984 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T17:36:26
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------