TSTP Solution File: COM008+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 38.32s 38.50s
% Output : Refutation 38.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 24 unt; 6 nHn; 36 RR)
% Number of literals : 62 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ transitive_reflexive_rewrite(b,X)
| ~ transitive_reflexive_rewrite(c,X)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',found) ).
cnf(2,axiom,
transitive_reflexive_rewrite(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
cnf(3,axiom,
transitive_reflexive_rewrite(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
cnf(4,axiom,
equalish(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(5,axiom,
( ~ equalish(X,Y)
| transitive_reflexive_rewrite(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite) ).
cnf(7,axiom,
( ~ transitive_reflexive_rewrite(X,Y)
| ~ transitive_reflexive_rewrite(Y,Z)
| transitive_reflexive_rewrite(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite) ).
cnf(8,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| transitive_reflexive_rewrite(Y,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl) ).
cnf(9,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| transitive_reflexive_rewrite(Z,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl) ).
cnf(10,axiom,
( ~ rewrite(a,X)
| ~ transitive_reflexive_rewrite(X,Y)
| ~ transitive_reflexive_rewrite(X,Z)
| transitive_reflexive_rewrite(Y,'SKOLEMAAAV2'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl) ).
cnf(11,axiom,
( ~ rewrite(a,X)
| ~ transitive_reflexive_rewrite(X,Y)
| ~ transitive_reflexive_rewrite(X,Z)
| transitive_reflexive_rewrite(Z,'SKOLEMAAAV2'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl) ).
cnf(12,axiom,
( ~ transitive_reflexive_rewrite(X,Y)
| equalish(X,Y)
| rewrite(X,'SKOLEMAAAV3'(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
cnf(13,axiom,
( ~ transitive_reflexive_rewrite(X,Y)
| equalish(X,Y)
| transitive_reflexive_rewrite('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
cnf(14,negated_conjecture,
~ goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
cnf(15,plain,
( ~ transitive_reflexive_rewrite(b,X)
| ~ transitive_reflexive_rewrite(c,X) ),
inference('REWRITE',[status(thm)],[1,14]) ).
cnf(16,plain,
transitive_reflexive_rewrite(X,X),
inference('HYPERRESOLVE',[status(thm)],[5,4]) ).
cnf(17,plain,
( equalish(a,c)
| rewrite(a,'SKOLEMAAAV3'(a,c)) ),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(18,plain,
( equalish(a,b)
| rewrite(a,'SKOLEMAAAV3'(a,b)) ),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(19,plain,
( equalish(a,c)
| transitive_reflexive_rewrite('SKOLEMAAAV3'(a,c),c) ),
inference('HYPERRESOLVE',[status(thm)],[13,3]) ).
cnf(20,plain,
( equalish(a,b)
| transitive_reflexive_rewrite('SKOLEMAAAV3'(a,b),b) ),
inference('HYPERRESOLVE',[status(thm)],[13,2]) ).
cnf(21,plain,
~ transitive_reflexive_rewrite(c,b),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(22,plain,
~ transitive_reflexive_rewrite(b,c),
inference('UR-RESOLVE',[status(thm)],[15,16]) ).
cnf(25,plain,
~ transitive_reflexive_rewrite(c,a),
inference('UR-RESOLVE',[status(thm)],[7,21,2]) ).
cnf(27,plain,
~ transitive_reflexive_rewrite(b,a),
inference('UR-RESOLVE',[status(thm)],[7,22,3]) ).
cnf(29,plain,
~ equalish(a,c),
inference('UR-RESOLVE',[status(thm)],[5,25]) ).
cnf(30,plain,
rewrite(a,'SKOLEMAAAV3'(a,c)),
inference('REWRITE',[status(thm)],[17,29]) ).
cnf(31,plain,
transitive_reflexive_rewrite('SKOLEMAAAV3'(a,c),c),
inference('REWRITE',[status(thm)],[19,29]) ).
cnf(33,plain,
~ equalish(a,b),
inference('UR-RESOLVE',[status(thm)],[5,27]) ).
cnf(34,plain,
rewrite(a,'SKOLEMAAAV3'(a,b)),
inference('REWRITE',[status(thm)],[18,33]) ).
cnf(35,plain,
transitive_reflexive_rewrite('SKOLEMAAAV3'(a,b),b),
inference('REWRITE',[status(thm)],[20,33]) ).
cnf(48,plain,
transitive_reflexive_rewrite('SKOLEMAAAV3'(a,c),'SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c))),
inference('HYPERRESOLVE',[status(thm)],[9,34,30]) ).
cnf(50,plain,
transitive_reflexive_rewrite('SKOLEMAAAV3'(a,b),'SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c))),
inference('HYPERRESOLVE',[status(thm)],[8,34,30]) ).
cnf(470,plain,
transitive_reflexive_rewrite(c,'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c)),
inference('HYPERRESOLVE',[status(thm)],[11,48,30,31]) ).
cnf(476,plain,
transitive_reflexive_rewrite('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c)),
inference('HYPERRESOLVE',[status(thm)],[10,48,30,31]) ).
cnf(41085,plain,
transitive_reflexive_rewrite('SKOLEMAAAV3'(a,b),'SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c)),
inference('HYPERRESOLVE',[status(thm)],[7,476,50]) ).
cnf(43098,plain,
transitive_reflexive_rewrite(b,'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c),b)),
inference('HYPERRESOLVE',[status(thm)],[11,41085,34,35]) ).
cnf(43108,plain,
transitive_reflexive_rewrite('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c),'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c),b)),
inference('HYPERRESOLVE',[status(thm)],[10,41085,34,35]) ).
cnf(47088,plain,
~ transitive_reflexive_rewrite(c,'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV1'('SKOLEMAAAV3'(a,b),'SKOLEMAAAV3'(a,c)),c),b)),
inference('UR-RESOLVE',[status(thm)],[15,43098]) ).
cnf(102941,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,47088,470]),43108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% 0.15/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jun 16 17:04:45 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52 *
% 0.22/0.52 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:04:45
% 0.22/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-16T17:04:45
% 0.22/0.54
% 0.22/0.54 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 38.32/38.50 ; Declaring equalish to be commutative.
% 38.32/38.50
% 38.32/38.50 #||
% 38.32/38.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.32/38.50 % SZS output start Refutation
% See solution above
% 38.32/38.51 ||#
% 38.32/38.51
% 38.32/38.51 ; Summary of computation:
% 38.32/38.51 ; 188372 formulas have been input or derived (from 4753 formulas).
% 38.32/38.51 ; 102941 (55%) were retained. Of these,
% 38.32/38.51 ; 1257 ( 1%) were simplified or subsumed later,
% 38.32/38.51 ; 101684 (99%) are still being kept.
% 38.32/38.51 ;
% 38.32/38.51 ; Run time in seconds excluding printing time:
% 38.32/38.51 ; 0.002 0% Read assertion file (1 call)
% 38.32/38.51 ; 0.001 0% Assert (11 calls)
% 38.32/38.51 ; 13.789 36% Process new row (183,541 calls)
% 38.32/38.51 ; 17.236 45% Resolution (9,504 calls)
% 38.32/38.51 ; 0.180 0% Paramodulation (4,752 calls)
% 38.32/38.51 ; 0.000 0% Factoring (30 calls)
% 38.32/38.51 ; 0.011 0% Condensing (5,230 calls)
% 38.32/38.51 ; 1.591 4% Forward subsumption (5,230 calls)
% 38.32/38.51 ; 0.420 1% Backward subsumption (4,910 calls)
% 38.32/38.51 ; 0.465 1% Clause clause subsumption (191,211 calls)
% 38.32/38.51 ; 2.236 6% Forward simplification (183,541 calls)
% 38.32/38.51 ; 1.363 4% Backward simplification (102,941 calls)
% 38.32/38.51 ; 0.003 0% Ordering (3,288 calls)
% 38.32/38.51 ; 0.001 0% Sortal reasoning (32 calls)
% 38.32/38.51 ; 0.000 0% Purity testing (1 call)
% 38.32/38.51 ; 0.671 2% Other
% 38.32/38.51 ; 37.969 Total
% 38.32/38.51 ; 37.982 Real time
% 38.32/38.51 ;
% 38.32/38.51 ; Term-hash-array has 132,631 terms in all.
% 38.32/38.51 ; Feature-vector-row-index has 3,653 entries (3,653 at peak, 4,910 added, 1,257 deleted).
% 38.32/38.51 ; Feature-vector-row-index has 9,280 nodes (9,280 at peak, 15,647 added, 6,367 deleted).
% 38.32/38.51 ; Retrieved 152,333 possibly forward subsuming rows in 5,230 calls.
% 38.32/38.51 ; Retrieved 44,309 possibly backward subsumed rows in 4,910 calls.
% 38.32/38.51 ; Path-index has 132,635 entries (132,635 at peak, 134,439 added, 1,804 deleted).
% 38.32/38.51 ; Path-index has 5,833 nodes (5,833 at peak, 5,875 added, 42 deleted).
% 38.32/38.51 ; Trie-index has 132,635 entries (132,635 at peak, 134,439 added, 1,804 deleted).
% 38.32/38.51 ; Trie-index has 743,858 nodes (743,858 at peak, 754,061 added, 10,203 deleted).
% 38.32/38.51 ; Retrieved 186,266 generalization terms in 188,898 calls.
% 38.32/38.51 ; Retrieved 98,042 instance terms in 98,030 calls.
% 38.32/38.51 ; Retrieved 4,672,303 unifiable terms in 546,153 calls.
% 38.32/38.51 ;
% 38.32/38.51 ; The agenda of rows to process has 135 entries:
% 38.32/38.51 ; 35 with value 33 80 with value 35 16 with value 37
% 38.32/38.51 ; 4 with value 34
% 38.32/38.51 ; The agenda of rows to give has 96941 entries:
% 38.32/38.51 ; 337 with value (4 24) 3228 with value (4 36) 1927 with value (4 48)
% 38.32/38.51 ; 1972 with value (4 25) 3082 with value (4 37) 138 with value (4 49)
% 38.32/38.51 ; 1442 with value (4 26) 4344 with value (4 38) 90 with value (4 50)
% 38.32/38.51 ; 1891 with value (4 27) 2804 with value (4 39) 74 with value (4 51)
% 38.32/38.51 ; 2346 with value (4 28) 5644 with value (4 40) 62 with value (4 52)
% 38.32/38.51 ; 3018 with value (4 29) 4746 with value (4 41) 70 with value (4 53)
% 38.32/38.51 ; 3532 with value (4 30) 9344 with value (4 42) 80 with value (4 54)
% 38.32/38.51 ; 4875 with value (4 31) 3181 with value (4 43) 122 with value (4 55)
% 38.32/38.51 ; 5218 with value (4 32) 6222 with value (4 44) 86 with value (4 56)
% 38.32/38.51 ; 7173 with value (4 33) 1931 with value (4 45) 48 with value (4 57)
% 38.32/38.51 ; 4920 with value (4 34) 4827 with value (4 46) 13 with value (4 59)
% 38.32/38.51 ; 6758 with value (4 35) 1364 with value (4 47) 32 with value (4 60)
% 38.32/38.51 Evaluation took:
% 38.32/38.51 37.987 seconds of real time
% 38.32/38.51 35.803524 seconds of user run time
% 38.32/38.51 2.173901 seconds of system run time
% 38.32/38.51 [Run times include 11.313 seconds GC run time.]
% 38.32/38.51 0 calls to %EVAL
% 38.32/38.51 0 page faults and
% 38.32/38.51 1,955,212,384 bytes consed.
% 38.32/38.51 :PROOF-FOUND
% 38.32/38.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:05:23
% 38.32/38.51 :PROOF-FOUND
% 38.32/38.51 *
%------------------------------------------------------------------------------