TSTP Solution File: COM007+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 01:42:38 EDT 2022
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 16 unt; 3 nHn; 24 RR)
% Number of literals : 41 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
reflexive_rewrite(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
cnf(2,axiom,
reflexive_rewrite(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
cnf(3,axiom,
( ~ reflexive_rewrite(b,X)
| ~ reflexive_rewrite(c,X)
| goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_ax) ).
cnf(4,axiom,
equalish(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(5,axiom,
( ~ equalish(X,Y)
| ~ reflexive_rewrite(Y,Z)
| reflexive_rewrite(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution) ).
cnf(6,axiom,
( ~ equalish(X,Y)
| reflexive_rewrite(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).
cnf(7,axiom,
( ~ rewrite(X,Y)
| reflexive_rewrite(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
cnf(8,axiom,
( ~ reflexive_rewrite(X,Y)
| equalish(X,Y)
| rewrite(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
cnf(9,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| rewrite(Y,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
cnf(10,axiom,
( ~ rewrite(X,Y)
| ~ rewrite(X,Z)
| rewrite(Z,'SKOLEMAAAV1'(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
cnf(11,negated_conjecture,
~ goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
cnf(12,plain,
( ~ reflexive_rewrite(b,X)
| ~ reflexive_rewrite(c,X) ),
inference('REWRITE',[status(thm)],[3,11]) ).
cnf(13,plain,
reflexive_rewrite(X,X),
inference('HYPERRESOLVE',[status(thm)],[6,4]) ).
cnf(14,plain,
( equalish(a,c)
| rewrite(a,c) ),
inference('HYPERRESOLVE',[status(thm)],[8,2]) ).
cnf(15,plain,
( equalish(a,b)
| rewrite(a,b) ),
inference('HYPERRESOLVE',[status(thm)],[8,1]) ).
cnf(16,plain,
~ reflexive_rewrite(c,b),
inference('UR-RESOLVE',[status(thm)],[12,13]) ).
cnf(17,plain,
~ reflexive_rewrite(b,c),
inference('UR-RESOLVE',[status(thm)],[12,13]) ).
cnf(18,plain,
~ equalish(a,c),
inference('UR-RESOLVE',[status(thm)],[5,16,1]) ).
cnf(19,plain,
rewrite(a,c),
inference('REWRITE',[status(thm)],[14,18]) ).
cnf(23,plain,
~ equalish(a,b),
inference('UR-RESOLVE',[status(thm)],[5,17,2]) ).
cnf(24,plain,
rewrite(a,b),
inference('REWRITE',[status(thm)],[15,23]) ).
cnf(26,plain,
rewrite(c,'SKOLEMAAAV1'(b,c)),
inference('HYPERRESOLVE',[status(thm)],[10,24,19]) ).
cnf(28,plain,
rewrite(b,'SKOLEMAAAV1'(b,c)),
inference('HYPERRESOLVE',[status(thm)],[9,24,19]) ).
cnf(33,plain,
reflexive_rewrite(c,'SKOLEMAAAV1'(b,c)),
inference('HYPERRESOLVE',[status(thm)],[7,26]) ).
cnf(41,plain,
reflexive_rewrite(b,'SKOLEMAAAV1'(b,c)),
inference('HYPERRESOLVE',[status(thm)],[7,28]) ).
cnf(62,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,33]),41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 20:06:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:06:21
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-16T20:06:21
% 0.21/0.51
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.36/0.53 ; Declaring equalish to be commutative.
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 186 formulas have been input or derived (from 30 formulas).
% 0.36/0.53 ; 62 (33%) were retained. Of these,
% 0.36/0.53 ; 3 ( 5%) were simplified or subsumed later,
% 0.36/0.53 ; 59 (95%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.003 8% Read assertion file (1 call)
% 0.36/0.53 ; 0.000 0% Assert (10 calls)
% 0.36/0.53 ; 0.005 14% Process new row (153 calls)
% 0.36/0.53 ; 0.002 6% Resolution (58 calls)
% 0.36/0.53 ; 0.000 0% Paramodulation (29 calls)
% 0.36/0.53 ; 0.001 3% Condensing (10 calls)
% 0.36/0.53 ; 0.000 0% Forward subsumption (10 calls)
% 0.36/0.53 ; 0.000 0% Backward subsumption (10 calls)
% 0.36/0.53 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.36/0.53 ; 0.000 0% Forward simplification (153 calls)
% 0.36/0.53 ; 0.002 6% Backward simplification (62 calls)
% 0.36/0.53 ; 0.000 0% Ordering (4 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.023 64% Other
% 0.36/0.53 ; 0.036 Total
% 0.36/0.53 ; 0.039 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 79 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 7 entries (9 at peak, 10 added, 3 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 15 nodes (24 at peak, 29 added, 14 deleted).
% 0.36/0.53 ; Retrieved 1 possibly forward subsuming row in 10 calls.
% 0.36/0.53 ; Retrieved 2 possibly backward subsumed rows in 10 calls.
% 0.36/0.53 ; Path-index has 83 entries (83 at peak, 87 added, 4 deleted).
% 0.36/0.53 ; Path-index has 90 nodes (90 at peak, 93 added, 3 deleted).
% 0.36/0.53 ; Trie-index has 83 entries (83 at peak, 87 added, 4 deleted).
% 0.36/0.53 ; Trie-index has 198 nodes (198 at peak, 204 added, 6 deleted).
% 0.36/0.53 ; Retrieved 111 generalization terms in 153 calls.
% 0.36/0.53 ; Retrieved 58 instance terms in 51 calls.
% 0.36/0.53 ; Retrieved 986 unifiable terms in 364 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of rows to process has 2 entries:
% 0.36/0.53 ; 1 with value 11 1 with value 18
% 0.36/0.53 ; The agenda of rows to give has 29 entries:
% 0.36/0.53 ; 4 with value (4 10) 1 with value (4 11) 24 with value (4 17)
% 0.36/0.53 Evaluation took:
% 0.36/0.53 0.039 seconds of real time
% 0.36/0.53 0.030108 seconds of user run time
% 0.36/0.53 0.009104 seconds of system run time
% 0.36/0.53 0 calls to %EVAL
% 0.36/0.53 0 page faults and
% 0.36/0.53 3,115,752 bytes consed.
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:06:21
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 *
%------------------------------------------------------------------------------