TSTP Solution File: GEO056-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO056-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Sat Jul 16 06:13:30 EDT 2022
% Result : Unsatisfiable 0.42s 0.62s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 7 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(u_equals_v,hypothesis,
u = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_equals_v) ).
cnf(prove_v_equals_reflection,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
cnf(22,plain,
u != reflection(u,u),
inference('REWRITE',[status(thm)],[prove_v_equals_reflection,u_equals_v,theory(equality)]) ).
cnf(27,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(99,plain,
reflection(X,X) = X,
inference('PARAMODULATE',[status(thm)],[reflection,27,theory(equality)]) ).
cnf(102,plain,
$false,
inference('REWRITE',[status(thm)],[22,99,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO056-2 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 17:02:28 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:02:28
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-17T17:02:28
% 0.42/0.62
% 0.42/0.62
% 0.42/0.62 #||
% 0.42/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.62 % SZS output start Refutation
% See solution above
% 0.42/0.62 ||#
% 0.42/0.62
% 0.42/0.62 ; Summary of computation:
% 0.42/0.62 ; 365 formulas have been input or derived (from 28 formulas).
% 0.42/0.62 ; 102 (28%) were retained. Of these,
% 0.42/0.62 ; 49 (48%) were simplified or subsumed later,
% 0.42/0.62 ; 53 (52%) are still being kept.
% 0.42/0.62 ;
% 0.42/0.62 ; Run time in seconds:
% 0.42/0.62 ; 0.006 6% Read assertion file (1 call)
% 0.42/0.62 ; 0.001 1% Assert (21 calls)
% 0.42/0.62 ; 0.009 9% Process new row (267 calls)
% 0.42/0.62 ; 0.046 45% Resolution (54 calls)
% 0.42/0.62 ; 0.000 0% Paramodulation (27 calls)
% 0.42/0.62 ; 0.000 0% Condensing (38 calls)
% 0.42/0.62 ; 0.002 2% Forward subsumption (38 calls)
% 0.42/0.62 ; 0.001 1% Backward subsumption (31 calls)
% 0.42/0.62 ; 0.000 0% Clause clause subsumption (53 calls)
% 0.42/0.62 ; 0.006 6% Forward simplification (267 calls)
% 0.42/0.62 ; 0.006 6% Backward simplification (101 calls)
% 0.42/0.62 ; 0.001 1% Ordering (33 calls)
% 0.42/0.62 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.62 ; 0.000 0% Purity testing (1 call)
% 0.42/0.62 ; 0.023 23% Other
% 0.42/0.62 ; 0.102 Total
% 0.42/0.62 ; 0.102 Real time
% 0.42/0.62 ;
% 0.42/0.62 ; Term-hash-array has 192 terms in all.
% 0.42/0.62 ; Feature-vector-row-index has 26 entries (27 at peak, 31 added, 5 deleted).
% 0.42/0.62 ; Feature-vector-row-index has 79 nodes (80 at peak, 87 added, 8 deleted).
% 0.42/0.62 ; Retrieved 44 possibly forward subsuming rows in 38 calls.
% 0.42/0.62 ; Retrieved 11 possibly backward subsumed rows in 31 calls.
% 0.42/0.62 ; Path-index has 111 entries (184 at peak, 199 added, 88 deleted).
% 0.42/0.62 ; Path-index has 728 nodes (958 at peak, 976 added, 248 deleted).
% 0.42/0.62 ; Trie-index has 111 entries (184 at peak, 199 added, 88 deleted).
% 0.42/0.62 ; Trie-index has 455 nodes (1,276 at peak, 1,337 added, 882 deleted).
% 0.42/0.62 ; Retrieved 682 generalization terms in 492 calls.
% 0.42/0.62 ; Retrieved 211 instance terms in 69 calls.
% 0.42/0.62 ; Retrieved 30,803 unifiable terms in 3,141 calls.
% 0.42/0.62 ;
% 0.42/0.62 ; The agenda of backward simplifiable rows to process has 26 entries:
% 0.42/0.62 ; 26 with value 0
% 0.42/0.62 ; The agenda of rows to give has 29 entries:
% 0.42/0.62 ; 1 with value (4 7) 1 with value (4 16) 1 with value (4 27)
% 0.42/0.62 ; 1 with value (4 8) 1 with value (4 17) 1 with value (4 28)
% 0.42/0.62 ; 1 with value (4 9) 1 with value (4 18) 1 with value (4 29)
% 0.42/0.62 ; 1 with value (4 10) 1 with value (4 19) 1 with value (4 33)
% 0.42/0.62 ; 2 with value (4 12) 2 with value (4 22) 1 with value (4 37)
% 0.42/0.62 ; 1 with value (4 13) 4 with value (4 24) 1 with value (4 39)
% 0.42/0.62 ; 1 with value (4 14) 1 with value (4 25) 1 with value (4 42)
% 0.42/0.62 ; 1 with value (4 15) 2 with value (4 26)
% 0.42/0.62 Evaluation took:
% 0.42/0.62 0.102 seconds of real time
% 0.42/0.62 0.097532 seconds of user run time
% 0.42/0.62 0.004997 seconds of system run time
% 0.42/0.62 0 calls to %EVAL
% 0.42/0.62 0 page faults and
% 0.42/0.62 4,994,880 bytes consed.
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:02:28
% 0.42/0.62 :PROOF-FOUND
% 0.42/0.62 *
%------------------------------------------------------------------------------