TSTP Solution File: GEO058-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:13:31 EDT 2022
% Result : Unsatisfiable 0.56s 0.71s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 4 equ; 6 neg)
% Maximal clause size : 3 ( 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 : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(v_equals_reflection,hypothesis,
v = reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_equals_reflection) ).
cnf(prove_u_equals_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_equals_v) ).
cnf(24,plain,
~ equidistant(u,v,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_u_equals_v]) ).
cnf(28,plain,
equidistant(X,reflection(Y,X),Y,X),
inference('PARAMODULATE',[status(thm)],[segment_construction2,reflection,theory(equality)]) ).
cnf(45,plain,
~ equidistant(X,X,u,v),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,24,reflexivity_for_equidistance]) ).
cnf(194,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,v_equals_reflection,theory(equality)]),45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 15:21:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:21:34
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T15:21:34
% 0.56/0.71
% 0.56/0.71
% 0.56/0.71 #||
% 0.56/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.71 % SZS output start Refutation
% See solution above
% 0.56/0.71 ||#
% 0.56/0.71
% 0.56/0.71 ; Summary of computation:
% 0.56/0.71 ; 1261 formulas have been input or derived (from 36 formulas).
% 0.56/0.71 ; 194 (15%) were retained. Of these,
% 0.56/0.71 ; 31 (16%) were simplified or subsumed later,
% 0.56/0.71 ; 163 (84%) are still being kept.
% 0.56/0.71 ;
% 0.56/0.71 ; Run time in seconds:
% 0.56/0.71 ; 0.006 2% Read assertion file (1 call)
% 0.56/0.71 ; 0.001 0% Assert (21 calls)
% 0.56/0.71 ; 0.018 7% Process new row (815 calls)
% 0.56/0.71 ; 0.181 72% Resolution (70 calls)
% 0.56/0.71 ; 0.001 0% Paramodulation (35 calls)
% 0.56/0.71 ; 0.001 0% Condensing (72 calls)
% 0.56/0.71 ; 0.002 1% Forward subsumption (72 calls)
% 0.56/0.71 ; 0.000 0% Backward subsumption (58 calls)
% 0.56/0.71 ; 0.000 0% Clause clause subsumption (251 calls)
% 0.56/0.71 ; 0.010 4% Forward simplification (815 calls)
% 0.56/0.71 ; 0.003 1% Backward simplification (194 calls)
% 0.56/0.71 ; 0.000 0% Ordering (116 calls)
% 0.56/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.71 ; 0.000 0% Purity testing (1 call)
% 0.56/0.71 ; 0.027 11% Other
% 0.56/0.71 ; 0.250 Total
% 0.56/0.71 ; 0.251 Real time
% 0.56/0.71 ;
% 0.56/0.71 ; Term-hash-array has 362 terms in all.
% 0.56/0.71 ; Feature-vector-row-index has 47 entries (47 at peak, 58 added, 11 deleted).
% 0.56/0.71 ; Feature-vector-row-index has 98 nodes (119 at peak, 145 added, 47 deleted).
% 0.56/0.71 ; Retrieved 129 possibly forward subsuming rows in 72 calls.
% 0.56/0.71 ; Retrieved 126 possibly backward subsumed rows in 58 calls.
% 0.56/0.71 ; Path-index has 322 entries (322 at peak, 371 added, 49 deleted).
% 0.56/0.71 ; Path-index has 1,077 nodes (1,077 at peak, 1,119 added, 42 deleted).
% 0.56/0.71 ; Trie-index has 322 entries (322 at peak, 371 added, 49 deleted).
% 0.56/0.71 ; Trie-index has 1,884 nodes (1,884 at peak, 2,148 added, 264 deleted).
% 0.56/0.71 ; Retrieved 2,494 generalization terms in 1,697 calls.
% 0.56/0.71 ; Retrieved 317 instance terms in 135 calls.
% 0.56/0.71 ; Retrieved 293,449 unifiable terms in 11,862 calls.
% 0.56/0.71 ;
% 0.56/0.71 ; The agenda of rows to process has 78 entries:
% 0.56/0.71 ; 2 with value 9 8 with value 20 1 with value 28
% 0.56/0.71 ; 12 with value 11 1 with value 21 1 with value 29
% 0.56/0.71 ; 4 with value 12 1 with value 22 1 with value 30
% 0.56/0.71 ; 1 with value 14 2 with value 23 3 with value 34
% 0.56/0.71 ; 11 with value 16 4 with value 24 1 with value 35
% 0.56/0.71 ; 1 with value 17 2 with value 25 1 with value 36
% 0.56/0.71 ; 5 with value 18 8 with value 26 1 with value 43
% 0.56/0.71 ; 2 with value 19 4 with value 27 1 with value 44
% 0.56/0.71 ; The agenda of rows to give has 128 entries:
% 0.56/0.71 ; 2 with value (4 12) 15 with value (4 23) 4 with value (4 36)
% 0.56/0.71 ; 3 with value (4 13) 8 with value (4 24) 3 with value (4 37)
% 0.56/0.71 ; 6 with value (4 14) 4 with value (4 25) 2 with value (4 38)
% 0.56/0.71 ; 1 with value (4 15) 3 with value (4 26) 1 with value (4 39)
% 0.56/0.71 ; 3 with value (4 16) 7 with value (4 27) 1 with value (4 40)
% 0.56/0.71 ; 4 with value (4 17) 4 with value (4 28) 1 with value (4 42)
% 0.56/0.71 ; 7 with value (4 18) 3 with value (4 29) 1 with value (4 45)
% 0.56/0.71 ; 13 with value (4 19) 1 with value (4 30) 1 with value (4 46)
% 0.56/0.71 ; 4 with value (4 20) 4 with value (4 32) 1 with value (4 53)
% 0.56/0.71 ; 7 with value (4 21) 4 with value (4 33) 1 with value (4 54)
% 0.56/0.71 ; 7 with value (4 22) 2 with value (4 35)
% 0.56/0.71 Evaluation took:
% 0.56/0.71 0.251 seconds of real time
% 0.56/0.71 0.237838 seconds of user run time
% 0.56/0.71 0.013651 seconds of system run time
% 0.56/0.71 [Run times include 0.006 seconds GC run time.]
% 0.56/0.71 0 calls to %EVAL
% 0.56/0.71 0 page faults and
% 0.56/0.71 14,333,480 bytes consed.
% 0.56/0.71 :PROOF-FOUND
% 0.56/0.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:21:34
% 0.56/0.71 :PROOF-FOUND
% 0.56/0.71 *
%------------------------------------------------------------------------------