TSTP Solution File: GEO037-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:13:20 EDT 2022
% Result : Unsatisfiable 22.61s 22.77s
% Output : Refutation 22.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 22 ( 5 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 35 ( 6 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_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
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(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(e2_1,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_1) ).
cnf(prove_lengthen,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).
cnf(60,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
inference('REWRITE',[status(thm)],[prove_lengthen,segment_construction1]) ).
cnf(71,plain,
~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,e2_1]) ).
cnf(86,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[d2,segment_construction2]) ).
cnf(571,plain,
~ equidistant(X,X,lower_dimension_point_1,lower_dimension_point_2),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,71,reflexivity_for_equidistance]) ).
cnf(7295,plain,
equidistant(X,extension(Y,X,Z,U),V,extension(W,V,Z,U)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,86,86]) ).
cnf(7296,plain,
v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2),
inference('REWRITE',[status(thm)],[60,7295]) ).
cnf(8457,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[segment_construction2,7296,theory(equality)]),571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.11 % Command : run-snark %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 18 04:44:01 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 *
% 0.15/0.39 *
% 0.15/0.39 #<PACKAGE "SNARK-USER">
% 0.15/0.39 *
% 0.15/0.39 SNARK-TPTP-OPTIONS
% 0.15/0.39 *
% 0.15/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.39 (USE-FACTORING :POS)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.39 *
% 0.15/0.39 "."
% 0.15/0.39 *
% 0.15/0.39 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:44:01
% 0.15/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T04:44:01
% 0.15/0.40
% 22.61/22.77 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 22.61/22.77
% 22.61/22.77 #||
% 22.61/22.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.61/22.77 % SZS output start Refutation
% See solution above
% 22.61/22.77 ||#
% 22.61/22.77
% 22.61/22.77 ; Summary of computation:
% 22.61/22.77 ; 44259 formulas have been input or derived (from 232 formulas).
% 22.61/22.77 ; 8457 (19%) were retained. Of these,
% 22.61/22.77 ; 88 ( 1%) were simplified or subsumed later,
% 22.61/22.77 ; 8369 (99%) are still being kept.
% 22.61/22.77 ;
% 22.61/22.77 ; Run time in seconds excluding printing time:
% 22.61/22.77 ; 0.008 0% Read assertion file (1 call)
% 22.61/22.77 ; 0.000 0% Assert (61 calls)
% 22.61/22.77 ; 0.678 3% Process new row (38,029 calls)
% 22.61/22.77 ; 20.589 92% Resolution (462 calls)
% 22.61/22.77 ; 0.009 0% Paramodulation (231 calls)
% 22.61/22.77 ; 0.000 0% Factoring (1 call)
% 22.61/22.77 ; 0.004 0% Condensing (340 calls)
% 22.61/22.77 ; 0.010 0% Forward subsumption (340 calls)
% 22.61/22.77 ; 0.008 0% Backward subsumption (275 calls)
% 22.61/22.77 ; 0.009 0% Clause clause subsumption (5,007 calls)
% 22.61/22.77 ; 0.781 3% Forward simplification (38,029 calls)
% 22.61/22.77 ; 0.136 1% Backward simplification (8,455 calls)
% 22.61/22.77 ; 0.004 0% Ordering (1,000 calls)
% 22.61/22.77 ; 0.000 0% Sortal reasoning (32 calls)
% 22.61/22.77 ; 0.000 0% Purity testing (1 call)
% 22.61/22.77 ; 0.145 1% Other
% 22.61/22.77 ; 22.381 Total
% 22.61/22.77 ; 22.384 Real time
% 22.61/22.78 ;
% 22.61/22.78 ; Term-hash-array has 13,437 terms in all.
% 22.61/22.78 ; Feature-vector-row-index has 268 entries (268 at peak, 275 added, 7 deleted).
% 22.61/22.78 ; Feature-vector-row-index has 331 nodes (331 at peak, 365 added, 34 deleted).
% 22.61/22.78 ; Retrieved 4,238 possibly forward subsuming rows in 340 calls.
% 22.61/22.78 ; Retrieved 1,370 possibly backward subsumed rows in 275 calls.
% 22.61/22.78 ; Path-index has 13,327 entries (13,327 at peak, 13,455 added, 128 deleted).
% 22.61/22.78 ; Path-index has 7,268 nodes (7,268 at peak, 7,342 added, 74 deleted).
% 22.61/22.78 ; Trie-index has 13,327 entries (13,327 at peak, 13,455 added, 128 deleted).
% 22.61/22.78 ; Trie-index has 123,975 nodes (123,975 at peak, 124,447 added, 472 deleted).
% 22.61/22.78 ; Retrieved 321,120 generalization terms in 121,954 calls.
% 22.61/22.78 ; Retrieved 9,479 instance terms in 8,179 calls.
% 22.61/22.78 ; Retrieved 42,078,106 unifiable terms in 440,100 calls.
% 22.61/22.78 ;
% 22.61/22.78 ; The agenda of rows to process has 13 entries:
% 22.61/22.78 ; 1 with value 8 4 with value 12 1 with value 15
% 22.61/22.78 ; 1 with value 10 1 with value 13 1 with value 17
% 22.61/22.78 ; 4 with value 11
% 22.61/22.78 ; The agenda of rows to give has 8138 entries:
% 22.61/22.78 ; 156 with value (4 12) 151 with value (4 35) 9 with value (4 58)
% 22.61/22.78 ; 135 with value (4 13) 230 with value (4 36) 21 with value (4 59)
% 22.61/22.78 ; 264 with value (4 14) 88 with value (4 37) 31 with value (4 60)
% 22.61/22.78 ; 282 with value (4 15) 151 with value (4 38) 43 with value (4 61)
% 22.61/22.78 ; 348 with value (4 16) 131 with value (4 39) 6 with value (4 62)
% 22.61/22.78 ; 206 with value (4 17) 210 with value (4 40) 22 with value (4 63)
% 22.61/22.78 ; 274 with value (4 18) 80 with value (4 41) 10 with value (4 64)
% 22.61/22.78 ; 171 with value (4 19) 97 with value (4 42) 19 with value (4 65)
% 22.61/22.78 ; 219 with value (4 20) 80 with value (4 43) 6 with value (4 67)
% 22.61/22.78 ; 206 with value (4 21) 124 with value (4 44) 12 with value (4 68)
% 22.61/22.78 ; 356 with value (4 22) 52 with value (4 45) 18 with value (4 69)
% 22.61/22.78 ; 280 with value (4 23) 68 with value (4 46) 6 with value (4 70)
% 22.61/22.78 ; 244 with value (4 24) 99 with value (4 47) 2 with value (4 72)
% 22.61/22.78 ; 247 with value (4 25) 132 with value (4 48) 2 with value (4 75)
% 22.61/22.78 ; 318 with value (4 26) 30 with value (4 49) 2 with value (4 76)
% 22.61/22.78 ; 330 with value (4 27) 58 with value (4 50) 10 with value (4 77)
% 22.61/22.78 ; 265 with value (4 28) 86 with value (4 51) 4 with value (4 80)
% 22.61/22.78 ; 200 with value (4 29) 88 with value (4 52) 4 with value (4 83)
% 22.61/22.78 ; 248 with value (4 30) 40 with value (4 53) 2 with value (4 90)
% 22.61/22.78 ; 249 with value (4 31) 24 with value (4 54) 2 with value (4 93)
% 22.61/22.78 ; 293 with value (4 32) 60 with value (4 55) 4 with value (4 97)
% 22.61/22.78 ; 163 with value (4 33) 48 with value (4 56) 2 with value (4 99)
% 22.61/22.78 ; 276 with value (4 34) 42 with value (4 57) 2 with value (4 117)
% 22.61/22.78 Evaluation took:
% 22.61/22.78 22.385 seconds of real time
% 22.61/22.78 22.051327 seconds of user run time
% 22.61/22.78 0.33185 seconds of system run time
% 22.61/22.78 [Run times include 1.015 seconds GC run time.]
% 22.61/22.78 0 calls to %EVAL
% 22.61/22.78 0 page faults and
% 22.61/22.78 954,849,400 bytes consed.
% 22.61/22.78 :PROOF-FOUND
% 22.61/22.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:44:24
% 22.61/22.78 :PROOF-FOUND
% 22.61/22.78 *
%------------------------------------------------------------------------------