TSTP Solution File: GEO042-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO042-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:13:23 EDT 2022
% Result : Unsatisfiable 194.23s 194.43s
% Output : Refutation 194.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 2 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(Y,inner_pasch(X,Y,Z,V,U),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(V,inner_pasch(X,Y,Z,V,U),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(t1,axiom,
( ~ between(X,Y,Z)
| between(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
cnf(prove_v_between_u_and_w,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
cnf(58,plain,
~ between(w,v,u),
inference('UR-RESOLVE',[status(thm)],[t1,prove_v_between_u_and_w]) ).
cnf(103,plain,
between(v,inner_pasch(u,v,x,w,v),v),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,v_between_u_and_x,w_between_v_and_x]) ).
cnf(128,plain,
between(w,inner_pasch(u,v,x,w,v),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,v_between_u_and_x,w_between_v_and_x]) ).
cnf(20816,plain,
v = inner_pasch(u,v,x,w,v),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,103]) ).
cnf(20817,plain,
$false,
inference('REWRITE',[status(thm)],[128,58,20816,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO042-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 11:52:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T11:52:25
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T11:52:25
% 0.21/0.50
% 194.23/194.43 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 194.23/194.43
% 194.23/194.43 #||
% 194.23/194.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 194.23/194.43 % SZS output start Refutation
% See solution above
% 194.23/194.43 ||#
% 194.23/194.43
% 194.23/194.43 ; Summary of computation:
% 194.23/194.43 ; 215546 formulas have been input or derived (from 265 formulas).
% 194.23/194.43 ; 20817 (10%) were retained. Of these,
% 194.23/194.43 ; 1948 ( 9%) were simplified or subsumed later,
% 194.23/194.43 ; 18869 (91%) are still being kept.
% 194.23/194.43 ;
% 194.23/194.43 ; Run time in seconds excluding printing time:
% 194.23/194.43 ; 0.012 0% Read assertion file (1 call)
% 194.23/194.43 ; 0.002 0% Assert (54 calls)
% 194.23/194.43 ; 2.858 1% Process new row (199,156 calls)
% 194.23/194.43 ; 184.234 95% Resolution (528 calls)
% 194.23/194.43 ; 0.017 0% Paramodulation (264 calls)
% 194.23/194.43 ; 0.000 0% Factoring (1 call)
% 194.23/194.43 ; 0.008 0% Condensing (1,020 calls)
% 194.23/194.43 ; 0.112 0% Forward subsumption (1,020 calls)
% 194.23/194.43 ; 0.057 0% Backward subsumption (901 calls)
% 194.23/194.43 ; 0.061 0% Clause clause subsumption (36,621 calls)
% 194.23/194.43 ; 5.157 3% Forward simplification (199,156 calls)
% 194.23/194.43 ; 0.864 0% Backward simplification (20,816 calls)
% 194.23/194.43 ; 0.009 0% Ordering (2,810 calls)
% 194.23/194.43 ; 0.000 0% Sortal reasoning (32 calls)
% 194.23/194.43 ; 0.000 0% Purity testing (1 call)
% 194.23/194.43 ; 0.570 0% Other
% 194.23/194.43 ; 193.961 Total
% 194.23/194.43 ; 193.953 Real time
% 194.23/194.43 ;
% 194.23/194.43 ; Term-hash-array has 37,445 terms in all.
% 194.23/194.43 ; Feature-vector-row-index has 696 entries (696 at peak, 901 added, 205 deleted).
% 194.23/194.43 ; Feature-vector-row-index has 1,493 nodes (1,493 at peak, 2,274 added, 781 deleted).
% 194.23/194.43 ; Retrieved 26,622 possibly forward subsuming rows in 1,020 calls.
% 194.23/194.43 ; Retrieved 11,838 possibly backward subsumed rows in 901 calls.
% 194.23/194.43 ; Path-index has 33,856 entries (33,858 at peak, 37,748 added, 3,892 deleted).
% 194.23/194.43 ; Path-index has 14,490 nodes (14,490 at peak, 15,106 added, 616 deleted).
% 194.23/194.43 ; Trie-index has 33,856 entries (33,858 at peak, 37,748 added, 3,892 deleted).
% 194.23/194.43 ; Trie-index has 318,377 nodes (318,386 at peak, 361,722 added, 43,345 deleted).
% 194.23/194.43 ; Retrieved 2,523,994 generalization terms in 534,597 calls.
% 194.23/194.43 ; Retrieved 74,757 instance terms in 19,914 calls.
% 194.23/194.43 ; Retrieved 227,456,683 unifiable terms in 2,048,306 calls.
% 194.23/194.43 ;
% 194.23/194.43 ; The agenda of rows to process has 936 entries:
% 194.23/194.43 ; 4 with value 13 6 with value 33 12 with value 53
% 194.23/194.43 ; 1 with value 16 62 with value 34 6 with value 54
% 194.23/194.43 ; 8 with value 17 11 with value 35 10 with value 55
% 194.23/194.43 ; 5 with value 18 18 with value 36 16 with value 57
% 194.23/194.43 ; 12 with value 19 39 with value 37 16 with value 58
% 194.23/194.43 ; 5 with value 20 38 with value 38 4 with value 59
% 194.23/194.43 ; 4 with value 21 68 with value 39 4 with value 60
% 194.23/194.43 ; 10 with value 22 6 with value 40 9 with value 61
% 194.23/194.43 ; 4 with value 23 16 with value 41 5 with value 62
% 194.23/194.43 ; 44 with value 24 2 with value 42 24 with value 63
% 194.23/194.43 ; 1 with value 25 14 with value 43 1 with value 67
% 194.23/194.43 ; 8 with value 26 36 with value 44 1 with value 68
% 194.23/194.43 ; 24 with value 27 20 with value 45 6 with value 72
% 194.23/194.43 ; 48 with value 28 18 with value 47 8 with value 73
% 194.23/194.43 ; 64 with value 29 16 with value 48 16 with value 74
% 194.23/194.43 ; 34 with value 30 46 with value 49 4 with value 78
% 194.23/194.43 ; 10 with value 31 10 with value 51 4 with value 93
% 194.23/194.43 ; 64 with value 32 14 with value 52
% 194.23/194.43 ; The agenda of rows to give has 18605 entries:
% 194.23/194.43 ; 146 with value (4 12) 525 with value (4 36) 102 with value (4 60)
% 194.23/194.43 ; 256 with value (4 13) 236 with value (4 37) 67 with value (4 61)
% 194.23/194.43 ; 184 with value (4 14) 308 with value (4 38) 9 with value (4 62)
% 194.23/194.43 ; 186 with value (4 15) 311 with value (4 39) 60 with value (4 63)
% 194.23/194.43 ; 339 with value (4 16) 495 with value (4 40) 48 with value (4 64)
% 194.23/194.43 ; 242 with value (4 17) 348 with value (4 41) 20 with value (4 65)
% 194.23/194.43 ; 549 with value (4 18) 345 with value (4 42) 16 with value (4 66)
% 194.23/194.43 ; 451 with value (4 19) 329 with value (4 43) 43 with value (4 67)
% 194.23/194.43 ; 417 with value (4 20) 475 with value (4 44) 41 with value (4 68)
% 194.23/194.43 ; 386 with value (4 21) 238 with value (4 45) 16 with value (4 69)
% 194.23/194.43 ; 547 with value (4 22) 215 with value (4 46) 10 with value (4 70)
% 194.23/194.43 ; 652 with value (4 23) 412 with value (4 47) 30 with value (4 72)
% 194.23/194.43 ; 585 with value (4 24) 429 with value (4 48) 36 with value (4 73)
% 194.23/194.43 ; 588 with value (4 25) 297 with value (4 49) 8 with value (4 75)
% 194.23/194.43 ; 846 with value (4 26) 166 with value (4 50) 8 with value (4 76)
% 194.23/194.43 ; 800 with value (4 27) 266 with value (4 51) 18 with value (4 77)
% 194.23/194.43 ; 721 with value (4 28) 232 with value (4 52) 4 with value (4 78)
% 194.23/194.43 ; 523 with value (4 29) 121 with value (4 53) 8 with value (4 80)
% 194.23/194.43 ; 652 with value (4 30) 27 with value (4 54) 8 with value (4 83)
% 194.23/194.43 ; 568 with value (4 31) 190 with value (4 55) 8 with value (4 90)
% 194.23/194.43 ; 642 with value (4 32) 212 with value (4 56) 12 with value (4 93)
% 194.23/194.43 ; 350 with value (4 33) 134 with value (4 57) 8 with value (4 97)
% 194.23/194.43 ; 576 with value (4 34) 28 with value (4 58) 8 with value (4 99)
% 194.23/194.43 ; 416 with value (4 35) 48 with value (4 59) 8 with value (4 117)
% 194.23/194.43 Evaluation took:
% 194.23/194.43 193.955 seconds of real time
% 194.23/194.43 192.15367 seconds of user run time
% 194.23/194.43 1.811168 seconds of system run time
% 194.23/194.43 [Run times include 9.321 seconds GC run time.]
% 194.23/194.43 0 calls to %EVAL
% 194.23/194.43 0 page faults and
% 194.23/194.43 5,124,423,760 bytes consed.
% 194.23/194.43 :PROOF-FOUND
% 194.23/194.43 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T11:55:39
% 194.23/194.43 :PROOF-FOUND
% 194.23/194.43 *
%------------------------------------------------------------------------------