TSTP Solution File: GEO040-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 06:13:22 EDT 2022
% Result : Unsatisfiable 116.88s 117.08s
% Output : Refutation 116.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 3 equ; 7 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 : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 12 ( 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(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
cnf(prove_u_is_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).
cnf(52,plain,
~ between(u,v,u),
inference('UR-RESOLVE',[status(thm)],[identity_for_betweeness,prove_u_is_v]) ).
cnf(109,plain,
between(v,inner_pasch(u,v,w,u,v),v),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,v_between_u_and_w,u_between_v_and_w]) ).
cnf(134,plain,
between(u,inner_pasch(u,v,w,u,v),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,v_between_u_and_w,u_between_v_and_w]) ).
cnf(16444,plain,
v = inner_pasch(u,v,w,u,v),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,109]) ).
cnf(16445,plain,
$false,
inference('REWRITE',[status(thm)],[134,52,16444,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 17:10:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:10:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-18T17:10:24
% 0.20/0.49
% 116.88/117.08 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 116.88/117.08
% 116.88/117.08 #||
% 116.88/117.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 116.88/117.08 % SZS output start Refutation
% See solution above
% 116.88/117.09 ||#
% 116.88/117.09
% 116.88/117.09 ; Summary of computation:
% 116.88/117.09 ; 172279 formulas have been input or derived (from 191 formulas).
% 116.88/117.09 ; 16445 (10%) were retained. Of these,
% 116.88/117.09 ; 1494 ( 9%) were simplified or subsumed later,
% 116.88/117.09 ; 14951 (91%) are still being kept.
% 116.88/117.09 ;
% 116.88/117.09 ; Run time in seconds:
% 116.88/117.09 ; 0.011 0% Read assertion file (1 call)
% 116.88/117.09 ; 0.001 0% Assert (50 calls)
% 116.88/117.09 ; 2.042 2% Process new row (159,759 calls)
% 116.88/117.09 ; 109.001 93% Resolution (380 calls)
% 116.88/117.09 ; 0.013 0% Paramodulation (190 calls)
% 116.88/117.09 ; 0.000 0% Factoring (1 call)
% 116.88/117.09 ; 0.013 0% Condensing (963 calls)
% 116.88/117.09 ; 0.121 0% Forward subsumption (963 calls)
% 116.88/117.09 ; 0.057 0% Backward subsumption (850 calls)
% 116.88/117.09 ; 0.050 0% Clause clause subsumption (36,124 calls)
% 116.88/117.09 ; 4.225 4% Forward simplification (159,759 calls)
% 116.88/117.09 ; 0.632 1% Backward simplification (16,444 calls)
% 116.88/117.09 ; 0.004 0% Ordering (2,522 calls)
% 116.88/117.09 ; 0.000 0% Sortal reasoning (32 calls)
% 116.88/117.09 ; 0.000 0% Purity testing (1 call)
% 116.88/117.09 ; 0.437 0% Other
% 116.88/117.09 ; 116.607 Total
% 116.88/117.09 ; 116.612 Real time
% 116.88/117.09 ;
% 116.88/117.09 ; Term-hash-array has 29,882 terms in all.
% 116.88/117.09 ; Feature-vector-row-index has 694 entries (694 at peak, 850 added, 156 deleted).
% 116.88/117.09 ; Feature-vector-row-index has 1,488 nodes (1,488 at peak, 1,987 added, 499 deleted).
% 116.88/117.09 ; Retrieved 26,230 possibly forward subsuming rows in 963 calls.
% 116.88/117.09 ; Retrieved 11,711 possibly backward subsumed rows in 850 calls.
% 116.88/117.09 ; Path-index has 27,127 entries (27,129 at peak, 30,081 added, 2,954 deleted).
% 116.88/117.09 ; Path-index has 13,900 nodes (13,900 at peak, 14,382 added, 482 deleted).
% 116.88/117.09 ; Trie-index has 27,127 entries (27,129 at peak, 30,081 added, 2,954 deleted).
% 116.88/117.09 ; Trie-index has 256,006 nodes (256,012 at peak, 289,602 added, 33,596 deleted).
% 116.88/117.09 ; Retrieved 2,019,584 generalization terms in 437,749 calls.
% 116.88/117.09 ; Retrieved 60,036 instance terms in 15,593 calls.
% 116.88/117.09 ; Retrieved 179,478,538 unifiable terms in 1,619,054 calls.
% 116.88/117.09 ;
% 116.88/117.09 ; The agenda of rows to process has 936 entries:
% 116.88/117.09 ; 4 with value 13 6 with value 33 12 with value 53
% 116.88/117.09 ; 1 with value 16 62 with value 34 6 with value 54
% 116.88/117.09 ; 8 with value 17 11 with value 35 10 with value 55
% 116.88/117.09 ; 5 with value 18 18 with value 36 16 with value 57
% 116.88/117.09 ; 12 with value 19 39 with value 37 16 with value 58
% 116.88/117.09 ; 5 with value 20 38 with value 38 4 with value 59
% 116.88/117.09 ; 4 with value 21 68 with value 39 4 with value 60
% 116.88/117.09 ; 10 with value 22 6 with value 40 9 with value 61
% 116.88/117.09 ; 4 with value 23 16 with value 41 5 with value 62
% 116.88/117.09 ; 44 with value 24 2 with value 42 24 with value 63
% 116.88/117.09 ; 1 with value 25 14 with value 43 1 with value 67
% 116.88/117.09 ; 8 with value 26 36 with value 44 1 with value 68
% 116.88/117.09 ; 24 with value 27 20 with value 45 6 with value 72
% 116.88/117.09 ; 48 with value 28 18 with value 47 8 with value 73
% 116.88/117.09 ; 64 with value 29 16 with value 48 16 with value 74
% 116.88/117.09 ; 34 with value 30 46 with value 49 4 with value 78
% 116.88/117.09 ; 10 with value 31 10 with value 51 4 with value 93
% 116.88/117.09 ; 64 with value 32 14 with value 52
% 116.88/117.09 ; The agenda of rows to give has 14761 entries:
% 116.88/117.09 ; 113 with value (4 12) 440 with value (4 36) 96 with value (4 60)
% 116.88/117.09 ; 199 with value (4 13) 150 with value (4 37) 67 with value (4 61)
% 116.88/117.09 ; 133 with value (4 14) 248 with value (4 38) 7 with value (4 62)
% 116.88/117.09 ; 141 with value (4 15) 267 with value (4 39) 56 with value (4 63)
% 116.88/117.09 ; 218 with value (4 16) 431 with value (4 40) 46 with value (4 64)
% 116.88/117.09 ; 193 with value (4 17) 261 with value (4 41) 20 with value (4 65)
% 116.88/117.09 ; 433 with value (4 18) 265 with value (4 42) 12 with value (4 66)
% 116.88/117.09 ; 300 with value (4 19) 253 with value (4 43) 43 with value (4 67)
% 116.88/117.09 ; 279 with value (4 20) 393 with value (4 44) 39 with value (4 68)
% 116.88/117.09 ; 284 with value (4 21) 164 with value (4 45) 16 with value (4 69)
% 116.88/117.09 ; 473 with value (4 22) 167 with value (4 46) 10 with value (4 70)
% 116.88/117.09 ; 567 with value (4 23) 339 with value (4 47) 26 with value (4 72)
% 116.88/117.09 ; 443 with value (4 24) 353 with value (4 48) 36 with value (4 73)
% 116.88/117.09 ; 456 with value (4 25) 215 with value (4 49) 8 with value (4 75)
% 116.88/117.09 ; 689 with value (4 26) 116 with value (4 50) 8 with value (4 76)
% 116.88/117.09 ; 631 with value (4 27) 214 with value (4 51) 18 with value (4 77)
% 116.88/117.09 ; 527 with value (4 28) 200 with value (4 52) 4 with value (4 78)
% 116.88/117.09 ; 381 with value (4 29) 107 with value (4 53) 8 with value (4 80)
% 116.88/117.09 ; 532 with value (4 30) 35 with value (4 54) 8 with value (4 83)
% 116.88/117.09 ; 486 with value (4 31) 164 with value (4 55) 8 with value (4 90)
% 116.88/117.09 ; 527 with value (4 32) 168 with value (4 56) 12 with value (4 93)
% 116.88/117.09 ; 239 with value (4 33) 110 with value (4 57) 8 with value (4 97)
% 116.88/117.09 ; 468 with value (4 34) 26 with value (4 58) 8 with value (4 99)
% 116.88/117.09 ; 351 with value (4 35) 40 with value (4 59) 8 with value (4 117)
% 116.88/117.09 Evaluation took:
% 116.88/117.09 116.614 seconds of real time
% 116.88/117.09 115.29098 seconds of user run time
% 116.88/117.09 1.318614 seconds of system run time
% 116.88/117.09 [Run times include 6.669 seconds GC run time.]
% 116.88/117.09 0 calls to %EVAL
% 116.88/117.09 0 page faults and
% 116.88/117.09 4,046,096,920 bytes consed.
% 116.88/117.09 :PROOF-FOUND
% 116.88/117.09 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:12:21
% 116.88/117.09 :PROOF-FOUND
% 116.88/117.09 *
%------------------------------------------------------------------------------