TSTP Solution File: GEO026-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO026-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 06:13:14 EDT 2022
% Result : Unsatisfiable 0.64s 0.82s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 8 unt; 1 nHn; 9 RR)
% Number of literals : 18 ( 4 equ; 10 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(outer_five_segment,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(Y,V,U,W)
| ~ equidistant(X,X1,Z,Y1)
| ~ equidistant(Y,X1,U,Y1)
| ~ between(X,Y,V)
| ~ between(Z,U,W)
| X = Y
| equidistant(V,X1,W,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(d1,axiom,
equidistant(X,Y,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(v_to_w_equals_v_to_x,hypothesis,
equidistant(v,w,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(prove_w_is_x,negated_conjecture,
w != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_x) ).
cnf(48,plain,
~ equidistant(w,x,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_w_is_x]) ).
cnf(413,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,48,d1,v_to_w_equals_v_to_x,d1,d1,v_between_u_and_w,v_between_u_and_x,u_not_v]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO026-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 14:11:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:11:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-18T14:11:22
% 0.19/0.48
% 0.64/0.82 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 0.64/0.82
% 0.64/0.82 #||
% 0.64/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.82 % SZS output start Refutation
% See solution above
% 0.64/0.82 ||#
% 0.64/0.82
% 0.64/0.82 ; Summary of computation:
% 0.64/0.82 ; 1867 formulas have been input or derived (from 49 formulas).
% 0.64/0.82 ; 413 (22%) were retained. Of these,
% 0.64/0.82 ; 19 ( 5%) were simplified or subsumed later,
% 0.64/0.82 ; 394 (95%) are still being kept.
% 0.64/0.82 ;
% 0.64/0.82 ; Run time in seconds:
% 0.64/0.82 ; 0.009 3% Read assertion file (1 call)
% 0.64/0.82 ; 0.002 1% Assert (42 calls)
% 0.64/0.82 ; 0.033 9% Process new row (1,526 calls)
% 0.64/0.82 ; 0.253 71% Resolution (96 calls)
% 0.64/0.82 ; 0.001 0% Paramodulation (48 calls)
% 0.64/0.82 ; 0.000 0% Condensing (82 calls)
% 0.64/0.82 ; 0.003 1% Forward subsumption (82 calls)
% 0.64/0.82 ; 0.004 1% Backward subsumption (77 calls)
% 0.64/0.82 ; 0.001 0% Clause clause subsumption (349 calls)
% 0.64/0.82 ; 0.017 5% Forward simplification (1,526 calls)
% 0.64/0.82 ; 0.005 1% Backward simplification (413 calls)
% 0.64/0.82 ; 0.000 0% Ordering (88 calls)
% 0.64/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.64/0.82 ; 0.000 0% Purity testing (1 call)
% 0.64/0.82 ; 0.028 8% Other
% 0.64/0.82 ; 0.356 Total
% 0.64/0.82 ; 0.356 Real time
% 0.64/0.82 ;
% 0.64/0.82 ; Term-hash-array has 719 terms in all.
% 0.64/0.82 ; Feature-vector-row-index has 75 entries (75 at peak, 77 added, 2 deleted).
% 0.64/0.82 ; Feature-vector-row-index has 218 nodes (218 at peak, 218 added, 0 deleted).
% 0.64/0.82 ; Retrieved 141 possibly forward subsuming rows in 82 calls.
% 0.64/0.82 ; Retrieved 212 possibly backward subsumed rows in 77 calls.
% 0.64/0.82 ; Path-index has 705 entries (705 at peak, 727 added, 22 deleted).
% 0.64/0.82 ; Path-index has 1,454 nodes (1,454 at peak, 1,455 added, 1 deleted).
% 0.64/0.82 ; Trie-index has 705 entries (705 at peak, 727 added, 22 deleted).
% 0.64/0.82 ; Trie-index has 3,808 nodes (3,808 at peak, 3,867 added, 59 deleted).
% 0.64/0.82 ; Retrieved 5,344 generalization terms in 3,014 calls.
% 0.64/0.82 ; Retrieved 505 instance terms in 335 calls.
% 0.64/0.82 ; Retrieved 508,049 unifiable terms in 15,110 calls.
% 0.64/0.82 ;
% 0.64/0.82 ; The agenda of rows to process has 31 entries:
% 0.64/0.82 ; 1 with value 6 22 with value 8 3 with value 13
% 0.64/0.82 ; 2 with value 7 3 with value 11
% 0.64/0.82 ; The agenda of rows to give has 345 entries:
% 0.64/0.82 ; 11 with value (4 7) 5 with value (4 20) 7 with value (4 31)
% 0.64/0.82 ; 4 with value (4 8) 29 with value (4 21) 8 with value (4 32)
% 0.64/0.82 ; 12 with value (4 10) 15 with value (4 22) 6 with value (4 34)
% 0.64/0.82 ; 4 with value (4 11) 16 with value (4 23) 3 with value (4 35)
% 0.64/0.82 ; 26 with value (4 12) 4 with value (4 24) 3 with value (4 36)
% 0.64/0.82 ; 27 with value (4 13) 13 with value (4 25) 5 with value (4 38)
% 0.64/0.82 ; 6 with value (4 14) 6 with value (4 26) 1 with value (4 42)
% 0.64/0.82 ; 18 with value (4 15) 7 with value (4 27) 1 with value (4 44)
% 0.64/0.82 ; 12 with value (4 16) 7 with value (4 28) 1 with value (4 45)
% 0.64/0.82 ; 37 with value (4 17) 2 with value (4 29) 1 with value (4 52)
% 0.64/0.82 ; 27 with value (4 18) 2 with value (4 30) 1 with value (4 53)
% 0.64/0.82 ; 18 with value (4 19)
% 0.64/0.82 Evaluation took:
% 0.64/0.82 0.357 seconds of real time
% 0.64/0.82 0.335627 seconds of user run time
% 0.64/0.82 0.021169 seconds of system run time
% 0.64/0.82 [Run times include 0.007 seconds GC run time.]
% 0.64/0.82 0 calls to %EVAL
% 0.64/0.82 0 page faults and
% 0.64/0.82 19,699,728 bytes consed.
% 0.64/0.82 :PROOF-FOUND
% 0.64/0.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:11:22
% 0.64/0.82 :PROOF-FOUND
% 0.64/0.82 *
%------------------------------------------------------------------------------