TSTP Solution File: GEO030-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO030-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:13:16 EDT 2022
% Result : Unsatisfiable 1.83s 2.05s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 14 ( 11 unt; 1 nHn; 12 RR)
% Number of literals : 24 ( 4 equ; 13 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(d1,axiom,
equidistant(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
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_to_w_equals_u_to_w1,hypothesis,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
cnf(v_to_w_equals_v_to_w1,hypothesis,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(prove_w_is_w1,negated_conjecture,
w != w1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).
cnf(79,plain,
~ equidistant(w,w1,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_w_is_w1]) ).
cnf(1029,plain,
equidistant(w,w,w,w1),
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,d1,d1,u_to_w_equals_u_to_w1,v_to_w_equals_v_to_w1,v_between_u_and_w,v_between_u_and_w,u_not_v]) ).
cnf(1577,plain,
~ equidistant(X,X,w,w1),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,79,reflexivity_for_equidistance]) ).
cnf(1578,plain,
$false,
inference('REWRITE',[status(thm)],[1029,1577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO030-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.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 09:23:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:23:28
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T09:23:28
% 0.19/0.48
% 1.83/2.05 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 1.83/2.05
% 1.83/2.05 #||
% 1.83/2.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.05 % SZS output start Refutation
% See solution above
% 1.83/2.05 ||#
% 1.83/2.05
% 1.83/2.05 ; Summary of computation:
% 1.83/2.05 ; 7492 formulas have been input or derived (from 84 formulas).
% 1.83/2.05 ; 1578 (21%) were retained. Of these,
% 1.83/2.05 ; 74 ( 5%) were simplified or subsumed later,
% 1.83/2.05 ; 1504 (95%) are still being kept.
% 1.83/2.05 ;
% 1.83/2.05 ; Run time in seconds excluding printing time:
% 1.83/2.05 ; 0.014 1% Read assertion file (1 call)
% 1.83/2.05 ; 0.003 0% Assert (69 calls)
% 1.83/2.05 ; 0.119 7% Process new row (6,155 calls)
% 1.83/2.05 ; 1.272 80% Resolution (166 calls)
% 1.83/2.05 ; 0.000 0% Paramodulation (83 calls)
% 1.83/2.05 ; 0.000 0% Factoring (1 call)
% 1.83/2.05 ; 0.005 0% Condensing (266 calls)
% 1.83/2.05 ; 0.014 1% Forward subsumption (266 calls)
% 1.83/2.05 ; 0.002 0% Backward subsumption (246 calls)
% 1.83/2.05 ; 0.004 0% Clause clause subsumption (2,386 calls)
% 1.83/2.05 ; 0.086 5% Forward simplification (6,155 calls)
% 1.83/2.05 ; 0.028 2% Backward simplification (1,577 calls)
% 1.83/2.05 ; 0.001 0% Ordering (479 calls)
% 1.83/2.05 ; 0.000 0% Sortal reasoning (32 calls)
% 1.83/2.05 ; 0.000 0% Purity testing (1 call)
% 1.83/2.05 ; 0.044 3% Other
% 1.83/2.05 ; 1.592 Total
% 1.83/2.05 ; 1.593 Real time
% 1.83/2.05 ;
% 1.83/2.05 ; Term-hash-array has 2,927 terms in all.
% 1.83/2.05 ; Feature-vector-row-index has 242 entries (242 at peak, 246 added, 4 deleted).
% 1.83/2.05 ; Feature-vector-row-index has 1,010 nodes (1,010 at peak, 1,020 added, 10 deleted).
% 1.83/2.05 ; Retrieved 2,033 possibly forward subsuming rows in 266 calls.
% 1.83/2.05 ; Retrieved 420 possibly backward subsumed rows in 246 calls.
% 1.83/2.05 ; Path-index has 2,808 entries (2,809 at peak, 2,949 added, 141 deleted).
% 1.83/2.05 ; Path-index has 3,164 nodes (3,181 at peak, 3,301 added, 137 deleted).
% 1.83/2.05 ; Trie-index has 2,808 entries (2,809 at peak, 2,949 added, 141 deleted).
% 1.83/2.05 ; Trie-index has 17,131 nodes (17,132 at peak, 17,692 added, 561 deleted).
% 1.83/2.05 ; Retrieved 39,886 generalization terms in 14,790 calls.
% 1.83/2.05 ; Retrieved 2,039 instance terms in 1,330 calls.
% 1.83/2.05 ; Retrieved 3,005,966 unifiable terms in 47,959 calls.
% 1.83/2.05 ;
% 1.83/2.05 ; The agenda of rows to process has 21 entries:
% 1.83/2.05 ; 14 with value 8 3 with value 11 3 with value 13
% 1.83/2.05 ; 1 with value 9
% 1.83/2.05 ; The agenda of rows to give has 1420 entries:
% 1.83/2.05 ; 29 with value (4 7) 43 with value (4 30) 3 with value (4 55)
% 1.83/2.05 ; 12 with value (4 8) 10 with value (4 31) 1 with value (4 56)
% 1.83/2.05 ; 21 with value (4 9) 28 with value (4 32) 11 with value (4 57)
% 1.83/2.05 ; 45 with value (4 10) 3 with value (4 33) 3 with value (4 58)
% 1.83/2.05 ; 39 with value (4 11) 28 with value (4 34) 4 with value (4 59)
% 1.83/2.05 ; 139 with value (4 12) 25 with value (4 35) 3 with value (4 61)
% 1.83/2.05 ; 40 with value (4 13) 22 with value (4 36) 2 with value (4 63)
% 1.83/2.05 ; 95 with value (4 14) 14 with value (4 38) 4 with value (4 65)
% 1.83/2.05 ; 70 with value (4 15) 3 with value (4 39) 1 with value (4 66)
% 1.83/2.05 ; 37 with value (4 16) 7 with value (4 40) 1 with value (4 67)
% 1.83/2.05 ; 156 with value (4 17) 5 with value (4 41) 3 with value (4 69)
% 1.83/2.05 ; 21 with value (4 18) 4 with value (4 42) 1 with value (4 70)
% 1.83/2.05 ; 107 with value (4 19) 2 with value (4 43) 1 with value (4 71)
% 1.83/2.05 ; 12 with value (4 20) 3 with value (4 44) 1 with value (4 73)
% 1.83/2.05 ; 84 with value (4 21) 6 with value (4 45) 2 with value (4 75)
% 1.83/2.05 ; 27 with value (4 22) 4 with value (4 46) 4 with value (4 77)
% 1.83/2.05 ; 48 with value (4 23) 8 with value (4 47) 1 with value (4 78)
% 1.83/2.05 ; 26 with value (4 24) 4 with value (4 48) 1 with value (4 81)
% 1.83/2.05 ; 34 with value (4 25) 2 with value (4 49) 2 with value (4 85)
% 1.83/2.05 ; 32 with value (4 26) 9 with value (4 51) 1 with value (4 87)
% 1.83/2.05 ; 13 with value (4 27) 3 with value (4 52) 1 with value (4 91)
% 1.83/2.05 ; 26 with value (4 28) 6 with value (4 53) 1 with value (4 95)
% 1.83/2.05 ; 14 with value (4 29) 1 with value (4 54) 1 with value (4 111)
% 1.83/2.05 Evaluation took:
% 1.83/2.05 1.593 seconds of real time
% 1.83/2.05 1.542445 seconds of user run time
% 1.83/2.05 0.050659 seconds of system run time
% 1.83/2.05 [Run times include 0.051 seconds GC run time.]
% 1.83/2.05 0 calls to %EVAL
% 1.83/2.05 0 page faults and
% 1.83/2.05 85,717,000 bytes consed.
% 1.83/2.05 :PROOF-FOUND
% 1.83/2.05 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T09:23:29
% 1.83/2.05 :PROOF-FOUND
% 1.83/2.05 *
%------------------------------------------------------------------------------