TSTP Solution File: GEO030-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 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(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(28,plain,
~ equidistant(w,w1,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_w_is_w1]) ).
cnf(39,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(99,plain,
~ equidistant(X,X,w,w1),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,28,reflexivity_for_equidistance]) ).
cnf(115,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[outer_five_segment,39,39,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]),99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 16:34:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:34:22
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T16:34:22
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 669 formulas have been input or derived (from 39 formulas).
% 0.39/0.60 ; 115 (17%) were retained. Of these,
% 0.39/0.60 ; 2 ( 2%) were simplified or subsumed later,
% 0.39/0.60 ; 113 (98%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.006 5% Read assertion file (1 call)
% 0.39/0.60 ; 0.000 0% Assert (23 calls)
% 0.39/0.60 ; 0.006 5% Process new row (259 calls)
% 0.39/0.60 ; 0.077 62% Resolution (76 calls)
% 0.39/0.60 ; 0.001 1% Paramodulation (38 calls)
% 0.39/0.60 ; 0.001 1% Condensing (29 calls)
% 0.39/0.60 ; 0.000 0% Forward subsumption (29 calls)
% 0.39/0.60 ; 0.001 1% Backward subsumption (27 calls)
% 0.39/0.60 ; 0.000 0% Clause clause subsumption (33 calls)
% 0.39/0.60 ; 0.006 5% Forward simplification (259 calls)
% 0.39/0.60 ; 0.002 2% Backward simplification (115 calls)
% 0.39/0.60 ; 0.000 0% Ordering (37 calls)
% 0.39/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.025 20% Other
% 0.39/0.60 ; 0.125 Total
% 0.39/0.60 ; 0.127 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 200 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.39/0.60 ; Retrieved 26 possibly forward subsuming rows in 29 calls.
% 0.39/0.60 ; Retrieved 7 possibly backward subsumed rows in 27 calls.
% 0.39/0.60 ; Path-index has 205 entries (205 at peak, 207 added, 2 deleted).
% 0.39/0.60 ; Path-index has 601 nodes (601 at peak, 601 added, 0 deleted).
% 0.39/0.60 ; Trie-index has 205 entries (205 at peak, 207 added, 2 deleted).
% 0.39/0.60 ; Trie-index has 1,232 nodes (1,232 at peak, 1,236 added, 4 deleted).
% 0.39/0.60 ; Retrieved 340 generalization terms in 435 calls.
% 0.39/0.60 ; Retrieved 116 instance terms in 87 calls.
% 0.39/0.60 ; Retrieved 71,069 unifiable terms in 7,096 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of rows to process has 343 entries:
% 0.39/0.60 ; 35 with value 8 86 with value 17 1 with value 24
% 0.39/0.60 ; 84 with value 12 1 with value 19 1 with value 25
% 0.39/0.60 ; 12 with value 13 1 with value 20 16 with value 26
% 0.39/0.60 ; 16 with value 14 42 with value 21 1 with value 27
% 0.39/0.60 ; 16 with value 15 30 with value 22 1 with value 30
% 0.39/0.60 ; The agenda of rows to give has 74 entries:
% 0.39/0.60 ; 2 with value (4 7) 5 with value (4 17) 1 with value (4 29)
% 0.39/0.60 ; 10 with value (4 8) 6 with value (4 18) 1 with value (4 30)
% 0.39/0.60 ; 1 with value (4 10) 1 with value (4 19) 2 with value (4 31)
% 0.39/0.60 ; 2 with value (4 11) 7 with value (4 21) 1 with value (4 34)
% 0.39/0.60 ; 5 with value (4 12) 4 with value (4 22) 2 with value (4 35)
% 0.39/0.60 ; 8 with value (4 13) 5 with value (4 25) 4 with value (4 38)
% 0.39/0.60 ; 2 with value (4 14) 1 with value (4 26) 1 with value (4 42)
% 0.39/0.60 ; 3 with value (4 15)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.128 seconds of real time
% 0.39/0.60 0.12265 seconds of user run time
% 0.39/0.60 0.004705 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 6,809,128 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:34:22
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------