TSTP Solution File: GEO034-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO034-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:13:18 EDT 2022
% Result : Unsatisfiable 2.55s 2.80s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 22 ( 2 equ; 12 neg)
% Maximal clause size : 7 ( 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(d1,axiom,
equidistant(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(d12,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,V,Z,W)
| ~ equidistant(X,X1,Z,Y1)
| ~ equidistant(V,X1,W,Y1)
| ~ between(X,Y,V)
| ~ between(Z,U,W)
| equidistant(Y,X1,U,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).
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_v_equals_u_to_x,hypothesis,
equidistant(u,v,u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).
cnf(w_to_v_equals_w_to_x,hypothesis,
equidistant(w,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).
cnf(prove_v_is_x,negated_conjecture,
v != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_is_x) ).
cnf(80,plain,
~ equidistant(v,x,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_v_is_x]) ).
cnf(932,plain,
equidistant(v,v,v,x),
inference('HYPERRESOLVE',[status(thm)],[d12,d1,d1,u_to_v_equals_u_to_x,w_to_v_equals_w_to_x,v_between_u_and_w,v_between_u_and_w]) ).
cnf(1236,plain,
~ equidistant(X,X,v,x),
inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,80,reflexivity_for_equidistance]) ).
cnf(1237,plain,
$false,
inference('REWRITE',[status(thm)],[932,1236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO034-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : run-snark %s %d
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jun 18 03:13:34 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.17/0.42 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 *
% 0.17/0.43 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44 *
% 0.17/0.44 "."
% 0.17/0.44 *
% 0.17/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T03:13:34
% 0.17/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T03:13:34
% 0.17/0.46
% 2.55/2.80 ; Recognized relation function assertion (|between| ?X ?Y (|reflection| ?X ?Y)).
% 2.55/2.80
% 2.55/2.80 #||
% 2.55/2.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.80 % SZS output start Refutation
% See solution above
% 2.55/2.80 ||#
% 2.55/2.80
% 2.55/2.80 ; Summary of computation:
% 2.55/2.80 ; 10996 formulas have been input or derived (from 81 formulas).
% 2.55/2.80 ; 1237 (11%) were retained. Of these,
% 2.55/2.80 ; 50 ( 4%) were simplified or subsumed later,
% 2.55/2.80 ; 1187 (96%) are still being kept.
% 2.55/2.80 ;
% 2.55/2.80 ; Run time in seconds excluding printing time:
% 2.55/2.80 ; 0.015 1% Read assertion file (1 call)
% 2.55/2.80 ; 0.003 0% Assert (72 calls)
% 2.55/2.80 ; 0.105 4% Process new row (7,339 calls)
% 2.55/2.80 ; 2.054 87% Resolution (160 calls)
% 2.55/2.80 ; 0.002 0% Paramodulation (80 calls)
% 2.55/2.80 ; 0.000 0% Factoring (1 call)
% 2.55/2.80 ; 0.006 0% Condensing (308 calls)
% 2.55/2.80 ; 0.015 1% Forward subsumption (308 calls)
% 2.55/2.80 ; 0.007 0% Backward subsumption (282 calls)
% 2.55/2.80 ; 0.009 0% Clause clause subsumption (2,716 calls)
% 2.55/2.80 ; 0.088 4% Forward simplification (7,339 calls)
% 2.55/2.80 ; 0.015 1% Backward simplification (1,236 calls)
% 2.55/2.80 ; 0.001 0% Ordering (462 calls)
% 2.55/2.80 ; 0.001 0% Sortal reasoning (32 calls)
% 2.55/2.80 ; 0.000 0% Purity testing (1 call)
% 2.55/2.80 ; 0.042 2% Other
% 2.55/2.80 ; 2.363 Total
% 2.55/2.80 ; 2.364 Real time
% 2.55/2.80 ;
% 2.55/2.80 ; Term-hash-array has 2,350 terms in all.
% 2.55/2.80 ; Feature-vector-row-index has 277 entries (277 at peak, 282 added, 5 deleted).
% 2.55/2.80 ; Feature-vector-row-index has 1,156 nodes (1,156 at peak, 1,176 added, 20 deleted).
% 2.55/2.80 ; Retrieved 2,264 possibly forward subsuming rows in 308 calls.
% 2.55/2.80 ; Retrieved 532 possibly backward subsumed rows in 282 calls.
% 2.55/2.80 ; Path-index has 2,274 entries (2,275 at peak, 2,370 added, 96 deleted).
% 2.55/2.80 ; Path-index has 3,101 nodes (3,101 at peak, 3,182 added, 81 deleted).
% 2.55/2.80 ; Trie-index has 2,274 entries (2,275 at peak, 2,370 added, 96 deleted).
% 2.55/2.80 ; Trie-index has 14,116 nodes (14,117 at peak, 14,437 added, 321 deleted).
% 2.55/2.80 ; Retrieved 41,931 generalization terms in 14,830 calls.
% 2.55/2.80 ; Retrieved 1,601 instance terms in 953 calls.
% 2.55/2.80 ; Retrieved 5,944,877 unifiable terms in 66,899 calls.
% 2.55/2.80 ;
% 2.55/2.80 ; The agenda of rows to process has 63 entries:
% 2.55/2.80 ; 39 with value 8 4 with value 12 2 with value 18
% 2.55/2.80 ; 4 with value 10 6 with value 13 2 with value 22
% 2.55/2.80 ; 3 with value 11 3 with value 17
% 2.55/2.80 ; The agenda of rows to give has 1106 entries:
% 2.55/2.80 ; 27 with value (4 7) 36 with value (4 30) 3 with value (4 55)
% 2.55/2.80 ; 9 with value (4 8) 10 with value (4 31) 1 with value (4 56)
% 2.55/2.80 ; 15 with value (4 9) 16 with value (4 32) 11 with value (4 57)
% 2.55/2.80 ; 33 with value (4 10) 3 with value (4 33) 3 with value (4 58)
% 2.55/2.80 ; 29 with value (4 11) 22 with value (4 34) 4 with value (4 59)
% 2.55/2.80 ; 108 with value (4 12) 25 with value (4 35) 3 with value (4 61)
% 2.55/2.80 ; 35 with value (4 13) 18 with value (4 36) 2 with value (4 63)
% 2.55/2.80 ; 58 with value (4 14) 12 with value (4 38) 4 with value (4 65)
% 2.55/2.80 ; 62 with value (4 15) 3 with value (4 39) 1 with value (4 66)
% 2.55/2.80 ; 37 with value (4 16) 3 with value (4 40) 1 with value (4 67)
% 2.55/2.80 ; 110 with value (4 17) 5 with value (4 41) 3 with value (4 69)
% 2.55/2.80 ; 17 with value (4 18) 4 with value (4 42) 1 with value (4 70)
% 2.55/2.80 ; 54 with value (4 19) 2 with value (4 43) 1 with value (4 71)
% 2.55/2.80 ; 14 with value (4 20) 3 with value (4 44) 1 with value (4 73)
% 2.55/2.80 ; 69 with value (4 21) 6 with value (4 45) 2 with value (4 75)
% 2.55/2.80 ; 25 with value (4 22) 4 with value (4 46) 4 with value (4 77)
% 2.55/2.80 ; 34 with value (4 23) 8 with value (4 47) 1 with value (4 78)
% 2.55/2.80 ; 18 with value (4 24) 4 with value (4 48) 1 with value (4 81)
% 2.55/2.80 ; 31 with value (4 25) 2 with value (4 49) 2 with value (4 85)
% 2.55/2.80 ; 20 with value (4 26) 9 with value (4 51) 1 with value (4 87)
% 2.55/2.80 ; 9 with value (4 27) 3 with value (4 52) 1 with value (4 91)
% 2.55/2.80 ; 20 with value (4 28) 6 with value (4 53) 1 with value (4 95)
% 2.55/2.80 ; 14 with value (4 29) 1 with value (4 54) 1 with value (4 111)
% 2.55/2.80 Evaluation took:
% 2.55/2.80 2.366 seconds of real time
% 2.55/2.80 2.299979 seconds of user run time
% 2.55/2.80 0.065615 seconds of system run time
% 2.55/2.80 [Run times include 0.063 seconds GC run time.]
% 2.55/2.80 0 calls to %EVAL
% 2.55/2.80 0 page faults and
% 2.55/2.80 124,520,312 bytes consed.
% 2.55/2.80 :PROOF-FOUND
% 2.55/2.80 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T03:13:37
% 2.55/2.80 :PROOF-FOUND
% 2.55/2.80 *
%------------------------------------------------------------------------------