TSTP Solution File: GEO022-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO022-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 06:13:12 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,U)
| ~ equidistant(X,Y,V,W)
| equidistant(Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(d2,axiom,
( ~ equidistant(X,Y,Z,U)
| equidistant(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(w_to_x_equals_y_to_z,hypothesis,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
cnf(prove_transitivity,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(32,plain,
equidistant(w,x,u,v),
inference('HYPERRESOLVE',[status(thm)],[d2,u_to_v_equals_w_to_x]) ).
cnf(59,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,w_to_x_equals_y_to_z,prove_transitivity]),32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO022-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sat Jun 18 10:04:59 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.21/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.52 #<PACKAGE "SNARK-USER">
% 0.21/0.52 *
% 0.21/0.52 SNARK-TPTP-OPTIONS
% 0.21/0.52 *
% 0.21/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52 (USE-FACTORING :POS)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52 *
% 0.21/0.52 "."
% 0.21/0.52 *
% 0.21/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:04:59
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T10:04:59
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 #||
% 0.21/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.56 % SZS output start Refutation
% See solution above
% 0.21/0.56 ||#
% 0.21/0.56
% 0.21/0.56 ; Summary of computation:
% 0.21/0.56 ; 157 formulas have been input or derived (from 21 formulas).
% 0.21/0.56 ; 59 (38%) were retained. Of these,
% 0.21/0.56 ; 59 (100%) are still being kept.
% 0.21/0.56 ;
% 0.21/0.56 ; Run time in seconds excluding printing time:
% 0.21/0.56 ; 0.007 16% Read assertion file (1 call)
% 0.21/0.56 ; 0.001 2% Assert (29 calls)
% 0.21/0.56 ; 0.004 9% Process new row (120 calls)
% 0.21/0.56 ; 0.002 5% Resolution (40 calls)
% 0.21/0.56 ; 0.000 0% Paramodulation (20 calls)
% 0.21/0.56 ; 0.001 2% Condensing (19 calls)
% 0.21/0.56 ; 0.000 0% Forward subsumption (19 calls)
% 0.21/0.56 ; 0.002 5% Backward subsumption (19 calls)
% 0.21/0.56 ; 0.000 0% Clause clause subsumption (75 calls)
% 0.21/0.56 ; 0.000 0% Forward simplification (120 calls)
% 0.21/0.56 ; 0.002 5% Backward simplification (59 calls)
% 0.21/0.56 ; 0.000 0% Ordering (3 calls)
% 0.21/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.024 56% Other
% 0.21/0.56 ; 0.043 Total
% 0.21/0.56 ; 0.045 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 89 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.39/0.56 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.39/0.56 ; Retrieved 31 possibly forward subsuming rows in 19 calls.
% 0.39/0.56 ; Retrieved 44 possibly backward subsumed rows in 19 calls.
% 0.39/0.56 ; Path-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.39/0.56 ; Path-index has 240 nodes (240 at peak, 240 added, 0 deleted).
% 0.39/0.56 ; Trie-index has 98 entries (98 at peak, 98 added, 0 deleted).
% 0.39/0.56 ; Trie-index has 204 nodes (204 at peak, 204 added, 0 deleted).
% 0.39/0.56 ; Retrieved 194 generalization terms in 158 calls.
% 0.39/0.56 ; Retrieved 60 instance terms in 39 calls.
% 0.39/0.56 ; Retrieved 1,898 unifiable terms in 161 calls.
% 0.39/0.56 ;
% 0.39/0.56 ; The agenda of rows to process has 29 entries:
% 0.39/0.56 ; 19 with value 7 10 with value 12
% 0.39/0.56 ; The agenda of input rows to give has 9 entries:
% 0.39/0.56 ; 2 with value 21 1 with value 34 1 with value 37
% 0.39/0.56 ; 2 with value 25 1 with value 35 1 with value 44
% 0.39/0.56 ; 1 with value 30
% 0.39/0.56 ; The agenda of rows to give has 29 entries:
% 0.39/0.56 ; 21 with value (4 7) 1 with value (4 10) 7 with value (4 12)
% 0.39/0.56 Evaluation took:
% 0.39/0.56 0.045 seconds of real time
% 0.39/0.56 0.039216 seconds of user run time
% 0.39/0.56 0.006053 seconds of system run time
% 0.39/0.56 0 calls to %EVAL
% 0.39/0.56 0 page faults and
% 0.39/0.56 2,293,072 bytes consed.
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:04:59
% 0.39/0.56 :PROOF-FOUND
% 0.39/0.56 *
%------------------------------------------------------------------------------