%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO026-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 9 unt; 1 nHn; 10 RR)
% Number of literals : 22 ( 4 equ; 12 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
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(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(28,plain,
~ equidistant(w,x,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_w_is_x]) ).
cnf(36,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(117,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,36,v_to_w_equals_v_to_x,36,36,v_between_u_and_w,v_between_u_and_x,u_not_v,28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO026-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:49:58 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 *
% 0.19/0.47 #<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)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:49:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T07:49:58
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 602 formulas have been input or derived (from 36 formulas).
% 0.19/0.58 ; 117 (19%) were retained. Of these,
% 0.19/0.58 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.58 ; 116 (99%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds excluding printing time:
% 0.19/0.58 ; 0.005 4% Read assertion file (1 call)
% 0.19/0.58 ; 0.001 1% Assert (23 calls)
% 0.19/0.58 ; 0.009 8% Process new row (207 calls)
% 0.19/0.58 ; 0.062 55% Resolution (70 calls)
% 0.19/0.58 ; 0.000 0% Paramodulation (35 calls)
% 0.19/0.58 ; 0.002 2% Condensing (25 calls)
% 0.19/0.58 ; 0.000 0% Forward subsumption (25 calls)
% 0.19/0.58 ; 0.001 1% Backward subsumption (25 calls)
% 0.19/0.58 ; 0.000 0% Clause clause subsumption (31 calls)
% 0.19/0.58 ; 0.005 4% Forward simplification (207 calls)
% 0.19/0.58 ; 0.003 3% Backward simplification (117 calls)
% 0.19/0.58 ; 0.000 0% Ordering (33 calls)
% 0.19/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.58 ; 0.001 1% Purity testing (1 call)
% 0.19/0.58 ; 0.024 21% Other
% 0.19/0.58 ; 0.113 Total
% 0.19/0.58 ; 0.114 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 207 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 108 nodes (108 at peak, 108 added, 0 deleted).
% 0.19/0.58 ; Retrieved 21 possibly forward subsuming rows in 25 calls.
% 0.19/0.58 ; Retrieved 10 possibly backward subsumed rows in 25 calls.
% 0.19/0.58 ; Path-index has 213 entries (213 at peak, 214 added, 1 deleted).
% 0.19/0.58 ; Path-index has 584 nodes (584 at peak, 584 added, 0 deleted).
% 0.19/0.58 ; Trie-index has 213 entries (213 at peak, 214 added, 1 deleted).
% 0.19/0.58 ; Trie-index has 1,234 nodes (1,234 at peak, 1,236 added, 2 deleted).
% 0.19/0.58 ; Retrieved 300 generalization terms in 402 calls.
% 0.19/0.58 ; Retrieved 116 instance terms in 91 calls.
% 0.19/0.58 ; Retrieved 65,002 unifiable terms in 5,507 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of rows to process has 327 entries:
% 0.19/0.58 ; 23 with value 6 1 with value 15 1 with value 24
% 0.19/0.58 ; 6 with value 7 69 with value 17 1 with value 25
% 0.19/0.58 ; 69 with value 8 1 with value 19 13 with value 26
% 0.19/0.58 ; 59 with value 12 1 with value 20 1 with value 27
% 0.19/0.58 ; 18 with value 13 34 with value 21 1 with value 30
% 0.19/0.58 ; 1 with value 14 28 with value 22
% 0.19/0.58 ; The agenda of rows to give has 80 entries:
% 0.19/0.58 ; 7 with value (4 8) 5 with value (4 18) 2 with value (4 30)
% 0.19/0.58 ; 1 with value (4 10) 1 with value (4 19) 1 with value (4 31)
% 0.19/0.58 ; 12 with value (4 12) 10 with value (4 21) 2 with value (4 34)
% 0.19/0.58 ; 9 with value (4 13) 2 with value (4 22) 1 with value (4 35)
% 0.19/0.58 ; 1 with value (4 14) 5 with value (4 25) 4 with value (4 38)
% 0.19/0.58 ; 2 with value (4 15) 2 with value (4 26) 1 with value (4 42)
% 0.19/0.58 ; 11 with value (4 17) 1 with value (4 29)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.115 seconds of real time
% 0.19/0.58 0.108442 seconds of user run time
% 0.19/0.58 0.006233 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 6,064,160 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:49:58
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------