%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO027-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 0.56s 0.72s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 8 RR)
% Number of literals : 23 ( 4 equ; 12 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 34 ( 4 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(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
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(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(prove_w_is_an_extension,negated_conjecture,
w != extension(u,v,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_an_extension) ).
cnf(28,plain,
~ equidistant(w,extension(u,v,v,w),X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove_w_is_an_extension]) ).
cnf(31,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(83,plain,
equidistant(X,Y,Z,extension(U,Z,X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,31,segment_construction2]) ).
cnf(203,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[outer_five_segment,28,31,31,31,v_between_u_and_w,segment_construction1,u_not_v]),83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO027-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 18 04:58:07 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:58:07
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T04:58:07
% 0.56/0.72
% 0.56/0.72
% 0.56/0.72 #||
% 0.56/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72 % SZS output start Refutation
% See solution above
% 0.56/0.72 ||#
% 0.56/0.72
% 0.56/0.72 ; Summary of computation:
% 0.56/0.72 ; 1144 formulas have been input or derived (from 35 formulas).
% 0.56/0.72 ; 203 (18%) were retained. Of these,
% 0.56/0.72 ; 28 (14%) were simplified or subsumed later,
% 0.56/0.72 ; 175 (86%) are still being kept.
% 0.56/0.72 ;
% 0.56/0.72 ; Run time in seconds excluding printing time:
% 0.56/0.72 ; 0.006 3% Read assertion file (1 call)
% 0.56/0.72 ; 0.000 0% Assert (21 calls)
% 0.56/0.72 ; 0.016 7% Process new row (863 calls)
% 0.56/0.72 ; 0.153 69% Resolution (68 calls)
% 0.56/0.72 ; 0.000 0% Paramodulation (34 calls)
% 0.56/0.72 ; 0.005 2% Condensing (50 calls)
% 0.56/0.72 ; 0.002 1% Forward subsumption (50 calls)
% 0.56/0.72 ; 0.000 0% Backward subsumption (41 calls)
% 0.56/0.72 ; 0.000 0% Clause clause subsumption (138 calls)
% 0.56/0.72 ; 0.008 4% Forward simplification (863 calls)
% 0.56/0.72 ; 0.006 3% Backward simplification (203 calls)
% 0.56/0.72 ; 0.000 0% Ordering (59 calls)
% 0.56/0.72 ; 0.001 0% Sortal reasoning (32 calls)
% 0.56/0.72 ; 0.000 0% Purity testing (1 call)
% 0.56/0.72 ; 0.026 12% Other
% 0.56/0.72 ; 0.223 Total
% 0.56/0.72 ; 0.225 Real time
% 0.56/0.72 ;
% 0.56/0.72 ; Term-hash-array has 368 terms in all.
% 0.56/0.72 ; Feature-vector-row-index has 35 entries (35 at peak, 41 added, 6 deleted).
% 0.56/0.72 ; Feature-vector-row-index has 120 nodes (120 at peak, 141 added, 21 deleted).
% 0.56/0.72 ; Retrieved 72 possibly forward subsuming rows in 50 calls.
% 0.56/0.72 ; Retrieved 68 possibly backward subsumed rows in 41 calls.
% 0.56/0.72 ; Path-index has 335 entries (335 at peak, 378 added, 43 deleted).
% 0.56/0.72 ; Path-index has 1,254 nodes (1,254 at peak, 1,287 added, 33 deleted).
% 0.56/0.72 ; Trie-index has 335 entries (335 at peak, 378 added, 43 deleted).
% 0.56/0.72 ; Trie-index has 2,384 nodes (2,384 at peak, 2,628 added, 244 deleted).
% 0.56/0.72 ; Retrieved 2,329 generalization terms in 1,560 calls.
% 0.56/0.72 ; Retrieved 335 instance terms in 161 calls.
% 0.56/0.72 ; Retrieved 239,833 unifiable terms in 10,097 calls.
% 0.56/0.72 ;
% 0.56/0.72 ; The agenda of rows to process has 4 entries:
% 0.56/0.72 ; 1 with value 13 1 with value 17 1 with value 18
% 0.56/0.72 ; 1 with value 14
% 0.56/0.73 ; The agenda of rows to give has 141 entries:
% 0.56/0.73 ; 6 with value (4 12) 2 with value (4 26) 3 with value (4 38)
% 0.56/0.73 ; 5 with value (4 13) 8 with value (4 27) 1 with value (4 39)
% 0.56/0.73 ; 16 with value (4 14) 4 with value (4 28) 4 with value (4 40)
% 0.56/0.73 ; 3 with value (4 15) 2 with value (4 29) 2 with value (4 42)
% 0.56/0.73 ; 2 with value (4 16) 1 with value (4 30) 2 with value (4 44)
% 0.56/0.73 ; 5 with value (4 17) 2 with value (4 31) 1 with value (4 48)
% 0.56/0.73 ; 5 with value (4 18) 9 with value (4 32) 2 with value (4 53)
% 0.56/0.73 ; 11 with value (4 19) 2 with value (4 33) 1 with value (4 54)
% 0.56/0.73 ; 5 with value (4 21) 3 with value (4 34) 1 with value (4 57)
% 0.56/0.73 ; 2 with value (4 22) 1 with value (4 35) 1 with value (4 59)
% 0.56/0.73 ; 15 with value (4 23) 5 with value (4 36) 1 with value (4 61)
% 0.56/0.73 ; 2 with value (4 24) 2 with value (4 37) 1 with value (4 67)
% 0.56/0.73 ; 3 with value (4 25)
% 0.56/0.73 Evaluation took:
% 0.56/0.73 0.232 seconds of real time
% 0.56/0.73 0.217206 seconds of user run time
% 0.56/0.73 0.015065 seconds of system run time
% 0.56/0.73 [Run times include 0.007 seconds GC run time.]
% 0.56/0.73 0 calls to %EVAL
% 0.56/0.73 0 page faults and
% 0.56/0.73 12,451,200 bytes consed.
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:58:08
% 0.56/0.73 :PROOF-FOUND
% 0.56/0.73 *
%------------------------------------------------------------------------------