%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO059-2 : 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 06:13:32 EDT 2022
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 1 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 24 ( 1 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(segment_construction2,axiom,
equidistant(X,extension(Y,X,Z,U),Z,U),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(prove_congruence,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
cnf(23,plain,
equidistant(X,reflection(Y,X),Y,X),
inference('PARAMODULATE',[status(thm)],[segment_construction2,reflection,theory(equality)]) ).
cnf(24,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(116,plain,
equidistant(X,Y,reflection(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,23,reflexivity_for_equidistance]) ).
cnf(117,plain,
equidistant(X,Y,Y,reflection(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,23,24]) ).
cnf(123,plain,
equidistant(reflection(X,Y),Y,Y,X),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,116,reflexivity_for_equidistance]) ).
cnf(133,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_for_equidistance,117,prove_congruence]),123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO059-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n008.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 23:35:22 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:35:23
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-17T23:35:23
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 #||
% 0.55/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 % SZS output start Refutation
% See solution above
% 0.55/0.75 ||#
% 0.55/0.75
% 0.55/0.75 ; Summary of computation:
% 0.55/0.75 ; 1263 formulas have been input or derived (from 30 formulas).
% 0.55/0.75 ; 133 (11%) were retained. Of these,
% 0.55/0.75 ; 12 ( 9%) were simplified or subsumed later,
% 0.55/0.75 ; 121 (91%) are still being kept.
% 0.55/0.75 ;
% 0.55/0.75 ; Run time in seconds:
% 0.55/0.75 ; 0.006 2% Read assertion file (1 call)
% 0.55/0.75 ; 0.000 0% Assert (20 calls)
% 0.55/0.75 ; 0.011 4% Process new row (629 calls)
% 0.55/0.75 ; 0.182 73% Resolution (58 calls)
% 0.55/0.75 ; 0.001 0% Paramodulation (29 calls)
% 0.55/0.75 ; 0.003 1% Condensing (74 calls)
% 0.55/0.75 ; 0.003 1% Forward subsumption (74 calls)
% 0.55/0.76 ; 0.001 0% Backward subsumption (56 calls)
% 0.55/0.76 ; 0.000 0% Clause clause subsumption (232 calls)
% 0.55/0.76 ; 0.011 4% Forward simplification (629 calls)
% 0.55/0.76 ; 0.001 0% Backward simplification (133 calls)
% 0.55/0.76 ; 0.001 0% Ordering (106 calls)
% 0.55/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.76 ; 0.000 0% Purity testing (1 call)
% 0.55/0.76 ; 0.029 12% Other
% 0.55/0.76 ; 0.249 Total
% 0.55/0.76 ; 0.248 Real time
% 0.55/0.76 ;
% 0.55/0.76 ; Term-hash-array has 257 terms in all.
% 0.55/0.76 ; Feature-vector-row-index has 50 entries (50 at peak, 56 added, 6 deleted).
% 0.55/0.76 ; Feature-vector-row-index has 113 nodes (113 at peak, 124 added, 11 deleted).
% 0.55/0.76 ; Retrieved 144 possibly forward subsuming rows in 74 calls.
% 0.55/0.76 ; Retrieved 98 possibly backward subsumed rows in 56 calls.
% 0.55/0.76 ; Path-index has 246 entries (246 at peak, 267 added, 21 deleted).
% 0.55/0.76 ; Path-index has 1,078 nodes (1,078 at peak, 1,108 added, 30 deleted).
% 0.55/0.76 ; Trie-index has 246 entries (246 at peak, 267 added, 21 deleted).
% 0.55/0.76 ; Trie-index has 1,339 nodes (1,339 at peak, 1,407 added, 68 deleted).
% 0.55/0.76 ; Retrieved 2,239 generalization terms in 1,284 calls.
% 0.55/0.76 ; Retrieved 230 instance terms in 76 calls.
% 0.55/0.76 ; Retrieved 293,854 unifiable terms in 14,435 calls.
% 0.55/0.76 ;
% 0.55/0.76 ; The agenda of rows to process has 143 entries:
% 0.55/0.76 ; 3 with value 12 11 with value 21 4 with value 29
% 0.55/0.76 ; 8 with value 14 1 with value 22 3 with value 30
% 0.55/0.76 ; 1 with value 15 8 with value 23 1 with value 31
% 0.55/0.76 ; 19 with value 16 7 with value 24 3 with value 32
% 0.55/0.76 ; 4 with value 17 6 with value 25 3 with value 34
% 0.55/0.76 ; 22 with value 18 3 with value 26 1 with value 35
% 0.55/0.76 ; 4 with value 19 6 with value 27 3 with value 36
% 0.55/0.76 ; 18 with value 20 4 with value 28
% 0.55/0.76 ; The agenda of rows to give has 91 entries:
% 0.55/0.76 ; 1 with value (4 11) 9 with value (4 23) 1 with value (4 34)
% 0.55/0.76 ; 6 with value (4 12) 6 with value (4 24) 4 with value (4 36)
% 0.55/0.76 ; 3 with value (4 13) 2 with value (4 25) 3 with value (4 37)
% 0.55/0.76 ; 3 with value (4 14) 2 with value (4 26) 1 with value (4 39)
% 0.55/0.76 ; 1 with value (4 15) 6 with value (4 27) 1 with value (4 40)
% 0.55/0.76 ; 3 with value (4 16) 4 with value (4 28) 1 with value (4 42)
% 0.55/0.76 ; 4 with value (4 17) 2 with value (4 29) 1 with value (4 45)
% 0.55/0.76 ; 4 with value (4 18) 1 with value (4 30) 1 with value (4 46)
% 0.55/0.76 ; 3 with value (4 19) 3 with value (4 32) 1 with value (4 53)
% 0.55/0.76 ; 8 with value (4 21) 3 with value (4 33) 1 with value (4 54)
% 0.55/0.76 ; 2 with value (4 22)
% 0.55/0.76 Evaluation took:
% 0.55/0.76 0.249 seconds of real time
% 0.55/0.76 0.237714 seconds of user run time
% 0.55/0.76 0.011544 seconds of system run time
% 0.55/0.76 [Run times include 0.006 seconds GC run time.]
% 0.55/0.76 0 calls to %EVAL
% 0.55/0.76 0 page faults and
% 0.55/0.76 15,867,120 bytes consed.
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:35:23
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 *
%------------------------------------------------------------------------------