TSTP Solution File: GEO181+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 06:14:34 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 12 unt; 4 nHn; 15 RR)
% Number of literals : 31 ( 0 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
cnf(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
cnf(11,axiom,
( ~ distinct_points(X,Y)
| ~ distinct_lines(Z,U)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,U)
| apart_point_and_line(Y,Z)
| apart_point_and_line(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
cnf(12,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
cnf(13,axiom,
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAQ1','SKOLEMAAAQ2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
apart_point_and_line('SKOLEMAAAQ3',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAQ2',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ3')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(18,plain,
~ apart_point_and_line('SKOLEMAAAQ1',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ2')),
inference('UR-RESOLVE',[status(thm)],[7,15]) ).
cnf(19,plain,
~ apart_point_and_line('SKOLEMAAAQ2',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ2')),
inference('UR-RESOLVE',[status(thm)],[8,15]) ).
cnf(26,plain,
distinct_points('SKOLEMAAAQ3','SKOLEMAAAQ1'),
inference('UR-RESOLVE',[status(thm)],[12,18,16]) ).
cnf(27,plain,
distinct_points('SKOLEMAAAQ1','SKOLEMAAAQ3'),
inference('UR-RESOLVE',[status(thm)],[4,26,1]) ).
cnf(31,plain,
~ apart_point_and_line('SKOLEMAAAQ3',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ3')),
inference('UR-RESOLVE',[status(thm)],[8,27]) ).
cnf(32,plain,
~ apart_point_and_line('SKOLEMAAAQ1',line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ3')),
inference('UR-RESOLVE',[status(thm)],[7,27]) ).
cnf(46,plain,
distinct_lines(line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ2'),line_connecting('SKOLEMAAAQ1','SKOLEMAAAQ3')),
inference('UR-RESOLVE',[status(thm)],[13,31,16]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,32,15,18,19,17]),46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 12:48:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:48:28
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T12:48:28
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 138 formulas have been input or derived (from 35 formulas).
% 0.19/0.49 ; 52 (38%) were retained. Of these,
% 0.19/0.49 ; 52 (100%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.003 10% Read assertion file (1 call)
% 0.19/0.49 ; 0.001 3% Assert (15 calls)
% 0.19/0.49 ; 0.003 10% Process new row (104 calls)
% 0.19/0.49 ; 0.005 17% Resolution (68 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (34 calls)
% 0.19/0.49 ; 0.000 0% Factoring (2 calls)
% 0.19/0.49 ; 0.000 0% Condensing (21 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (21 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (18 calls)
% 0.19/0.49 ; 0.000 0% Clause clause subsumption (9 calls)
% 0.19/0.49 ; 0.001 3% Forward simplification (104 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (52 calls)
% 0.19/0.49 ; 0.000 0% Ordering (5 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.017 57% Other
% 0.19/0.49 ; 0.030 Total
% 0.19/0.49 ; 0.031 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 69 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 44 nodes (44 at peak, 44 added, 0 deleted).
% 0.19/0.49 ; Retrieved 7 possibly forward subsuming rows in 21 calls.
% 0.19/0.49 ; Retrieved 2 possibly backward subsumed rows in 18 calls.
% 0.19/0.49 ; Path-index has 72 entries (72 at peak, 72 added, 0 deleted).
% 0.19/0.49 ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 72 entries (72 at peak, 72 added, 0 deleted).
% 0.19/0.49 ; Trie-index has 113 nodes (113 at peak, 113 added, 0 deleted).
% 0.19/0.49 ; Retrieved 106 generalization terms in 121 calls.
% 0.19/0.49 ; Retrieved 33 instance terms in 33 calls.
% 0.19/0.49 ; Retrieved 2,798 unifiable terms in 738 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 12 entries:
% 0.19/0.49 ; 12 with value 14
% 0.19/0.49 ; The agenda of rows to give has 17 entries:
% 0.19/0.49 ; 3 with value (4 11) 2 with value (4 13) 1 with value (4 16)
% 0.19/0.49 ; 4 with value (4 12) 7 with value (4 14)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.031 seconds of real time
% 0.19/0.49 0.02629 seconds of user run time
% 0.19/0.49 0.004582 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 2,960,392 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T12:48:28
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------