TSTP Solution File: GEO181+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 06:14:35 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 12 unt; 3 nHn; 15 RR)
% Number of literals : 30 ( 0 equ; 14 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
cnf(4,axiom,
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
cnf(7,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
cnf(8,axiom,
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| distinct_points(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
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/GEO008+0.ax',cu1) ).
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/GEO008+0.ax',ceq2) ).
cnf(15,negated_conjecture,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(16,negated_conjecture,
apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(17,negated_conjecture,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
cnf(22,plain,
distinct_points('SKOLEMAAAV3','SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[7,15,16]) ).
cnf(23,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).
cnf(25,plain,
~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).
cnf(28,plain,
distinct_points('SKOLEMAAAV1','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[4,22,1]) ).
cnf(36,plain,
~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[8,28,1]) ).
cnf(37,plain,
~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[7,28,1]) ).
cnf(47,plain,
distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[13,36,16]) ).
cnf(53,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,37,15,23,25,17]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 10:53:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:53:59
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T10:53:59
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 146 formulas have been input or derived (from 36 formulas).
% 0.21/0.52 ; 53 (36%) were retained. Of these,
% 0.21/0.52 ; 53 (100%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.004 10% Read assertion file (1 call)
% 0.21/0.52 ; 0.000 0% Assert (13 calls)
% 0.21/0.52 ; 0.004 10% Process new row (109 calls)
% 0.21/0.52 ; 0.009 22% Resolution (70 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (35 calls)
% 0.21/0.52 ; 0.000 0% Factoring (3 calls)
% 0.21/0.52 ; 0.001 2% Condensing (22 calls)
% 0.21/0.52 ; 0.001 2% Forward subsumption (22 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (19 calls)
% 0.21/0.52 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.21/0.52 ; 0.000 0% Forward simplification (109 calls)
% 0.21/0.52 ; 0.000 0% Backward simplification (53 calls)
% 0.21/0.52 ; 0.000 0% Ordering (6 calls)
% 0.21/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.021 51% Other
% 0.21/0.52 ; 0.041 Total
% 0.21/0.52 ; 0.043 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 70 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.21/0.52 ; Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.21/0.52 ; Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.21/0.53 ; Path-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.53 ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 112 nodes (112 at peak, 112 added, 0 deleted).
% 0.21/0.53 ; Retrieved 116 generalization terms in 131 calls.
% 0.21/0.53 ; Retrieved 33 instance terms in 33 calls.
% 0.21/0.53 ; Retrieved 3,586 unifiable terms in 777 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 12 entries:
% 0.21/0.53 ; 12 with value 13
% 0.21/0.53 ; The agenda of rows to give has 17 entries:
% 0.21/0.53 ; 2 with value (4 10) 6 with value (4 13) 2 with value (4 15)
% 0.21/0.53 ; 6 with value (4 12) 1 with value (4 14)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.044 seconds of real time
% 0.21/0.53 0.039663 seconds of user run time
% 0.21/0.53 0.003928 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,964,160 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:53:59
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------