TSTP Solution File: GEO001-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 06:12:56 EDT 2022
% Result : Unsatisfiable 2.53s 2.72s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,Z,U)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
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(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(Y,inner_pasch(X,Y,Z,V,U),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(V,inner_pasch(X,Y,Z,V,U),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(21,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(51,plain,
between(X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction1,21,theory(equality)]) ).
cnf(53,plain,
between(b,inner_pasch(X,c,c,b,a),X),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,51,b_between_a_and_c]) ).
cnf(55,plain,
between(c,inner_pasch(X,c,c,b,a),a),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,51,b_between_a_and_c]) ).
cnf(249,plain,
b = inner_pasch(b,c,c,b,a),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,53]) ).
cnf(1758,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[55,249,theory(equality)]),prove_b_between_c_and_a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : run-snark %s %d
% 0.06/0.25 % Computer : n027.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sat Jun 18 13:36:07 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.36 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 *
% 0.10/0.37 *
% 0.10/0.38 #<PACKAGE "SNARK-USER">
% 0.10/0.38 *
% 0.10/0.38 SNARK-TPTP-OPTIONS
% 0.10/0.38 *
% 0.10/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.10/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.10/0.38 (USE-FACTORING :POS)
% 0.10/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.10/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.10/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.10/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.10/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.10/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.10/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.10/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.10/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.10/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.10/0.38 *
% 0.10/0.38 "."
% 0.10/0.38 *
% 0.10/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:36:08
% 0.10/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T13:36:08
% 2.53/2.72
% 2.53/2.72
% 2.53/2.72 #||
% 2.53/2.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.53/2.72 % SZS output start Refutation
% See solution above
% 2.53/2.72 ||#
% 2.53/2.72
% 2.53/2.72 ; Summary of computation:
% 2.53/2.72 ; 7196 formulas have been input or derived (from 40 formulas).
% 2.53/2.72 ; 1758 (24%) were retained. Of these,
% 2.53/2.72 ; 159 ( 9%) were simplified or subsumed later,
% 2.53/2.72 ; 1599 (91%) are still being kept.
% 2.53/2.72 ;
% 2.53/2.72 ; Run time in seconds excluding printing time:
% 2.53/2.72 ; 0.006 0% Read assertion file (1 call)
% 2.53/2.72 ; 0.001 0% Assert (20 calls)
% 2.53/2.72 ; 0.196 8% Process new row (6,338 calls)
% 2.53/2.72 ; 1.638 70% Resolution (78 calls)
% 2.53/2.72 ; 0.001 0% Paramodulation (39 calls)
% 2.53/2.72 ; 0.007 0% Condensing (920 calls)
% 2.53/2.72 ; 0.091 4% Forward subsumption (920 calls)
% 2.53/2.72 ; 0.070 3% Backward subsumption (697 calls)
% 2.53/2.72 ; 0.058 2% Clause clause subsumption (30,905 calls)
% 2.53/2.72 ; 0.173 7% Forward simplification (6,338 calls)
% 2.53/2.72 ; 0.052 2% Backward simplification (1,758 calls)
% 2.53/2.72 ; 0.000 0% Ordering (810 calls)
% 2.53/2.72 ; 0.000 0% Sortal reasoning (32 calls)
% 2.53/2.72 ; 0.000 0% Purity testing (1 call)
% 2.53/2.72 ; 0.046 2% Other
% 2.53/2.72 ; 2.339 Total
% 2.53/2.72 ; 2.341 Real time
% 2.53/2.72 ;
% 2.53/2.72 ; Term-hash-array has 3,774 terms in all.
% 2.53/2.72 ; Feature-vector-row-index has 570 entries (570 at peak, 697 added, 127 deleted).
% 2.53/2.72 ; Feature-vector-row-index has 1,414 nodes (1,447 at peak, 2,080 added, 666 deleted).
% 2.53/2.72 ; Retrieved 23,182 possibly forward subsuming rows in 920 calls.
% 2.53/2.72 ; Retrieved 11,798 possibly backward subsumed rows in 697 calls.
% 2.53/2.72 ; Path-index has 3,592 entries (3,592 at peak, 3,987 added, 395 deleted).
% 2.53/2.72 ; Path-index has 4,409 nodes (4,409 at peak, 4,637 added, 228 deleted).
% 2.53/2.72 ; Trie-index has 3,592 entries (3,592 at peak, 3,987 added, 395 deleted).
% 2.53/2.72 ; Trie-index has 29,238 nodes (29,238 at peak, 31,869 added, 2,631 deleted).
% 2.53/2.72 ; Retrieved 59,831 generalization terms in 24,944 calls.
% 2.53/2.72 ; Retrieved 4,611 instance terms in 1,060 calls.
% 2.53/2.72 ; Retrieved 3,729,736 unifiable terms in 65,617 calls.
% 2.53/2.72 ;
% 2.53/2.72 ; The agenda of rows to process has 1 entry:
% 2.53/2.72 ; 1 with value 10
% 2.53/2.72 ; The agenda of rows to give has 1559 entries:
% 2.53/2.72 ; 3 with value (4 14) 7 with value (4 35) 1 with value (4 58)
% 2.53/2.72 ; 2 with value (4 15) 74 with value (4 36) 2 with value (4 59)
% 2.53/2.72 ; 4 with value (4 16) 36 with value (4 37) 36 with value (4 60)
% 2.53/2.72 ; 3 with value (4 17) 21 with value (4 38) 56 with value (4 61)
% 2.53/2.72 ; 20 with value (4 18) 18 with value (4 39) 17 with value (4 62)
% 2.53/2.72 ; 16 with value (4 19) 25 with value (4 40) 3 with value (4 63)
% 2.53/2.72 ; 4 with value (4 20) 130 with value (4 41) 1 with value (4 64)
% 2.53/2.72 ; 29 with value (4 21) 5 with value (4 42) 27 with value (4 65)
% 2.53/2.72 ; 9 with value (4 22) 9 with value (4 43) 1 with value (4 67)
% 2.53/2.72 ; 9 with value (4 23) 2 with value (4 44) 76 with value (4 69)
% 2.53/2.72 ; 9 with value (4 24) 16 with value (4 45) 4 with value (4 72)
% 2.53/2.72 ; 11 with value (4 25) 46 with value (4 46) 56 with value (4 73)
% 2.53/2.72 ; 27 with value (4 26) 16 with value (4 47) 56 with value (4 77)
% 2.53/2.72 ; 11 with value (4 27) 3 with value (4 48) 1 with value (4 79)
% 2.53/2.72 ; 25 with value (4 28) 57 with value (4 49) 35 with value (4 80)
% 2.53/2.72 ; 9 with value (4 29) 44 with value (4 50) 16 with value (4 86)
% 2.53/2.72 ; 27 with value (4 30) 6 with value (4 51) 4 with value (4 90)
% 2.53/2.72 ; 130 with value (4 31) 39 with value (4 53) 40 with value (4 94)
% 2.53/2.72 ; 46 with value (4 32) 20 with value (4 54) 16 with value (4 114)
% 2.53/2.72 ; 30 with value (4 33) 72 with value (4 55) 32 with value (4 118)
% 2.53/2.72 ; 3 with value (4 34) 6 with value (4 56)
% 2.53/2.72 Evaluation took:
% 2.53/2.72 2.341 seconds of real time
% 2.53/2.72 2.247302 seconds of user run time
% 2.53/2.72 0.094231 seconds of system run time
% 2.53/2.72 [Run times include 0.122 seconds GC run time.]
% 2.53/2.72 0 calls to %EVAL
% 2.53/2.72 0 page faults and
% 2.53/2.72 152,997,112 bytes consed.
% 2.53/2.72 :PROOF-FOUND
% 2.53/2.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:36:10
% 2.53/2.72 :PROOF-FOUND
% 2.53/2.72 *
%------------------------------------------------------------------------------