TSTP Solution File: GEO060-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO060-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 06:13:33 EDT 2022
% Result : Unsatisfiable 1.22s 1.41s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 22 unt; 1 nHn; 9 RR)
% Number of literals : 35 ( 7 equ; 12 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 55 ( 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(reflection,axiom,
reflection(X,Y) = extension(X,Y,X,Y),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(prove__involution,negated_conjecture,
u != reflection(reflection(u,v),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__involution) ).
cnf(23,plain,
~ equidistant(reflection(reflection(u,v),v),u,X,X),
inference('UR-RESOLVE',[status(thm)],[identity_for_equidistance,prove__involution]) ).
cnf(25,plain,
X = extension(Y,X,Z,Z),
inference('HYPERRESOLVE',[status(thm)],[identity_for_equidistance,segment_construction2]) ).
cnf(26,plain,
between(X,Y,reflection(X,Y)),
inference('PARAMODULATE',[status(thm)],[segment_construction1,reflection,theory(equality)]) ).
cnf(27,plain,
equidistant(X,reflection(Y,X),Y,X),
inference('PARAMODULATE',[status(thm)],[segment_construction2,reflection,theory(equality)]) ).
cnf(28,plain,
equidistant(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,reflexivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(92,plain,
equidistant(X,X,Y,Y),
inference('PARAMODULATE',[status(thm)],[segment_construction2,25,theory(equality)]) ).
cnf(93,plain,
reflection(X,X) = X,
inference('PARAMODULATE',[status(thm)],[reflection,25,theory(equality)]) ).
cnf(185,plain,
equidistant(X,Y,reflection(X,Y),Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,27,reflexivity_for_equidistance]) ).
cnf(186,plain,
equidistant(X,Y,Y,reflection(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,27,28]) ).
cnf(187,plain,
equidistant(reflection(X,Y),Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,27,reflexivity_for_equidistance]) ).
cnf(191,plain,
equidistant(X,Y,reflection(Y,X),X),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,185,reflexivity_for_equidistance]) ).
cnf(202,plain,
equidistant(X,reflection(Y,X),X,Y),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,186,reflexivity_for_equidistance]) ).
cnf(203,plain,
equidistant(X,Y,X,reflection(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_for_equidistance,186,reflexivity_for_equidistance]) ).
cnf(274,plain,
equidistant(reflection(u,reflection(reflection(u,v),v)),u,reflection(reflection(reflection(u,v),v),reflection(u,reflection(reflection(u,v),v))),reflection(reflection(u,v),v)),
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,191,186,186,92,26,26,prove__involution]) ).
cnf(385,plain,
reflection(u,v) = v,
inference('UR-RESOLVE',[status(thm)],[outer_five_segment,23,187,202,reflexivity_for_equidistance,203,26,26]) ).
cnf(389,plain,
~ equidistant(v,u,X,X),
inference('REWRITE',[status(thm)],[23,93,385,theory(equality)]) ).
cnf(443,plain,
$false,
inference('REWRITE',[status(thm)],[274,389,93,385,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO060-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 19:20:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-17T19:20:31
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T19:20:31
% 1.22/1.41
% 1.22/1.41
% 1.22/1.41 #||
% 1.22/1.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.22/1.41 % SZS output start Refutation
% See solution above
% 1.22/1.41 ||#
% 1.22/1.41
% 1.22/1.41 ; Summary of computation:
% 1.22/1.41 ; 3641 formulas have been input or derived (from 40 formulas).
% 1.22/1.41 ; 443 (12%) were retained. Of these,
% 1.22/1.41 ; 149 (34%) were simplified or subsumed later,
% 1.22/1.41 ; 294 (66%) are still being kept.
% 1.22/1.41 ;
% 1.22/1.41 ; Run time in seconds excluding printing time:
% 1.22/1.41 ; 0.007 1% Read assertion file (1 call)
% 1.22/1.41 ; 0.001 0% Assert (20 calls)
% 1.22/1.41 ; 0.041 4% Process new row (2,450 calls)
% 1.22/1.41 ; 0.799 84% Resolution (78 calls)
% 1.22/1.41 ; 0.002 0% Paramodulation (39 calls)
% 1.22/1.41 ; 0.001 0% Condensing (134 calls)
% 1.22/1.41 ; 0.005 1% Forward subsumption (134 calls)
% 1.22/1.41 ; 0.003 0% Backward subsumption (101 calls)
% 1.22/1.41 ; 0.001 0% Clause clause subsumption (749 calls)
% 1.22/1.41 ; 0.033 3% Forward simplification (2,450 calls)
% 1.22/1.41 ; 0.026 3% Backward simplification (443 calls)
% 1.22/1.41 ; 0.000 0% Ordering (186 calls)
% 1.22/1.41 ; 0.000 0% Sortal reasoning (32 calls)
% 1.22/1.41 ; 0.000 0% Purity testing (1 call)
% 1.22/1.41 ; 0.029 3% Other
% 1.22/1.41 ; 0.948 Total
% 1.22/1.41 ; 0.951 Real time
% 1.22/1.41 ;
% 1.22/1.41 ; Term-hash-array has 818 terms in all.
% 1.22/1.41 ; Feature-vector-row-index has 80 entries (80 at peak, 101 added, 21 deleted).
% 1.22/1.41 ; Feature-vector-row-index has 149 nodes (149 at peak, 190 added, 41 deleted).
% 1.22/1.41 ; Retrieved 548 possibly forward subsuming rows in 134 calls.
% 1.22/1.41 ; Retrieved 288 possibly backward subsumed rows in 101 calls.
% 1.22/1.41 ; Path-index has 579 entries (661 at peak, 863 added, 284 deleted).
% 1.22/1.41 ; Path-index has 2,354 nodes (2,675 at peak, 3,010 added, 656 deleted).
% 1.22/1.41 ; Trie-index has 579 entries (661 at peak, 863 added, 284 deleted).
% 1.22/1.41 ; Trie-index has 3,321 nodes (5,349 at peak, 6,931 added, 3,610 deleted).
% 1.22/1.41 ; Retrieved 13,881 generalization terms in 7,638 calls.
% 1.22/1.41 ; Retrieved 769 instance terms in 341 calls.
% 1.22/1.41 ; Retrieved 1,713,666 unifiable terms in 49,229 calls.
% 1.22/1.41 ;
% 1.22/1.41 ; The agenda of backward simplifiable rows to process has 35 entries:
% 1.22/1.41 ; 35 with value 0
% 1.22/1.41 ; The agenda of rows to process has 17 entries:
% 1.22/1.41 ; 4 with value 14 2 with value 17 2 with value 19
% 1.22/1.41 ; 1 with value 15 5 with value 18 2 with value 23
% 1.22/1.41 ; 1 with value 16
% 1.22/1.41 ; The agenda of input rows to give has 1 entry:
% 1.22/1.41 ; 1 with value 4
% 1.22/1.41 ; The agenda of rows to give has 257 entries:
% 1.22/1.41 ; 2 with value (4 6) 6 with value (4 25) 2 with value (4 40)
% 1.22/1.41 ; 2 with value (4 7) 4 with value (4 26) 3 with value (4 41)
% 1.22/1.41 ; 1 with value (4 11) 10 with value (4 27) 4 with value (4 42)
% 1.22/1.41 ; 3 with value (4 13) 7 with value (4 28) 3 with value (4 44)
% 1.22/1.41 ; 6 with value (4 14) 7 with value (4 29) 2 with value (4 45)
% 1.22/1.41 ; 9 with value (4 15) 2 with value (4 30) 1 with value (4 46)
% 1.22/1.41 ; 13 with value (4 16) 12 with value (4 31) 2 with value (4 48)
% 1.22/1.41 ; 19 with value (4 17) 6 with value (4 32) 1 with value (4 49)
% 1.22/1.41 ; 20 with value (4 18) 8 with value (4 33) 1 with value (4 50)
% 1.22/1.41 ; 12 with value (4 19) 2 with value (4 34) 1 with value (4 51)
% 1.22/1.41 ; 6 with value (4 20) 12 with value (4 35) 1 with value (4 53)
% 1.22/1.41 ; 13 with value (4 21) 5 with value (4 36) 1 with value (4 54)
% 1.22/1.41 ; 9 with value (4 22) 8 with value (4 37) 1 with value (4 58)
% 1.22/1.41 ; 13 with value (4 23) 3 with value (4 38) 1 with value (4 59)
% 1.22/1.41 ; 10 with value (4 24) 3 with value (4 39)
% 1.22/1.41 Evaluation took:
% 1.22/1.41 0.951 seconds of real time
% 1.22/1.41 0.930315 seconds of user run time
% 1.22/1.41 0.021124 seconds of system run time
% 1.22/1.41 [Run times include 0.033 seconds GC run time.]
% 1.22/1.41 0 calls to %EVAL
% 1.22/1.41 0 page faults and
% 1.22/1.41 65,951,944 bytes consed.
% 1.22/1.41 :PROOF-FOUND
% 1.22/1.41 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T19:20:32
% 1.22/1.41 :PROOF-FOUND
% 1.22/1.41 *
%------------------------------------------------------------------------------