TSTP Solution File: GEO660+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 06:17:12 EDT 2022
% Result : Theorem 12.43s 12.64s
% Output : Refutation 12.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 49 ( 25 unt; 0 nHn; 28 RR)
% Number of literals : 89 ( 0 equ; 43 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 163 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(4,axiom,
( ~ para(X,Y,Z,U)
| para(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
cnf(8,axiom,
( ~ perp(X,Y,Z,U)
| ~ perp(Z,U,V,W)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
cnf(16,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| cyclic(Y,Z,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
cnf(18,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Z,U,X,Y,X1,Y1,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
cnf(20,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(X,Y,V,W,Z,U,X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(38,axiom,
( ~ eqangle(X,Y,Z,U,V,W,Z,U)
| para(X,Y,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
cnf(39,axiom,
( ~ para(X,Y,Z,U)
| eqangle(X,Y,V,W,Z,U,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
cnf(40,axiom,
( ~ cyclic(X,Y,Z,U)
| eqangle(Z,X,Z,Y,U,X,U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
cnf(42,axiom,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| ~ coll(X,U,Z)
| cyclic(Y,Z,X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
cnf(43,axiom,
( ~ cyclic(X,Y,Z,U)
| ~ cyclic(X,Y,Z,V)
| ~ cyclic(X,Y,Z,W)
| ~ eqangle(Z,X,Z,Y,W,U,W,V)
| cong(X,Y,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
cnf(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
cnf(57,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| ~ cyclic(X,Z,Y,U)
| perp(Y,X,X,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(112,negated_conjecture,
perp('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
cnf(121,negated_conjecture,
~ para('SKOLEMAAAV25','SKOLEMAAAV26','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
cnf(133,plain,
~ para('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[4,121]) ).
cnf(136,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(197,plain,
para('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[8,136,112]) ).
cnf(201,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[8,136,133]) ).
cnf(309,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,197]) ).
cnf(3886,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,309]) ).
cnf(3887,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[18,309]) ).
cnf(6552,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3887]) ).
cnf(6558,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,6552]) ).
cnf(6567,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,6558,6558]) ).
cnf(9242,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,6567,6567]) ).
cnf(9246,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,9242]) ).
cnf(9248,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,9242]) ).
cnf(9254,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[9248,3886]) ).
cnf(9263,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,9254,9254]) ).
cnf(9268,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,9263,9263]) ).
cnf(9275,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,9268,9268]) ).
cnf(9276,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,9275]) ).
cnf(9277,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,9275]) ).
cnf(9278,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,9275]) ).
cnf(9279,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,9275]) ).
cnf(9365,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[9279,9278]) ).
cnf(9391,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[9276,9365,9365]) ).
cnf(9396,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,9391]) ).
cnf(9398,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[9277,9391]) ).
cnf(9402,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[9246,9398,9278]) ).
cnf(9466,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[9396,9402]) ).
cnf(9467,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,9466]) ).
cnf(9468,plain,
$false,
inference('REWRITE',[status(thm)],[201,9467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Fri Jun 17 23:36:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:36:48
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-17T23:36:48
% 0.20/0.52
% 0.20/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 12.43/12.64 ; Declaring coll to be commutative.
% 12.43/12.64
% 12.43/12.64 #||
% 12.43/12.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.43/12.64 % SZS output start Refutation
% See solution above
% 12.43/12.64 ||#
% 12.43/12.64
% 12.43/12.64 ; Summary of computation:
% 12.43/12.64 ; 62107 formulas have been input or derived (from 1124 formulas).
% 12.43/12.64 ; 9468 (15%) were retained. Of these,
% 12.43/12.64 ; 8342 (88%) were simplified or subsumed later,
% 12.43/12.64 ; 1126 (12%) are still being kept.
% 12.43/12.64 ;
% 12.43/12.64 ; Run time in seconds excluding printing time:
% 12.43/12.64 ; 0.031 0% Read assertion file (1 call)
% 12.43/12.64 ; 0.006 0% Assert (95 calls)
% 12.43/12.64 ; 0.543 4% Process new row (60,265 calls)
% 12.43/12.64 ; 10.652 88% Resolution (2,246 calls)
% 12.43/12.64 ; 0.009 0% Paramodulation (1,123 calls)
% 12.43/12.64 ; 0.005 0% Condensing (153 calls)
% 12.43/12.64 ; 0.000 0% Forward subsumption (153 calls)
% 12.43/12.64 ; 0.003 0% Backward subsumption (152 calls)
% 12.43/12.64 ; 0.000 0% Clause clause subsumption (179 calls)
% 12.43/12.64 ; 0.200 2% Forward simplification (41,222 calls)
% 12.43/12.64 ; 0.511 4% Backward simplification (9,468 calls)
% 12.43/12.64 ; 0.000 0% Ordering (48 calls)
% 12.43/12.64 ; 0.000 0% Sortal reasoning (32 calls)
% 12.43/12.64 ; 0.000 0% Purity testing (1 call)
% 12.43/12.64 ; 0.201 2% Other
% 12.43/12.64 ; 12.161 Total
% 12.43/12.64 ; 12.166 Real time
% 12.43/12.64 ;
% 12.43/12.64 ; Term-hash-array has 12,610 terms in all.
% 12.43/12.64 ; Feature-vector-row-index has 60 entries (131 at peak, 152 added, 92 deleted).
% 12.43/12.64 ; Feature-vector-row-index has 78 nodes (291 at peak, 314 added, 236 deleted).
% 12.43/12.64 ; Retrieved 159 possibly forward subsuming rows in 153 calls.
% 12.43/12.64 ; Retrieved 58 possibly backward subsumed rows in 152 calls.
% 12.43/12.64 ; Path-index has 1,208 entries (9,585 at peak, 12,644 added, 11,436 deleted).
% 12.43/12.64 ; Path-index has 1,755 nodes (3,010 at peak, 3,352 added, 1,597 deleted).
% 12.43/12.64 ; Trie-index has 1,208 entries (9,585 at peak, 12,644 added, 11,436 deleted).
% 12.43/12.64 ; Trie-index has 4,902 nodes (31,676 at peak, 40,972 added, 36,070 deleted).
% 12.43/12.64 ; Retrieved 43,397 generalization terms in 41,196 calls.
% 12.43/12.64 ; Retrieved 35,986 instance terms in 9,315 calls.
% 12.43/12.64 ; Retrieved 16,177,825 unifiable terms in 741,662 calls.
% 12.43/12.64 ;
% 12.43/12.64 ; The agenda of backward simplifiable rows to process has 8 entries:
% 12.43/12.64 ; 8 with value 0
% 12.43/12.64 ; The agenda of rows to process has 64 entries:
% 12.43/12.64 ; 15 with value 8 8 with value 12 1 with value 18
% 12.43/12.64 ; 4 with value 9 1 with value 13 4 with value 19
% 12.43/12.64 ; 4 with value 10 8 with value 14 1 with value 21
% 12.43/12.64 ; 6 with value 11 12 with value 15
% 12.43/12.64 ; The agenda of input rows to give has 1 entry:
% 12.43/12.64 ; 1 with value 6
% 12.43/12.64 ; The agenda of rows to give has 923 entries:
% 12.43/12.64 ; 8 with value (4 7) 224 with value (4 14) 37 with value (4 20)
% 12.43/12.64 ; 5 with value (4 8) 383 with value (4 15) 10 with value (4 21)
% 12.43/12.64 ; 1 with value (4 9) 13 with value (4 16) 38 with value (4 22)
% 12.43/12.64 ; 4 with value (4 11) 18 with value (4 17) 18 with value (4 23)
% 12.43/12.64 ; 8 with value (4 12) 53 with value (4 18) 2 with value (4 29)
% 12.43/12.64 ; 20 with value (4 13) 81 with value (4 19)
% 12.43/12.64 Evaluation took:
% 12.43/12.64 12.167 seconds of real time
% 12.43/12.64 11.854078 seconds of user run time
% 12.43/12.64 0.310562 seconds of system run time
% 12.43/12.64 [Run times include 0.724 seconds GC run time.]
% 12.43/12.64 0 calls to %EVAL
% 12.43/12.64 0 page faults and
% 12.43/12.64 800,086,040 bytes consed.
% 12.43/12.64 :PROOF-FOUND
% 12.43/12.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:37:00
% 12.43/12.64 :PROOF-FOUND
% 12.43/12.64 *
%------------------------------------------------------------------------------