TSTP Solution File: GEO573+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 06:16:47 EDT 2022
% Result : Theorem 11.77s 11.96s
% Output : Refutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 48 ( 24 unt; 0 nHn; 29 RR)
% Number of literals : 87 ( 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 156 ( 22 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(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(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(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(115,negated_conjecture,
perp('SKOLEMAAAV26','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
cnf(121,negated_conjecture,
~ cong('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
cnf(135,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(137,plain,
~ cong('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[22,121]) ).
cnf(184,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,135,115]) ).
cnf(192,plain,
~ cong('SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[23,137]) ).
cnf(257,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,184]) ).
cnf(295,plain,
~ cong('SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[22,192]) ).
cnf(2085,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,257]) ).
cnf(2086,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,257]) ).
cnf(4958,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2086]) ).
cnf(4964,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4958]) ).
cnf(4971,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4964,4964]) ).
cnf(8097,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4971,4971]) ).
cnf(8101,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,8097]) ).
cnf(8103,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,8097]) ).
cnf(8108,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[8103,2085]) ).
cnf(8123,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,8108,8108]) ).
cnf(8139,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,8123,8123]) ).
cnf(8163,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,8139,8139]) ).
cnf(8164,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,8163]) ).
cnf(8165,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,8163]) ).
cnf(8166,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,8163]) ).
cnf(8167,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,8163]) ).
cnf(8180,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[8167,8166]) ).
cnf(8216,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[8164,8180,8180]) ).
cnf(8221,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,8216]) ).
cnf(8223,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[8165,8216]) ).
cnf(8241,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[8101,8223,8166]) ).
cnf(8281,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[8221,8241,295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:08:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:08:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T07:08:11
% 0.19/0.52
% 0.19/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 11.77/11.96 ; Declaring coll to be commutative.
% 11.77/11.96
% 11.77/11.96 #||
% 11.77/11.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.77/11.96 % SZS output start Refutation
% See solution above
% 11.77/11.96 ||#
% 11.77/11.96
% 11.77/11.96 ; Summary of computation:
% 11.77/11.96 ; 58909 formulas have been input or derived (from 881 formulas).
% 11.77/11.96 ; 8281 (14%) were retained. Of these,
% 11.77/11.96 ; 7715 (93%) were simplified or subsumed later,
% 11.77/11.96 ; 566 ( 7%) are still being kept.
% 11.77/11.96 ;
% 11.77/11.96 ; Run time in seconds excluding printing time:
% 11.77/11.96 ; 0.031 0% Read assertion file (1 call)
% 11.77/11.96 ; 0.005 0% Assert (95 calls)
% 11.77/11.96 ; 0.448 4% Process new row (57,510 calls)
% 11.77/11.96 ; 10.180 89% Resolution (1,760 calls)
% 11.77/11.96 ; 0.004 0% Paramodulation (880 calls)
% 11.77/11.96 ; 0.002 0% Condensing (149 calls)
% 11.77/11.96 ; 0.002 0% Forward subsumption (149 calls)
% 11.77/11.96 ; 0.001 0% Backward subsumption (148 calls)
% 11.77/11.96 ; 0.004 0% Clause clause subsumption (179 calls)
% 11.77/11.96 ; 0.153 1% Forward simplification (38,321 calls)
% 11.77/11.96 ; 0.483 4% Backward simplification (8,281 calls)
% 11.77/11.96 ; 0.000 0% Ordering (40 calls)
% 11.77/11.96 ; 0.000 0% Sortal reasoning (32 calls)
% 11.77/11.96 ; 0.001 0% Purity testing (1 call)
% 11.77/11.96 ; 0.166 1% Other
% 11.77/11.96 ; 11.480 Total
% 11.77/11.96 ; 11.485 Real time
% 11.77/11.96 ;
% 11.77/11.96 ; Term-hash-array has 11,409 terms in all.
% 11.77/11.96 ; Feature-vector-row-index has 72 entries (127 at peak, 148 added, 76 deleted).
% 11.77/11.96 ; Feature-vector-row-index has 97 nodes (257 at peak, 280 added, 183 deleted).
% 11.77/11.96 ; Retrieved 159 possibly forward subsuming rows in 149 calls.
% 11.77/11.96 ; Retrieved 58 possibly backward subsumed rows in 148 calls.
% 11.77/11.96 ; Path-index has 686 entries (9,218 at peak, 11,445 added, 10,759 deleted).
% 11.77/11.96 ; Path-index has 1,216 nodes (1,599 at peak, 2,034 added, 818 deleted).
% 11.77/11.96 ; Trie-index has 686 entries (9,218 at peak, 11,445 added, 10,759 deleted).
% 11.77/11.96 ; Trie-index has 2,629 nodes (23,426 at peak, 28,792 added, 26,163 deleted).
% 11.77/11.96 ; Retrieved 42,352 generalization terms in 38,279 calls.
% 11.77/11.96 ; Retrieved 27,241 instance terms in 8,132 calls.
% 11.77/11.96 ; Retrieved 16,120,798 unifiable terms in 774,438 calls.
% 11.77/11.96 ;
% 11.77/11.96 ; The agenda of rows to process has 65 entries:
% 11.77/11.96 ; 1 with value 7 12 with value 12 6 with value 18
% 11.77/11.96 ; 14 with value 8 8 with value 14 4 with value 19
% 11.77/11.96 ; 1 with value 9 14 with value 15 1 with value 21
% 11.77/11.96 ; 4 with value 11
% 11.77/11.96 ; The agenda of rows to give has 423 entries:
% 11.77/11.96 ; 3 with value (4 7) 11 with value (4 13) 20 with value (4 19)
% 11.77/11.96 ; 9 with value (4 8) 50 with value (4 14) 4 with value (4 20)
% 11.77/11.96 ; 1 with value (4 9) 156 with value (4 15) 10 with value (4 21)
% 11.77/11.96 ; 2 with value (4 10) 7 with value (4 16) 40 with value (4 22)
% 11.77/11.96 ; 5 with value (4 11) 24 with value (4 17) 2 with value (4 27)
% 11.77/11.96 ; 9 with value (4 12) 68 with value (4 18) 2 with value (4 29)
% 11.77/11.96 Evaluation took:
% 11.77/11.96 11.486 seconds of real time
% 11.77/11.96 11.212961 seconds of user run time
% 11.77/11.96 0.271099 seconds of system run time
% 11.77/11.96 [Run times include 0.559 seconds GC run time.]
% 11.77/11.96 0 calls to %EVAL
% 11.77/11.96 0 page faults and
% 11.77/11.96 791,299,968 bytes consed.
% 11.77/11.96 :PROOF-FOUND
% 11.77/11.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T07:08:22
% 11.77/11.96 :PROOF-FOUND
% 11.77/11.96 *
%------------------------------------------------------------------------------