TSTP Solution File: GEO546+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 06:16:38 EDT 2022
% Result : Theorem 4.70s 4.87s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 0 equ; 41 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 : 159 ( 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(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(114,negated_conjecture,
perp('SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
cnf(118,negated_conjecture,
~ perp('SKOLEMAAAV22','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
cnf(130,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV25','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,114]) ).
cnf(132,plain,
~ perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[7,118]) ).
cnf(176,plain,
para('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,130,114]) ).
cnf(260,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,176]) ).
cnf(1746,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,260]) ).
cnf(1747,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,260]) ).
cnf(3167,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1747]) ).
cnf(3173,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3167]) ).
cnf(3180,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3173,3173]) ).
cnf(4316,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3180,3180]) ).
cnf(4320,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,4316]) ).
cnf(4322,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,4316]) ).
cnf(4326,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[4322,1746]) ).
cnf(4329,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,4326,4326]) ).
cnf(4333,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,4329,4329]) ).
cnf(4339,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,4333,4333]) ).
cnf(4340,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,4339]) ).
cnf(4341,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,4339]) ).
cnf(4342,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,4339]) ).
cnf(4343,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,4339]) ).
cnf(4364,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[4343,4342]) ).
cnf(4369,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[4340,4364,4364]) ).
cnf(4374,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,4369]) ).
cnf(4376,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[4341,4369]) ).
cnf(4380,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[4320,4376,4342]) ).
cnf(4425,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[4374,4380]) ).
cnf(4426,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,4425]) ).
cnf(4427,plain,
$false,
inference('REWRITE',[status(thm)],[132,4426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Sat Jun 18 14:59:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:59:58
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-18T14:59:58
% 0.20/0.52
% 0.20/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 4.70/4.87 ; Declaring coll to be commutative.
% 4.70/4.87
% 4.70/4.87 #||
% 4.70/4.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.70/4.87 % SZS output start Refutation
% See solution above
% 4.70/4.87 ||#
% 4.70/4.87
% 4.70/4.87 ; Summary of computation:
% 4.70/4.87 ; 31097 formulas have been input or derived (from 855 formulas).
% 4.70/4.87 ; 4427 (14%) were retained. Of these,
% 4.70/4.87 ; 3730 (84%) were simplified or subsumed later,
% 4.70/4.87 ; 697 (16%) are still being kept.
% 4.70/4.87 ;
% 4.70/4.87 ; Run time in seconds excluding printing time:
% 4.70/4.87 ; 0.031 1% Read assertion file (1 call)
% 4.70/4.87 ; 0.004 0% Assert (95 calls)
% 4.70/4.87 ; 0.229 5% Process new row (29,876 calls)
% 4.70/4.87 ; 3.684 84% Resolution (1,708 calls)
% 4.70/4.87 ; 0.003 0% Paramodulation (854 calls)
% 4.70/4.87 ; 0.003 0% Condensing (150 calls)
% 4.70/4.87 ; 0.002 0% Forward subsumption (150 calls)
% 4.70/4.87 ; 0.002 0% Backward subsumption (148 calls)
% 4.70/4.87 ; 0.003 0% Clause clause subsumption (180 calls)
% 4.70/4.87 ; 0.098 2% Forward simplification (20,578 calls)
% 4.70/4.87 ; 0.216 5% Backward simplification (4,427 calls)
% 4.70/4.87 ; 0.000 0% Ordering (40 calls)
% 4.70/4.87 ; 0.001 0% Sortal reasoning (32 calls)
% 4.70/4.87 ; 0.000 0% Purity testing (1 call)
% 4.70/4.87 ; 0.113 3% Other
% 4.70/4.87 ; 4.389 Total
% 4.70/4.87 ; 4.393 Real time
% 4.70/4.87 ;
% 4.70/4.87 ; Term-hash-array has 5,720 terms in all.
% 4.70/4.87 ; Feature-vector-row-index has 60 entries (127 at peak, 148 added, 88 deleted).
% 4.70/4.87 ; Feature-vector-row-index has 78 nodes (269 at peak, 292 added, 214 deleted).
% 4.70/4.87 ; Retrieved 160 possibly forward subsuming rows in 150 calls.
% 4.70/4.87 ; Retrieved 58 possibly backward subsumed rows in 148 calls.
% 4.70/4.87 ; Path-index has 770 entries (4,538 at peak, 5,753 added, 4,983 deleted).
% 4.70/4.87 ; Path-index has 888 nodes (1,362 at peak, 1,602 added, 714 deleted).
% 4.70/4.87 ; Trie-index has 770 entries (4,538 at peak, 5,753 added, 4,983 deleted).
% 4.70/4.87 ; Trie-index has 2,900 nodes (12,256 at peak, 15,242 added, 12,342 deleted).
% 4.70/4.87 ; Retrieved 20,916 generalization terms in 20,531 calls.
% 4.70/4.87 ; Retrieved 16,536 instance terms in 4,278 calls.
% 4.70/4.87 ; Retrieved 5,294,910 unifiable terms in 282,754 calls.
% 4.70/4.87 ;
% 4.70/4.87 ; The agenda of backward simplifiable rows to process has 8 entries:
% 4.70/4.87 ; 8 with value 0
% 4.70/4.87 ; The agenda of rows to process has 45 entries:
% 4.70/4.87 ; 11 with value 8 4 with value 14 4 with value 19
% 4.70/4.87 ; 4 with value 11 12 with value 15 1 with value 21
% 4.70/4.87 ; 8 with value 12 1 with value 18
% 4.70/4.87 ; The agenda of input rows to give has 1 entry:
% 4.70/4.87 ; 1 with value 6
% 4.70/4.87 ; The agenda of rows to give has 477 entries:
% 4.70/4.87 ; 2 with value (4 7) 118 with value (4 14) 7 with value (4 19)
% 4.70/4.87 ; 3 with value (4 8) 280 with value (4 15) 2 with value (4 20)
% 4.70/4.87 ; 3 with value (4 11) 7 with value (4 16) 7 with value (4 21)
% 4.70/4.87 ; 2 with value (4 12) 8 with value (4 17) 22 with value (4 22)
% 4.70/4.87 ; 4 with value (4 13) 10 with value (4 18) 2 with value (4 29)
% 4.70/4.87 Evaluation took:
% 4.70/4.87 4.393 seconds of real time
% 4.70/4.87 4.262274 seconds of user run time
% 4.70/4.87 0.131098 seconds of system run time
% 4.70/4.87 [Run times include 0.213 seconds GC run time.]
% 4.70/4.87 0 calls to %EVAL
% 4.70/4.87 0 page faults and
% 4.70/4.87 295,071,592 bytes consed.
% 4.70/4.87 :PROOF-FOUND
% 4.70/4.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:00:02
% 4.70/4.87 :PROOF-FOUND
% 4.70/4.87 *
%------------------------------------------------------------------------------