TSTP Solution File: GEO555+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:16:41 EDT 2022
% Result : Theorem 113.30s 113.50s
% Output : Refutation 113.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 17 RR)
% Number of literals : 44 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 83 ( 11 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(13,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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(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(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(112,negated_conjecture,
perp('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).
cnf(126,negated_conjecture,
~ cyclic('SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).
cnf(148,plain,
perp('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(155,plain,
~ cyclic('SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV27','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[13,126]) ).
cnf(228,plain,
para('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,148,112]) ).
cnf(363,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,228]) ).
cnf(17739,plain,
eqangle('SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,363]) ).
cnf(17740,plain,
eqangle(X,Y,'SKOLEMAAAV22','SKOLEMAAAV23',X,Y,'SKOLEMAAAV22','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,363]) ).
cnf(22483,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,17740]) ).
cnf(22489,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,22483]) ).
cnf(22497,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,22489,22489]) ).
cnf(34039,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,22497,22497]) ).
cnf(34045,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,34039]) ).
cnf(34089,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22',X),
inference('HYPERRESOLVE',[status(thm)],[34045,17739]) ).
cnf(34092,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,34089,34089]) ).
cnf(34097,plain,
cyclic('SKOLEMAAAV22',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,34092,34092]) ).
cnf(34134,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[16,34097,34097,155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 15:37:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-06-18T15:37:03
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T15:37:03
% 0.19/0.51
% 0.19/0.51 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)).
% 113.30/113.50 ; Declaring coll to be commutative.
% 113.30/113.50
% 113.30/113.50 #||
% 113.30/113.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.30/113.50 % SZS output start Refutation
% See solution above
% 113.30/113.52 ||#
% 113.30/113.52
% 113.30/113.52 ; Summary of computation:
% 113.30/113.52 ; 204936 formulas have been input or derived (from 2072 formulas).
% 113.30/113.52 ; 34134 (17%) were retained. Of these,
% 113.30/113.52 ; 30508 (89%) were simplified or subsumed later,
% 113.30/113.52 ; 3626 (11%) are still being kept.
% 113.30/113.52 ;
% 113.30/113.52 ; Run time in seconds excluding printing time:
% 113.30/113.52 ; 0.031 0% Read assertion file (1 call)
% 113.30/113.52 ; 0.006 0% Assert (95 calls)
% 113.30/113.52 ; 2.237 2% Process new row (201,939 calls)
% 113.30/113.52 ; 105.515 93% Resolution (4,142 calls)
% 113.30/113.52 ; 0.016 0% Paramodulation (2,071 calls)
% 113.30/113.52 ; 0.004 0% Condensing (156 calls)
% 113.30/113.52 ; 0.002 0% Forward subsumption (156 calls)
% 113.30/113.52 ; 0.002 0% Backward subsumption (153 calls)
% 113.30/113.52 ; 0.003 0% Clause clause subsumption (165 calls)
% 113.30/113.52 ; 0.702 1% Forward simplification (136,805 calls)
% 113.30/113.52 ; 3.881 3% Backward simplification (34,134 calls)
% 113.30/113.52 ; 0.001 0% Ordering (72 calls)
% 113.30/113.52 ; 0.000 0% Sortal reasoning (32 calls)
% 113.30/113.52 ; 0.000 0% Purity testing (1 call)
% 113.30/113.52 ; 0.600 1% Other
% 113.30/113.52 ; 113.000 Total
% 113.30/113.52 ; 113.049 Real time
% 113.30/113.52 ;
% 113.30/113.52 ; Term-hash-array has 48,160 terms in all.
% 113.30/113.52 ; Feature-vector-row-index has 86 entries (145 at peak, 153 added, 67 deleted).
% 113.30/113.52 ; Feature-vector-row-index has 125 nodes (370 at peak, 378 added, 253 deleted).
% 113.30/113.52 ; Retrieved 149 possibly forward subsuming rows in 156 calls.
% 113.30/113.52 ; Retrieved 50 possibly backward subsumed rows in 153 calls.
% 113.30/113.52 ; Path-index has 3,746 entries (41,244 at peak, 48,179 added, 44,433 deleted).
% 113.30/113.52 ; Path-index has 1,130 nodes (1,759 at peak, 1,777 added, 647 deleted).
% 113.30/113.52 ; Trie-index has 3,746 entries (41,244 at peak, 48,179 added, 44,433 deleted).
% 113.30/113.52 ; Trie-index has 10,241 nodes (92,720 at peak, 108,313 added, 98,072 deleted).
% 113.30/113.52 ; Retrieved 145,579 generalization terms in 136,769 calls.
% 113.30/113.52 ; Retrieved 120,455 instance terms in 33,980 calls.
% 113.30/113.52 ; Retrieved 111,632,892 unifiable terms in 3,837,282 calls.
% 113.30/113.52 ;
% 113.30/113.52 ; The agenda of rows to process has 90 entries:
% 113.30/113.52 ; 76 with value 14 10 with value 18 4 with value 21
% 113.30/113.52 ; The agenda of rows to give has 2672 entries:
% 113.30/113.52 ; 2 with value (4 13) 153 with value (4 17) 27 with value (4 21)
% 113.30/113.52 ; 1493 with value (4 14) 444 with value (4 18) 69 with value (4 22)
% 113.30/113.52 ; 405 with value (4 15) 23 with value (4 19) 2 with value (4 25)
% 113.30/113.52 ; 46 with value (4 16) 8 with value (4 20)
% 113.30/113.52 Evaluation took:
% 113.30/113.52 113.05 seconds of real time
% 113.30/113.52 111.62091 seconds of user run time
% 113.30/113.52 1.400889 seconds of system run time
% 113.30/113.52 [Run times include 4.739 seconds GC run time.]
% 113.30/113.52 0 calls to %EVAL
% 113.30/113.52 0 page faults and
% 113.30/113.52 4,435,805,184 bytes consed.
% 113.30/113.52 :PROOF-FOUND
% 113.30/113.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:38:56
% 113.30/113.52 :PROOF-FOUND
% 113.30/113.52 *
%------------------------------------------------------------------------------