TSTP Solution File: GEO643+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO643+1 : TPTP v8.1.0. Released v7.5.0.
% 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 06:17:07 EDT 2022
% Result : Theorem 30.74s 30.92s
% Output : Refutation 30.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of clauses : 32 ( 18 unt; 0 nHn; 21 RR)
% Number of literals : 50 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 91 ( 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(14,axiom,
( ~ cyclic(X,Y,Z,U)
| cyclic(X,Z,Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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(98,axiom,
( ~ circle(X,Y,Z,U)
| perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
cnf(116,negated_conjecture,
circle('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109109F) ).
cnf(120,negated_conjecture,
~ cyclic('SKOLEMAAAV29','SKOLEMAAAV30','SKOLEMAAAV28','SKOLEMAAAV27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109109F) ).
cnf(130,plain,
~ cyclic('SKOLEMAAAV29','SKOLEMAAAV28','SKOLEMAAAV30','SKOLEMAAAV27'),
inference('UR-RESOLVE',[status(thm)],[14,120]) ).
cnf(140,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),'SKOLEMAAAV24','SKOLEMAAAV24','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[98,116]) ).
cnf(174,plain,
~ cyclic('SKOLEMAAAV29','SKOLEMAAAV28','SKOLEMAAAV27','SKOLEMAAAV30'),
inference('UR-RESOLVE',[status(thm)],[13,130]) ).
cnf(270,plain,
perp('SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),'SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[7,140]) ).
cnf(278,plain,
para('SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[8,270,140]) ).
cnf(283,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV27',X,Y,'SKOLEMAAAV24','SKOLEMAAAV27',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,278]) ).
cnf(1992,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV27',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,283]) ).
cnf(1993,plain,
eqangle(X,Y,'SKOLEMAAAV24','SKOLEMAAAV27',X,Y,'SKOLEMAAAV24','SKOLEMAAAV27'),
inference('HYPERRESOLVE',[status(thm)],[18,283]) ).
cnf(5509,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1993]) ).
cnf(5515,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,5509]) ).
cnf(5519,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,5515,5515]) ).
cnf(14111,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,5519,5519]) ).
cnf(14117,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,14111]) ).
cnf(14122,plain,
cyclic('SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV24',X),
inference('HYPERRESOLVE',[status(thm)],[14117,1992]) ).
cnf(14158,plain,
cyclic('SKOLEMAAAV27','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,14122,14122]) ).
cnf(14180,plain,
cyclic('SKOLEMAAAV24',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,14158,14158]) ).
cnf(14238,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[16,14180,14180,174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO643+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 13:53:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:53:02
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T13:53:02
% 0.36/0.52
% 0.36/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.36/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 30.74/30.92 ; Declaring coll to be commutative.
% 30.74/30.92
% 30.74/30.92 #||
% 30.74/30.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.74/30.92 % SZS output start Refutation
% See solution above
% 30.74/30.92 ||#
% 30.74/30.92
% 30.74/30.92 ; Summary of computation:
% 30.74/30.92 ; 108438 formulas have been input or derived (from 1011 formulas).
% 30.74/30.92 ; 14238 (13%) were retained. Of these,
% 30.74/30.92 ; 13054 (92%) were simplified or subsumed later,
% 30.74/30.92 ; 1184 ( 8%) are still being kept.
% 30.74/30.92 ;
% 30.74/30.92 ; Run time in seconds excluding printing time:
% 30.74/30.92 ; 0.031 0% Read assertion file (1 call)
% 30.74/30.92 ; 0.004 0% Assert (95 calls)
% 30.74/30.92 ; 0.897 3% Process new row (106,749 calls)
% 30.74/30.92 ; 27.916 92% Resolution (2,020 calls)
% 30.74/30.92 ; 0.008 0% Paramodulation (1,010 calls)
% 30.74/30.92 ; 0.003 0% Condensing (132 calls)
% 30.74/30.92 ; 0.003 0% Forward subsumption (132 calls)
% 30.74/30.92 ; 0.003 0% Backward subsumption (131 calls)
% 30.74/30.92 ; 0.000 0% Clause clause subsumption (163 calls)
% 30.74/30.92 ; 0.329 1% Forward simplification (64,341 calls)
% 30.74/30.92 ; 0.938 3% Backward simplification (14,238 calls)
% 30.74/30.92 ; 0.000 0% Ordering (28 calls)
% 30.74/30.92 ; 0.000 0% Sortal reasoning (32 calls)
% 30.74/30.92 ; 0.000 0% Purity testing (1 call)
% 30.74/30.92 ; 0.309 1% Other
% 30.74/30.92 ; 30.441 Total
% 30.74/30.92 ; 30.447 Real time
% 30.74/30.92 ;
% 30.74/30.92 ; Term-hash-array has 20,375 terms in all.
% 30.74/30.92 ; Feature-vector-row-index has 84 entries (123 at peak, 131 added, 47 deleted).
% 30.74/30.92 ; Feature-vector-row-index has 114 nodes (237 at peak, 245 added, 131 deleted).
% 30.74/30.92 ; Retrieved 147 possibly forward subsuming rows in 132 calls.
% 30.74/30.92 ; Retrieved 50 possibly backward subsumed rows in 131 calls.
% 30.74/30.92 ; Path-index has 1,288 entries (17,991 at peak, 20,394 added, 19,106 deleted).
% 30.74/30.92 ; Path-index has 1,406 nodes (1,992 at peak, 2,114 added, 708 deleted).
% 30.74/30.92 ; Trie-index has 1,288 entries (17,991 at peak, 20,394 added, 19,106 deleted).
% 30.74/30.92 ; Trie-index has 3,998 nodes (44,051 at peak, 50,050 added, 46,052 deleted).
% 30.74/30.92 ; Retrieved 82,708 generalization terms in 64,269 calls.
% 30.74/30.92 ; Retrieved 37,709 instance terms in 14,106 calls.
% 30.74/30.92 ; Retrieved 40,281,684 unifiable terms in 2,136,156 calls.
% 30.74/30.92 ;
% 30.74/30.92 ; The agenda of rows to process has 74 entries:
% 30.74/30.92 ; 66 with value 15 1 with value 21 1 with value 22
% 30.74/30.92 ; 6 with value 19
% 30.74/30.92 ; The agenda of rows to give has 776 entries:
% 30.74/30.92 ; 16 with value (4 14) 140 with value (4 19) 8 with value (4 24)
% 30.74/30.92 ; 434 with value (4 15) 11 with value (4 20) 3 with value (4 25)
% 30.74/30.92 ; 47 with value (4 16) 5 with value (4 21) 1 with value (4 28)
% 30.74/30.92 ; 23 with value (4 17) 14 with value (4 22) 1 with value (4 29)
% 30.74/30.92 ; 52 with value (4 18) 21 with value (4 23)
% 30.74/30.92 Evaluation took:
% 30.74/30.92 30.447 seconds of real time
% 30.74/30.92 29.900269 seconds of user run time
% 30.74/30.92 0.543948 seconds of system run time
% 30.74/30.92 [Run times include 1.452 seconds GC run time.]
% 30.74/30.92 0 calls to %EVAL
% 30.74/30.92 0 page faults and
% 30.74/30.92 2,025,145,984 bytes consed.
% 30.74/30.92 :PROOF-FOUND
% 30.74/30.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:53:32
% 30.74/30.92 :PROOF-FOUND
% 30.74/30.92 *
%------------------------------------------------------------------------------