TSTP Solution File: GEO614+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 06:16:58 EDT 2022
% Result : Theorem 52.66s 52.83s
% Output : Refutation 52.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of clauses : 34 ( 18 unt; 0 nHn; 20 RR)
% Number of literals : 60 ( 0 equ; 27 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 113 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ coll(X,Y,Z)
| ~ coll(X,Y,U)
| coll(Z,U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
cnf(7,axiom,
( ~ perp(X,Y,Z,U)
| perp(Z,U,X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
cnf(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(118,negated_conjecture,
perp('SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
cnf(121,negated_conjecture,
~ perp('SKOLEMAAAV26','SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV29'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
cnf(134,plain,
perp('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV28','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[7,118]) ).
cnf(206,plain,
para('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[8,134,118]) ).
cnf(327,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV25',X,Y,'SKOLEMAAAV24','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,206]) ).
cnf(9958,plain,
eqangle('SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV24','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,327]) ).
cnf(9959,plain,
eqangle(X,Y,'SKOLEMAAAV24','SKOLEMAAAV25',X,Y,'SKOLEMAAAV24','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[18,327]) ).
cnf(39764,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,9959]) ).
cnf(39773,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,39764]) ).
cnf(40740,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,39773,39773]) ).
cnf(45590,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,40740,40740]) ).
cnf(45596,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,45590]) ).
cnf(45635,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV25','SKOLEMAAAV24',X),
inference('HYPERRESOLVE',[status(thm)],[45596,9958]) ).
cnf(45764,plain,
cyclic('SKOLEMAAAV25','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,45635,45635]) ).
cnf(46675,plain,
cyclic('SKOLEMAAAV24',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,45764,45764]) ).
cnf(47153,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,46675,46675]) ).
cnf(47154,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,47153]) ).
cnf(47156,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,47153]) ).
cnf(47157,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,47153]) ).
cnf(47242,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[47157,47156]) ).
cnf(47363,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[47154,47242,47242,121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 12:31:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:31:54
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T12:31:54
% 0.18/0.50
% 0.18/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 52.66/52.83 ; Declaring coll to be commutative.
% 52.66/52.83
% 52.66/52.83 #||
% 52.66/52.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.66/52.83 % SZS output start Refutation
% See solution above
% 52.66/52.83 ||#
% 52.66/52.83
% 52.66/52.83 ; Summary of computation:
% 52.66/52.83 ; 178196 formulas have been input or derived (from 1584 formulas).
% 52.66/52.83 ; 47363 (27%) were retained. Of these,
% 52.66/52.83 ; 40932 (86%) were simplified or subsumed later,
% 52.66/52.83 ; 6431 (14%) are still being kept.
% 52.66/52.83 ;
% 52.66/52.83 ; Run time in seconds excluding printing time:
% 52.66/52.83 ; 0.031 0% Read assertion file (1 call)
% 52.66/52.83 ; 0.006 0% Assert (95 calls)
% 52.66/52.83 ; 2.841 5% Process new row (174,841 calls)
% 52.66/52.83 ; 43.036 82% Resolution (3,166 calls)
% 52.66/52.83 ; 0.009 0% Paramodulation (1,583 calls)
% 52.66/52.83 ; 0.002 0% Condensing (364 calls)
% 52.66/52.83 ; 0.007 0% Forward subsumption (364 calls)
% 52.66/52.83 ; 0.007 0% Backward subsumption (342 calls)
% 52.66/52.83 ; 0.001 0% Clause clause subsumption (701 calls)
% 52.66/52.83 ; 1.040 2% Forward simplification (140,754 calls)
% 52.66/52.83 ; 4.842 9% Backward simplification (47,363 calls)
% 52.66/52.83 ; 0.000 0% Ordering (440 calls)
% 52.66/52.83 ; 0.001 0% Sortal reasoning (32 calls)
% 52.66/52.83 ; 0.000 0% Purity testing (1 call)
% 52.66/52.83 ; 0.548 1% Other
% 52.66/52.83 ; 52.371 Total
% 52.66/52.83 ; 52.370 Real time
% 52.66/52.83 ;
% 52.66/52.83 ; Term-hash-array has 66,232 terms in all.
% 52.66/52.83 ; Feature-vector-row-index has 173 entries (329 at peak, 342 added, 169 deleted).
% 52.66/52.83 ; Feature-vector-row-index has 324 nodes (692 at peak, 706 added, 382 deleted).
% 52.66/52.83 ; Retrieved 454 possibly forward subsuming rows in 364 calls.
% 52.66/52.83 ; Retrieved 293 possibly backward subsumed rows in 342 calls.
% 52.66/52.83 ; Path-index has 7,930 entries (55,083 at peak, 66,259 added, 58,329 deleted).
% 52.66/52.83 ; Path-index has 2,815 nodes (3,622 at peak, 4,036 added, 1,221 deleted).
% 52.66/52.83 ; Trie-index has 7,930 entries (55,083 at peak, 66,259 added, 58,329 deleted).
% 52.66/52.83 ; Trie-index has 33,683 nodes (158,453 at peak, 190,477 added, 156,794 deleted).
% 52.66/52.83 ; Retrieved 119,358 generalization terms in 140,747 calls.
% 52.66/52.83 ; Retrieved 211,813 instance terms in 47,020 calls.
% 52.66/52.83 ; Retrieved 68,832,677 unifiable terms in 1,465,982 calls.
% 52.66/52.83 ;
% 52.66/52.83 ; The agenda of rows to process has 243 entries:
% 52.66/52.83 ; 1 with value 7 1 with value 13 56 with value 20
% 52.66/52.83 ; 30 with value 8 36 with value 14 6 with value 21
% 52.66/52.83 ; 14 with value 9 10 with value 16 16 with value 22
% 52.66/52.83 ; 18 with value 10 5 with value 17 6 with value 23
% 52.66/52.83 ; 16 with value 11 14 with value 18 1 with value 25
% 52.66/52.83 ; 1 with value 12 12 with value 19
% 52.66/52.83 ; The agenda of rows to give has 5981 entries:
% 52.66/52.83 ; 1 with value (4 7) 223 with value (4 17) 197 with value (4 27)
% 52.66/52.83 ; 5 with value (4 8) 1537 with value (4 18) 244 with value (4 28)
% 52.66/52.83 ; 1 with value (4 9) 244 with value (4 19) 179 with value (4 29)
% 52.66/52.83 ; 4 with value (4 10) 467 with value (4 20) 10 with value (4 30)
% 52.66/52.83 ; 6 with value (4 11) 418 with value (4 21) 17 with value (4 31)
% 52.66/52.83 ; 7 with value (4 12) 244 with value (4 22) 16 with value (4 32)
% 52.66/52.83 ; 20 with value (4 13) 90 with value (4 23) 58 with value (4 33)
% 52.66/52.83 ; 500 with value (4 14) 119 with value (4 24) 70 with value (4 34)
% 52.66/52.83 ; 618 with value (4 15) 202 with value (4 25) 126 with value (4 35)
% 52.66/52.83 ; 167 with value (4 16) 191 with value (4 26)
% 52.66/52.83 Evaluation took:
% 52.66/52.83 52.372 seconds of real time
% 52.66/52.83 51.086926 seconds of user run time
% 52.66/52.83 1.288162 seconds of system run time
% 52.66/52.83 [Run times include 4.933 seconds GC run time.]
% 52.66/52.83 0 calls to %EVAL
% 52.66/52.83 0 page faults and
% 52.66/52.83 2,387,798,840 bytes consed.
% 52.66/52.83 :PROOF-FOUND
% 52.66/52.83 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T12:32:47
% 52.66/52.83 :PROOF-FOUND
% 52.66/52.83 *
%------------------------------------------------------------------------------