TSTP Solution File: GEO582+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO582+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 06:16:49 EDT 2022
% Result : Theorem 7.80s 7.98s
% Output : Refutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 22 unt; 0 nHn; 20 RR)
% Number of literals : 55 ( 0 equ; 21 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 106 ( 15 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(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(66,axiom,
( ~ para(X,Y,X,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
cnf(73,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ perp(V,W,X1,Y1)
| perp(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
cnf(114,negated_conjecture,
perp('SKOLEMAAAW21','SKOLEMAAAW22','SKOLEMAAAW21','SKOLEMAAAW26'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
cnf(116,negated_conjecture,
perp('SKOLEMAAAW23','SKOLEMAAAW25','SKOLEMAAAW23','SKOLEMAAAW27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
cnf(118,negated_conjecture,
~ para('SKOLEMAAAW25','SKOLEMAAAW22','SKOLEMAAAW26','SKOLEMAAAW27'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
cnf(127,plain,
perp('SKOLEMAAAW23','SKOLEMAAAW27','SKOLEMAAAW23','SKOLEMAAAW25'),
inference('HYPERRESOLVE',[status(thm)],[7,116]) ).
cnf(162,plain,
para('SKOLEMAAAW23','SKOLEMAAAW27','SKOLEMAAAW23','SKOLEMAAAW27'),
inference('HYPERRESOLVE',[status(thm)],[8,127,116]) ).
cnf(223,plain,
eqangle('SKOLEMAAAW23','SKOLEMAAAW27',X,Y,'SKOLEMAAAW23','SKOLEMAAAW27',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,162]) ).
cnf(2055,plain,
eqangle('SKOLEMAAAW23','SKOLEMAAAW27','SKOLEMAAAW23','SKOLEMAAAW27',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,223]) ).
cnf(2056,plain,
eqangle(X,Y,'SKOLEMAAAW23','SKOLEMAAAW27',X,Y,'SKOLEMAAAW23','SKOLEMAAAW27'),
inference('HYPERRESOLVE',[status(thm)],[18,223]) ).
cnf(4494,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2056]) ).
cnf(4500,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4494]) ).
cnf(4505,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4500,4500]) ).
cnf(5969,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4505,4505]) ).
cnf(5975,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,5969]) ).
cnf(5985,plain,
cyclic('SKOLEMAAAW27','SKOLEMAAAW27','SKOLEMAAAW23',X),
inference('HYPERRESOLVE',[status(thm)],[5975,2055]) ).
cnf(6101,plain,
cyclic('SKOLEMAAAW27','SKOLEMAAAW23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,5985,5985]) ).
cnf(6110,plain,
cyclic('SKOLEMAAAW23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,6101,6101]) ).
cnf(6188,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,6110,6110]) ).
cnf(6191,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,6188]) ).
cnf(6197,plain,
perp(X,'SKOLEMAAAW25',X,'SKOLEMAAAW27'),
inference('HYPERRESOLVE',[status(thm)],[73,6191,116]) ).
cnf(6198,plain,
perp(X,'SKOLEMAAAW22',X,'SKOLEMAAAW26'),
inference('HYPERRESOLVE',[status(thm)],[73,6191,114]) ).
cnf(6287,plain,
~ perp('SKOLEMAAAW25','SKOLEMAAAW22','SKOLEMAAAW26','SKOLEMAAAW25'),
inference('UR-RESOLVE',[status(thm)],[8,6197,118]) ).
cnf(6300,plain,
perp(X,'SKOLEMAAAW22','SKOLEMAAAW26',X),
inference('HYPERRESOLVE',[status(thm)],[6,6198]) ).
cnf(6301,plain,
$false,
inference('REWRITE',[status(thm)],[6287,6300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 02:59:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:59:56
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-18T02:59:56
% 0.18/0.51
% 0.18/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 7.80/7.98 ; Declaring coll to be commutative.
% 7.80/7.98
% 7.80/7.98 #||
% 7.80/7.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.80/7.98 % SZS output start Refutation
% See solution above
% 7.80/7.99 ||#
% 7.80/7.99
% 7.80/7.99 ; Summary of computation:
% 7.80/7.99 ; 41302 formulas have been input or derived (from 704 formulas).
% 7.80/7.99 ; 6301 (15%) were retained. Of these,
% 7.80/7.99 ; 5526 (88%) were simplified or subsumed later,
% 7.80/7.99 ; 775 (12%) are still being kept.
% 7.80/7.99 ;
% 7.80/7.99 ; Run time in seconds excluding printing time:
% 7.80/7.99 ; 0.032 0% Read assertion file (1 call)
% 7.80/7.99 ; 0.004 0% Assert (95 calls)
% 7.80/7.99 ; 0.379 5% Process new row (39,862 calls)
% 7.80/7.99 ; 6.478 86% Resolution (1,406 calls)
% 7.80/7.99 ; 0.001 0% Paramodulation (703 calls)
% 7.80/7.99 ; 0.005 0% Condensing (142 calls)
% 7.80/7.99 ; 0.002 0% Forward subsumption (142 calls)
% 7.80/7.99 ; 0.003 0% Backward subsumption (140 calls)
% 7.80/7.99 ; 0.003 0% Clause clause subsumption (168 calls)
% 7.80/7.99 ; 0.131 2% Forward simplification (27,208 calls)
% 7.80/7.99 ; 0.342 5% Backward simplification (6,301 calls)
% 7.80/7.99 ; 0.000 0% Ordering (36 calls)
% 7.80/7.99 ; 0.000 0% Sortal reasoning (32 calls)
% 7.80/7.99 ; 0.000 0% Purity testing (1 call)
% 7.80/7.99 ; 0.130 2% Other
% 7.80/7.99 ; 7.510 Total
% 7.80/7.99 ; 7.515 Real time
% 7.80/7.99 ;
% 7.80/7.99 ; Term-hash-array has 8,583 terms in all.
% 7.80/7.99 ; Feature-vector-row-index has 77 entries (127 at peak, 140 added, 63 deleted).
% 7.80/7.99 ; Feature-vector-row-index has 101 nodes (267 at peak, 281 added, 180 deleted).
% 7.80/7.99 ; Retrieved 150 possibly forward subsuming rows in 142 calls.
% 7.80/7.99 ; Retrieved 52 possibly backward subsumed rows in 140 calls.
% 7.80/7.99 ; Path-index has 933 entries (6,211 at peak, 8,608 added, 7,675 deleted).
% 7.80/7.99 ; Path-index has 2,321 nodes (3,763 at peak, 4,068 added, 1,747 deleted).
% 7.80/7.99 ; Trie-index has 933 entries (6,211 at peak, 8,608 added, 7,675 deleted).
% 7.80/7.99 ; Trie-index has 4,240 nodes (26,839 at peak, 35,566 added, 31,326 deleted).
% 7.80/7.99 ; Retrieved 28,160 generalization terms in 27,159 calls.
% 7.80/7.99 ; Retrieved 23,064 instance terms in 6,160 calls.
% 7.80/7.99 ; Retrieved 10,262,653 unifiable terms in 429,015 calls.
% 7.80/7.99 ;
% 7.80/7.99 ; The agenda of rows to process has 39 entries:
% 7.80/7.99 ; 7 with value 8 1 with value 11 12 with value 13
% 7.80/7.99 ; 8 with value 9 1 with value 12 6 with value 14
% 7.80/7.99 ; 4 with value 10
% 7.80/7.99 ; The agenda of rows to give has 600 entries:
% 7.80/7.99 ; 4 with value (4 7) 14 with value (4 13) 72 with value (4 19)
% 7.80/7.99 ; 8 with value (4 8) 162 with value (4 14) 25 with value (4 20)
% 7.80/7.99 ; 2 with value (4 9) 181 with value (4 15) 8 with value (4 21)
% 7.80/7.99 ; 4 with value (4 10) 19 with value (4 16) 12 with value (4 22)
% 7.80/7.99 ; 5 with value (4 11) 14 with value (4 17) 10 with value (4 23)
% 7.80/7.99 ; 2 with value (4 12) 54 with value (4 18) 4 with value (4 24)
% 7.80/7.99 Evaluation took:
% 7.80/7.99 7.516 seconds of real time
% 7.80/7.99 7.296951 seconds of user run time
% 7.80/7.99 0.216313 seconds of system run time
% 7.80/7.99 [Run times include 0.452 seconds GC run time.]
% 7.80/7.99 0 calls to %EVAL
% 7.80/7.99 0 page faults and
% 7.80/7.99 519,194,920 bytes consed.
% 7.80/7.99 :PROOF-FOUND
% 7.80/7.99 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:00:03
% 7.80/7.99 :PROOF-FOUND
% 7.80/7.99 *
%------------------------------------------------------------------------------