TSTP Solution File: GEO558+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 06:16:42 EDT 2022
% Result : Theorem 10.57s 10.79s
% Output : Refutation 10.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of clauses : 40 ( 22 unt; 0 nHn; 26 RR)
% Number of literals : 68 ( 0 equ; 32 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 121 ( 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(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(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(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(119,negated_conjecture,
circle('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012018) ).
cnf(120,negated_conjecture,
~ perp('SKOLEMAAAV26','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012018) ).
cnf(125,plain,
~ perp('SKOLEMAAAV26','SKOLEMAAAV29','SKOLEMAAAV24','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[6,120]) ).
cnf(131,plain,
perp('SKOLEMAAAV12'('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),'SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[98,119]) ).
cnf(149,plain,
~ perp('SKOLEMAAAV24','SKOLEMAAAV29','SKOLEMAAAV26','SKOLEMAAAV29'),
inference('UR-RESOLVE',[status(thm)],[7,125]) ).
cnf(165,plain,
~ perp('SKOLEMAAAV24','SKOLEMAAAV29','SKOLEMAAAV29','SKOLEMAAAV26'),
inference('UR-RESOLVE',[status(thm)],[6,149]) ).
cnf(207,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV12'('SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV29','SKOLEMAAAV32'),'SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,131]) ).
cnf(267,plain,
para('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[8,207,131]) ).
cnf(281,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,267]) ).
cnf(1522,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV23','SKOLEMAAAV28',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,281]) ).
cnf(1523,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV28',X,Y,'SKOLEMAAAV23','SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[18,281]) ).
cnf(3535,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,1523]) ).
cnf(3541,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,3535]) ).
cnf(3545,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,3541,3541]) ).
cnf(7266,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,3545,3545]) ).
cnf(7272,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,7266]) ).
cnf(7281,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV28','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[7272,1522]) ).
cnf(7419,plain,
cyclic('SKOLEMAAAV28','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,7281,7281]) ).
cnf(7551,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,7419,7419]) ).
cnf(8123,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,7551,7551]) ).
cnf(8124,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,8123]) ).
cnf(8126,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,8123]) ).
cnf(8127,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,8123]) ).
cnf(8217,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[8127,8126]) ).
cnf(8297,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[8124,8217,8217,165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO558+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 17:27:34 EDT 2022
% 0.12/0.34 % 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 2022-06-18T17:27:34
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T17:27:34
% 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)).
% 10.57/10.79 ; Declaring coll to be commutative.
% 10.57/10.79
% 10.57/10.79 #||
% 10.57/10.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.57/10.79 % SZS output start Refutation
% See solution above
% 10.57/10.80 ||#
% 10.57/10.80
% 10.57/10.80 ; Summary of computation:
% 10.57/10.80 ; 57596 formulas have been input or derived (from 865 formulas).
% 10.57/10.80 ; 8297 (14%) were retained. Of these,
% 10.57/10.80 ; 6893 (83%) were simplified or subsumed later,
% 10.57/10.80 ; 1404 (17%) are still being kept.
% 10.57/10.80 ;
% 10.57/10.80 ; Run time in seconds excluding printing time:
% 10.57/10.80 ; 0.032 0% Read assertion file (1 call)
% 10.57/10.80 ; 0.004 0% Assert (95 calls)
% 10.57/10.80 ; 0.468 5% Process new row (56,610 calls)
% 10.57/10.80 ; 9.112 88% Resolution (1,728 calls)
% 10.57/10.80 ; 0.004 0% Paramodulation (864 calls)
% 10.57/10.80 ; 0.001 0% Condensing (135 calls)
% 10.57/10.80 ; 0.003 0% Forward subsumption (135 calls)
% 10.57/10.80 ; 0.003 0% Backward subsumption (134 calls)
% 10.57/10.80 ; 0.001 0% Clause clause subsumption (167 calls)
% 10.57/10.80 ; 0.149 1% Forward simplification (35,096 calls)
% 10.57/10.80 ; 0.367 4% Backward simplification (8,297 calls)
% 10.57/10.80 ; 0.000 0% Ordering (24 calls)
% 10.57/10.80 ; 0.000 0% Sortal reasoning (32 calls)
% 10.57/10.80 ; 0.000 0% Purity testing (1 call)
% 10.57/10.80 ; 0.179 2% Other
% 10.57/10.80 ; 10.323 Total
% 10.57/10.80 ; 10.327 Real time
% 10.57/10.80 ;
% 10.57/10.80 ; Term-hash-array has 11,550 terms in all.
% 10.57/10.80 ; Feature-vector-row-index has 77 entries (121 at peak, 134 added, 57 deleted).
% 10.57/10.80 ; Feature-vector-row-index has 101 nodes (222 at peak, 236 added, 135 deleted).
% 10.57/10.80 ; Retrieved 149 possibly forward subsuming rows in 135 calls.
% 10.57/10.80 ; Retrieved 52 possibly backward subsumed rows in 134 calls.
% 10.57/10.80 ; Path-index has 1,683 entries (8,911 at peak, 11,579 added, 9,896 deleted).
% 10.57/10.80 ; Path-index has 2,094 nodes (2,094 at peak, 2,754 added, 660 deleted).
% 10.57/10.80 ; Trie-index has 1,683 entries (8,911 at peak, 11,579 added, 9,896 deleted).
% 10.57/10.80 ; Trie-index has 6,872 nodes (24,500 at peak, 32,724 added, 25,852 deleted).
% 10.57/10.80 ; Retrieved 43,057 generalization terms in 35,029 calls.
% 10.57/10.80 ; Retrieved 24,893 instance terms in 8,162 calls.
% 10.57/10.80 ; Retrieved 15,097,090 unifiable terms in 791,249 calls.
% 10.57/10.80 ;
% 10.57/10.80 ; The agenda of rows to process has 154 entries:
% 10.57/10.80 ; 1 with value 7 36 with value 14 18 with value 22
% 10.57/10.80 ; 20 with value 8 24 with value 19 12 with value 23
% 10.57/10.80 ; 2 with value 10 30 with value 21 10 with value 26
% 10.57/10.80 ; 1 with value 12
% 10.57/10.80 ; The agenda of rows to give has 1103 entries:
% 10.57/10.80 ; 3 with value (4 7) 318 with value (4 15) 29 with value (4 22)
% 10.57/10.80 ; 10 with value (4 8) 45 with value (4 16) 23 with value (4 23)
% 10.57/10.80 ; 1 with value (4 9) 34 with value (4 17) 12 with value (4 24)
% 10.57/10.80 ; 4 with value (4 10) 82 with value (4 18) 9 with value (4 25)
% 10.57/10.80 ; 3 with value (4 11) 212 with value (4 19) 9 with value (4 26)
% 10.57/10.80 ; 12 with value (4 12) 153 with value (4 20) 2 with value (4 29)
% 10.57/10.80 ; 9 with value (4 13) 62 with value (4 21) 3 with value (4 31)
% 10.57/10.80 ; 68 with value (4 14)
% 10.57/10.80 Evaluation took:
% 10.57/10.80 10.328 seconds of real time
% 10.57/10.80 10.068812 seconds of user run time
% 10.57/10.80 0.257649 seconds of system run time
% 10.57/10.80 [Run times include 0.497 seconds GC run time.]
% 10.57/10.80 0 calls to %EVAL
% 10.57/10.80 0 page faults and
% 10.57/10.80 778,844,352 bytes consed.
% 10.57/10.80 :PROOF-FOUND
% 10.57/10.80 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T17:27:44
% 10.57/10.80 :PROOF-FOUND
% 10.57/10.80 *
%------------------------------------------------------------------------------