TSTP Solution File: GEO658+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO658+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 06:17:12 EDT 2022
% Result : Theorem 42.31s 42.49s
% Output : Refutation 42.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 47 ( 22 unt; 0 nHn; 25 RR)
% Number of literals : 91 ( 0 equ; 46 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 188 ( 28 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(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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(21,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ eqangle(V,W,X1,Y1,Z1,U1,V1,W1)
| eqangle(X,Y,Z,U,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(51,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(V,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
cnf(52,axiom,
( ~ perp(X,Y,Y,Z)
| ~ midp(U,X,Z)
| cong(X,U,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
cnf(56,axiom,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(X,Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(106,axiom,
( ~ perp(X,Y,Y,Z)
| ~ coll(Z,U,V)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(112,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).
cnf(123,negated_conjecture,
~ para('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV29'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).
cnf(163,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV24',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,112]) ).
cnf(8523,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,163]) ).
cnf(8589,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[19,8523]) ).
cnf(9807,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,8589,112]) ).
cnf(9810,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,8589,8523]) ).
cnf(9817,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,9807]) ).
cnf(9821,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,9817,9817]) ).
cnf(17339,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,9821,9821]) ).
cnf(17340,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,17339]) ).
cnf(17343,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,17339]) ).
cnf(17345,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,17339]) ).
cnf(19500,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[17345,9810]) ).
cnf(19507,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,19500,19500]) ).
cnf(19508,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,19507]) ).
cnf(19509,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,19507]) ).
cnf(19510,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,19507]) ).
cnf(19511,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,19507]) ).
cnf(19628,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[19511,19510]) ).
cnf(19645,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[19508,19628,19628]) ).
cnf(19650,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,19645]) ).
cnf(19651,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[17340,19645]) ).
cnf(19652,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[19509,19645]) ).
cnf(19658,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[17343,19652,19510]) ).
cnf(19665,plain,
~ perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV28','SKOLEMAAAV29'),X),
inference('UR-RESOLVE',[status(thm)],[8,19651,123]) ).
cnf(19727,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[19650,19658]) ).
cnf(19728,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,19727]) ).
cnf(19729,plain,
$false,
inference('REWRITE',[status(thm)],[19665,19728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 07:58:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:58:03
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T07:58:03
% 0.19/0.50
% 0.19/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 42.31/42.49 ; Declaring coll to be commutative.
% 42.31/42.49
% 42.31/42.49 #||
% 42.31/42.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.31/42.49 % SZS output start Refutation
% See solution above
% 42.31/42.49 ||#
% 42.31/42.49
% 42.31/42.49 ; Summary of computation:
% 42.31/42.49 ; 140161 formulas have been input or derived (from 1835 formulas).
% 42.31/42.49 ; 19729 (14%) were retained. Of these,
% 42.31/42.49 ; 18095 (92%) were simplified or subsumed later,
% 42.31/42.49 ; 1634 ( 8%) are still being kept.
% 42.31/42.49 ;
% 42.31/42.49 ; Run time in seconds excluding printing time:
% 42.31/42.49 ; 0.031 0% Read assertion file (1 call)
% 42.31/42.49 ; 0.004 0% Assert (95 calls)
% 42.31/42.49 ; 1.143 3% Process new row (135,953 calls)
% 42.31/42.49 ; 38.137 91% Resolution (3,668 calls)
% 42.31/42.49 ; 0.004 0% Paramodulation (1,834 calls)
% 42.31/42.49 ; 0.007 0% Condensing (147 calls)
% 42.31/42.49 ; 0.001 0% Forward subsumption (147 calls)
% 42.31/42.49 ; 0.000 0% Backward subsumption (146 calls)
% 42.31/42.49 ; 0.003 0% Clause clause subsumption (174 calls)
% 42.31/42.49 ; 0.505 1% Forward simplification (93,418 calls)
% 42.31/42.49 ; 1.808 4% Backward simplification (19,729 calls)
% 42.31/42.49 ; 0.000 0% Ordering (36 calls)
% 42.31/42.49 ; 0.000 0% Sortal reasoning (32 calls)
% 42.31/42.49 ; 0.000 0% Purity testing (1 call)
% 42.31/42.49 ; 0.381 1% Other
% 42.31/42.49 ; 42.024 Total
% 42.31/42.49 ; 42.029 Real time
% 42.31/42.49 ;
% 42.31/42.49 ; Term-hash-array has 27,137 terms in all.
% 42.31/42.49 ; Feature-vector-row-index has 60 entries (125 at peak, 146 added, 86 deleted).
% 42.31/42.49 ; Feature-vector-row-index has 78 nodes (251 at peak, 274 added, 196 deleted).
% 42.31/42.49 ; Retrieved 156 possibly forward subsuming rows in 147 calls.
% 42.31/42.49 ; Retrieved 56 possibly backward subsumed rows in 146 calls.
% 42.31/42.49 ; Path-index has 1,689 entries (20,786 at peak, 27,172 added, 25,483 deleted).
% 42.31/42.49 ; Path-index has 861 nodes (1,227 at peak, 1,546 added, 685 deleted).
% 42.31/42.49 ; Trie-index has 1,689 entries (20,786 at peak, 27,172 added, 25,483 deleted).
% 42.31/42.49 ; Trie-index has 5,786 nodes (48,073 at peak, 62,826 added, 57,040 deleted).
% 42.31/42.49 ; Retrieved 112,317 generalization terms in 93,364 calls.
% 42.31/42.49 ; Retrieved 76,098 instance terms in 19,582 calls.
% 42.31/42.49 ; Retrieved 52,523,403 unifiable terms in 2,152,335 calls.
% 42.31/42.49 ;
% 42.31/42.49 ; The agenda of backward simplifiable rows to process has 8 entries:
% 42.31/42.49 ; 8 with value 0
% 42.31/42.49 ; The agenda of rows to process has 98 entries:
% 42.31/42.49 ; 19 with value 8 4 with value 12 6 with value 17
% 42.31/42.49 ; 12 with value 9 16 with value 14 1 with value 18
% 42.31/42.49 ; 6 with value 10 20 with value 15 1 with value 19
% 42.31/42.49 ; 4 with value 11 8 with value 16 1 with value 21
% 42.31/42.49 ; The agenda of input rows to give has 1 entry:
% 42.31/42.49 ; 1 with value 6
% 42.31/42.49 ; The agenda of rows to give has 1034 entries:
% 42.31/42.49 ; 10 with value (4 7) 22 with value (4 13) 6 with value (4 17)
% 42.31/42.49 ; 3 with value (4 8) 236 with value (4 14) 1 with value (4 18)
% 42.31/42.49 ; 4 with value (4 10) 714 with value (4 15) 1 with value (4 19)
% 42.31/42.49 ; 7 with value (4 11) 18 with value (4 16) 2 with value (4 29)
% 42.31/42.49 ; 10 with value (4 12)
% 42.31/42.49 Evaluation took:
% 42.31/42.49 42.03 seconds of real time
% 42.31/42.49 41.334408 seconds of user run time
% 42.31/42.49 0.694517 seconds of system run time
% 42.31/42.49 [Run times include 1.948 seconds GC run time.]
% 42.31/42.49 0 calls to %EVAL
% 42.31/42.49 0 page faults and
% 42.31/42.49 2,273,222,144 bytes consed.
% 42.31/42.49 :PROOF-FOUND
% 42.31/42.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:58:45
% 42.31/42.49 :PROOF-FOUND
% 42.31/42.49 *
%------------------------------------------------------------------------------