%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO611+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 06:16:58 EDT 2022
% Result : Theorem 11.72s 11.88s
% Output : Refutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 50 ( 25 unt; 0 nHn; 27 RR)
% Number of literals : 92 ( 0 equ; 44 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 : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 177 ( 32 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(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(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/sandbox/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/sandbox/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/sandbox/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/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(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(114,negated_conjecture,
perp('SKOLEMAAAV26','SKOLEMAAAV25','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618073) ).
cnf(120,negated_conjecture,
~ para('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV28','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618073) ).
cnf(131,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV26','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[7,114]) ).
cnf(167,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,131,114]) ).
cnf(208,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,167]) ).
cnf(2212,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,208]) ).
cnf(2213,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,208]) ).
cnf(4786,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2213]) ).
cnf(4792,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,4786]) ).
cnf(4800,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,4792,4792]) ).
cnf(7823,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,4800,4800]) ).
cnf(7824,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,7823]) ).
cnf(7827,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,7823]) ).
cnf(7829,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,7823]) ).
cnf(7835,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[7829,2212]) ).
cnf(7861,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,7835,7835]) ).
cnf(7865,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,7861,7861]) ).
cnf(7888,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,7865,7865]) ).
cnf(7889,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,7888]) ).
cnf(7890,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,7888]) ).
cnf(7891,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,7888]) ).
cnf(7892,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,7888]) ).
cnf(7934,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[7892,7891]) ).
cnf(7969,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[7889,7934,7934]) ).
cnf(7974,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,7969]) ).
cnf(7975,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[7824,7969]) ).
cnf(7976,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[7890,7969]) ).
cnf(7980,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[7827,7976,7891]) ).
cnf(7987,plain,
~ perp('SKOLEMAAAV27','SKOLEMAAAV26','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV28','SKOLEMAAAV23'),X),
inference('UR-RESOLVE',[status(thm)],[8,7975,120]) ).
cnf(8040,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[7974,7980]) ).
cnf(8041,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,8040]) ).
cnf(8042,plain,
$false,
inference('REWRITE',[status(thm)],[7987,8041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.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 : Fri Jun 17 23:17:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-17T23:17:34
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-17T23:17:34
% 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)).
% 11.72/11.88 ; Declaring coll to be commutative.
% 11.72/11.88
% 11.72/11.88 #||
% 11.72/11.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.72/11.88 % SZS output start Refutation
% See solution above
% 11.72/11.88 ||#
% 11.72/11.88
% 11.72/11.88 ; Summary of computation:
% 11.72/11.88 ; 57742 formulas have been input or derived (from 842 formulas).
% 11.72/11.88 ; 8042 (14%) were retained. Of these,
% 11.72/11.88 ; 7605 (95%) were simplified or subsumed later,
% 11.72/11.88 ; 437 ( 5%) are still being kept.
% 11.72/11.88 ;
% 11.72/11.88 ; Run time in seconds excluding printing time:
% 11.72/11.88 ; 0.032 0% Read assertion file (1 call)
% 11.72/11.88 ; 0.004 0% Assert (95 calls)
% 11.72/11.88 ; 0.382 3% Process new row (56,410 calls)
% 11.72/11.88 ; 10.229 90% Resolution (1,682 calls)
% 11.72/11.88 ; 0.003 0% Paramodulation (841 calls)
% 11.72/11.88 ; 0.000 0% Condensing (150 calls)
% 11.72/11.88 ; 0.003 0% Forward subsumption (150 calls)
% 11.72/11.88 ; 0.003 0% Backward subsumption (148 calls)
% 11.72/11.88 ; 0.002 0% Clause clause subsumption (180 calls)
% 11.72/11.88 ; 0.193 2% Forward simplification (37,359 calls)
% 11.72/11.88 ; 0.410 4% Backward simplification (8,042 calls)
% 11.72/11.88 ; 0.000 0% Ordering (40 calls)
% 11.72/11.88 ; 0.000 0% Sortal reasoning (32 calls)
% 11.72/11.88 ; 0.001 0% Purity testing (1 call)
% 11.72/11.88 ; 0.154 1% Other
% 11.72/11.88 ; 11.416 Total
% 11.72/11.88 ; 11.422 Real time
% 11.72/11.88 ;
% 11.72/11.88 ; Term-hash-array has 11,134 terms in all.
% 11.72/11.88 ; Feature-vector-row-index has 60 entries (127 at peak, 148 added, 88 deleted).
% 11.72/11.88 ; Feature-vector-row-index has 78 nodes (251 at peak, 274 added, 196 deleted).
% 11.72/11.89 ; Retrieved 160 possibly forward subsuming rows in 150 calls.
% 11.72/11.89 ; Retrieved 58 possibly backward subsumed rows in 148 calls.
% 11.72/11.89 ; Path-index has 525 entries (8,751 at peak, 11,171 added, 10,646 deleted).
% 11.72/11.89 ; Path-index has 1,052 nodes (1,627 at peak, 2,145 added, 1,093 deleted).
% 11.72/11.89 ; Trie-index has 525 entries (8,751 at peak, 11,171 added, 10,646 deleted).
% 11.72/11.89 ; Trie-index has 2,045 nodes (22,454 at peak, 28,505 added, 26,460 deleted).
% 11.72/11.89 ; Retrieved 41,895 generalization terms in 37,318 calls.
% 11.72/11.89 ; Retrieved 27,587 instance terms in 7,893 calls.
% 11.72/11.89 ; Retrieved 15,932,483 unifiable terms in 752,502 calls.
% 11.72/11.89 ;
% 11.72/11.89 ; The agenda of backward simplifiable rows to process has 8 entries:
% 11.72/11.89 ; 8 with value 0
% 11.72/11.89 ; The agenda of rows to process has 76 entries:
% 11.72/11.89 ; 15 with value 8 14 with value 12 8 with value 18
% 11.72/11.89 ; 8 with value 9 8 with value 14 4 with value 19
% 11.72/11.89 ; 2 with value 10 12 with value 15 1 with value 21
% 11.72/11.89 ; 4 with value 11
% 11.72/11.89 ; The agenda of input rows to give has 1 entry:
% 11.72/11.89 ; 1 with value 6
% 11.72/11.89 ; The agenda of rows to give has 336 entries:
% 11.72/11.89 ; 8 with value (4 7) 73 with value (4 14) 10 with value (4 19)
% 11.72/11.89 ; 9 with value (4 8) 163 with value (4 15) 7 with value (4 20)
% 11.72/11.89 ; 3 with value (4 11) 5 with value (4 16) 4 with value (4 21)
% 11.72/11.89 ; 4 with value (4 12) 14 with value (4 17) 24 with value (4 22)
% 11.72/11.89 ; 8 with value (4 13) 2 with value (4 18) 2 with value (4 29)
% 11.72/11.89 Evaluation took:
% 11.72/11.89 11.422 seconds of real time
% 11.72/11.89 11.162591 seconds of user run time
% 11.72/11.89 0.258107 seconds of system run time
% 11.72/11.89 [Run times include 0.508 seconds GC run time.]
% 11.72/11.89 0 calls to %EVAL
% 11.72/11.89 0 page faults and
% 11.72/11.89 802,187,224 bytes consed.
% 11.72/11.89 :PROOF-FOUND
% 11.72/11.89 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:17:46
% 11.72/11.89 :PROOF-FOUND
% 11.72/11.89 *
%------------------------------------------------------------------------------