%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO645+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 06:17:08 EDT 2022
% Result : Theorem 12.46s 12.64s
% Output : Refutation 12.46s
% 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/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(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(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,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0091) ).
cnf(119,negated_conjecture,
~ para('SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV25','SKOLEMAAAV26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0091) ).
cnf(128,plain,
perp('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[7,112]) ).
cnf(173,plain,
para('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[8,128,112]) ).
cnf(245,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,173]) ).
cnf(2515,plain,
eqangle('SKOLEMAAAV23','SKOLEMAAAV22','SKOLEMAAAV23','SKOLEMAAAV22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,245]) ).
cnf(2516,plain,
eqangle(X,Y,'SKOLEMAAAV23','SKOLEMAAAV22',X,Y,'SKOLEMAAAV23','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[18,245]) ).
cnf(7229,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,2516]) ).
cnf(7235,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,7229]) ).
cnf(7241,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,7235,7235]) ).
cnf(8918,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,7241,7241]) ).
cnf(8919,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,8918]) ).
cnf(8922,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,8918]) ).
cnf(8924,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,8918]) ).
cnf(8930,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV22','SKOLEMAAAV23',X),
inference('HYPERRESOLVE',[status(thm)],[8924,2515]) ).
cnf(8960,plain,
cyclic('SKOLEMAAAV22','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,8930,8930]) ).
cnf(8965,plain,
cyclic('SKOLEMAAAV23',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,8960,8960]) ).
cnf(9161,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,8965,8965]) ).
cnf(9162,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,9161]) ).
cnf(9163,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,9161]) ).
cnf(9164,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,9161]) ).
cnf(9165,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,9161]) ).
cnf(9222,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[9165,9164]) ).
cnf(9270,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[9162,9222,9222]) ).
cnf(9275,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,9270]) ).
cnf(9276,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[8919,9270]) ).
cnf(9277,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[9163,9270]) ).
cnf(9281,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[8922,9277,9164]) ).
cnf(9286,plain,
~ perp('SKOLEMAAAV23','SKOLEMAAAV24','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV25','SKOLEMAAAV26'),X),
inference('UR-RESOLVE',[status(thm)],[8,9276,119]) ).
cnf(9345,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[9275,9281]) ).
cnf(9346,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,9345]) ).
cnf(9347,plain,
$false,
inference('REWRITE',[status(thm)],[9286,9346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO645+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 23:37:49 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:37:49
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-17T23:37:49
% 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)).
% 12.46/12.64 ; Declaring coll to be commutative.
% 12.46/12.64
% 12.46/12.64 #||
% 12.46/12.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.46/12.64 % SZS output start Refutation
% See solution above
% 12.46/12.65 ||#
% 12.46/12.65
% 12.46/12.65 ; Summary of computation:
% 12.46/12.65 ; 55071 formulas have been input or derived (from 761 formulas).
% 12.46/12.65 ; 9347 (17%) were retained. Of these,
% 12.46/12.65 ; 8810 (94%) were simplified or subsumed later,
% 12.46/12.65 ; 537 ( 6%) are still being kept.
% 12.46/12.65 ;
% 12.46/12.65 ; Run time in seconds excluding printing time:
% 12.46/12.65 ; 0.031 0% Read assertion file (1 call)
% 12.46/12.65 ; 0.004 0% Assert (95 calls)
% 12.46/12.65 ; 0.662 5% Process new row (53,534 calls)
% 12.46/12.65 ; 10.486 86% Resolution (1,520 calls)
% 12.46/12.65 ; 0.007 0% Paramodulation (760 calls)
% 12.46/12.65 ; 0.003 0% Condensing (152 calls)
% 12.46/12.65 ; 0.004 0% Forward subsumption (152 calls)
% 12.46/12.65 ; 0.005 0% Backward subsumption (151 calls)
% 12.46/12.65 ; 0.000 0% Clause clause subsumption (179 calls)
% 12.46/12.65 ; 0.209 2% Forward simplification (38,529 calls)
% 12.46/12.65 ; 0.610 5% Backward simplification (9,347 calls)
% 12.46/12.65 ; 0.000 0% Ordering (46 calls)
% 12.46/12.65 ; 0.001 0% Sortal reasoning (32 calls)
% 12.46/12.65 ; 0.001 0% Purity testing (1 call)
% 12.46/12.65 ; 0.153 1% Other
% 12.46/12.65 ; 12.176 Total
% 12.46/12.65 ; 12.179 Real time
% 12.46/12.65 ;
% 12.46/12.65 ; Term-hash-array has 12,998 terms in all.
% 12.46/12.65 ; Feature-vector-row-index has 60 entries (127 at peak, 151 added, 91 deleted).
% 12.46/12.65 ; Feature-vector-row-index has 78 nodes (249 at peak, 309 added, 231 deleted).
% 12.46/12.65 ; Retrieved 159 possibly forward subsuming rows in 152 calls.
% 12.46/12.65 ; Retrieved 58 possibly backward subsumed rows in 151 calls.
% 12.46/12.65 ; Path-index has 685 entries (9,851 at peak, 13,072 added, 12,387 deleted).
% 12.46/12.65 ; Path-index has 1,779 nodes (3,494 at peak, 4,122 added, 2,343 deleted).
% 12.46/12.65 ; Trie-index has 685 entries (9,851 at peak, 13,072 added, 12,387 deleted).
% 12.46/12.65 ; Trie-index has 2,698 nodes (41,791 at peak, 56,026 added, 53,328 deleted).
% 12.46/12.65 ; Retrieved 37,632 generalization terms in 38,495 calls.
% 12.46/12.65 ; Retrieved 37,658 instance terms in 9,195 calls.
% 12.46/12.65 ; Retrieved 16,258,044 unifiable terms in 609,651 calls.
% 12.46/12.65 ;
% 12.46/12.65 ; The agenda of backward simplifiable rows to process has 8 entries:
% 12.46/12.65 ; 8 with value 0
% 12.46/12.65 ; The agenda of rows to process has 84 entries:
% 12.46/12.65 ; 19 with value 8 14 with value 12 8 with value 18
% 12.46/12.65 ; 12 with value 9 8 with value 14 4 with value 19
% 12.46/12.65 ; 2 with value 10 12 with value 15 1 with value 21
% 12.46/12.65 ; 4 with value 11
% 12.46/12.65 ; The agenda of input rows to give has 1 entry:
% 12.46/12.65 ; 1 with value 6
% 12.46/12.65 ; The agenda of rows to give has 430 entries:
% 12.46/12.65 ; 8 with value (4 7) 120 with value (4 14) 12 with value (4 19)
% 12.46/12.65 ; 10 with value (4 8) 181 with value (4 15) 21 with value (4 20)
% 12.46/12.65 ; 1 with value (4 9) 18 with value (4 16) 16 with value (4 21)
% 12.46/12.65 ; 3 with value (4 11) 14 with value (4 17) 8 with value (4 22)
% 12.46/12.65 ; 5 with value (4 12) 2 with value (4 18) 2 with value (4 29)
% 12.46/12.65 ; 9 with value (4 13)
% 12.46/12.65 Evaluation took:
% 12.46/12.65 12.18 seconds of real time
% 12.46/12.65 11.851179 seconds of user run time
% 12.46/12.65 0.329095 seconds of system run time
% 12.46/12.65 [Run times include 0.804 seconds GC run time.]
% 12.46/12.65 0 calls to %EVAL
% 12.46/12.65 0 page faults and
% 12.46/12.65 761,504,888 bytes consed.
% 12.46/12.65 :PROOF-FOUND
% 12.46/12.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T23:38:01
% 12.46/12.65 :PROOF-FOUND
% 12.46/12.65 *
%------------------------------------------------------------------------------