TSTP Solution File: GEO633+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 06:17:04 EDT 2022
% Result : Theorem 69.69s 69.89s
% Output : Refutation 69.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 47 ( 24 unt; 0 nHn; 26 RR)
% Number of literals : 86 ( 0 equ; 41 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 159 ( 28 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(118,negated_conjecture,
perp('SKOLEMAAAV28','SKOLEMAAAV26','SKOLEMAAAV21','SKOLEMAAAV23'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
cnf(120,negated_conjecture,
~ perp('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
cnf(135,plain,
perp('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV28','SKOLEMAAAV26'),
inference('HYPERRESOLVE',[status(thm)],[7,118]) ).
cnf(137,plain,
~ perp('SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV27','SKOLEMAAAV28'),
inference('UR-RESOLVE',[status(thm)],[7,120]) ).
cnf(219,plain,
para('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[8,135,118]) ).
cnf(459,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,219]) ).
cnf(9889,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,459]) ).
cnf(9890,plain,
eqangle(X,Y,'SKOLEMAAAV21','SKOLEMAAAV23',X,Y,'SKOLEMAAAV21','SKOLEMAAAV23'),
inference('HYPERRESOLVE',[status(thm)],[18,459]) ).
cnf(48314,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,9890]) ).
cnf(48323,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,48314]) ).
cnf(49686,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,48323,48323]) ).
cnf(54636,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,49686,49686]) ).
cnf(54640,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,54636]) ).
cnf(54642,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,54636]) ).
cnf(54688,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV23','SKOLEMAAAV21',X),
inference('HYPERRESOLVE',[status(thm)],[54642,9889]) ).
cnf(54771,plain,
cyclic('SKOLEMAAAV23','SKOLEMAAAV21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,54688,54688]) ).
cnf(56197,plain,
cyclic('SKOLEMAAAV21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,54771,54771]) ).
cnf(57735,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,56197,56197]) ).
cnf(57736,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,57735]) ).
cnf(57737,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,57735]) ).
cnf(57738,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,57735]) ).
cnf(57739,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,57735]) ).
cnf(57799,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[57739,57738]) ).
cnf(57924,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[57736,57799,57799]) ).
cnf(57929,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,57924]) ).
cnf(57931,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[57737,57924]) ).
cnf(57955,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[54640,57931,57738]) ).
cnf(58086,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[57929,57955]) ).
cnf(58087,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,58086]) ).
cnf(58088,plain,
$false,
inference('REWRITE',[status(thm)],[137,58087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 02:20:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:20:23
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T02:20:23
% 0.21/0.55
% 0.21/0.55 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.55 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 69.69/69.89 ; Declaring coll to be commutative.
% 69.69/69.89
% 69.69/69.89 #||
% 69.69/69.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.69/69.89 % SZS output start Refutation
% See solution above
% 69.69/69.89 ||#
% 69.69/69.89
% 69.69/69.89 ; Summary of computation:
% 69.69/69.89 ; 213282 formulas have been input or derived (from 1732 formulas).
% 69.69/69.89 ; 58088 (27%) were retained. Of these,
% 69.69/69.89 ; 48427 (83%) were simplified or subsumed later,
% 69.69/69.89 ; 9661 (17%) are still being kept.
% 69.69/69.89 ;
% 69.69/69.89 ; Run time in seconds excluding printing time:
% 69.69/69.89 ; 0.031 0% Read assertion file (1 call)
% 69.69/69.89 ; 0.005 0% Assert (95 calls)
% 69.69/69.89 ; 3.996 6% Process new row (209,021 calls)
% 69.69/69.89 ; 56.464 81% Resolution (3,462 calls)
% 69.69/69.89 ; 0.012 0% Paramodulation (1,731 calls)
% 69.69/69.89 ; 0.003 0% Condensing (604 calls)
% 69.69/69.89 ; 0.017 0% Forward subsumption (604 calls)
% 69.69/69.89 ; 0.015 0% Backward subsumption (524 calls)
% 69.69/69.89 ; 0.005 0% Clause clause subsumption (1,349 calls)
% 69.69/69.89 ; 1.478 2% Forward simplification (173,732 calls)
% 69.69/69.89 ; 6.546 9% Backward simplification (58,088 calls)
% 69.69/69.89 ; 0.001 0% Ordering (792 calls)
% 69.69/69.89 ; 0.001 0% Sortal reasoning (32 calls)
% 69.69/69.89 ; 0.000 0% Purity testing (1 call)
% 69.69/69.89 ; 0.783 1% Other
% 69.69/69.89 ; 69.357 Total
% 69.69/69.89 ; 69.390 Real time
% 69.69/69.90 ;
% 69.69/69.90 ; Term-hash-array has 82,468 terms in all.
% 69.69/69.90 ; Feature-vector-row-index has 182 entries (487 at peak, 524 added, 342 deleted).
% 69.69/69.90 ; Feature-vector-row-index has 482 nodes (1,080 at peak, 1,188 added, 706 deleted).
% 69.69/69.90 ; Retrieved 797 possibly forward subsuming rows in 604 calls.
% 69.69/69.90 ; Retrieved 692 possibly backward subsumed rows in 524 calls.
% 69.69/69.90 ; Path-index has 12,932 entries (68,066 at peak, 82,503 added, 69,571 deleted).
% 69.69/69.90 ; Path-index has 2,458 nodes (3,384 at peak, 3,972 added, 1,514 deleted).
% 69.69/69.90 ; Trie-index has 12,932 entries (68,066 at peak, 82,503 added, 69,571 deleted).
% 69.69/69.90 ; Trie-index has 53,388 nodes (193,876 at peak, 238,604 added, 185,216 deleted).
% 69.69/69.90 ; Retrieved 153,709 generalization terms in 173,794 calls.
% 69.69/69.90 ; Retrieved 300,927 instance terms in 57,563 calls.
% 69.69/69.90 ; Retrieved 80,140,017 unifiable terms in 1,438,290 calls.
% 69.69/69.90 ;
% 69.69/69.90 ; The agenda of backward simplifiable rows to process has 8 entries:
% 69.69/69.90 ; 8 with value 0
% 69.69/69.90 ; The agenda of rows to process has 781 entries:
% 69.69/69.90 ; 27 with value 8 144 with value 15 114 with value 21
% 69.69/69.90 ; 4 with value 11 16 with value 16 160 with value 22
% 69.69/69.90 ; 16 with value 12 28 with value 18 16 with value 23
% 69.69/69.90 ; 66 with value 13 56 with value 19 4 with value 28
% 69.69/69.90 ; 60 with value 14 62 with value 20 8 with value 29
% 69.69/69.90 ; The agenda of input rows to give has 1 entry:
% 69.69/69.90 ; 1 with value 6
% 69.69/69.90 ; The agenda of rows to give has 9298 entries:
% 69.69/69.90 ; 2 with value (4 7) 845 with value (4 18) 211 with value (4 27)
% 69.69/69.90 ; 3 with value (4 8) 779 with value (4 19) 393 with value (4 28)
% 69.69/69.90 ; 3 with value (4 11) 494 with value (4 20) 420 with value (4 29)
% 69.69/69.90 ; 5 with value (4 12) 1246 with value (4 21) 15 with value (4 30)
% 69.69/69.90 ; 12 with value (4 13) 2325 with value (4 22) 8 with value (4 31)
% 69.69/69.90 ; 435 with value (4 14) 47 with value (4 23) 13 with value (4 32)
% 69.69/69.90 ; 738 with value (4 15) 104 with value (4 24) 56 with value (4 33)
% 69.69/69.90 ; 145 with value (4 16) 228 with value (4 25) 108 with value (4 34)
% 69.69/69.90 ; 131 with value (4 17) 290 with value (4 26) 242 with value (4 35)
% 69.69/69.90 Evaluation took:
% 69.71/69.90 69.392 seconds of real time
% 69.71/69.90 67.70232 seconds of user run time
% 69.71/69.90 1.659116 seconds of system run time
% 69.71/69.90 [Run times include 6.747 seconds GC run time.]
% 69.71/69.90 0 calls to %EVAL
% 69.71/69.90 0 page faults and
% 69.71/69.90 2,587,753,960 bytes consed.
% 69.71/69.90 :PROOF-FOUND
% 69.71/69.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:21:32
% 69.71/69.90 :PROOF-FOUND
% 69.71/69.90 *
%------------------------------------------------------------------------------