TSTP Solution File: GEO629+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 06:17:03 EDT 2022
% Result : Theorem 19.01s 19.25s
% Output : Refutation 19.01s
% 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 : 9 ( 9 usr; 7 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/sandbox/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/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(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/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(72,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ para(V,W,X1,Y1)
| para(X,Y,Z,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
cnf(104,axiom,
( ~ perp(X,Y,Y,Z)
| ~ cyclic(X,Z,Y,U)
| circle('SKOLEMAAAS16'(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('SKOLEMAAAS17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(123,negated_conjecture,
para('SKOLEMAAAS26','SKOLEMAAAS27','SKOLEMAAAS31','SKOLEMAAAS28'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
cnf(125,negated_conjecture,
~ para('SKOLEMAAAS31','SKOLEMAAAS25','SKOLEMAAAS30','SKOLEMAAAS29'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
cnf(153,plain,
eqangle('SKOLEMAAAS26','SKOLEMAAAS27',X,Y,'SKOLEMAAAS31','SKOLEMAAAS28',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,123]) ).
cnf(2587,plain,
eqangle('SKOLEMAAAS26','SKOLEMAAAS27','SKOLEMAAAS31','SKOLEMAAAS28',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,153]) ).
cnf(3248,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAS26','SKOLEMAAAS27','SKOLEMAAAS31','SKOLEMAAAS28'),
inference('HYPERRESOLVE',[status(thm)],[19,2587]) ).
cnf(5619,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,3248,123]) ).
cnf(5622,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,3248,2587]) ).
cnf(5631,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,5619]) ).
cnf(5635,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,5631,5631]) ).
cnf(10253,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,5635,5635]) ).
cnf(10254,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAS17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,10253]) ).
cnf(10257,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,10253]) ).
cnf(10259,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,10253]) ).
cnf(12302,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[10259,5622]) ).
cnf(12313,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,12302,12302]) ).
cnf(12314,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,12313]) ).
cnf(12315,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAS16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,12313]) ).
cnf(12316,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,12313]) ).
cnf(12317,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,12313]) ).
cnf(12458,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[12317,12316]) ).
cnf(12533,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[12314,12458,12458]) ).
cnf(12538,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,12533]) ).
cnf(12539,plain,
perp('SKOLEMAAAS17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[10254,12533]) ).
cnf(12540,plain,
circle('SKOLEMAAAS16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[12315,12533]) ).
cnf(12545,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[10257,12540,12316]) ).
cnf(12554,plain,
~ perp('SKOLEMAAAS31','SKOLEMAAAS25','SKOLEMAAAS17'(X,Y,Z,'SKOLEMAAAS30','SKOLEMAAAS29'),X),
inference('UR-RESOLVE',[status(thm)],[8,12539,125]) ).
cnf(12644,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[12538,12545]) ).
cnf(12645,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,12644]) ).
cnf(12646,plain,
$false,
inference('REWRITE',[status(thm)],[12554,12645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Sat Jun 18 15:46:02 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 *
% 0.12/0.38 *
% 0.12/0.38 #<PACKAGE "SNARK-USER">
% 0.12/0.38 *
% 0.12/0.38 SNARK-TPTP-OPTIONS
% 0.12/0.38 *
% 0.12/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.38 (USE-FACTORING :POS)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.38 *
% 0.12/0.38 "."
% 0.12/0.38 *
% 0.12/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:46:02
% 0.12/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T15:46:02
% 0.12/0.43
% 0.12/0.43 WARNING: In quantification, variable ?M is being rebound.
% 0.12/0.43 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 19.01/19.25 ; Declaring coll to be commutative.
% 19.01/19.25
% 19.01/19.25 #||
% 19.01/19.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.01/19.25 % SZS output start Refutation
% See solution above
% 19.01/19.26 ||#
% 19.01/19.26
% 19.01/19.26 ; Summary of computation:
% 19.01/19.26 ; 88919 formulas have been input or derived (from 1547 formulas).
% 19.01/19.26 ; 12646 (14%) were retained. Of these,
% 19.01/19.26 ; 10579 (84%) were simplified or subsumed later,
% 19.01/19.26 ; 2067 (16%) are still being kept.
% 19.01/19.26 ;
% 19.01/19.26 ; Run time in seconds excluding printing time:
% 19.01/19.26 ; 0.033 0% Read assertion file (1 call)
% 19.01/19.26 ; 0.005 0% Assert (95 calls)
% 19.01/19.26 ; 0.937 5% Process new row (86,134 calls)
% 19.01/19.26 ; 16.533 88% Resolution (3,092 calls)
% 19.01/19.26 ; 0.010 0% Paramodulation (1,546 calls)
% 19.01/19.26 ; 0.002 0% Condensing (149 calls)
% 19.01/19.26 ; 0.002 0% Forward subsumption (149 calls)
% 19.01/19.26 ; 0.003 0% Backward subsumption (148 calls)
% 19.01/19.26 ; 0.002 0% Clause clause subsumption (174 calls)
% 19.01/19.26 ; 0.365 2% Forward simplification (60,984 calls)
% 19.01/19.26 ; 0.689 4% Backward simplification (12,646 calls)
% 19.01/19.26 ; 0.000 0% Ordering (40 calls)
% 19.01/19.26 ; 0.000 0% Sortal reasoning (32 calls)
% 19.01/19.26 ; 0.000 0% Purity testing (1 call)
% 19.01/19.26 ; 0.284 2% Other
% 19.01/19.26 ; 18.865 Total
% 19.01/19.26 ; 18.872 Real time
% 19.01/19.26 ;
% 19.01/19.26 ; Term-hash-array has 16,770 terms in all.
% 19.01/19.26 ; Feature-vector-row-index has 60 entries (127 at peak, 148 added, 88 deleted).
% 19.08/19.27 ; Feature-vector-row-index has 78 nodes (260 at peak, 283 added, 205 deleted).
% 19.08/19.27 ; Retrieved 156 possibly forward subsuming rows in 149 calls.
% 19.08/19.27 ; Retrieved 56 possibly backward subsumed rows in 148 calls.
% 19.08/19.27 ; Path-index has 2,152 entries (11,806 at peak, 16,810 added, 14,658 deleted).
% 19.08/19.27 ; Path-index has 1,118 nodes (1,521 at peak, 2,285 added, 1,167 deleted).
% 19.08/19.27 ; Trie-index has 2,152 entries (11,806 at peak, 16,810 added, 14,658 deleted).
% 19.08/19.27 ; Trie-index has 7,598 nodes (29,497 at peak, 43,054 added, 35,456 deleted).
% 19.08/19.27 ; Retrieved 76,605 generalization terms in 60,932 calls.
% 19.08/19.27 ; Retrieved 51,769 instance terms in 12,497 calls.
% 19.08/19.27 ; Retrieved 23,285,828 unifiable terms in 1,124,468 calls.
% 19.08/19.27 ;
% 19.08/19.27 ; The agenda of backward simplifiable rows to process has 8 entries:
% 19.08/19.27 ; 8 with value 0
% 19.08/19.27 ; The agenda of rows to process has 168 entries:
% 19.08/19.27 ; 15 with value 8 8 with value 13 28 with value 17
% 19.08/19.27 ; 12 with value 9 10 with value 14 10 with value 18
% 19.08/19.27 ; 6 with value 10 28 with value 15 10 with value 19
% 19.08/19.27 ; 4 with value 11 24 with value 16 1 with value 21
% 19.08/19.27 ; 12 with value 12
% 19.08/19.27 ; The agenda of input rows to give has 1 entry:
% 19.08/19.27 ; 1 with value 6
% 19.08/19.27 ; The agenda of rows to give has 1536 entries:
% 19.08/19.27 ; 8 with value (4 7) 19 with value (4 13) 12 with value (4 18)
% 19.08/19.27 ; 11 with value (4 8) 290 with value (4 14) 25 with value (4 19)
% 19.08/19.27 ; 2 with value (4 10) 1082 with value (4 15) 4 with value (4 20)
% 19.08/19.27 ; 5 with value (4 11) 20 with value (4 16) 2 with value (4 29)
% 19.08/19.27 ; 8 with value (4 12) 48 with value (4 17)
% 19.08/19.27 Evaluation took:
% 19.08/19.27 18.886 seconds of real time
% 19.08/19.27 18.46032 seconds of user run time
% 19.08/19.27 0.421819 seconds of system run time
% 19.08/19.27 [Run times include 0.935 seconds GC run time.]
% 19.08/19.27 0 calls to %EVAL
% 19.08/19.27 0 page faults and
% 19.08/19.27 1,234,204,376 bytes consed.
% 19.08/19.27 :PROOF-FOUND
% 19.08/19.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:46:21
% 19.08/19.27 :PROOF-FOUND
% 19.08/19.27 *
%------------------------------------------------------------------------------