%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 70.09s 70.31s
% Output : Refutation 70.09s
% 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 : 8 ( 8 usr; 7 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/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('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(116,negated_conjecture,
perp('SKOLEMAAAW27','SKOLEMAAAW26','SKOLEMAAAW21','SKOLEMAAAW23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110993) ).
cnf(124,negated_conjecture,
~ perp('SKOLEMAAAW29','SKOLEMAAAW30','SKOLEMAAAW28','SKOLEMAAAW27'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110993) ).
cnf(140,plain,
perp('SKOLEMAAAW21','SKOLEMAAAW23','SKOLEMAAAW27','SKOLEMAAAW26'),
inference('HYPERRESOLVE',[status(thm)],[7,116]) ).
cnf(144,plain,
~ perp('SKOLEMAAAW28','SKOLEMAAAW27','SKOLEMAAAW29','SKOLEMAAAW30'),
inference('UR-RESOLVE',[status(thm)],[7,124]) ).
cnf(207,plain,
para('SKOLEMAAAW21','SKOLEMAAAW23','SKOLEMAAAW21','SKOLEMAAAW23'),
inference('HYPERRESOLVE',[status(thm)],[8,140,116]) ).
cnf(319,plain,
eqangle('SKOLEMAAAW21','SKOLEMAAAW23',X,Y,'SKOLEMAAAW21','SKOLEMAAAW23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,207]) ).
cnf(7287,plain,
eqangle('SKOLEMAAAW21','SKOLEMAAAW23','SKOLEMAAAW21','SKOLEMAAAW23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,319]) ).
cnf(7288,plain,
eqangle(X,Y,'SKOLEMAAAW21','SKOLEMAAAW23',X,Y,'SKOLEMAAAW21','SKOLEMAAAW23'),
inference('HYPERRESOLVE',[status(thm)],[18,319]) ).
cnf(13536,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,7288]) ).
cnf(13542,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,13536]) ).
cnf(13549,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,13542,13542]) ).
cnf(23566,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,13549,13549]) ).
cnf(23570,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,23566]) ).
cnf(23572,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,23566]) ).
cnf(23594,plain,
cyclic('SKOLEMAAAW23','SKOLEMAAAW23','SKOLEMAAAW21',X),
inference('HYPERRESOLVE',[status(thm)],[23572,7287]) ).
cnf(23684,plain,
cyclic('SKOLEMAAAW23','SKOLEMAAAW21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,23594,23594]) ).
cnf(23700,plain,
cyclic('SKOLEMAAAW21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,23684,23684]) ).
cnf(23860,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,23700,23700]) ).
cnf(23861,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,23860]) ).
cnf(23862,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,23860]) ).
cnf(23863,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,23860]) ).
cnf(23864,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,23860]) ).
cnf(23914,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[23864,23863]) ).
cnf(23981,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[23861,23914,23914]) ).
cnf(23986,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,23981]) ).
cnf(23988,plain,
circle('SKOLEMAAAW16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[23862,23981]) ).
cnf(23992,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[23570,23988,23863]) ).
cnf(24070,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[23986,23992]) ).
cnf(24071,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,24070]) ).
cnf(24072,plain,
$false,
inference('REWRITE',[status(thm)],[144,24071]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO630+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 17:00:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:00:28
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-18T17:00:28
% 0.21/0.52
% 0.21/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.21/0.53 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 70.09/70.31 ; Declaring coll to be commutative.
% 70.09/70.31
% 70.09/70.31 #||
% 70.09/70.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.09/70.31 % SZS output start Refutation
% See solution above
% 70.09/70.32 ||#
% 70.09/70.32
% 70.09/70.32 ; Summary of computation:
% 70.09/70.32 ; 157712 formulas have been input or derived (from 1642 formulas).
% 70.09/70.32 ; 24072 (15%) were retained. Of these,
% 70.09/70.32 ; 22600 (94%) were simplified or subsumed later,
% 70.09/70.32 ; 1472 ( 6%) are still being kept.
% 70.09/70.32 ;
% 70.09/70.32 ; Run time in seconds excluding printing time:
% 70.09/70.32 ; 0.032 0% Read assertion file (1 call)
% 70.09/70.32 ; 0.006 0% Assert (95 calls)
% 70.09/70.32 ; 1.448 2% Process new row (155,885 calls)
% 70.09/70.32 ; 65.062 93% Resolution (3,282 calls)
% 70.09/70.32 ; 0.012 0% Paramodulation (1,641 calls)
% 70.09/70.32 ; 0.007 0% Condensing (153 calls)
% 70.09/70.32 ; 0.002 0% Forward subsumption (153 calls)
% 70.09/70.32 ; 0.004 0% Backward subsumption (152 calls)
% 70.09/70.32 ; 0.001 0% Clause clause subsumption (179 calls)
% 70.09/70.32 ; 0.522 1% Forward simplification (100,749 calls)
% 70.09/70.32 ; 2.333 3% Backward simplification (24,072 calls)
% 70.09/70.32 ; 0.000 0% Ordering (48 calls)
% 70.09/70.32 ; 0.001 0% Sortal reasoning (32 calls)
% 70.09/70.32 ; 0.000 0% Purity testing (1 call)
% 70.09/70.32 ; 0.410 1% Other
% 70.09/70.32 ; 69.840 Total
% 70.09/70.32 ; 69.839 Real time
% 70.09/70.32 ;
% 70.09/70.32 ; Term-hash-array has 34,175 terms in all.
% 70.09/70.32 ; Feature-vector-row-index has 60 entries (131 at peak, 152 added, 92 deleted).
% 70.09/70.32 ; Feature-vector-row-index has 78 nodes (275 at peak, 298 added, 220 deleted).
% 70.09/70.32 ; Retrieved 159 possibly forward subsuming rows in 153 calls.
% 70.09/70.32 ; Retrieved 58 possibly backward subsumed rows in 152 calls.
% 70.09/70.32 ; Path-index has 1,561 entries (28,617 at peak, 34,214 added, 32,653 deleted).
% 70.09/70.32 ; Path-index has 1,113 nodes (1,721 at peak, 2,232 added, 1,119 deleted).
% 70.09/70.32 ; Trie-index has 1,561 entries (28,617 at peak, 34,214 added, 32,653 deleted).
% 70.09/70.32 ; Trie-index has 5,588 nodes (67,445 at peak, 80,786 added, 75,198 deleted).
% 70.09/70.32 ; Retrieved 115,841 generalization terms in 100,710 calls.
% 70.09/70.32 ; Retrieved 88,653 instance terms in 23,919 calls.
% 70.09/70.32 ; Retrieved 79,481,379 unifiable terms in 3,092,684 calls.
% 70.09/70.32 ;
% 70.09/70.32 ; The agenda of backward simplifiable rows to process has 8 entries:
% 70.09/70.32 ; 8 with value 0
% 70.09/70.32 ; The agenda of rows to process has 98 entries:
% 70.09/70.32 ; 11 with value 8 8 with value 14 8 with value 18
% 70.09/70.32 ; 4 with value 9 20 with value 15 4 with value 19
% 70.09/70.32 ; 4 with value 11 8 with value 16 1 with value 21
% 70.09/70.32 ; 14 with value 12 16 with value 17
% 70.09/70.32 ; The agenda of input rows to give has 1 entry:
% 70.09/70.32 ; 1 with value 6
% 70.09/70.32 ; The agenda of rows to give has 1015 entries:
% 70.09/70.32 ; 2 with value (4 7) 343 with value (4 14) 26 with value (4 19)
% 70.09/70.32 ; 9 with value (4 8) 437 with value (4 15) 18 with value (4 20)
% 70.09/70.32 ; 3 with value (4 11) 11 with value (4 16) 1 with value (4 21)
% 70.09/70.32 ; 8 with value (4 12) 19 with value (4 17) 10 with value (4 22)
% 70.09/70.32 ; 14 with value (4 13) 112 with value (4 18) 2 with value (4 29)
% 70.09/70.32 Evaluation took:
% 70.09/70.32 69.841 seconds of real time
% 70.09/70.32 68.93357 seconds of user run time
% 70.09/70.32 0.911046 seconds of system run time
% 70.09/70.32 [Run times include 3.149 seconds GC run time.]
% 70.09/70.32 0 calls to %EVAL
% 70.09/70.32 0 page faults and
% 70.09/70.32 3,472,597,800 bytes consed.
% 70.09/70.32 :PROOF-FOUND
% 70.09/70.32 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:01:38
% 70.09/70.32 :PROOF-FOUND
% 70.09/70.32 *
%------------------------------------------------------------------------------