%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 30.43s 30.63s
% Output : Refutation 30.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of clauses : 56 ( 31 unt; 0 nHn; 48 RR)
% Number of literals : 94 ( 0 equ; 43 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 132 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(X,Y,Z)
| coll(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(3,axiom,
( ~ para(X,Y,Z,U)
| para(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
cnf(4,axiom,
( ~ para(X,Y,Z,U)
| para(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
cnf(6,axiom,
( ~ perp(X,Y,Z,U)
| perp(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(10,axiom,
( ~ midp(X,Y,Z)
| midp(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
cnf(11,axiom,
( ~ cong(X,Y,X,Z)
| ~ cong(X,Y,X,U)
| circle(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
cnf(19,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(V,W,X1,Y1,X,Y,Z,U) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
cnf(22,axiom,
( ~ cong(X,Y,Z,U)
| cong(X,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
cnf(23,axiom,
( ~ cong(X,Y,Z,U)
| cong(Z,U,X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
cnf(24,axiom,
( ~ cong(X,Y,Z,U)
| ~ cong(Z,U,V,W)
| cong(X,Y,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(44,axiom,
( ~ midp(X,Y,Z)
| ~ midp(U,Y,V)
| para(X,U,Z,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(53,axiom,
( ~ circle(X,Y,Z,U)
| ~ coll(X,Y,U)
| perp(Y,Z,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(64,axiom,
( ~ midp(X,Y,Z)
| ~ para(Y,U,Z,V)
| ~ para(Y,V,Z,U)
| midp(X,U,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
cnf(67,axiom,
( ~ cong(X,Y,X,Z)
| ~ coll(X,Y,Z)
| midp(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
cnf(68,axiom,
( ~ midp(X,Y,Z)
| cong(X,Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
cnf(69,axiom,
( ~ midp(X,Y,Z)
| coll(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
cnf(73,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| ~ perp(V,W,X1,Y1)
| perp(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
cnf(112,negated_conjecture,
midp('SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110995) ).
cnf(120,negated_conjecture,
~ para('SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU27','SKOLEMAAAU28'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110995) ).
cnf(127,plain,
midp('SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[10,112]) ).
cnf(128,plain,
coll('SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[69,112]) ).
cnf(129,plain,
cong('SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU24','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[68,112]) ).
cnf(131,plain,
~ para('SKOLEMAAAU27','SKOLEMAAAU28','SKOLEMAAAU22','SKOLEMAAAU23'),
inference('UR-RESOLVE',[status(thm)],[4,120]) ).
cnf(139,plain,
para('SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[44,112,112]) ).
cnf(165,plain,
cong('SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[68,127]) ).
cnf(183,plain,
coll('SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[2,128,128]) ).
cnf(192,plain,
circle('SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[11,129,129]) ).
cnf(193,plain,
cong('SKOLEMAAAU24','SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[22,129]) ).
cnf(197,plain,
~ para('SKOLEMAAAU27','SKOLEMAAAU28','SKOLEMAAAU23','SKOLEMAAAU22'),
inference('UR-RESOLVE',[status(thm)],[3,131]) ).
cnf(201,plain,
eqangle('SKOLEMAAAU24','SKOLEMAAAU24',X,Y,'SKOLEMAAAU22','SKOLEMAAAU22',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,139]) ).
cnf(233,plain,
coll('SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[2,183,183]) ).
cnf(261,plain,
cong('SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[24,165,129]) ).
cnf(345,plain,
perp('SKOLEMAAAU23','SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[53,192,128]) ).
cnf(347,plain,
cong('SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[23,193]) ).
cnf(458,plain,
coll('SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[1,233]) ).
cnf(547,plain,
perp('SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[56,261,261]) ).
cnf(748,plain,
perp('SKOLEMAAAU22','SKOLEMAAAU22','SKOLEMAAAU23','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[7,345]) ).
cnf(783,plain,
cong('SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[24,347,193]) ).
cnf(1271,plain,
~ perp('SKOLEMAAAU27','SKOLEMAAAU28','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('UR-RESOLVE',[status(thm)],[8,748,197]) ).
cnf(1303,plain,
midp('SKOLEMAAAU22','SKOLEMAAAU24','SKOLEMAAAU24'),
inference('HYPERRESOLVE',[status(thm)],[67,783,458]) ).
cnf(3649,plain,
~ cong('SKOLEMAAAU27','SKOLEMAAAU22','SKOLEMAAAU28','SKOLEMAAAU22'),
inference('UR-RESOLVE',[status(thm)],[56,1271]) ).
cnf(4524,plain,
eqangle('SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU22',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,201]) ).
cnf(8134,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAU24','SKOLEMAAAU24','SKOLEMAAAU22','SKOLEMAAAU22'),
inference('HYPERRESOLVE',[status(thm)],[19,4524]) ).
cnf(49133,plain,
perp(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[73,8134,547]) ).
cnf(49134,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,8134,139]) ).
cnf(49139,plain,
perp(X,Y,Y,X),
inference('HYPERRESOLVE',[status(thm)],[6,49133]) ).
cnf(49782,plain,
midp('SKOLEMAAAU22',X,X),
inference('HYPERRESOLVE',[status(thm)],[64,49134,1303,49134]) ).
cnf(49808,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[52,49782,3649]),49139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO632+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Fri Jun 17 20:39:47 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:39:47
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T20:39:47
% 0.18/0.49
% 0.18/0.49 WARNING: In quantification, variable ?M is being rebound.
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 30.43/30.63 ; Declaring coll to be commutative.
% 30.43/30.63
% 30.43/30.63 #||
% 30.43/30.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.43/30.63 % SZS output start Refutation
% See solution above
% 30.43/30.66 ||#
% 30.43/30.66
% 30.43/30.66 ; Summary of computation:
% 30.43/30.66 ; 143303 formulas have been input or derived (from 1337 formulas).
% 30.43/30.66 ; 49808 (35%) were retained. Of these,
% 30.43/30.66 ; 4463 ( 9%) were simplified or subsumed later,
% 30.43/30.66 ; 45345 (91%) are still being kept.
% 30.43/30.66 ;
% 30.43/30.66 ; Run time in seconds excluding printing time:
% 30.43/30.66 ; 0.031 0% Read assertion file (1 call)
% 30.43/30.66 ; 0.005 0% Assert (95 calls)
% 30.43/30.66 ; 3.172 11% Process new row (139,763 calls)
% 30.43/30.66 ; 24.396 81% Resolution (2,672 calls)
% 30.43/30.66 ; 0.010 0% Paramodulation (1,336 calls)
% 30.43/30.66 ; 0.002 0% Condensing (436 calls)
% 30.43/30.66 ; 0.012 0% Forward subsumption (436 calls)
% 30.43/30.66 ; 0.009 0% Backward subsumption (435 calls)
% 30.43/30.66 ; 0.003 0% Clause clause subsumption (906 calls)
% 30.43/30.66 ; 0.742 2% Forward simplification (126,538 calls)
% 30.43/30.66 ; 1.365 5% Backward simplification (49,808 calls)
% 30.43/30.66 ; 0.001 0% Ordering (652 calls)
% 30.43/30.66 ; 0.000 0% Sortal reasoning (32 calls)
% 30.43/30.66 ; 0.001 0% Purity testing (1 call)
% 30.43/30.66 ; 0.430 1% Other
% 30.43/30.66 ; 30.179 Total
% 30.43/30.66 ; 30.212 Real time
% 30.43/30.66 ;
% 30.43/30.66 ; Term-hash-array has 68,427 terms in all.
% 30.43/30.66 ; Feature-vector-row-index has 338 entries (435 at peak, 435 added, 97 deleted).
% 30.43/30.66 ; Feature-vector-row-index has 717 nodes (864 at peak, 864 added, 147 deleted).
% 30.43/30.66 ; Retrieved 508 possibly forward subsuming rows in 436 calls.
% 30.43/30.66 ; Retrieved 432 possibly backward subsumed rows in 435 calls.
% 30.43/30.66 ; Path-index has 63,882 entries (67,538 at peak, 68,437 added, 4,555 deleted).
% 30.43/30.66 ; Path-index has 3,525 nodes (3,576 at peak, 3,580 added, 55 deleted).
% 30.43/30.66 ; Trie-index has 63,882 entries (67,538 at peak, 68,437 added, 4,555 deleted).
% 30.43/30.66 ; Trie-index has 188,055 nodes (196,592 at peak, 198,224 added, 10,169 deleted).
% 30.43/30.66 ; Retrieved 82,178 generalization terms in 126,479 calls.
% 30.43/30.66 ; Retrieved 106,489 instance terms in 49,372 calls.
% 30.43/30.66 ; Retrieved 32,706,410 unifiable terms in 712,617 calls.
% 30.43/30.66 ;
% 30.43/30.66 ; The agenda of rows to process has 1552 entries:
% 30.43/30.66 ; 4 with value 13 228 with value 21 1 with value 32
% 30.43/30.66 ; 36 with value 14 476 with value 22 16 with value 33
% 30.43/30.66 ; 108 with value 15 12 with value 24 4 with value 34
% 30.43/30.66 ; 42 with value 17 12 with value 26 1 with value 35
% 30.43/30.66 ; 48 with value 18 48 with value 27 4 with value 36
% 30.43/30.66 ; 214 with value 19 10 with value 29 1 with value 38
% 30.43/30.66 ; 282 with value 20 4 with value 30 1 with value 39
% 30.43/30.66 ; The agenda of rows to give has 44188 entries:
% 30.43/30.66 ; 3 with value (4 11) 8943 with value (4 20) 708 with value (4 29)
% 30.43/30.66 ; 8 with value (4 12) 7496 with value (4 21) 61 with value (4 30)
% 30.43/30.66 ; 10 with value (4 13) 7802 with value (4 22) 50 with value (4 31)
% 30.43/30.66 ; 712 with value (4 14) 266 with value (4 23) 44 with value (4 32)
% 30.43/30.66 ; 738 with value (4 15) 281 with value (4 24) 128 with value (4 33)
% 30.43/30.66 ; 722 with value (4 16) 412 with value (4 25) 127 with value (4 34)
% 30.43/30.66 ; 1660 with value (4 17) 518 with value (4 26) 347 with value (4 35)
% 30.43/30.66 ; 6611 with value (4 18) 382 with value (4 27) 1 with value (4 36)
% 30.43/30.66 ; 5563 with value (4 19) 594 with value (4 28) 1 with value (4 43)
% 30.43/30.66 Evaluation took:
% 30.43/30.66 30.214 seconds of real time
% 30.43/30.66 29.298532 seconds of user run time
% 30.43/30.66 0.913176 seconds of system run time
% 30.43/30.66 [Run times include 2.842 seconds GC run time.]
% 30.43/30.66 0 calls to %EVAL
% 30.43/30.66 0 page faults and
% 30.43/30.66 1,187,153,360 bytes consed.
% 30.43/30.66 :PROOF-FOUND
% 30.43/30.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:40:17
% 30.43/30.66 :PROOF-FOUND
% 30.43/30.66 *
%------------------------------------------------------------------------------