%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO548+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 06:16:39 EDT 2022
% Result : Theorem 65.17s 65.39s
% Output : Refutation 65.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of clauses : 65 ( 33 unt; 0 nHn; 34 RR)
% Number of literals : 119 ( 0 equ; 58 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 : 244 ( 59 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(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(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(17,axiom,
( ~ eqangle(X,Y,Z,U,V,W,X1,Y1)
| eqangle(Y,X,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(50,axiom,
( ~ circle(X,Y,Z,U)
| ~ midp(V,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(55,axiom,
( ~ midp(X,Y,Z)
| ~ perp(U,X,Y,Z)
| cong(U,Y,U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(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(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('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
cnf(116,negated_conjecture,
perp('SKOLEMAAAU27','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU23'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012008) ).
cnf(125,negated_conjecture,
~ eqangle('SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU21','SKOLEMAAAU28','SKOLEMAAAU30','SKOLEMAAAU31','SKOLEMAAAU31','SKOLEMAAAU27'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012008) ).
cnf(142,plain,
perp('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU27','SKOLEMAAAU25'),
inference('HYPERRESOLVE',[status(thm)],[7,116]) ).
cnf(160,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU21','SKOLEMAAAU28','SKOLEMAAAU30','SKOLEMAAAU31','SKOLEMAAAU31','SKOLEMAAAU27'),
inference('UR-RESOLVE',[status(thm)],[17,125]) ).
cnf(204,plain,
para('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[8,142,116]) ).
cnf(291,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,204]) ).
cnf(1907,plain,
~ eqangle('SKOLEMAAAU21','SKOLEMAAAU28','SKOLEMAAAU21','SKOLEMAAAU25','SKOLEMAAAU31','SKOLEMAAAU27','SKOLEMAAAU30','SKOLEMAAAU31'),
inference('UR-RESOLVE',[status(thm)],[18,160]) ).
cnf(3720,plain,
eqangle('SKOLEMAAAU21','SKOLEMAAAU23','SKOLEMAAAU21','SKOLEMAAAU23',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,291]) ).
cnf(3721,plain,
eqangle(X,Y,'SKOLEMAAAU21','SKOLEMAAAU23',X,Y,'SKOLEMAAAU21','SKOLEMAAAU23'),
inference('HYPERRESOLVE',[status(thm)],[18,291]) ).
cnf(10222,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[38,3721]) ).
cnf(10228,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,10222]) ).
cnf(10235,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,10228,10228]) ).
cnf(22500,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,10235,10235]) ).
cnf(22504,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,22500]) ).
cnf(22506,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,22500]) ).
cnf(22528,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU23','SKOLEMAAAU21',X),
inference('HYPERRESOLVE',[status(thm)],[22506,3720]) ).
cnf(22554,plain,
cyclic('SKOLEMAAAU23','SKOLEMAAAU21',X,Y),
inference('HYPERRESOLVE',[status(thm)],[16,22528,22528]) ).
cnf(22558,plain,
cyclic('SKOLEMAAAU21',X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16,22554,22554]) ).
cnf(22590,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,22558,22558]) ).
cnf(22591,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,22590]) ).
cnf(22592,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,22590]) ).
cnf(22593,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,22590]) ).
cnf(22594,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,22590]) ).
cnf(22606,plain,
~ eqangle(X,'SKOLEMAAAU28',X,'SKOLEMAAAU25','SKOLEMAAAU31','SKOLEMAAAU27','SKOLEMAAAU30','SKOLEMAAAU31'),
inference('UR-RESOLVE',[status(thm)],[21,22593,1907]) ).
cnf(22633,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[22594,22593]) ).
cnf(22680,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[22591,22633,22633]) ).
cnf(22685,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,22680]) ).
cnf(22687,plain,
circle('SKOLEMAAAU16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[22592,22680]) ).
cnf(22691,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[22504,22687,22593]) ).
cnf(22753,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[22685,22691]) ).
cnf(22754,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,22753]) ).
cnf(22756,plain,
( ~ midp(X,Y,Z)
| cong(U,Y,U,Z) ),
inference('REWRITE',[status(thm)],[55,22754]) ).
cnf(22757,plain,
para(X,Y,Z,U),
inference('REWRITE',[status(thm)],[8,22754]) ).
cnf(22758,plain,
( ~ midp(X,Y,Z)
| midp(X,U,V) ),
inference('REWRITE',[status(thm)],[64,22757]) ).
cnf(22760,plain,
eqangle(X,Y,Z,U,V,W,Z,U),
inference('REWRITE',[status(thm)],[39,22757]) ).
cnf(22765,plain,
midp(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[22758,22691]) ).
cnf(22766,plain,
( ~ circle(X,Y,Z,U)
| eqangle(Y,Z,Y,U,X,Z,X,V) ),
inference('REWRITE',[status(thm)],[50,22765]) ).
cnf(22768,plain,
cong(X,Y,X,Z),
inference('REWRITE',[status(thm)],[22756,22765]) ).
cnf(22771,plain,
circle(X,Y,Z,U),
inference('REWRITE',[status(thm)],[11,22768]) ).
cnf(22772,plain,
eqangle(X,Y,X,Z,U,Y,U,V),
inference('REWRITE',[status(thm)],[22766,22771]) ).
cnf(22797,plain,
eqangle(X,Y,X,Z,U,V,W,X1),
inference('HYPERRESOLVE',[status(thm)],[21,22772,22760]) ).
cnf(22798,plain,
$false,
inference('REWRITE',[status(thm)],[22606,22797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO548+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n007.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 01:49:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:49:58
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T01:49:58
% 0.20/0.52
% 0.20/0.52 WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.52 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 65.17/65.39 ; Declaring coll to be commutative.
% 65.17/65.39
% 65.17/65.39 #||
% 65.17/65.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.17/65.39 % SZS output start Refutation
% See solution above
% 65.24/65.41 ||#
% 65.24/65.41
% 65.24/65.41 ; Summary of computation:
% 65.24/65.41 ; 162222 formulas have been input or derived (from 1507 formulas).
% 65.24/65.41 ; 22798 (14%) were retained. Of these,
% 65.24/65.41 ; 22696 (100%) were simplified or subsumed later,
% 65.24/65.41 ; 102 ( 0%) are still being kept.
% 65.24/65.41 ;
% 65.24/65.41 ; Run time in seconds excluding printing time:
% 65.24/65.41 ; 0.031 0% Read assertion file (1 call)
% 65.24/65.41 ; 0.006 0% Assert (95 calls)
% 65.24/65.41 ; 1.485 2% Process new row (160,193 calls)
% 65.24/65.41 ; 60.347 93% Resolution (3,012 calls)
% 65.24/65.41 ; 0.004 0% Paramodulation (1,506 calls)
% 65.24/65.41 ; 0.002 0% Condensing (163 calls)
% 65.24/65.41 ; 0.002 0% Forward subsumption (163 calls)
% 65.24/65.41 ; 0.003 0% Backward subsumption (162 calls)
% 65.24/65.41 ; 0.002 0% Clause clause subsumption (194 calls)
% 65.24/65.41 ; 0.526 1% Forward simplification (101,494 calls)
% 65.24/65.41 ; 2.048 3% Backward simplification (22,798 calls)
% 65.24/65.41 ; 0.000 0% Ordering (52 calls)
% 65.24/65.41 ; 0.000 0% Sortal reasoning (32 calls)
% 65.24/65.41 ; 0.000 0% Purity testing (1 call)
% 65.24/65.41 ; 0.459 1% Other
% 65.24/65.41 ; 64.915 Total
% 65.24/65.41 ; 64.934 Real time
% 65.24/65.41 ;
% 65.24/65.41 ; Term-hash-array has 32,401 terms in all.
% 65.24/65.41 ; Feature-vector-row-index has 26 entries (131 at peak, 162 added, 136 deleted).
% 65.24/65.41 ; Feature-vector-row-index has 26 nodes (275 at peak, 311 added, 285 deleted).
% 65.24/65.41 ; Retrieved 163 possibly forward subsuming rows in 163 calls.
% 65.24/65.41 ; Retrieved 69 possibly backward subsumed rows in 162 calls.
% 65.24/65.41 ; Path-index has 120 entries (28,080 at peak, 32,448 added, 32,328 deleted).
% 65.24/65.41 ; Path-index has 663 nodes (1,750 at peak, 2,264 added, 1,601 deleted).
% 65.24/65.41 ; Trie-index has 120 entries (28,080 at peak, 32,448 added, 32,328 deleted).
% 65.24/65.41 ; Trie-index has 353 nodes (64,773 at peak, 74,959 added, 74,606 deleted).
% 65.24/65.41 ; Retrieved 125,465 generalization terms in 101,488 calls.
% 65.24/65.41 ; Retrieved 72,378 instance terms in 22,635 calls.
% 65.24/65.41 ; Retrieved 74,242,321 unifiable terms in 3,521,991 calls.
% 65.24/65.41 ;
% 65.24/65.41 ; The agenda of backward simplifiable rows to process has 1 entry:
% 65.24/65.41 ; 1 with value 0
% 65.24/65.41 ; The agenda of rows to process has 15 entries:
% 65.24/65.41 ; 15 with value 11
% 65.24/65.41 ; The agenda of input rows to give has 1 entry:
% 65.24/65.41 ; 1 with value 10
% 65.24/65.41 ; The agenda of rows to give has 55 entries:
% 65.24/65.41 ; 3 with value (4 7) 3 with value (4 12) 31 with value (4 14)
% 65.24/65.41 ; 1 with value (4 8) 4 with value (4 13) 4 with value (4 15)
% 65.24/65.41 ; 9 with value (4 11)
% 65.24/65.41 Evaluation took:
% 65.24/65.41 64.935 seconds of real time
% 65.24/65.41 64.07202 seconds of user run time
% 65.24/65.41 0.865151 seconds of system run time
% 65.24/65.41 [Run times include 2.898 seconds GC run time.]
% 65.24/65.41 0 calls to %EVAL
% 65.24/65.41 0 page faults and
% 65.24/65.41 3,631,870,864 bytes consed.
% 65.24/65.41 :PROOF-FOUND
% 65.24/65.41 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T01:51:03
% 65.24/65.41 :PROOF-FOUND
% 65.24/65.41 *
%------------------------------------------------------------------------------