%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:17:10 EDT 2022
% Result : Theorem 22.85s 23.06s
% Output : Refutation 22.85s
% 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('SKOLEMAAAV16'(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('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
cnf(115,negated_conjecture,
para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV25'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0227) ).
cnf(121,negated_conjecture,
~ para('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV21','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0227) ).
cnf(155,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24',X,Y,'SKOLEMAAAV26','SKOLEMAAAV25',X,Y),
inference('HYPERRESOLVE',[status(thm)],[39,115]) ).
cnf(7809,plain,
eqangle('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV25',X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[20,155]) ).
cnf(7897,plain,
eqangle(X,Y,X,Y,'SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV26','SKOLEMAAAV25'),
inference('HYPERRESOLVE',[status(thm)],[19,7809]) ).
cnf(9225,plain,
para(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[72,7897,115]) ).
cnf(9226,plain,
eqangle(X,Y,X,Y,Z,U,Z,U),
inference('HYPERRESOLVE',[status(thm)],[21,7897,7809]) ).
cnf(9237,plain,
coll(X,Y,Y),
inference('HYPERRESOLVE',[status(thm)],[66,9225]) ).
cnf(9243,plain,
coll(X,X,Y),
inference('HYPERRESOLVE',[status(thm)],[2,9237,9237]) ).
cnf(13633,plain,
coll(X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[2,9243,9243]) ).
cnf(13634,plain,
( ~ perp(X,Y,Y,Z)
| perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V) ),
inference('REWRITE',[status(thm)],[106,13633]) ).
cnf(13637,plain,
( ~ circle(X,Y,Z,U)
| ~ eqangle(Y,Z,Y,U,X,Z,X,V)
| midp(V,Z,U) ),
inference('REWRITE',[status(thm)],[51,13633]) ).
cnf(13639,plain,
( ~ eqangle(X,Y,X,Z,U,Y,U,Z)
| cyclic(Y,Z,X,U) ),
inference('REWRITE',[status(thm)],[42,13633]) ).
cnf(16384,plain,
cyclic(X,X,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[13639,9226]) ).
cnf(16389,plain,
cyclic(X,Y,Z,U),
inference('HYPERRESOLVE',[status(thm)],[16,16384,16384]) ).
cnf(16390,plain,
( ~ cong(X,Y,Z,Y)
| ~ cong(X,U,Z,U)
| perp(Y,X,X,U) ),
inference('REWRITE',[status(thm)],[57,16389]) ).
cnf(16391,plain,
( ~ perp(X,Y,Y,Z)
| circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y) ),
inference('REWRITE',[status(thm)],[104,16389]) ).
cnf(16392,plain,
eqangle(X,Y,X,Z,U,Y,U,Z),
inference('REWRITE',[status(thm)],[40,16389]) ).
cnf(16393,plain,
( ~ eqangle(X,Y,X,Z,U,V,U,W)
| cong(Y,Z,V,W) ),
inference('REWRITE',[status(thm)],[43,16389]) ).
cnf(16618,plain,
cong(X,Y,X,Y),
inference('HYPERRESOLVE',[status(thm)],[16393,16392]) ).
cnf(16641,plain,
perp(X,Y,Y,Z),
inference('HYPERRESOLVE',[status(thm)],[16390,16618,16618]) ).
cnf(16646,plain,
( ~ midp(X,Y,Z)
| cong(Y,X,U,X) ),
inference('REWRITE',[status(thm)],[52,16641]) ).
cnf(16647,plain,
perp('SKOLEMAAAV17'(X,Y,Z,U,V),X,U,V),
inference('REWRITE',[status(thm)],[13634,16641]) ).
cnf(16648,plain,
circle('SKOLEMAAAV16'(X,Y,Z,U),X,Z,Y),
inference('REWRITE',[status(thm)],[16391,16641]) ).
cnf(16655,plain,
midp(X,Y,X),
inference('HYPERRESOLVE',[status(thm)],[13637,16648,16392]) ).
cnf(16660,plain,
~ perp('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV17'(X,Y,Z,'SKOLEMAAAV21','SKOLEMAAAV22'),X),
inference('UR-RESOLVE',[status(thm)],[8,16647,121]) ).
cnf(16716,plain,
cong(X,Y,Z,Y),
inference('HYPERRESOLVE',[status(thm)],[16646,16655]) ).
cnf(16717,plain,
perp(X,Y,Z,U),
inference('REWRITE',[status(thm)],[56,16716]) ).
cnf(16718,plain,
$false,
inference('REWRITE',[status(thm)],[16660,16717]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 19:37:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T19:37:02
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-17T19:37:02
% 0.19/0.50
% 0.19/0.51 WARNING: In quantification, variable ?M is being rebound.
% 0.19/0.51 ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 22.85/23.06 ; Declaring coll to be commutative.
% 22.85/23.06
% 22.85/23.06 #||
% 22.85/23.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.85/23.06 % SZS output start Refutation
% See solution above
% 22.85/23.06 ||#
% 22.85/23.06
% 22.85/23.06 ; Summary of computation:
% 22.85/23.06 ; 123309 formulas have been input or derived (from 2036 formulas).
% 22.85/23.06 ; 16718 (14%) were retained. Of these,
% 22.85/23.06 ; 13675 (82%) were simplified or subsumed later,
% 22.85/23.06 ; 3043 (18%) are still being kept.
% 22.85/23.06 ;
% 22.85/23.06 ; Run time in seconds excluding printing time:
% 22.85/23.06 ; 0.030 0% Read assertion file (1 call)
% 22.85/23.06 ; 0.006 0% Assert (95 calls)
% 22.85/23.06 ; 0.911 4% Process new row (119,940 calls)
% 22.85/23.06 ; 19.710 87% Resolution (4,070 calls)
% 22.85/23.06 ; 0.006 0% Paramodulation (2,035 calls)
% 22.85/23.06 ; 0.006 0% Condensing (145 calls)
% 22.85/23.06 ; 0.002 0% Forward subsumption (145 calls)
% 22.85/23.06 ; 0.000 0% Backward subsumption (144 calls)
% 22.85/23.06 ; 0.001 0% Clause clause subsumption (174 calls)
% 22.85/23.06 ; 0.520 2% Forward simplification (90,883 calls)
% 22.85/23.06 ; 1.099 5% Backward simplification (16,718 calls)
% 22.85/23.06 ; 0.000 0% Ordering (32 calls)
% 22.85/23.06 ; 0.000 0% Sortal reasoning (32 calls)
% 22.85/23.06 ; 0.000 0% Purity testing (1 call)
% 22.85/23.06 ; 0.299 1% Other
% 22.85/23.06 ; 22.590 Total
% 22.85/23.06 ; 22.599 Real time
% 22.85/23.06 ;
% 22.85/23.06 ; Term-hash-array has 22,060 terms in all.
% 22.85/23.06 ; Feature-vector-row-index has 60 entries (123 at peak, 144 added, 84 deleted).
% 22.85/23.06 ; Feature-vector-row-index has 78 nodes (242 at peak, 265 added, 187 deleted).
% 22.85/23.06 ; Retrieved 156 possibly forward subsuming rows in 145 calls.
% 22.85/23.06 ; Retrieved 56 possibly backward subsumed rows in 144 calls.
% 22.85/23.06 ; Path-index has 3,087 entries (15,897 at peak, 22,094 added, 19,007 deleted).
% 22.85/23.06 ; Path-index has 856 nodes (1,144 at peak, 1,479 added, 623 deleted).
% 22.85/23.06 ; Trie-index has 3,087 entries (15,897 at peak, 22,094 added, 19,007 deleted).
% 22.85/23.06 ; Trie-index has 9,663 nodes (37,723 at peak, 52,815 added, 43,152 deleted).
% 22.85/23.06 ; Retrieved 112,456 generalization terms in 90,813 calls.
% 22.85/23.06 ; Retrieved 78,884 instance terms in 16,573 calls.
% 22.85/23.06 ; Retrieved 28,923,624 unifiable terms in 1,197,247 calls.
% 22.85/23.06 ;
% 22.85/23.06 ; The agenda of backward simplifiable rows to process has 8 entries:
% 22.85/23.06 ; 8 with value 0
% 22.85/23.06 ; The agenda of rows to process has 130 entries:
% 22.85/23.06 ; 25 with value 8 4 with value 12 8 with value 17
% 22.85/23.06 ; 18 with value 9 22 with value 14 1 with value 18
% 22.85/23.06 ; 10 with value 10 24 with value 15 1 with value 19
% 22.85/23.06 ; 4 with value 11 12 with value 16 1 with value 21
% 22.85/23.06 ; The agenda of input rows to give has 1 entry:
% 22.85/23.06 ; 1 with value 6
% 22.85/23.06 ; The agenda of rows to give has 2033 entries:
% 22.85/23.06 ; 10 with value (4 7) 12 with value (4 12) 20 with value (4 16)
% 22.85/23.06 ; 3 with value (4 8) 27 with value (4 13) 1 with value (4 19)
% 22.85/23.06 ; 6 with value (4 10) 431 with value (4 14) 2 with value (4 29)
% 22.85/23.06 ; 9 with value (4 11) 1512 with value (4 15)
% 22.85/23.06 Evaluation took:
% 22.85/23.06 22.6 seconds of real time
% 22.85/23.06 22.01652 seconds of user run time
% 22.85/23.06 0.578008 seconds of system run time
% 22.85/23.06 [Run times include 1.107 seconds GC run time.]
% 22.85/23.06 0 calls to %EVAL
% 22.85/23.06 0 page faults and
% 22.85/23.06 1,344,820,872 bytes consed.
% 22.85/23.06 :PROOF-FOUND
% 22.85/23.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T19:37:25
% 22.85/23.06 :PROOF-FOUND
% 22.85/23.06 *
%------------------------------------------------------------------------------