TSTP Solution File: GEO040-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:13:22 EDT 2022
% Result : Unsatisfiable 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 3 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(Y,inner_pasch(X,Y,Z,V,U),U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( ~ between(X,Y,Z)
| ~ between(U,V,Z)
| between(V,inner_pasch(X,Y,Z,V,U),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
cnf(prove_u_is_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).
cnf(22,plain,
~ between(u,v,u),
inference('UR-RESOLVE',[status(thm)],[identity_for_betweeness,prove_u_is_v]) ).
cnf(31,plain,
between(v,inner_pasch(u,v,w,u,v),v),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch1,v_between_u_and_w,u_between_v_and_w]) ).
cnf(35,plain,
between(u,inner_pasch(u,v,w,u,v),u),
inference('HYPERRESOLVE',[status(thm)],[inner_pasch2,v_between_u_and_w,u_between_v_and_w]) ).
cnf(237,plain,
v = inner_pasch(u,v,w,u,v),
inference('HYPERRESOLVE',[status(thm)],[identity_for_betweeness,31]) ).
cnf(238,plain,
$false,
inference('REWRITE',[status(thm)],[35,22,237,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.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 19:35:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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 2022-06-17T19:35:02
% 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 2022-06-17T19:35:02
% 0.56/0.74
% 0.56/0.74
% 0.56/0.74 #||
% 0.56/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74 % SZS output start Refutation
% See solution above
% 0.56/0.74 ||#
% 0.56/0.74
% 0.56/0.74 ; Summary of computation:
% 0.56/0.74 ; 1373 formulas have been input or derived (from 36 formulas).
% 0.56/0.74 ; 238 (17%) were retained. Of these,
% 0.56/0.74 ; 32 (13%) were simplified or subsumed later,
% 0.56/0.74 ; 206 (87%) are still being kept.
% 0.56/0.74 ;
% 0.56/0.74 ; Run time in seconds excluding printing time:
% 0.56/0.74 ; 0.006 2% Read assertion file (1 call)
% 0.56/0.74 ; 0.001 0% Assert (21 calls)
% 0.56/0.74 ; 0.022 8% Process new row (968 calls)
% 0.56/0.74 ; 0.209 73% Resolution (70 calls)
% 0.56/0.74 ; 0.000 0% Paramodulation (35 calls)
% 0.56/0.74 ; 0.001 0% Condensing (94 calls)
% 0.56/0.74 ; 0.002 1% Forward subsumption (94 calls)
% 0.56/0.74 ; 0.001 0% Backward subsumption (71 calls)
% 0.56/0.74 ; 0.000 0% Clause clause subsumption (276 calls)
% 0.56/0.74 ; 0.014 5% Forward simplification (968 calls)
% 0.56/0.74 ; 0.003 1% Backward simplification (238 calls)
% 0.56/0.74 ; 0.000 0% Ordering (92 calls)
% 0.56/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.74 ; 0.000 0% Purity testing (1 call)
% 0.56/0.74 ; 0.029 10% Other
% 0.56/0.74 ; 0.288 Total
% 0.56/0.74 ; 0.289 Real time
% 0.56/0.74 ;
% 0.56/0.74 ; Term-hash-array has 446 terms in all.
% 0.56/0.74 ; Feature-vector-row-index has 57 entries (57 at peak, 71 added, 14 deleted).
% 0.56/0.74 ; Feature-vector-row-index has 411 nodes (411 at peak, 510 added, 99 deleted).
% 0.56/0.74 ; Retrieved 239 possibly forward subsuming rows in 94 calls.
% 0.56/0.74 ; Retrieved 83 possibly backward subsumed rows in 71 calls.
% 0.56/0.74 ; Path-index has 397 entries (399 at peak, 459 added, 62 deleted).
% 0.56/0.74 ; Path-index has 1,462 nodes (1,462 at peak, 1,536 added, 74 deleted).
% 0.56/0.74 ; Trie-index has 397 entries (399 at peak, 459 added, 62 deleted).
% 0.56/0.74 ; Trie-index has 2,497 nodes (2,506 at peak, 2,818 added, 321 deleted).
% 0.56/0.74 ; Retrieved 2,577 generalization terms in 1,896 calls.
% 0.56/0.74 ; Retrieved 389 instance terms in 166 calls.
% 0.56/0.74 ; Retrieved 359,207 unifiable terms in 13,927 calls.
% 0.56/0.74 ;
% 0.56/0.74 ; The agenda of rows to process has 59 entries:
% 0.56/0.74 ; 4 with value 18 1 with value 31 1 with value 48
% 0.56/0.74 ; 1 with value 19 2 with value 34 2 with value 50
% 0.56/0.74 ; 4 with value 20 4 with value 35 1 with value 55
% 0.56/0.74 ; 5 with value 21 5 with value 39 1 with value 58
% 0.56/0.74 ; 4 with value 25 3 with value 40 1 with value 59
% 0.56/0.74 ; 8 with value 27 1 with value 44 1 with value 67
% 0.56/0.74 ; 7 with value 29 1 with value 45 1 with value 74
% 0.56/0.74 ; 1 with value 30
% 0.56/0.74 ; The agenda of rows to give has 171 entries:
% 0.56/0.74 ; 8 with value (4 12) 5 with value (4 25) 2 with value (4 38)
% 0.56/0.74 ; 9 with value (4 13) 3 with value (4 26) 4 with value (4 39)
% 0.56/0.74 ; 26 with value (4 14) 6 with value (4 27) 2 with value (4 40)
% 0.56/0.74 ; 5 with value (4 15) 3 with value (4 28) 1 with value (4 42)
% 0.56/0.74 ; 3 with value (4 16) 5 with value (4 29) 1 with value (4 44)
% 0.56/0.74 ; 10 with value (4 17) 2 with value (4 30) 2 with value (4 48)
% 0.56/0.74 ; 11 with value (4 18) 1 with value (4 31) 1 with value (4 50)
% 0.56/0.74 ; 13 with value (4 19) 4 with value (4 32) 1 with value (4 53)
% 0.56/0.74 ; 2 with value (4 20) 2 with value (4 33) 1 with value (4 54)
% 0.56/0.74 ; 8 with value (4 21) 3 with value (4 34) 1 with value (4 55)
% 0.56/0.74 ; 2 with value (4 22) 3 with value (4 35) 1 with value (4 58)
% 0.56/0.74 ; 12 with value (4 23) 3 with value (4 36) 1 with value (4 67)
% 0.56/0.74 ; 2 with value (4 24) 2 with value (4 37)
% 0.56/0.74 Evaluation took:
% 0.56/0.74 0.29 seconds of real time
% 0.56/0.74 0.275869 seconds of user run time
% 0.56/0.74 0.013722 seconds of system run time
% 0.56/0.74 [Run times include 0.006 seconds GC run time.]
% 0.56/0.74 0 calls to %EVAL
% 0.56/0.74 0 page faults and
% 0.56/0.74 16,120,224 bytes consed.
% 0.56/0.74 :PROOF-FOUND
% 0.56/0.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T19:35:02
% 0.56/0.74 :PROOF-FOUND
% 0.56/0.74 *
%------------------------------------------------------------------------------