TSTP Solution File: COL102-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 : Fri Jul 15 00:41:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Comb_Ocontract_OAp1_0,axiom,
( ~ c_in(c_Pair(X,Y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X,Z),c_Comb_Ocomb_Oop_A_D_D(Y,Z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OAp1_0) ).
cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
( ~ c_in(X,Y,tc_prod(Z,Z))
| c_in(X,c_Transitive__Closure_Ortrancl(Y,Z),tc_prod(Z,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
( ~ c_in(c_Pair(X,Y,Z,Z),c_Transitive__Closure_Ortrancl(U,Z),tc_prod(Z,Z))
| ~ c_in(c_Pair(V,X,Z,Z),c_Transitive__Closure_Ortrancl(U,Z),tc_prod(Z,Z))
| c_in(c_Pair(V,Y,Z,Z),c_Transitive__Closure_Ortrancl(U,Z),tc_prod(Z,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(10,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,X),c_Comb_Ocomb_Oop_A_D_D(v_za,X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Ocontract_OAp1_0,cls_conjecture_1]) ).
cnf(11,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('UR-RESOLVE',[status(thm)],[cls_Transitive__Closure_Ortrancl__trans_0,cls_conjecture_2,cls_conjecture_3]) ).
cnf(14,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,X),c_Comb_Ocomb_Oop_A_D_D(v_za,X),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference('HYPERRESOLVE',[status(thm)],[cls_Transitive__Closure_Or__into__rtrancl_0,10]) ).
cnf(15,plain,
$false,
inference('REWRITE',[status(thm)],[11,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL102-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 10:22:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:22:47
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-31T10:22:47
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 22 formulas have been input or derived (from 11 formulas).
% 0.21/0.53 ; 15 (68%) were retained. Of these,
% 0.21/0.53 ; 1 ( 7%) were simplified or subsumed later,
% 0.21/0.53 ; 14 (93%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.53 ; 0.002 6% Read assertion file (1 call)
% 0.21/0.53 ; 0.001 3% Assert (6 calls)
% 0.21/0.53 ; 0.000 0% Process new row (15 calls)
% 0.21/0.53 ; 0.003 9% Resolution (20 calls)
% 0.21/0.53 ; 0.000 0% Paramodulation (10 calls)
% 0.21/0.53 ; 0.000 0% Condensing (3 calls)
% 0.21/0.53 ; 0.000 0% Forward subsumption (3 calls)
% 0.21/0.53 ; 0.001 3% Backward subsumption (3 calls)
% 0.21/0.53 ; 0.000 0% Clause clause subsumption (1 call)
% 0.21/0.53 ; 0.000 0% Forward simplification (15 calls)
% 0.21/0.53 ; 0.001 3% Backward simplification (15 calls)
% 0.21/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.53 ; 0.000 0% Purity testing (1 call)
% 0.21/0.53 ; 0.024 75% Other
% 0.21/0.53 ; 0.032 Total
% 0.21/0.53 ; 0.033 Real time
% 0.21/0.53 ;
% 0.21/0.53 ; Term-hash-array has 42 terms in all.
% 0.21/0.53 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.21/0.53 ; Feature-vector-row-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.21/0.53 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.21/0.53 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.21/0.53 ; Path-index has 46 entries (48 at peak, 48 added, 2 deleted).
% 0.21/0.53 ; Path-index has 121 nodes (121 at peak, 121 added, 0 deleted).
% 0.21/0.53 ; Trie-index has 46 entries (48 at peak, 48 added, 2 deleted).
% 0.21/0.53 ; Trie-index has 194 nodes (212 at peak, 212 added, 18 deleted).
% 0.21/0.53 ; Retrieved 0 generalization terms in 17 calls.
% 0.21/0.53 ; Retrieved 12 instance terms in 11 calls.
% 0.21/0.53 ; Retrieved 122 unifiable terms in 114 calls.
% 0.21/0.53 ;
% 0.21/0.53 ; The agenda of rows to process has 1 entry:
% 0.21/0.53 ; 1 with value 24
% 0.21/0.53 ; The agenda of rows to give has 3 entries:
% 0.21/0.53 ; 1 with value (4 19) 1 with value (4 21) 1 with value (4 22)
% 0.21/0.53 Evaluation took:
% 0.21/0.53 0.033 seconds of real time
% 0.21/0.53 0.030204 seconds of user run time
% 0.21/0.53 0.002818 seconds of system run time
% 0.21/0.53 0 calls to %EVAL
% 0.21/0.53 0 page faults and
% 0.21/0.53 2,358,456 bytes consed.
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:22:47
% 0.21/0.53 :PROOF-FOUND
% 0.21/0.53 *
%------------------------------------------------------------------------------