TSTP Solution File: COL123-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL123-2 : 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 00:41:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 16 RR)
% Number of literals : 26 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Pair(X,v_xaa(X),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(c_Pair(v_y,v_xaa(X),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_in(c_Pair(v_z,X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xb,X,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(c_Pair(X,v_xa(Y,X,Z),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(Y,Z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(Y,X,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Pair(X,v_xa(Y,Z,X),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(Y,X,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(Y,Z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(12,plain,
c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,cls_conjecture_2]) ).
cnf(13,plain,
c_in(c_Pair(v_xb,v_xaa(v_xb),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).
cnf(19,plain,
c_in(c_Pair(v_z,v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_7,12,cls_conjecture_1]) ).
cnf(22,plain,
c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_6,12,cls_conjecture_1]) ).
cnf(37,plain,
~ c_in(c_Pair(v_xb,v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_5,19]) ).
cnf(74,plain,
c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Transitive__Closure_Or__into__rtrancl_0,22]) ).
cnf(102,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Transitive__Closure_Ortrancl__trans_0,37,13]),74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue May 31 10:07:02 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.44 SNARK-TPTP-OPTIONS
% 0.18/0.44 *
% 0.18/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44 (USE-FACTORING :POS)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44 *
% 0.18/0.44 "."
% 0.18/0.44 *
% 0.18/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:07:02
% 0.18/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-31T10:07:02
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 234 formulas have been input or derived (from 52 formulas).
% 0.18/0.50 ; 102 (44%) were retained. Of these,
% 0.18/0.50 ; 102 (100%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.003 5% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (9 calls)
% 0.18/0.50 ; 0.012 21% Process new row (163 calls)
% 0.18/0.50 ; 0.013 23% Resolution (102 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (51 calls)
% 0.18/0.50 ; 0.000 0% Condensing (7 calls)
% 0.18/0.50 ; 0.001 2% Forward subsumption (7 calls)
% 0.18/0.50 ; 0.001 2% Backward subsumption (7 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.18/0.50 ; 0.004 7% Forward simplification (163 calls)
% 0.18/0.50 ; 0.001 2% Backward simplification (102 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 37% Other
% 0.18/0.50 ; 0.057 Total
% 0.18/0.50 ; 0.061 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 215 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 85 nodes (85 at peak, 85 added, 0 deleted).
% 0.18/0.50 ; Retrieved 3 possibly forward subsuming rows in 7 calls.
% 0.18/0.50 ; Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.18/0.50 ; Path-index has 221 entries (221 at peak, 221 added, 0 deleted).
% 0.18/0.50 ; Path-index has 296 nodes (296 at peak, 296 added, 0 deleted).
% 0.18/0.50 ; Trie-index has 221 entries (221 at peak, 221 added, 0 deleted).
% 0.18/0.50 ; Trie-index has 1,536 nodes (1,536 at peak, 1,536 added, 0 deleted).
% 0.18/0.50 ; Retrieved 62 generalization terms in 167 calls.
% 0.18/0.50 ; Retrieved 94 instance terms in 94 calls.
% 0.18/0.50 ; Retrieved 1,389 unifiable terms in 816 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 1 entry:
% 0.18/0.50 ; 1 with value 27
% 0.18/0.50 ; The agenda of rows to give has 50 entries:
% 0.18/0.50 ; 1 with value (4 22) 2 with value (4 27) 6 with value (4 34)
% 0.18/0.50 ; 5 with value (4 23) 2 with value (4 28) 4 with value (4 35)
% 0.18/0.50 ; 7 with value (4 24) 4 with value (4 31) 4 with value (4 36)
% 0.18/0.50 ; 3 with value (4 25) 4 with value (4 32) 1 with value (4 37)
% 0.18/0.50 ; 1 with value (4 26) 6 with value (4 33)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.062 seconds of real time
% 0.18/0.50 0.051502 seconds of user run time
% 0.18/0.50 0.009799 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 4,508,336 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:07:02
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------