TSTP Solution File: COL121-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Fri Jul 15 00:41:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_Odiamond__strip__lemmaE_0,axiom,
( ~ c_Comb_Odiamond(X,Y)
| ~ c_in(c_Pair(Z,U,Y,Y),X,tc_prod(Y,Y))
| ~ c_in(c_Pair(Z,V,Y,Y),c_Transitive__Closure_Ortrancl(X,Y),tc_prod(Y,Y))
| c_in(c_Pair(U,c_Comb_Odiamond__strip__lemmaE__1(X,V,U,Y),Y,Y),c_Transitive__Closure_Ortrancl(X,Y),tc_prod(Y,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_0) ).
cnf(cls_Comb_Odiamond__strip__lemmaE_1,axiom,
( ~ c_Comb_Odiamond(X,Y)
| ~ c_in(c_Pair(Z,U,Y,Y),X,tc_prod(Y,Y))
| ~ c_in(c_Pair(Z,V,Y,Y),c_Transitive__Closure_Ortrancl(X,Y),tc_prod(Y,Y))
| c_in(c_Pair(V,c_Comb_Odiamond__strip__lemmaE__1(X,V,U,Y),Y,Y),X,tc_prod(Y,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_1) ).
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_0,negated_conjecture,
c_Comb_Odiamond(v_r,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(v_ya,v_z,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(v_y,v_xaa,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_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(c_Pair(v_ya,v_x(X),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,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_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(c_Pair(X,v_x(X),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,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(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_z,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_6) ).
cnf(13,plain,
c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,cls_conjecture_3]) ).
cnf(14,plain,
c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,cls_conjecture_3]) ).
cnf(19,plain,
c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Odiamond__strip__lemmaE_1,13,cls_conjecture_0,cls_conjecture_2]) ).
cnf(20,plain,
c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Odiamond__strip__lemmaE_0,13,cls_conjecture_0,cls_conjecture_2]) ).
cnf(51,plain,
c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),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_0,19]) ).
cnf(80,plain,
~ c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),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_6,20]) ).
cnf(107,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Transitive__Closure_Ortrancl__trans_0,80,14]),51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : Tue May 31 15:49:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:49:13
% 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 2022-05-31T15:49:13
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 192 formulas have been input or derived (from 71 formulas).
% 0.19/0.53 ; 107 (56%) were retained. Of these,
% 0.19/0.53 ; 107 (100%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (10 calls)
% 0.19/0.53 ; 0.010 16% Process new row (144 calls)
% 0.19/0.53 ; 0.019 30% Resolution (140 calls)
% 0.19/0.53 ; 0.003 5% Paramodulation (70 calls)
% 0.19/0.53 ; 0.001 2% Condensing (7 calls)
% 0.19/0.53 ; 0.001 2% Forward subsumption (7 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (7 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.19/0.53 ; 0.000 0% Forward simplification (144 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (107 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.025 39% Other
% 0.19/0.53 ; 0.064 Total
% 0.19/0.53 ; 0.068 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 201 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 84 nodes (84 at peak, 84 added, 0 deleted).
% 0.19/0.53 ; Retrieved 3 possibly forward subsuming rows in 7 calls.
% 0.19/0.53 ; Retrieved 3 possibly backward subsumed rows in 7 calls.
% 0.19/0.53 ; Path-index has 207 entries (207 at peak, 207 added, 0 deleted).
% 0.19/0.53 ; Path-index has 285 nodes (285 at peak, 285 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 207 entries (207 at peak, 207 added, 0 deleted).
% 0.19/0.53 ; Trie-index has 1,368 nodes (1,368 at peak, 1,368 added, 0 deleted).
% 0.19/0.53 ; Retrieved 38 generalization terms in 141 calls.
% 0.19/0.53 ; Retrieved 99 instance terms in 99 calls.
% 0.19/0.53 ; Retrieved 3,168 unifiable terms in 1,488 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 1 entry:
% 0.19/0.53 ; 1 with value 28
% 0.19/0.53 ; The agenda of rows to give has 36 entries:
% 0.19/0.53 ; 1 with value (4 23) 5 with value (4 28) 2 with value (4 33)
% 0.19/0.53 ; 11 with value (4 25) 1 with value (4 29) 1 with value (4 35)
% 0.19/0.53 ; 2 with value (4 26) 2 with value (4 30) 1 with value (4 36)
% 0.19/0.53 ; 7 with value (4 27) 1 with value (4 32) 2 with value (4 37)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.068 seconds of real time
% 0.19/0.53 0.06226 seconds of user run time
% 0.19/0.53 0.006231 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 5,146,504 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:49:13
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------