TSTP Solution File: COM011-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COM011-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 01:42:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 5 nHn; 16 RR)
% Number of literals : 36 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_ODiffE_1,axiom,
( ~ c_in(X,c_minus(Y,Z,tc_set(U)),U)
| c_in(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
| c_lessequals(X,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_UNITY_Oconstrains__weaken__L_0,axiom,
( ~ c_in(X,c_UNITY_Oconstrains(Y,Z,U),tc_UNITY_Oprogram(U))
| ~ c_lessequals(V,Y,tc_set(U))
| c_in(X,c_UNITY_Oconstrains(V,Z,U),tc_UNITY_Oprogram(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
cnf(cls_WFair_OensuresI_0,axiom,
( ~ c_in(X,c_UNITY_Oconstrains(c_minus(Y,Z,tc_set(U)),c_union(Y,Z,U),U),tc_UNITY_Oprogram(U))
| ~ c_in(X,c_WFair_Otransient(c_minus(Y,Z,tc_set(U)),U),tc_UNITY_Oprogram(U))
| c_in(X,c_WFair_Oensures(Y,Z,U),tc_UNITY_Oprogram(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
cnf(cls_WFair_OleadsTo__Basis_0,axiom,
( ~ c_in(X,c_WFair_Oensures(Y,Z,U),tc_UNITY_Oprogram(U))
| c_in(X,c_WFair_OleadsTo(Y,Z,U),tc_UNITY_Oprogram(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
cnf(cls_WFair_Otransient__strengthen_0,axiom,
( ~ c_in(X,c_WFair_Otransient(Y,Z),tc_UNITY_Oprogram(Z))
| ~ c_lessequals(U,Y,tc_set(Z))
| c_in(X,c_WFair_Otransient(U,Z),tc_UNITY_Oprogram(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
cnf(12,plain,
~ c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_WFair_OleadsTo__Basis_0,cls_conjecture_2]) ).
cnf(13,plain,
( c_in(c_Main_OsubsetI__1(X,v_A,t_a),X,t_a)
| c_in(v_F,c_WFair_Otransient(X,t_a),tc_UNITY_Oprogram(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_WFair_Otransient__strengthen_0,cls_conjecture_1,cls_Set_OsubsetI_0]) ).
cnf(14,plain,
( c_in(c_Main_OsubsetI__1(X,v_A,t_a),X,t_a)
| c_in(v_F,c_UNITY_Oconstrains(X,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_UNITY_Oconstrains__weaken__L_0,cls_conjecture_0,cls_Set_OsubsetI_0]) ).
cnf(17,plain,
( c_in(v_F,c_WFair_Otransient(c_minus(X,Y,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| c_in(c_Main_OsubsetI__1(c_minus(X,Y,tc_set(t_a)),v_A,t_a),X,t_a) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_ODiffE_1,13]) ).
cnf(22,plain,
( c_in(v_F,c_WFair_Otransient(c_minus(v_A,X,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| c_lessequals(c_minus(v_A,X,tc_set(t_a)),v_A,tc_set(t_a)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetI_1,17]) ).
cnf(24,plain,
c_in(v_F,c_WFair_Otransient(c_minus(v_A,X,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_WFair_Otransient__strengthen_0,22,cls_conjecture_1]) ).
cnf(25,plain,
~ c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,v_B,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_WFair_OensuresI_0,24,12]) ).
cnf(27,plain,
c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,v_B,tc_set(t_a)),t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_WFair_OensuresI_0,24,14]),12]) ).
cnf(28,plain,
~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_UNITY_Oconstrains__weaken__L_0,25,cls_conjecture_0]) ).
cnf(30,plain,
~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),v_A,t_a),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetI_1,28]) ).
cnf(31,plain,
~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,X,tc_set(t_a)),t_a),
inference('UR-RESOLVE',[status(thm)],[cls_Set_ODiffE_1,30]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[27,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM011-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 : Thu Jun 16 17:30:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:30:49
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-16T17:30:49
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 41 formulas have been input or derived (from 24 formulas).
% 0.19/0.51 ; 32 (78%) were retained. Of these,
% 0.19/0.51 ; 2 ( 6%) were simplified or subsumed later,
% 0.19/0.51 ; 30 (94%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 8% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (10 calls)
% 0.19/0.51 ; 0.001 3% Process new row (38 calls)
% 0.19/0.51 ; 0.003 8% Resolution (46 calls)
% 0.19/0.51 ; 0.002 5% Paramodulation (23 calls)
% 0.19/0.51 ; 0.000 0% Factoring (5 calls)
% 0.19/0.51 ; 0.000 0% Condensing (14 calls)
% 0.19/0.51 ; 0.001 3% Forward subsumption (14 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (14 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.19/0.51 ; 0.003 8% Forward simplification (36 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (32 calls)
% 0.19/0.51 ; 0.000 0% Ordering (15 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 59% Other
% 0.19/0.51 ; 0.037 Total
% 0.19/0.51 ; 0.040 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 91 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 13 entries (13 at peak, 14 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 122 nodes (124 at peak, 137 added, 15 deleted).
% 0.19/0.51 ; Retrieved 4 possibly forward subsuming rows in 14 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.19/0.51 ; Path-index has 93 entries (94 at peak, 95 added, 2 deleted).
% 0.19/0.51 ; Path-index has 457 nodes (458 at peak, 463 added, 6 deleted).
% 0.19/0.51 ; Trie-index has 93 entries (94 at peak, 95 added, 2 deleted).
% 0.19/0.51 ; Trie-index has 544 nodes (548 at peak, 556 added, 12 deleted).
% 0.19/0.51 ; Retrieved 5 generalization terms in 47 calls.
% 0.19/0.51 ; Retrieved 18 instance terms in 17 calls.
% 0.19/0.51 ; Retrieved 239 unifiable terms in 223 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to give has 7 entries:
% 0.19/0.51 ; 1 with value (4 27) 1 with value (4 32) 1 with value (4 34)
% 0.19/0.51 ; 1 with value (4 29) 1 with value (4 33) 1 with value (4 43)
% 0.19/0.51 ; 1 with value (4 31)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.04 seconds of real time
% 0.19/0.51 0.031929 seconds of user run time
% 0.19/0.51 0.008965 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,808,296 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:30:49
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------