TSTP Solution File: LCL443-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 : Sun Jul 17 14:22:59 EDT 2022
% Result : Unsatisfiable 1.16s 1.37s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 5 RR)
% Number of literals : 17 ( 16 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X,Y,Z),c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)),true,ifeq(c_in(X,c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)),true,c_in(Y,c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Odeduction_0,axiom,
ifeq(c_in(X,c_PropLog_Othms(c_insert(Y,Z,tc_PropLog_Opl(U)),U),tc_PropLog_Opl(U)),true,c_in(c_PropLog_Opl_Oop_A_N_62(Y,X,U),c_PropLog_Othms(Z,U),tc_PropLog_Opl(U)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
ifeq(c_in(X,Y,tc_PropLog_Opl(Z)),true,c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
ifeq(c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)),true,c_in(X,c_PropLog_Othms(c_insert(U,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X,c_insert(X,Y,Z),Z) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(14,plain,
c_in(X,c_PropLog_Othms(c_insert(X,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(15,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_0,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(16,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_1,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(47,plain,
ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X,t_a),c_PropLog_Othms(c_insert(Y,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(X,c_PropLog_Othms(c_insert(Y,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Othms_OMP_0,15,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(62,plain,
ifeq(c_in(v_q,c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true,c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Othms_OMP_0,16,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1683,plain,
c_in(X,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,14,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1690,plain,
c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[62,1683,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(1704,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_PropLog_Odeduction_0,1690,theory(equality)]),cls_conjecture_2,ifeq_axiom,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 21:56:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-02T21:56:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-02T21:56:38
% 1.16/1.37
% 1.16/1.37
% 1.16/1.37 #||
% 1.16/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.37 % SZS output start Refutation
% See solution above
% 1.16/1.37 ||#
% 1.16/1.37
% 1.16/1.37 ; Summary of computation:
% 1.16/1.37 ; 11934 formulas have been input or derived (from 481 formulas).
% 1.16/1.37 ; 1704 (14%) were retained. Of these,
% 1.16/1.37 ; 6 ( 0%) were simplified or subsumed later,
% 1.16/1.37 ; 1698 (100%) are still being kept.
% 1.16/1.37 ;
% 1.16/1.37 ; Run time in seconds excluding printing time:
% 1.16/1.37 ; 0.002 0% Read assertion file (1 call)
% 1.16/1.37 ; 0.001 0% Assert (9 calls)
% 1.16/1.37 ; 0.272 30% Process new row (6,203 calls)
% 1.16/1.37 ; 0.018 2% Resolution (960 calls)
% 1.16/1.37 ; 0.283 31% Paramodulation (480 calls)
% 1.16/1.37 ; 0.225 25% Forward simplification (6,203 calls)
% 1.16/1.37 ; 0.039 4% Backward simplification (1,704 calls)
% 1.16/1.37 ; 0.018 2% Ordering (16,031 calls)
% 1.16/1.37 ; 0.000 0% Sortal reasoning (32 calls)
% 1.16/1.37 ; 0.000 0% Purity testing (1 call)
% 1.16/1.37 ; 0.042 5% Other
% 1.16/1.37 ; 0.900 Total
% 1.16/1.37 ; 0.902 Real time
% 1.16/1.37 ;
% 1.16/1.37 ; Term-hash-array has 6,201 terms in all.
% 1.16/1.37 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.16/1.37 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.16/1.37 ; Path-index has 6,193 entries (6,193 at peak, 6,219 added, 26 deleted).
% 1.16/1.37 ; Path-index has 9,048 nodes (9,048 at peak, 9,091 added, 43 deleted).
% 1.16/1.37 ; Trie-index has 6,193 entries (6,193 at peak, 6,219 added, 26 deleted).
% 1.16/1.37 ; Trie-index has 68,574 nodes (68,574 at peak, 68,886 added, 312 deleted).
% 1.16/1.37 ; Retrieved 23,375 generalization terms in 19,177 calls.
% 1.16/1.37 ; Retrieved 2,200 instance terms in 1,703 calls.
% 1.16/1.37 ; Retrieved 33,344 unifiable terms in 6,142 calls.
% 1.16/1.37 ;
% 1.16/1.37 ; The agenda of rows to process has 10 entries:
% 1.16/1.37 ; 1 with value 31 1 with value 36 1 with value 40
% 1.16/1.37 ; 2 with value 34 2 with value 37 2 with value 52
% 1.16/1.37 ; 1 with value 35
% 1.16/1.37 ; The agenda of rows to give has 1217 entries:
% 1.16/1.37 ; 1 with value (4 26) 123 with value (4 43) 18 with value (4 57)
% 1.16/1.37 ; 2 with value (4 27) 43 with value (4 44) 20 with value (4 58)
% 1.16/1.37 ; 2 with value (4 28) 77 with value (4 45) 23 with value (4 59)
% 1.16/1.37 ; 2 with value (4 29) 39 with value (4 46) 30 with value (4 60)
% 1.16/1.37 ; 1 with value (4 30) 15 with value (4 47) 18 with value (4 61)
% 1.16/1.37 ; 1 with value (4 31) 11 with value (4 48) 16 with value (4 62)
% 1.16/1.37 ; 1 with value (4 32) 12 with value (4 49) 13 with value (4 63)
% 1.16/1.37 ; 2 with value (4 33) 19 with value (4 50) 25 with value (4 64)
% 1.16/1.37 ; 2 with value (4 35) 9 with value (4 51) 16 with value (4 65)
% 1.16/1.37 ; 96 with value (4 38) 19 with value (4 52) 22 with value (4 66)
% 1.16/1.37 ; 114 with value (4 39) 13 with value (4 53) 8 with value (4 67)
% 1.16/1.37 ; 120 with value (4 40) 18 with value (4 54) 5 with value (4 68)
% 1.16/1.37 ; 139 with value (4 41) 20 with value (4 55) 6 with value (4 69)
% 1.16/1.37 ; 70 with value (4 42) 19 with value (4 56) 7 with value (4 71)
% 1.16/1.37 Evaluation took:
% 1.16/1.37 0.903 seconds of real time
% 1.16/1.37 0.822816 seconds of user run time
% 1.16/1.37 0.08016 seconds of system run time
% 1.16/1.37 [Run times include 0.121 seconds GC run time.]
% 1.16/1.37 0 calls to %EVAL
% 1.16/1.37 0 page faults and
% 1.16/1.37 67,144,504 bytes consed.
% 1.16/1.37 :PROOF-FOUND
% 1.16/1.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T21:56:39
% 1.16/1.37 :PROOF-FOUND
% 1.16/1.37 *
%------------------------------------------------------------------------------