TSTP Solution File: LCL441-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL441-1 : 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 : Sun Jul 17 14:22:57 EDT 2022
% Result : Unsatisfiable 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X,Y,tc_PropLog_Opl(Z))
| c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X,c_insert(X,Y,Z),Z),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_a,v_tt,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(1102,plain,
c_in(X,c_PropLog_Othms(c_insert(X,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).
cnf(1103,plain,
~ c_in(v_a,v_tt,t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_2,1102]) ).
cnf(1104,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_1,1103,1102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL441-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 : Sun Jul 3 02:49:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-03T02:49:15
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-03T02:49:15
% 0.38/0.62
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64 WARNING:
% 0.47/0.64 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.61/0.79 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.61/0.79
% 0.61/0.79 #||
% 0.61/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.79 % SZS output start Refutation
% See solution above
% 0.61/0.79 ||#
% 0.61/0.79
% 0.61/0.79 ; Summary of computation:
% 0.61/0.79 ; 3132 formulas have been input or derived (from 410 formulas).
% 0.61/0.79 ; 1104 (35%) were retained. Of these,
% 0.61/0.79 ; 10 ( 1%) were simplified or subsumed later,
% 0.61/0.79 ; 1094 (99%) are still being kept.
% 0.61/0.79 ;
% 0.61/0.79 ; Run time in seconds excluding printing time:
% 0.61/0.79 ; 0.147 45% Read assertion file (1 call)
% 0.61/0.79 ; 0.014 4% Assert (1,377 calls)
% 0.61/0.79 ; 0.050 15% Process new row (2,695 calls)
% 0.61/0.79 ; 0.027 8% Resolution (818 calls)
% 0.61/0.79 ; 0.001 0% Paramodulation (409 calls)
% 0.61/0.79 ; 0.000 0% Factoring (5 calls)
% 0.61/0.79 ; 0.003 1% Condensing (482 calls)
% 0.61/0.79 ; 0.006 2% Forward subsumption (482 calls)
% 0.61/0.79 ; 0.015 5% Backward subsumption (461 calls)
% 0.61/0.79 ; 0.001 0% Clause clause subsumption (107 calls)
% 0.61/0.79 ; 0.015 5% Forward simplification (1,929 calls)
% 0.61/0.79 ; 0.003 1% Backward simplification (1,103 calls)
% 0.61/0.79 ; 0.000 0% Ordering (186 calls)
% 0.61/0.79 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.79 ; 0.007 2% Purity testing (1 call)
% 0.61/0.79 ; 0.036 11% Other
% 0.61/0.79 ; 0.325 Total
% 0.61/0.79 ; 0.327 Real time
% 0.61/0.79 ;
% 0.61/0.79 ; Term-hash-array has 2,103 terms in all.
% 0.61/0.79 ; Feature-vector-row-index has 458 entries (461 at peak, 461 added, 3 deleted).
% 0.61/0.79 ; Feature-vector-row-index has 1,110 nodes (1,180 at peak, 1,180 added, 70 deleted).
% 0.61/0.79 ; Retrieved 453 possibly forward subsuming rows in 482 calls.
% 0.61/0.79 ; Retrieved 411 possibly backward subsumed rows in 461 calls.
% 0.61/0.79 ; Path-index has 2,108 entries (2,117 at peak, 2,128 added, 20 deleted).
% 0.61/0.79 ; Path-index has 8,236 nodes (8,273 at peak, 8,281 added, 45 deleted).
% 0.61/0.79 ; Trie-index has 2,108 entries (2,117 at peak, 2,128 added, 20 deleted).
% 0.61/0.79 ; Trie-index has 9,482 nodes (9,551 at peak, 9,572 added, 90 deleted).
% 0.61/0.79 ; Retrieved 847 generalization terms in 2,612 calls.
% 0.61/0.79 ; Retrieved 724 instance terms in 641 calls.
% 0.61/0.79 ; Retrieved 22,020 unifiable terms in 2,112 calls.
% 0.61/0.79 ;
% 0.61/0.79 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.61/0.79 ; 1 with value 0
% 0.61/0.79 ; The agenda of rows to process has 4 entries:
% 0.61/0.79 ; 2 with value 16 1 with value 19 1 with value 24
% 0.61/0.79 ; The agenda of input rows to give has 160 entries:
% 0.61/0.79 ; 1 with value 5 9 with value 27 5 with value 41
% 0.61/0.79 ; 20 with value 16 2 with value 28 1 with value 42
% 0.61/0.79 ; 17 with value 17 5 with value 29 2 with value 46
% 0.61/0.79 ; 9 with value 18 1 with value 30 2 with value 56
% 0.61/0.79 ; 21 with value 19 2 with value 32 2 with value 62
% 0.61/0.79 ; 6 with value 20 2 with value 33 1 with value 65
% 0.61/0.79 ; 14 with value 21 1 with value 34 1 with value 82
% 0.61/0.79 ; 5 with value 22 3 with value 35 2 with value 85
% 0.61/0.79 ; 4 with value 23 1 with value 37 1 with value 88
% 0.61/0.79 ; 5 with value 24 4 with value 38 1 with value 90
% 0.61/0.79 ; 7 with value 26 3 with value 40
% 0.61/0.79 ; The agenda of rows to give has 524 entries:
% 0.61/0.79 ; 7 with value (4 6) 63 with value (4 12) 40 with value (4 18)
% 0.61/0.79 ; 12 with value (4 7) 32 with value (4 13) 54 with value (4 19)
% 0.61/0.79 ; 11 with value (4 8) 37 with value (4 14) 49 with value (4 20)
% 0.61/0.79 ; 17 with value (4 9) 50 with value (4 15) 3 with value (4 21)
% 0.61/0.79 ; 31 with value (4 10) 76 with value (4 16) 1 with value (4 22)
% 0.61/0.79 ; 12 with value (4 11) 29 with value (4 17)
% 0.61/0.79 Evaluation took:
% 0.61/0.79 0.327 seconds of real time
% 0.61/0.79 0.294909 seconds of user run time
% 0.61/0.79 0.032221 seconds of system run time
% 0.61/0.79 [Run times include 0.006 seconds GC run time.]
% 0.61/0.79 0 calls to %EVAL
% 0.61/0.79 0 page faults and
% 0.61/0.79 23,079,552 bytes consed.
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:49:15
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 *
%------------------------------------------------------------------------------