TSTP Solution File: LCL434-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL434-1 : 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 14:22:51 EDT 2022
% Result : Unsatisfiable 2.83s 3.00s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 16 ( 3 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 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/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
cnf(cls_Set_OinsertE_0,axiom,
( ~ c_in(X,c_insert(Y,Z,U),U)
| c_in(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).
cnf(cls_PropLog_Othms__I_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X,X,Y),c_PropLog_Othms(Z,Y),tc_PropLog_Opl(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| c_in(c_PropLog_Opl_Oop_A_N_62(U,X,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
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_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(1509,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| v_pa = v_p ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,cls_conjecture_0]) ).
cnf(2094,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Oweaken__right_0,cls_conjecture_1]) ).
cnf(12340,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OH_0,2094]) ).
cnf(12341,plain,
v_pa = v_p,
inference('REWRITE',[status(thm)],[1509,12340]) ).
cnf(12342,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_PropLog_Othms__I_0,12341,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : LCL434-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Sat Jul 2 13:04:45 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-07-02T13:04:45
% 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 2022-07-02T13:04:45
% 0.46/0.63
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.83/3.00 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 2.83/3.00
% 2.83/3.00 #||
% 2.83/3.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.83/3.00 % SZS output start Refutation
% See solution above
% 2.83/3.00 ||#
% 2.83/3.00
% 2.83/3.00 ; Summary of computation:
% 2.83/3.00 ; 24968 formulas have been input or derived (from 712 formulas).
% 2.83/3.00 ; 12342 (49%) were retained. Of these,
% 2.83/3.00 ; 233 ( 2%) were simplified or subsumed later,
% 2.83/3.00 ; 12109 (98%) are still being kept.
% 2.83/3.00 ;
% 2.83/3.00 ; Run time in seconds excluding printing time:
% 2.83/3.00 ; 0.141 6% Read assertion file (1 call)
% 2.83/3.00 ; 0.014 1% Assert (1,375 calls)
% 2.83/3.00 ; 1.146 45% Process new row (22,702 calls)
% 2.83/3.00 ; 0.688 27% Resolution (1,422 calls)
% 2.83/3.00 ; 0.013 1% Paramodulation (711 calls)
% 2.83/3.00 ; 0.000 0% Factoring (8 calls)
% 2.83/3.00 ; 0.024 1% Condensing (1,170 calls)
% 2.83/3.00 ; 0.048 2% Forward subsumption (1,170 calls)
% 2.83/3.00 ; 0.038 2% Backward subsumption (1,138 calls)
% 2.83/3.00 ; 0.004 0% Clause clause subsumption (824 calls)
% 2.83/3.00 ; 0.197 8% Forward simplification (21,933 calls)
% 2.83/3.00 ; 0.093 4% Backward simplification (12,341 calls)
% 2.83/3.00 ; 0.012 0% Ordering (1,739 calls)
% 2.83/3.00 ; 0.000 0% Sortal reasoning (32 calls)
% 2.83/3.00 ; 0.008 0% Purity testing (1 call)
% 2.83/3.00 ; 0.101 4% Other
% 2.83/3.00 ; 2.527 Total
% 2.83/3.00 ; 2.528 Real time
% 2.83/3.00 ;
% 2.83/3.00 ; Term-hash-array has 27,844 terms in all.
% 2.83/3.00 ; Feature-vector-row-index has 1,124 entries (1,131 at peak, 1,138 added, 14 deleted).
% 2.83/3.00 ; Feature-vector-row-index has 4,321 nodes (4,414 at peak, 4,456 added, 135 deleted).
% 2.83/3.00 ; Retrieved 2,212 possibly forward subsuming rows in 1,170 calls.
% 2.83/3.00 ; Retrieved 919 possibly backward subsumed rows in 1,138 calls.
% 2.83/3.00 ; Path-index has 27,377 entries (27,646 at peak, 27,910 added, 533 deleted).
% 2.83/3.00 ; Path-index has 42,655 nodes (43,129 at peak, 43,277 added, 622 deleted).
% 2.83/3.00 ; Trie-index has 27,377 entries (27,646 at peak, 27,910 added, 533 deleted).
% 2.83/3.00 ; Trie-index has 150,442 nodes (152,687 at peak, 153,734 added, 3,292 deleted).
% 2.83/3.00 ; Retrieved 13,029 generalization terms in 33,547 calls.
% 2.83/3.00 ; Retrieved 11,704 instance terms in 11,204 calls.
% 2.83/3.00 ; Retrieved 1,318,158 unifiable terms in 17,480 calls.
% 2.83/3.00 ;
% 2.83/3.00 ; The agenda of backward simplifiable rows to process has 107 entries:
% 2.83/3.00 ; 107 with value 0
% 2.83/3.00 ; The agenda of rows to process has 76 entries:
% 2.83/3.00 ; 3 with value 9 9 with value 17 12 with value 22
% 2.83/3.00 ; 1 with value 11 8 with value 18 2 with value 23
% 2.83/3.00 ; 4 with value 13 3 with value 19 1 with value 25
% 2.83/3.00 ; 1 with value 15 17 with value 20 2 with value 26
% 2.83/3.00 ; 6 with value 16 6 with value 21 1 with value 35
% 2.83/3.00 ; The agenda of rows to give has 11401 entries:
% 2.83/3.00 ; 1 with value (4 5) 42 with value (4 36) 9 with value (4 62)
% 2.83/3.00 ; 82 with value (4 10) 66 with value (4 37) 24 with value (4 63)
% 2.83/3.00 ; 246 with value (4 11) 43 with value (4 38) 36 with value (4 64)
% 2.83/3.00 ; 447 with value (4 12) 56 with value (4 39) 9 with value (4 66)
% 2.83/3.00 ; 684 with value (4 13) 35 with value (4 40) 5 with value (4 67)
% 2.83/3.00 ; 692 with value (4 14) 11 with value (4 41) 2 with value (4 70)
% 2.83/3.00 ; 1246 with value (4 15) 21 with value (4 42) 8 with value (4 71)
% 2.83/3.00 ; 1183 with value (4 16) 24 with value (4 43) 28 with value (4 72)
% 2.83/3.00 ; 697 with value (4 17) 46 with value (4 44) 4 with value (4 73)
% 2.83/3.00 ; 1693 with value (4 18) 43 with value (4 45) 12 with value (4 74)
% 2.83/3.00 ; 559 with value (4 19) 22 with value (4 46) 2 with value (4 75)
% 2.83/3.00 ; 461 with value (4 20) 9 with value (4 47) 5 with value (4 77)
% 2.83/3.00 ; 594 with value (4 21) 14 with value (4 48) 4 with value (4 79)
% 2.83/3.00 ; 405 with value (4 22) 11 with value (4 49) 4 with value (4 80)
% 2.83/3.00 ; 211 with value (4 23) 10 with value (4 50) 4 with value (4 82)
% 2.83/3.00 ; 203 with value (4 24) 13 with value (4 51) 5 with value (4 83)
% 2.83/3.00 ; 135 with value (4 25) 10 with value (4 52) 15 with value (4 84)
% 2.83/3.00 ; 134 with value (4 26) 27 with value (4 53) 4 with value (4 90)
% 2.83/3.00 ; 119 with value (4 27) 6 with value (4 54) 12 with value (4 91)
% 2.83/3.00 ; 132 with value (4 28) 7 with value (4 55) 4 with value (4 92)
% 2.83/3.00 ; 129 with value (4 29) 16 with value (4 56) 2 with value (4 93)
% 2.83/3.00 ; 123 with value (4 30) 5 with value (4 57) 4 with value (4 99)
% 2.83/3.00 ; 99 with value (4 31) 14 with value (4 58) 2 with value (4 100)
% 2.83/3.00 ; 96 with value (4 32) 9 with value (4 59) 1 with value (4 102)
% 2.83/3.00 ; 75 with value (4 33) 4 with value (4 60) 2 with value (4 109)
% 2.83/3.00 ; 104 with value (4 34) 12 with value (4 61) 1 with value (4 116)
% 2.83/3.00 ; 67 with value (4 35)
% 2.83/3.00 Evaluation took:
% 2.83/3.00 2.531 seconds of real time
% 2.83/3.00 2.378135 seconds of user run time
% 2.83/3.00 0.152833 seconds of system run time
% 2.83/3.00 [Run times include 0.479 seconds GC run time.]
% 2.83/3.00 0 calls to %EVAL
% 2.83/3.00 0 page faults and
% 2.83/3.00 175,662,296 bytes consed.
% 2.83/3.00 :PROOF-FOUND
% 2.83/3.00 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T13:04:48
% 2.83/3.00 :PROOF-FOUND
% 2.83/3.00 *
%------------------------------------------------------------------------------