TSTP Solution File: LCL437-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL437-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 14:22:53 EDT 2022
% Result : Unsatisfiable 0.77s 0.97s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 0 equ; 2 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_ODN_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X,c_PropLog_Opl_Ofalse,Y),c_PropLog_Opl_Ofalse,Y),X,Y),c_PropLog_Othms(Z,Y),tc_PropLog_Opl(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_ODN_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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(2051,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(Y,c_PropLog_Opl_Ofalse,Z),c_PropLog_Opl_Ofalse,Z),Y,Z),Z),c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__right_0,cls_PropLog_Othms_ODN_0]) ).
cnf(2052,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,2051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL437-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 09:04:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T09:04:26
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-04T09:04:26
% 0.48/0.63
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65 WARNING:
% 0.48/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66 WARNING:
% 0.48/0.66 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.97 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.77/0.97
% 0.77/0.97 #||
% 0.77/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.97 % SZS output start Refutation
% See solution above
% 0.77/0.97 ||#
% 0.77/0.97
% 0.77/0.97 ; Summary of computation:
% 0.77/0.97 ; 4908 formulas have been input or derived (from 499 formulas).
% 0.77/0.97 ; 2052 (42%) were retained. Of these,
% 0.77/0.97 ; 14 ( 1%) were simplified or subsumed later,
% 0.77/0.97 ; 2038 (99%) are still being kept.
% 0.77/0.97 ;
% 0.77/0.97 ; Run time in seconds excluding printing time:
% 0.77/0.97 ; 0.150 30% Read assertion file (1 call)
% 0.77/0.97 ; 0.016 3% Assert (1,374 calls)
% 0.77/0.97 ; 0.145 29% Process new row (4,225 calls)
% 0.77/0.97 ; 0.057 11% Resolution (996 calls)
% 0.77/0.97 ; 0.005 1% Paramodulation (498 calls)
% 0.77/0.97 ; 0.000 0% Factoring (8 calls)
% 0.77/0.97 ; 0.013 3% Condensing (706 calls)
% 0.77/0.97 ; 0.015 3% Forward subsumption (706 calls)
% 0.77/0.97 ; 0.013 3% Backward subsumption (676 calls)
% 0.77/0.97 ; 0.001 0% Clause clause subsumption (278 calls)
% 0.77/0.97 ; 0.028 6% Forward simplification (3,459 calls)
% 0.77/0.97 ; 0.013 3% Backward simplification (2,051 calls)
% 0.77/0.97 ; 0.001 0% Ordering (721 calls)
% 0.77/0.97 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.97 ; 0.007 1% Purity testing (1 call)
% 0.77/0.97 ; 0.032 6% Other
% 0.77/0.97 ; 0.496 Total
% 0.77/0.97 ; 0.497 Real time
% 0.77/0.97 ;
% 0.77/0.97 ; Term-hash-array has 4,438 terms in all.
% 0.77/0.97 ; Feature-vector-row-index has 672 entries (672 at peak, 676 added, 4 deleted).
% 0.77/0.97 ; Feature-vector-row-index has 2,085 nodes (2,085 at peak, 2,100 added, 15 deleted).
% 0.77/0.97 ; Retrieved 775 possibly forward subsuming rows in 706 calls.
% 0.77/0.97 ; Retrieved 487 possibly backward subsumed rows in 676 calls.
% 0.77/0.97 ; Path-index has 4,436 entries (4,447 at peak, 4,465 added, 29 deleted).
% 0.77/0.97 ; Path-index has 16,737 nodes (16,767 at peak, 16,795 added, 58 deleted).
% 0.77/0.97 ; Trie-index has 4,436 entries (4,447 at peak, 4,465 added, 29 deleted).
% 0.77/0.97 ; Trie-index has 24,393 nodes (24,444 at peak, 24,518 added, 125 deleted).
% 0.77/0.97 ; Retrieved 1,585 generalization terms in 4,626 calls.
% 0.77/0.97 ; Retrieved 1,477 instance terms in 1,376 calls.
% 0.77/0.97 ; Retrieved 84,257 unifiable terms in 3,698 calls.
% 0.77/0.97 ;
% 0.77/0.97 ; The agenda of input rows to give has 70 entries:
% 0.77/0.97 ; 5 with value 22 2 with value 32 2 with value 46
% 0.77/0.97 ; 4 with value 23 2 with value 33 2 with value 56
% 0.77/0.97 ; 2 with value 24 1 with value 34 2 with value 62
% 0.77/0.97 ; 7 with value 26 3 with value 35 1 with value 65
% 0.77/0.97 ; 9 with value 27 4 with value 38 1 with value 82
% 0.77/0.97 ; 2 with value 28 3 with value 40 2 with value 85
% 0.77/0.97 ; 6 with value 29 5 with value 41 1 with value 88
% 0.77/0.97 ; 2 with value 30 1 with value 42 1 with value 90
% 0.77/0.97 ; The agenda of rows to give has 1469 entries:
% 0.77/0.97 ; 7 with value (4 6) 59 with value (4 22) 6 with value (4 37)
% 0.77/0.97 ; 12 with value (4 7) 40 with value (4 23) 4 with value (4 38)
% 0.77/0.97 ; 14 with value (4 8) 30 with value (4 24) 2 with value (4 39)
% 0.77/0.97 ; 30 with value (4 9) 35 with value (4 25) 9 with value (4 40)
% 0.77/0.97 ; 67 with value (4 10) 23 with value (4 26) 2 with value (4 41)
% 0.77/0.97 ; 24 with value (4 11) 33 with value (4 27) 7 with value (4 43)
% 0.77/0.97 ; 96 with value (4 12) 24 with value (4 28) 4 with value (4 44)
% 0.77/0.97 ; 77 with value (4 13) 22 with value (4 29) 3 with value (4 45)
% 0.77/0.97 ; 84 with value (4 14) 21 with value (4 30) 1 with value (4 47)
% 0.77/0.97 ; 115 with value (4 15) 19 with value (4 31) 2 with value (4 48)
% 0.77/0.97 ; 129 with value (4 16) 31 with value (4 32) 2 with value (4 49)
% 0.77/0.97 ; 87 with value (4 17) 11 with value (4 33) 1 with value (4 51)
% 0.77/0.97 ; 102 with value (4 18) 8 with value (4 34) 1 with value (4 54)
% 0.77/0.97 ; 74 with value (4 19) 14 with value (4 35) 1 with value (4 57)
% 0.77/0.97 ; 81 with value (4 20) 6 with value (4 36) 1 with value (4 61)
% 0.77/0.97 ; 48 with value (4 21)
% 0.77/0.97 Evaluation took:
% 0.77/0.97 0.498 seconds of real time
% 0.77/0.97 0.470611 seconds of user run time
% 0.77/0.97 0.026842 seconds of system run time
% 0.77/0.97 [Run times include 0.02 seconds GC run time.]
% 0.77/0.97 0 calls to %EVAL
% 0.77/0.97 0 page faults and
% 0.77/0.97 36,962,624 bytes consed.
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T09:04:26
% 0.77/0.97 :PROOF-FOUND
% 0.77/0.97 *
%------------------------------------------------------------------------------