TSTP Solution File: LCL438-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL438-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:22:54 EDT 2022
% Result : Unsatisfiable 0.90s 1.18s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 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 : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X,U,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| c_in(U,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X,c_PropLog_Opl_Oop_A_N_62(Y,Z,U),U),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X,Y,U),c_PropLog_Opl_Oop_A_N_62(X,Z,U),U),U),c_PropLog_Othms(V,U),tc_PropLog_Opl(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,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_1) ).
cnf(cls_conjecture_3,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(2632,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,cls_conjecture_1,cls_PropLog_Othms_OS_0]) ).
cnf(2633,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,cls_conjecture_3,cls_conjecture_4]),2632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL438-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 11:53:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-02T11:53:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-02T11:53:19
% 0.45/0.67
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.70 WARNING:
% 0.45/0.70 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70 WARNING:
% 0.53/0.70 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.18 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.90/1.18
% 0.90/1.18 #||
% 0.90/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.18 % SZS output start Refutation
% See solution above
% 0.90/1.18 ||#
% 0.90/1.18
% 0.90/1.18 ; Summary of computation:
% 0.90/1.18 ; 6048 formulas have been input or derived (from 541 formulas).
% 0.90/1.18 ; 2633 (44%) were retained. Of these,
% 0.90/1.18 ; 25 ( 1%) were simplified or subsumed later,
% 0.90/1.18 ; 2608 (99%) are still being kept.
% 0.90/1.18 ;
% 0.90/1.18 ; Run time in seconds:
% 0.90/1.18 ; 0.177 25% Read assertion file (1 call)
% 0.90/1.18 ; 0.028 4% Assert (1,378 calls)
% 0.90/1.18 ; 0.202 29% Process new row (5,271 calls)
% 0.90/1.18 ; 0.091 13% Resolution (1,080 calls)
% 0.90/1.18 ; 0.001 0% Paramodulation (540 calls)
% 0.90/1.18 ; 0.001 0% Factoring (8 calls)
% 0.90/1.18 ; 0.012 2% Condensing (800 calls)
% 0.90/1.18 ; 0.017 2% Forward subsumption (800 calls)
% 0.90/1.18 ; 0.037 5% Backward subsumption (768 calls)
% 0.90/1.18 ; 0.004 1% Clause clause subsumption (375 calls)
% 0.90/1.18 ; 0.045 6% Forward simplification (4,505 calls)
% 0.90/1.18 ; 0.018 3% Backward simplification (2,632 calls)
% 0.90/1.18 ; 0.005 1% Ordering (921 calls)
% 0.90/1.18 ; 0.001 0% Sortal reasoning (32 calls)
% 0.90/1.18 ; 0.012 2% Purity testing (1 call)
% 0.90/1.18 ; 0.051 7% Other
% 0.90/1.18 ; 0.702 Total
% 0.90/1.18 ; 0.704 Real time
% 0.90/1.18 ;
% 0.90/1.18 ; Term-hash-array has 5,967 terms in all.
% 0.90/1.18 ; Feature-vector-row-index has 763 entries (763 at peak, 768 added, 5 deleted).
% 0.90/1.18 ; Feature-vector-row-index has 2,893 nodes (2,893 at peak, 2,921 added, 28 deleted).
% 0.90/1.18 ; Retrieved 940 possibly forward subsuming rows in 800 calls.
% 0.90/1.18 ; Retrieved 519 possibly backward subsumed rows in 768 calls.
% 0.90/1.18 ; Path-index has 5,953 entries (5,953 at peak, 5,995 added, 42 deleted).
% 0.90/1.18 ; Path-index has 21,682 nodes (21,682 at peak, 21,722 added, 40 deleted).
% 0.90/1.18 ; Trie-index has 5,953 entries (5,953 at peak, 5,995 added, 42 deleted).
% 0.90/1.18 ; Trie-index has 36,431 nodes (36,431 at peak, 36,624 added, 193 deleted).
% 0.90/1.18 ; Retrieved 2,437 generalization terms in 6,577 calls.
% 0.90/1.18 ; Retrieved 2,060 instance terms in 1,865 calls.
% 0.90/1.18 ; Retrieved 126,866 unifiable terms in 4,798 calls.
% 0.90/1.18 ;
% 0.90/1.18 ; The agenda of rows to process has 20 entries:
% 0.90/1.18 ; 2 with value 20 1 with value 25 1 with value 34
% 0.90/1.18 ; 7 with value 21 1 with value 27 1 with value 37
% 0.90/1.18 ; 1 with value 22 1 with value 28 1 with value 40
% 0.90/1.18 ; 2 with value 24 1 with value 30 1 with value 41
% 0.90/1.18 ; The agenda of input rows to give has 33 entries:
% 0.90/1.18 ; 2 with value 32 5 with value 41 1 with value 65
% 0.90/1.18 ; 2 with value 33 1 with value 42 1 with value 82
% 0.90/1.18 ; 1 with value 34 2 with value 46 2 with value 85
% 0.90/1.18 ; 3 with value 35 2 with value 56 1 with value 88
% 0.90/1.18 ; 4 with value 38 2 with value 62 1 with value 90
% 0.90/1.18 ; 3 with value 40
% 0.90/1.18 ; The agenda of rows to give has 2034 entries:
% 0.90/1.18 ; 7 with value (4 6) 49 with value (4 25) 6 with value (4 44)
% 0.90/1.18 ; 12 with value (4 7) 45 with value (4 26) 4 with value (4 45)
% 0.90/1.18 ; 14 with value (4 8) 47 with value (4 27) 4 with value (4 46)
% 0.90/1.18 ; 30 with value (4 9) 37 with value (4 28) 3 with value (4 47)
% 0.90/1.18 ; 71 with value (4 10) 49 with value (4 29) 6 with value (4 48)
% 0.90/1.18 ; 28 with value (4 11) 31 with value (4 30) 3 with value (4 49)
% 0.90/1.18 ; 97 with value (4 12) 32 with value (4 31) 1 with value (4 50)
% 0.90/1.18 ; 79 with value (4 13) 35 with value (4 32) 1 with value (4 51)
% 0.90/1.18 ; 93 with value (4 14) 21 with value (4 33) 2 with value (4 52)
% 0.90/1.18 ; 142 with value (4 15) 30 with value (4 34) 1 with value (4 53)
% 0.90/1.18 ; 148 with value (4 16) 25 with value (4 35) 1 with value (4 54)
% 0.90/1.18 ; 140 with value (4 17) 15 with value (4 36) 1 with value (4 56)
% 0.90/1.18 ; 182 with value (4 18) 17 with value (4 37) 1 with value (4 57)
% 0.90/1.18 ; 96 with value (4 19) 6 with value (4 38) 2 with value (4 58)
% 0.90/1.18 ; 107 with value (4 20) 13 with value (4 39) 1 with value (4 59)
% 0.90/1.18 ; 70 with value (4 21) 20 with value (4 40) 4 with value (4 61)
% 0.90/1.18 ; 82 with value (4 22) 6 with value (4 41) 1 with value (4 62)
% 0.90/1.18 ; 55 with value (4 23) 5 with value (4 42) 2 with value (4 66)
% 0.90/1.18 ; 43 with value (4 24) 11 with value (4 43)
% 0.90/1.18 Evaluation took:
% 0.90/1.18 0.705 seconds of real time
% 0.90/1.18 0.640329 seconds of user run time
% 0.90/1.18 0.062896 seconds of system run time
% 0.90/1.18 [Run times include 0.044 seconds GC run time.]
% 0.90/1.18 0 calls to %EVAL
% 0.90/1.18 0 page faults and
% 0.90/1.18 47,634,496 bytes consed.
% 0.90/1.18 :PROOF-FOUND
% 0.90/1.18 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T11:53:19
% 0.90/1.18 :PROOF-FOUND
% 0.90/1.18 *
%------------------------------------------------------------------------------