TSTP Solution File: LCL826-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL826-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:26:28 EDT 2022
% Result : Unsatisfiable 2.09s 2.29s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Cons_I1_J_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X),Y)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,Z),X),v_T____))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),Z),Y),v_T____)),v_a____),U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(3364,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_Cons_I1_J_0,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL826-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sun Jul 3 23:35:43 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.17/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 *
% 0.17/0.42 *
% 0.17/0.43 #<PACKAGE "SNARK-USER">
% 0.17/0.43 *
% 0.17/0.43 SNARK-TPTP-OPTIONS
% 0.17/0.43 *
% 0.17/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43 (USE-FACTORING :POS)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43 *
% 0.17/0.43 "."
% 0.17/0.43 *
% 0.17/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T23:35:43
% 0.17/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-03T23:35:43
% 0.36/0.53
% 0.36/0.53 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54 WARNING:
% 0.37/0.54 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.09/2.29 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.09/2.29
% 2.09/2.29 #||
% 2.09/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.09/2.29 % SZS output start Refutation
% See solution above
% 2.09/2.29 ||#
% 2.09/2.29
% 2.09/2.29 ; Summary of computation:
% 2.09/2.29 ; 7853 formulas have been input or derived (from 310 formulas).
% 2.09/2.29 ; 3364 (43%) were retained. Of these,
% 2.09/2.29 ; 90 ( 3%) were simplified or subsumed later,
% 2.09/2.29 ; 3274 (97%) are still being kept.
% 2.09/2.29 ;
% 2.09/2.29 ; Run time in seconds:
% 2.09/2.29 ; 0.093 5% Read assertion file (1 call)
% 2.09/2.29 ; 0.007 0% Assert (413 calls)
% 2.09/2.29 ; 0.524 28% Process new row (7,067 calls)
% 2.09/2.29 ; 0.122 7% Resolution (618 calls)
% 2.09/2.29 ; 0.064 3% Paramodulation (309 calls)
% 2.09/2.29 ; 0.000 0% Factoring (8 calls)
% 2.09/2.29 ; 0.039 2% Condensing (3,347 calls)
% 2.09/2.29 ; 0.390 21% Forward subsumption (3,347 calls)
% 2.09/2.29 ; 0.071 4% Backward subsumption (1,960 calls)
% 2.09/2.29 ; 0.046 2% Clause clause subsumption (9,788 calls)
% 2.09/2.29 ; 0.312 17% Forward simplification (7,037 calls)
% 2.09/2.29 ; 0.036 2% Backward simplification (3,352 calls)
% 2.09/2.29 ; 0.109 6% Ordering (22,485 calls)
% 2.09/2.29 ; 0.000 0% Sortal reasoning (32 calls)
% 2.09/2.29 ; 0.001 0% Purity testing (1 call)
% 2.09/2.29 ; 0.051 3% Other
% 2.09/2.29 ; 1.865 Total
% 2.09/2.29 ; 1.866 Real time
% 2.09/2.29 ;
% 2.09/2.29 ; Term-hash-array has 12,283 terms in all.
% 2.09/2.29 ; Feature-vector-row-index has 1,937 entries (1,937 at peak, 1,960 added, 23 deleted).
% 2.09/2.29 ; Feature-vector-row-index has 18,418 nodes (18,418 at peak, 18,644 added, 226 deleted).
% 2.09/2.29 ; Retrieved 14,767 possibly forward subsuming rows in 3,347 calls.
% 2.09/2.29 ; Retrieved 923 possibly backward subsumed rows in 1,960 calls.
% 2.09/2.29 ; Path-index has 12,142 entries (12,142 at peak, 12,381 added, 239 deleted).
% 2.09/2.29 ; Path-index has 43,115 nodes (43,115 at peak, 43,358 added, 243 deleted).
% 2.09/2.29 ; Trie-index has 12,142 entries (12,142 at peak, 12,381 added, 239 deleted).
% 2.09/2.29 ; Trie-index has 73,859 nodes (73,859 at peak, 75,079 added, 1,220 deleted).
% 2.09/2.29 ; Retrieved 31,590 generalization terms in 59,538 calls.
% 2.09/2.29 ; Retrieved 3,445 instance terms in 2,001 calls.
% 2.09/2.29 ; Retrieved 172,208 unifiable terms in 3,638 calls.
% 2.09/2.29 ;
% 2.09/2.29 ; The agenda of rows to process has 35 entries:
% 2.09/2.29 ; 1 with value 7 6 with value 63 1 with value 71
% 2.09/2.29 ; 1 with value 13 1 with value 64 2 with value 75
% 2.09/2.29 ; 4 with value 16 4 with value 65 2 with value 78
% 2.09/2.29 ; 1 with value 24 2 with value 66 2 with value 81
% 2.09/2.29 ; 2 with value 60 2 with value 67 1 with value 87
% 2.09/2.29 ; 1 with value 61 2 with value 68
% 2.09/2.29 ; The agenda of input rows to give has 6 entries:
% 2.09/2.29 ; 1 with value 59 1 with value 64 1 with value 1001
% 2.09/2.29 ; 1 with value 60 2 with value 72
% 2.09/2.29 ; The agenda of rows to give has 2958 entries:
% 2.09/2.29 ; 3 with value (4 6) 87 with value (4 36) 6 with value (4 66)
% 2.09/2.29 ; 4 with value (4 7) 110 with value (4 37) 7 with value (4 67)
% 2.09/2.29 ; 7 with value (4 8) 83 with value (4 38) 10 with value (4 68)
% 2.09/2.29 ; 9 with value (4 9) 65 with value (4 39) 9 with value (4 69)
% 2.09/2.29 ; 8 with value (4 10) 54 with value (4 40) 2 with value (4 70)
% 2.09/2.29 ; 12 with value (4 11) 66 with value (4 41) 2 with value (4 71)
% 2.09/2.29 ; 6 with value (4 12) 91 with value (4 42) 2 with value (4 72)
% 2.09/2.29 ; 15 with value (4 13) 69 with value (4 43) 3 with value (4 73)
% 2.09/2.29 ; 14 with value (4 14) 62 with value (4 44) 5 with value (4 74)
% 2.09/2.29 ; 34 with value (4 15) 58 with value (4 45) 1 with value (4 75)
% 2.09/2.29 ; 30 with value (4 16) 58 with value (4 46) 5 with value (4 76)
% 2.09/2.29 ; 27 with value (4 17) 35 with value (4 47) 1 with value (4 77)
% 2.09/2.29 ; 63 with value (4 18) 57 with value (4 48) 5 with value (4 78)
% 2.09/2.29 ; 37 with value (4 19) 36 with value (4 49) 2 with value (4 80)
% 2.09/2.29 ; 47 with value (4 20) 30 with value (4 50) 2 with value (4 81)
% 2.09/2.29 ; 64 with value (4 21) 38 with value (4 51) 5 with value (4 82)
% 2.09/2.29 ; 80 with value (4 22) 26 with value (4 52) 2 with value (4 83)
% 2.09/2.29 ; 61 with value (4 23) 35 with value (4 53) 2 with value (4 84)
% 2.09/2.29 ; 64 with value (4 24) 32 with value (4 54) 1 with value (4 86)
% 2.09/2.29 ; 88 with value (4 25) 28 with value (4 55) 4 with value (4 87)
% 2.09/2.29 ; 102 with value (4 26) 13 with value (4 56) 1 with value (4 88)
% 2.13/2.29 ; 59 with value (4 27) 18 with value (4 57) 4 with value (4 89)
% 2.13/2.29 ; 104 with value (4 28) 16 with value (4 58) 3 with value (4 90)
% 2.13/2.29 ; 95 with value (4 29) 16 with value (4 59) 1 with value (4 91)
% 2.13/2.29 ; 82 with value (4 30) 23 with value (4 60) 2 with value (4 92)
% 2.13/2.29 ; 78 with value (4 31) 13 with value (4 61) 2 with value (4 93)
% 2.13/2.29 ; 102 with value (4 32) 15 with value (4 62) 1 with value (4 94)
% 2.13/2.30 ; 109 with value (4 33) 13 with value (4 63) 2 with value (4 95)
% 2.13/2.30 ; 79 with value (4 34) 22 with value (4 64) 1 with value (4 96)
% 2.13/2.30 ; 93 with value (4 35) 19 with value (4 65) 1 with value (4 116)
% 2.13/2.30 Evaluation took:
% 2.13/2.30 1.868 seconds of real time
% 2.13/2.30 1.754586 seconds of user run time
% 2.13/2.30 0.113131 seconds of system run time
% 2.13/2.30 [Run times include 0.258 seconds GC run time.]
% 2.13/2.30 0 calls to %EVAL
% 2.13/2.30 0 page faults and
% 2.13/2.30 160,050,056 bytes consed.
% 2.13/2.30 :PROOF-FOUND
% 2.13/2.30 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T23:35:45
% 2.13/2.30 :PROOF-FOUND
% 2.13/2.30 *
%------------------------------------------------------------------------------