TSTP Solution File: SCT004-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SCT004-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Mon Jul 18 22:10:16 EDT 2022
% Result : Unsatisfiable 1.98s 2.19s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 10 RR)
% Number of literals : 26 ( 5 equ; 12 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(X,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(Y,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(594,plain,
~ hBOOL(c_in(c_Pair(X,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference('CONDENSE',[status(thm)],[cls_conjecture_3]) ).
cnf(cls_conjecture_8,negated_conjecture,
( v_x != v_xa
| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(596,plain,
v_x != v_xa,
inference('REWRITE',[status(thm)],[cls_conjecture_8,cls_conjecture_0,594]) ).
cnf(cls_conjecture_13,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
cnf(600,plain,
~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference('REWRITE',[status(thm)],[cls_conjecture_13,cls_conjecture_0,594]) ).
cnf(cls_conjecture_15,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).
cnf(602,plain,
~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference('REWRITE',[status(thm)],[cls_conjecture_15,cls_conjecture_0,594]) ).
cnf(cls_conjecture_17,negated_conjecture,
( hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(Y,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| X = Y
| hBOOL(c_in(c_Pair(Z,U,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(U,Z,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| U = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).
cnf(604,plain,
( hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(Y,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| X = Y ),
inference('CONDENSE',[status(thm)],[cls_conjecture_17]) ).
cnf(3024,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[604,600,602,596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT004-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 : Fri Jul 1 22:07:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T22:07:19
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-01T22:07:19
% 0.47/0.66 WARNING:
% 0.47/0.66 |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |c_Wellfounded_OwfP| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |c_Equiv__Relations_Ocongruent| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 1.98/2.19
% 1.98/2.19
% 1.98/2.19 #||
% 1.98/2.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.98/2.19 % SZS output start Refutation
% See solution above
% 1.98/2.19 ||#
% 1.98/2.19
% 1.98/2.19 ; Summary of computation:
% 1.98/2.19 ; 6694 formulas have been input or derived (from 447 formulas).
% 1.98/2.19 ; 3024 (45%) were retained. Of these,
% 1.98/2.19 ; 226 ( 7%) were simplified or subsumed later,
% 1.98/2.19 ; 2798 (93%) are still being kept.
% 1.98/2.19 ;
% 1.98/2.19 ; Run time in seconds excluding printing time:
% 1.98/2.19 ; 0.149 9% Read assertion file (1 call)
% 1.98/2.19 ; 0.013 1% Assert (697 calls)
% 1.98/2.19 ; 0.474 28% Process new row (6,007 calls)
% 1.98/2.19 ; 0.156 9% Resolution (892 calls)
% 1.98/2.19 ; 0.055 3% Paramodulation (446 calls)
% 1.98/2.19 ; 0.000 0% Factoring (12 calls)
% 1.98/2.19 ; 0.026 2% Condensing (1,804 calls)
% 1.98/2.19 ; 0.182 11% Forward subsumption (1,803 calls)
% 1.98/2.19 ; 0.047 3% Backward subsumption (1,494 calls)
% 1.98/2.19 ; 0.010 1% Clause clause subsumption (3,150 calls)
% 1.98/2.19 ; 0.270 16% Forward simplification (5,975 calls)
% 1.98/2.19 ; 0.062 4% Backward simplification (2,999 calls)
% 1.98/2.19 ; 0.209 12% Ordering (23,684 calls)
% 1.98/2.19 ; 0.000 0% Sortal reasoning (32 calls)
% 1.98/2.19 ; 0.002 0% Purity testing (1 call)
% 1.98/2.19 ; 0.054 3% Other
% 1.98/2.19 ; 1.709 Total
% 1.98/2.19 ; 1.711 Real time
% 1.98/2.19 ;
% 1.98/2.19 ; Term-hash-array has 9,158 terms in all.
% 1.98/2.19 ; Feature-vector-row-index has 1,428 entries (1,428 at peak, 1,494 added, 66 deleted).
% 1.98/2.19 ; Feature-vector-row-index has 10,832 nodes (10,832 at peak, 11,636 added, 804 deleted).
% 1.98/2.19 ; Retrieved 5,105 possibly forward subsuming rows in 1,803 calls.
% 1.98/2.19 ; Retrieved 965 possibly backward subsumed rows in 1,494 calls.
% 1.98/2.19 ; Path-index has 8,730 entries (8,730 at peak, 9,301 added, 571 deleted).
% 1.98/2.19 ; Path-index has 53,590 nodes (53,590 at peak, 55,255 added, 1,665 deleted).
% 1.98/2.19 ; Trie-index has 8,730 entries (8,730 at peak, 9,301 added, 571 deleted).
% 1.98/2.19 ; Trie-index has 81,037 nodes (81,037 at peak, 89,431 added, 8,394 deleted).
% 1.98/2.19 ; Retrieved 41,845 generalization terms in 38,772 calls.
% 1.98/2.19 ; Retrieved 4,318 instance terms in 1,837 calls.
% 1.98/2.19 ; Retrieved 152,209 unifiable terms in 4,662 calls.
% 1.98/2.19 ;
% 1.98/2.19 ; The agenda of rows to process has 167 entries:
% 1.98/2.19 ; 4 with value 5 2 with value 36 2 with value 56
% 1.98/2.19 ; 1 with value 14 6 with value 39 8 with value 60
% 1.98/2.19 ; 4 with value 15 4 with value 40 8 with value 61
% 1.98/2.19 ; 4 with value 19 16 with value 42 8 with value 63
% 1.98/2.19 ; 2 with value 24 2 with value 43 4 with value 64
% 1.98/2.19 ; 4 with value 29 2 with value 44 8 with value 67
% 1.98/2.19 ; 10 with value 30 6 with value 46 2 with value 68
% 1.98/2.19 ; 3 with value 32 4 with value 47 10 with value 72
% 1.98/2.19 ; 6 with value 33 6 with value 48 4 with value 81
% 1.98/2.19 ; 4 with value 34 5 with value 49 8 with value 106
% 1.98/2.19 ; 4 with value 35 2 with value 54 4 with value 139
% 1.98/2.19 ; The agenda of input rows to give has 134 entries:
% 1.98/2.19 ; 2 with value 32 3 with value 43 1 with value 54
% 1.98/2.19 ; 9 with value 33 3 with value 44 1 with value 56
% 1.98/2.19 ; 5 with value 34 4 with value 45 1 with value 57
% 1.98/2.19 ; 14 with value 35 10 with value 46 2 with value 59
% 1.98/2.19 ; 9 with value 36 3 with value 47 3 with value 63
% 1.98/2.19 ; 9 with value 37 6 with value 48 1 with value 64
% 1.98/2.19 ; 7 with value 38 5 with value 49 1 with value 68
% 1.98/2.19 ; 9 with value 39 4 with value 50 1 with value 69
% 1.98/2.19 ; 7 with value 40 6 with value 51 1 with value 77
% 1.98/2.19 ; 4 with value 41 1 with value 52 1 with value 84
% 1.98/2.19 ; 1 with value 42
% 1.98/2.19 ; The agenda of rows to give has 2224 entries:
% 1.98/2.19 ; 2 with value (4 5) 49 with value (4 37) 7 with value (4 69)
% 1.98/2.19 ; 4 with value (4 6) 55 with value (4 38) 4 with value (4 70)
% 1.98/2.19 ; 13 with value (4 7) 100 with value (4 39) 22 with value (4 71)
% 1.98/2.19 ; 6 with value (4 8) 45 with value (4 40) 5 with value (4 72)
% 1.98/2.19 ; 3 with value (4 9) 38 with value (4 41) 1 with value (4 73)
% 1.98/2.19 ; 5 with value (4 10) 61 with value (4 42) 2 with value (4 74)
% 1.98/2.19 ; 7 with value (4 11) 42 with value (4 43) 8 with value (4 75)
% 1.98/2.19 ; 10 with value (4 12) 69 with value (4 44) 4 with value (4 76)
% 1.98/2.19 ; 16 with value (4 13) 42 with value (4 45) 3 with value (4 77)
% 1.98/2.19 ; 17 with value (4 14) 49 with value (4 46) 5 with value (4 78)
% 1.98/2.19 ; 10 with value (4 15) 17 with value (4 47) 1 with value (4 79)
% 1.98/2.19 ; 22 with value (4 16) 59 with value (4 48) 4 with value (4 81)
% 1.98/2.19 ; 24 with value (4 17) 48 with value (4 49) 9 with value (4 82)
% 1.98/2.19 ; 57 with value (4 18) 24 with value (4 50) 4 with value (4 83)
% 1.98/2.19 ; 28 with value (4 19) 28 with value (4 51) 11 with value (4 84)
% 1.98/2.19 ; 25 with value (4 20) 18 with value (4 52) 1 with value (4 85)
% 1.98/2.19 ; 45 with value (4 21) 30 with value (4 53) 6 with value (4 86)
% 1.98/2.19 ; 23 with value (4 22) 20 with value (4 54) 4 with value (4 87)
% 1.98/2.19 ; 55 with value (4 23) 42 with value (4 55) 4 with value (4 89)
% 1.98/2.19 ; 33 with value (4 24) 20 with value (4 56) 4 with value (4 90)
% 1.98/2.19 ; 34 with value (4 25) 25 with value (4 57) 4 with value (4 91)
% 1.98/2.19 ; 63 with value (4 26) 6 with value (4 58) 1 with value (4 95)
% 1.98/2.19 ; 45 with value (4 27) 16 with value (4 59) 12 with value (4 101)
% 1.98/2.19 ; 47 with value (4 28) 15 with value (4 60) 2 with value (4 106)
% 1.98/2.19 ; 42 with value (4 29) 5 with value (4 61) 2 with value (4 110)
% 1.98/2.19 ; 21 with value (4 30) 11 with value (4 62) 2 with value (4 114)
% 1.98/2.19 ; 62 with value (4 31) 12 with value (4 63) 4 with value (4 117)
% 1.98/2.19 ; 60 with value (4 32) 10 with value (4 64) 4 with value (4 119)
% 1.98/2.19 ; 48 with value (4 33) 11 with value (4 65) 2 with value (4 121)
% 1.98/2.19 ; 69 with value (4 34) 9 with value (4 66) 4 with value (4 122)
% 1.98/2.19 ; 104 with value (4 35) 5 with value (4 67) 4 with value (4 126)
% 1.98/2.19 ; 91 with value (4 36) 2 with value (4 68)
% 1.98/2.19 Evaluation took:
% 1.98/2.19 1.713 seconds of real time
% 1.98/2.19 1.612945 seconds of user run time
% 1.98/2.19 0.100005 seconds of system run time
% 1.98/2.19 [Run times include 0.249 seconds GC run time.]
% 1.98/2.19 0 calls to %EVAL
% 1.98/2.19 0 page faults and
% 1.98/2.19 119,340,072 bytes consed.
% 1.98/2.19 :PROOF-FOUND
% 1.98/2.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T22:07:21
% 1.98/2.19 :PROOF-FOUND
% 1.98/2.19 *
%------------------------------------------------------------------------------