%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 22:10:28 EDT 2022
% Result : Unsatisfiable 2.05s 2.29s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 2 nHn; 6 RR)
% Number of literals : 15 ( 7 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_rev__swap_0,axiom,
X = c_List_Orev(c_List_Orev(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_0) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(X,Y,Z),U,Z) = c_List_Oappend(X,c_List_Oappend(Y,U,Z),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__assoc_0) ).
cnf(cls_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X,Y),c_List_Olist_OCons(Z,c_List_Olist_ONil(Y),Y),Y),Y) = c_List_Olist_OCons(Z,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(X,c_List_Olist_ONil(Y),Y),Y) = c_List_Olist_OCons(X,c_List_Olist_ONil(Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).
cnf(cls_third__alt_0,axiom,
( c_List_Odistinct(c_List_Olist_OCons(X,c_List_Olist_OCons(Y,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X,Y),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_third__alt_0) ).
cnf(510,plain,
( c_List_Odistinct(c_List_Orev(c_List_Oappend(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X,Y),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Oappend(c_List_Olist_OCons(Y,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Olist_OCons(X,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| X = Y ),
inference('REWRITE',[status(thm)],[cls_third__alt_0,cls_append__assoc_0,cls_rev__swap_0,cls_rev__singleton__conv_1,cls_rev__eq__Cons__iff_1,theory(equality)]) ).
cnf(cls_CHAINED_0_01,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(524,plain,
~ c_List_Odistinct(c_List_Orev(c_List_Oappend(c_List_Oappend(c_List_Olist_OCons(X,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Olist_OCons(v_b____,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Olist_OCons(v_a____,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_rev__swap_0,cls_rev__singleton__conv_1,cls_rev__eq__Cons__iff_1,cls_conjecture_0,theory(equality)]) ).
cnf(2977,plain,
~ c_List_Odistinct(c_List_Orev(c_List_Oappend(c_List_Olist_OCons(X,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Oappend(c_List_Olist_OCons(v_b____,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_List_Olist_OCons(v_a____,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference('PARAMODULATE',[status(thm)],[524,cls_append__assoc_0,theory(equality)]) ).
cnf(3214,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[510,cls_CHAINED_0_01]),2977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 22:22:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-01T22:22:00
% 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 2022-07-01T22:22:00
% 0.19/0.59
% 0.19/0.59 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.05/2.29 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.05/2.29
% 2.05/2.29 #||
% 2.05/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.05/2.29 % SZS output start Refutation
% See solution above
% 2.05/2.29 ||#
% 2.05/2.29
% 2.05/2.29 ; Summary of computation:
% 2.05/2.29 ; 9658 formulas have been input or derived (from 524 formulas).
% 2.05/2.29 ; 3214 (33%) were retained. Of these,
% 2.05/2.29 ; 514 (16%) were simplified or subsumed later,
% 2.05/2.29 ; 2700 (84%) are still being kept.
% 2.05/2.29 ;
% 2.05/2.29 ; Run time in seconds excluding printing time:
% 2.05/2.29 ; 0.110 6% Read assertion file (1 call)
% 2.05/2.29 ; 0.012 1% Assert (666 calls)
% 2.05/2.29 ; 0.346 19% Process new row (8,858 calls)
% 2.05/2.29 ; 0.184 10% Resolution (1,046 calls)
% 2.05/2.29 ; 0.050 3% Paramodulation (523 calls)
% 2.05/2.29 ; 0.000 0% Factoring (32 calls)
% 2.05/2.29 ; 0.042 2% Condensing (3,437 calls)
% 2.05/2.29 ; 0.255 14% Forward subsumption (3,437 calls)
% 2.05/2.29 ; 0.062 3% Backward subsumption (1,749 calls)
% 2.05/2.29 ; 0.104 6% Clause clause subsumption (9,839 calls)
% 2.05/2.29 ; 0.288 16% Forward simplification (8,529 calls)
% 2.05/2.29 ; 0.094 5% Backward simplification (3,190 calls)
% 2.05/2.29 ; 0.212 12% Ordering (27,017 calls)
% 2.05/2.29 ; 0.001 0% Sortal reasoning (32 calls)
% 2.05/2.29 ; 0.001 0% Purity testing (1 call)
% 2.05/2.29 ; 0.054 3% Other
% 2.05/2.29 ; 1.815 Total
% 2.05/2.29 ; 1.821 Real time
% 2.05/2.29 ;
% 2.05/2.29 ; Term-hash-array has 7,885 terms in all.
% 2.05/2.29 ; Feature-vector-row-index has 1,587 entries (1,587 at peak, 1,749 added, 162 deleted).
% 2.05/2.29 ; Feature-vector-row-index has 9,616 nodes (9,616 at peak, 10,829 added, 1,213 deleted).
% 2.05/2.29 ; Retrieved 17,240 possibly forward subsuming rows in 3,437 calls.
% 2.05/2.29 ; Retrieved 929 possibly backward subsumed rows in 1,749 calls.
% 2.05/2.29 ; Path-index has 6,524 entries (6,524 at peak, 8,147 added, 1,623 deleted).
% 2.05/2.29 ; Path-index has 38,129 nodes (38,129 at peak, 44,466 added, 6,337 deleted).
% 2.05/2.29 ; Trie-index has 6,524 entries (6,524 at peak, 8,147 added, 1,623 deleted).
% 2.05/2.29 ; Trie-index has 47,516 nodes (47,516 at peak, 69,016 added, 21,500 deleted).
% 2.05/2.29 ; Retrieved 44,752 generalization terms in 59,216 calls.
% 2.05/2.29 ; Retrieved 4,092 instance terms in 2,068 calls.
% 2.05/2.29 ; Retrieved 296,228 unifiable terms in 5,686 calls.
% 2.05/2.29 ;
% 2.05/2.29 ; The agenda of rows to process has 23 entries:
% 2.05/2.29 ; 3 with value 32 3 with value 36 2 with value 41
% 2.05/2.29 ; 1 with value 33 2 with value 38 1 with value 61
% 2.05/2.29 ; 2 with value 34 2 with value 39 1 with value 65
% 2.05/2.29 ; 1 with value 35 4 with value 40 1 with value 75
% 2.05/2.29 ; The agenda of input rows to give has 35 entries:
% 2.05/2.29 ; 2 with value 35 1 with value 47 1 with value 59
% 2.05/2.29 ; 2 with value 36 3 with value 48 1 with value 61
% 2.05/2.29 ; 1 with value 37 1 with value 49 1 with value 66
% 2.05/2.29 ; 3 with value 38 1 with value 51 1 with value 82
% 2.05/2.29 ; 2 with value 39 1 with value 52 1 with value 84
% 2.05/2.29 ; 1 with value 41 1 with value 56 1 with value 100
% 2.05/2.29 ; 1 with value 42 1 with value 57 1 with value 101
% 2.05/2.29 ; 3 with value 43 1 with value 58 1 with value 149
% 2.05/2.29 ; 2 with value 46
% 2.05/2.29 ; The agenda of rows to give has 2183 entries:
% 2.05/2.29 ; 3 with value (4 4) 39 with value (4 38) 6 with value (4 74)
% 2.05/2.29 ; 3 with value (4 6) 27 with value (4 39) 5 with value (4 75)
% 2.05/2.29 ; 2 with value (4 7) 33 with value (4 40) 1 with value (4 77)
% 2.05/2.29 ; 7 with value (4 8) 33 with value (4 41) 3 with value (4 78)
% 2.05/2.29 ; 10 with value (4 9) 18 with value (4 42) 2 with value (4 79)
% 2.05/2.29 ; 14 with value (4 10) 20 with value (4 43) 1 with value (4 80)
% 2.05/2.29 ; 23 with value (4 11) 13 with value (4 44) 1 with value (4 81)
% 2.05/2.29 ; 37 with value (4 12) 11 with value (4 45) 1 with value (4 82)
% 2.05/2.29 ; 39 with value (4 13) 22 with value (4 46) 2 with value (4 86)
% 2.05/2.29 ; 46 with value (4 14) 13 with value (4 47) 1 with value (4 88)
% 2.05/2.29 ; 67 with value (4 15) 6 with value (4 48) 1 with value (4 91)
% 2.05/2.29 ; 73 with value (4 16) 8 with value (4 49) 1 with value (4 92)
% 2.05/2.29 ; 52 with value (4 17) 9 with value (4 50) 2 with value (4 94)
% 2.05/2.29 ; 70 with value (4 18) 3 with value (4 51) 1 with value (4 95)
% 2.05/2.29 ; 77 with value (4 19) 9 with value (4 52) 2 with value (4 97)
% 2.05/2.29 ; 62 with value (4 20) 12 with value (4 53) 1 with value (4 99)
% 2.05/2.29 ; 68 with value (4 21) 7 with value (4 54) 1 with value (4 102)
% 2.05/2.29 ; 85 with value (4 22) 10 with value (4 55) 1 with value (4 103)
% 2.05/2.29 ; 85 with value (4 23) 9 with value (4 56) 1 with value (4 106)
% 2.05/2.29 ; 77 with value (4 24) 4 with value (4 57) 1 with value (4 108)
% 2.05/2.29 ; 65 with value (4 25) 5 with value (4 58) 1 with value (4 112)
% 2.05/2.29 ; 137 with value (4 26) 2 with value (4 59) 1 with value (4 115)
% 2.05/2.29 ; 67 with value (4 27) 7 with value (4 60) 2 with value (4 118)
% 2.05/2.29 ; 77 with value (4 28) 8 with value (4 61) 1 with value (4 131)
% 2.05/2.29 ; 75 with value (4 29) 7 with value (4 62) 1 with value (4 135)
% 2.05/2.29 ; 96 with value (4 30) 4 with value (4 63) 1 with value (4 150)
% 2.05/2.29 ; 51 with value (4 31) 3 with value (4 64) 1 with value (4 155)
% 2.05/2.29 ; 61 with value (4 32) 3 with value (4 66) 1 with value (4 158)
% 2.05/2.29 ; 65 with value (4 33) 2 with value (4 67) 1 with value (4 162)
% 2.05/2.29 ; 50 with value (4 34) 1 with value (4 68) 2 with value (4 168)
% 2.05/2.29 ; 52 with value (4 35) 1 with value (4 70) 1 with value (4 203)
% 2.05/2.29 ; 36 with value (4 36) 1 with value (4 71) 1 with value (4 224)
% 2.05/2.29 ; 49 with value (4 37) 1 with value (4 73) 2 with value (4 284)
% 2.05/2.29 Evaluation took:
% 2.05/2.29 1.822 seconds of real time
% 2.05/2.29 1.6834 seconds of user run time
% 2.05/2.29 0.134328 seconds of system run time
% 2.05/2.29 [Run times include 0.208 seconds GC run time.]
% 2.05/2.29 0 calls to %EVAL
% 2.05/2.29 0 page faults and
% 2.05/2.29 141,984,240 bytes consed.
% 2.05/2.29 :PROOF-FOUND
% 2.05/2.29 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T22:22:02
% 2.05/2.29 :PROOF-FOUND
% 2.05/2.29 *
%------------------------------------------------------------------------------