TSTP Solution File: LAT281-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT281-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 06:43:19 EDT 2022
% Result : Unsatisfiable 9.14s 9.33s
% Output : Refutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 1 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_Otrans__def_0,axiom,
( ~ c_Relation_Otrans(X,Y)
| ~ c_in(c_Pair(Z,U,Y,Y),X,tc_prod(Y,Y))
| ~ c_in(c_Pair(V,Z,Y,Y),X,tc_prod(Y,Y))
| c_in(c_Pair(V,U,Y,Y),X,tc_prod(Y,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).
cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).
cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(3978,plain,
c_Relation_Otrans(v_r,t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_2,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(14781,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Relation_Otrans__def_0,cls_conjecture_1,cls_conjecture_0,cls_conjecture_2]),3978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT281-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.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 : Wed Jun 29 12:53:38 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-29T12:53:38
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-29T12:53:38
% 0.59/0.83
% 0.59/0.85 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.59/0.85 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.68/0.86 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89 WARNING:
% 0.71/0.89 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 9.14/9.33 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 9.14/9.33
% 9.14/9.33 #||
% 9.14/9.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.14/9.33 % SZS output start Refutation
% See solution above
% 9.14/9.33 ||#
% 9.14/9.33
% 9.14/9.33 ; Summary of computation:
% 9.14/9.33 ; 28721 formulas have been input or derived (from 2116 formulas).
% 9.14/9.33 ; 14781 (51%) were retained. Of these,
% 9.14/9.33 ; 2868 (19%) were simplified or subsumed later,
% 9.14/9.33 ; 11913 (81%) are still being kept.
% 9.14/9.33 ;
% 9.14/9.33 ; Run time in seconds excluding printing time:
% 9.14/9.33 ; 0.340 4% Read assertion file (1 call)
% 9.14/9.33 ; 0.040 0% Assert (2,750 calls)
% 9.14/9.33 ; 1.880 21% Process new row (26,521 calls)
% 9.14/9.33 ; 1.537 17% Resolution (4,230 calls)
% 9.14/9.33 ; 0.137 2% Paramodulation (2,115 calls)
% 9.14/9.33 ; 0.000 0% Factoring (69 calls)
% 9.14/9.33 ; 0.173 2% Condensing (10,670 calls)
% 9.14/9.33 ; 1.536 17% Forward subsumption (10,670 calls)
% 9.14/9.33 ; 0.896 10% Backward subsumption (8,930 calls)
% 9.14/9.33 ; 0.086 1% Clause clause subsumption (12,229 calls)
% 9.14/9.33 ; 1.043 12% Forward simplification (25,236 calls)
% 9.14/9.33 ; 0.702 8% Backward simplification (14,637 calls)
% 9.14/9.33 ; 0.323 4% Ordering (41,815 calls)
% 9.14/9.33 ; 0.001 0% Sortal reasoning (32 calls)
% 9.14/9.33 ; 0.016 0% Purity testing (1 call)
% 9.14/9.33 ; 0.143 2% Other
% 9.14/9.33 ; 8.853 Total
% 9.14/9.33 ; 8.854 Real time
% 9.14/9.33 ;
% 9.14/9.34 ; Term-hash-array has 39,137 terms in all.
% 9.14/9.34 ; Feature-vector-row-index has 7,314 entries (7,314 at peak, 8,930 added, 1,616 deleted).
% 9.14/9.34 ; Feature-vector-row-index has 59,044 nodes (59,044 at peak, 75,290 added, 16,246 deleted).
% 9.14/9.34 ; Retrieved 16,595 possibly forward subsuming rows in 10,670 calls.
% 9.14/9.34 ; Retrieved 4,964 possibly backward subsumed rows in 8,930 calls.
% 9.14/9.34 ; Path-index has 32,643 entries (32,643 at peak, 40,421 added, 7,778 deleted).
% 9.14/9.34 ; Path-index has 140,049 nodes (140,049 at peak, 151,214 added, 11,165 deleted).
% 9.14/9.34 ; Trie-index has 32,643 entries (32,643 at peak, 40,421 added, 7,778 deleted).
% 9.14/9.34 ; Trie-index has 244,206 nodes (244,206 at peak, 300,685 added, 56,479 deleted).
% 9.14/9.34 ; Retrieved 66,295 generalization terms in 172,453 calls.
% 9.14/9.34 ; Retrieved 11,786 instance terms in 6,158 calls.
% 9.14/9.34 ; Retrieved 1,473,555 unifiable terms in 22,146 calls.
% 9.14/9.34 ;
% 9.14/9.34 ; The agenda of rows to process has 9 entries:
% 9.14/9.34 ; 1 with value 22 2 with value 45 2 with value 53
% 9.14/9.34 ; 2 with value 43 2 with value 46
% 9.14/9.34 ; The agenda of input rows to give has 75 entries:
% 9.14/9.34 ; 2 with value 40 1 with value 47 2 with value 61
% 9.14/9.34 ; 11 with value 41 1 with value 48 3 with value 62
% 9.14/9.34 ; 4 with value 42 6 with value 49 1 with value 65
% 9.14/9.34 ; 10 with value 43 3 with value 53 1 with value 82
% 9.14/9.34 ; 7 with value 44 1 with value 54 2 with value 85
% 9.14/9.34 ; 7 with value 45 1 with value 55 1 with value 88
% 9.14/9.34 ; 2 with value 46 8 with value 56 1 with value 90
% 9.14/9.34 ; The agenda of rows to give has 9909 entries:
% 9.14/9.34 ; 2 with value (4 4) 108 with value (4 45) 14 with value (4 86)
% 9.14/9.34 ; 12 with value (4 5) 92 with value (4 46) 12 with value (4 87)
% 9.14/9.34 ; 19 with value (4 6) 66 with value (4 47) 11 with value (4 88)
% 9.14/9.34 ; 13 with value (4 7) 102 with value (4 48) 6 with value (4 89)
% 9.14/9.34 ; 38 with value (4 8) 96 with value (4 49) 17 with value (4 90)
% 9.14/9.34 ; 65 with value (4 9) 78 with value (4 50) 5 with value (4 91)
% 9.14/9.34 ; 115 with value (4 10) 70 with value (4 51) 2 with value (4 92)
% 9.14/9.34 ; 78 with value (4 11) 126 with value (4 52) 15 with value (4 93)
% 9.14/9.34 ; 153 with value (4 12) 71 with value (4 53) 3 with value (4 94)
% 9.14/9.34 ; 137 with value (4 13) 55 with value (4 54) 7 with value (4 95)
% 9.14/9.34 ; 194 with value (4 14) 54 with value (4 55) 15 with value (4 96)
% 9.14/9.34 ; 186 with value (4 15) 60 with value (4 56) 9 with value (4 97)
% 9.14/9.34 ; 219 with value (4 16) 42 with value (4 57) 5 with value (4 98)
% 9.14/9.34 ; 234 with value (4 17) 45 with value (4 58) 7 with value (4 99)
% 9.14/9.34 ; 206 with value (4 18) 46 with value (4 59) 3 with value (4 100)
% 9.14/9.34 ; 259 with value (4 19) 64 with value (4 60) 5 with value (4 101)
% 9.14/9.34 ; 285 with value (4 20) 37 with value (4 61) 6 with value (4 102)
% 9.14/9.34 ; 290 with value (4 21) 48 with value (4 62) 4 with value (4 103)
% 9.14/9.34 ; 270 with value (4 22) 61 with value (4 63) 2 with value (4 104)
% 9.14/9.34 ; 296 with value (4 23) 33 with value (4 64) 4 with value (4 105)
% 9.14/9.34 ; 317 with value (4 24) 26 with value (4 65) 8 with value (4 106)
% 9.14/9.34 ; 310 with value (4 25) 35 with value (4 66) 3 with value (4 107)
% 9.14/9.34 ; 235 with value (4 26) 68 with value (4 67) 1 with value (4 109)
% 9.14/9.34 ; 278 with value (4 27) 39 with value (4 68) 3 with value (4 110)
% 9.14/9.34 ; 274 with value (4 28) 39 with value (4 69) 5 with value (4 112)
% 9.14/9.34 ; 355 with value (4 29) 34 with value (4 70) 3 with value (4 113)
% 9.14/9.34 ; 255 with value (4 30) 35 with value (4 71) 2 with value (4 114)
% 9.14/9.34 ; 257 with value (4 31) 47 with value (4 72) 5 with value (4 115)
% 9.14/9.34 ; 263 with value (4 32) 13 with value (4 73) 2 with value (4 116)
% 9.14/9.34 ; 212 with value (4 33) 18 with value (4 74) 3 with value (4 118)
% 9.14/9.34 ; 206 with value (4 34) 23 with value (4 75) 2 with value (4 119)
% 9.14/9.34 ; 231 with value (4 35) 33 with value (4 76) 4 with value (4 121)
% 9.14/9.34 ; 165 with value (4 36) 24 with value (4 77) 2 with value (4 126)
% 9.14/9.34 ; 229 with value (4 37) 16 with value (4 78) 2 with value (4 128)
% 9.14/9.34 ; 183 with value (4 38) 29 with value (4 79) 2 with value (4 132)
% 9.14/9.34 ; 197 with value (4 39) 28 with value (4 80) 1 with value (4 142)
% 9.14/9.34 ; 168 with value (4 40) 10 with value (4 81) 1 with value (4 145)
% 9.14/9.34 ; 161 with value (4 41) 8 with value (4 82) 1 with value (4 152)
% 9.14/9.34 ; 174 with value (4 42) 13 with value (4 83) 2 with value (4 161)
% 9.14/9.34 ; 118 with value (4 43) 12 with value (4 84) 2 with value (4 204)
% 9.14/9.34 ; 130 with value (4 44) 10 with value (4 85)
% 9.14/9.34 Evaluation took:
% 9.14/9.34 8.862 seconds of real time
% 9.14/9.34 8.186946 seconds of user run time
% 9.14/9.34 0.676 seconds of system run time
% 9.14/9.34 [Run times include 2.26 seconds GC run time.]
% 9.14/9.34 0 calls to %EVAL
% 9.14/9.34 0 page faults and
% 9.14/9.34 603,140,296 bytes consed.
% 9.14/9.34 :PROOF-FOUND
% 9.14/9.34 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T12:53:47
% 9.14/9.34 :PROOF-FOUND
% 9.14/9.34 *
%------------------------------------------------------------------------------