TSTP Solution File: LAT259-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 06:43:04 EDT 2022
% Result : Unsatisfiable 6.45s 6.66s
% Output : Refutation 6.45s
% 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 ( 3 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 : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_Oantisym__def_0,axiom,
( ~ c_Relation_Oantisym(X,Y)
| ~ c_in(c_Pair(Z,U,Y,Y),X,tc_prod(Y,Y))
| ~ c_in(c_Pair(U,Z,Y,Y),X,tc_prod(Y,Y))
| Z = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oantisym__def_0) ).
cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
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_a,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,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(4006,plain,
c_Relation_Oantisym(v_r,t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_1,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(12086,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Relation_Oantisym__def_0,cls_conjecture_0,cls_conjecture_1,cls_conjecture_2]),4006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 16:21:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-29T16:21:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-29T16:21:53
% 0.61/0.86
% 0.70/0.88 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.70/0.88 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.73/0.89 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.92 WARNING:
% 0.73/0.92 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 6.45/6.66 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 6.45/6.66
% 6.45/6.66 #||
% 6.45/6.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/6.66 % SZS output start Refutation
% See solution above
% 6.45/6.66 ||#
% 6.45/6.66
% 6.45/6.66 ; Summary of computation:
% 6.45/6.66 ; 23117 formulas have been input or derived (from 1970 formulas).
% 6.45/6.66 ; 12086 (52%) were retained. Of these,
% 6.45/6.66 ; 2157 (18%) were simplified or subsumed later,
% 6.45/6.66 ; 9929 (82%) are still being kept.
% 6.45/6.66 ;
% 6.45/6.66 ; Run time in seconds excluding printing time:
% 6.45/6.66 ; 0.382 6% Read assertion file (1 call)
% 6.45/6.66 ; 0.038 1% Assert (2,750 calls)
% 6.45/6.66 ; 1.372 22% Process new row (21,047 calls)
% 6.45/6.66 ; 0.988 16% Resolution (3,938 calls)
% 6.45/6.66 ; 0.117 2% Paramodulation (1,969 calls)
% 6.45/6.66 ; 0.000 0% Factoring (65 calls)
% 6.45/6.66 ; 0.111 2% Condensing (8,842 calls)
% 6.45/6.66 ; 1.129 18% Forward subsumption (8,842 calls)
% 6.45/6.66 ; 0.505 8% Backward subsumption (7,636 calls)
% 6.45/6.66 ; 0.035 1% Clause clause subsumption (8,968 calls)
% 6.45/6.66 ; 0.569 9% Forward simplification (19,848 calls)
% 6.45/6.66 ; 0.532 9% Backward simplification (11,942 calls)
% 6.45/6.66 ; 0.264 4% Ordering (32,159 calls)
% 6.45/6.66 ; 0.000 0% Sortal reasoning (32 calls)
% 6.45/6.66 ; 0.013 0% Purity testing (1 call)
% 6.45/6.66 ; 0.135 2% Other
% 6.45/6.66 ; 6.190 Total
% 6.45/6.66 ; 6.191 Real time
% 6.45/6.66 ;
% 6.45/6.66 ; Term-hash-array has 31,338 terms in all.
% 6.45/6.66 ; Feature-vector-row-index has 6,324 entries (6,324 at peak, 7,636 added, 1,312 deleted).
% 6.45/6.66 ; Feature-vector-row-index has 47,278 nodes (47,278 at peak, 58,896 added, 11,618 deleted).
% 6.45/6.66 ; Retrieved 12,094 possibly forward subsuming rows in 8,842 calls.
% 6.45/6.66 ; Retrieved 4,411 possibly backward subsumed rows in 7,636 calls.
% 6.45/6.66 ; Path-index has 26,803 entries (26,803 at peak, 32,319 added, 5,516 deleted).
% 6.45/6.66 ; Path-index has 117,988 nodes (117,988 at peak, 125,576 added, 7,588 deleted).
% 6.45/6.66 ; Trie-index has 26,803 entries (26,803 at peak, 32,319 added, 5,516 deleted).
% 6.45/6.66 ; Trie-index has 197,540 nodes (197,540 at peak, 235,814 added, 38,274 deleted).
% 6.45/6.66 ; Retrieved 42,359 generalization terms in 114,029 calls.
% 6.45/6.66 ; Retrieved 8,714 instance terms in 4,561 calls.
% 6.45/6.66 ; Retrieved 1,003,415 unifiable terms in 18,944 calls.
% 6.45/6.66 ;
% 6.45/6.66 ; The agenda of rows to process has 6 entries:
% 6.45/6.66 ; 1 with value 5 2 with value 41 1 with value 50
% 6.45/6.66 ; 1 with value 37 1 with value 43
% 6.45/6.66 ; The agenda of input rows to give has 175 entries:
% 6.45/6.66 ; 11 with value 32 5 with value 42 3 with value 55
% 6.45/6.66 ; 16 with value 33 12 with value 43 6 with value 56
% 6.45/6.66 ; 18 with value 34 5 with value 44 2 with value 61
% 6.45/6.66 ; 5 with value 35 7 with value 45 3 with value 62
% 6.45/6.66 ; 19 with value 36 2 with value 46 1 with value 65
% 6.45/6.66 ; 8 with value 37 1 with value 47 1 with value 82
% 6.45/6.66 ; 12 with value 38 1 with value 48 2 with value 85
% 6.45/6.66 ; 5 with value 39 6 with value 49 1 with value 88
% 6.45/6.66 ; 6 with value 40 3 with value 53 1 with value 90
% 6.45/6.66 ; 12 with value 41 1 with value 54
% 6.45/6.66 ; The agenda of rows to give has 7922 entries:
% 6.45/6.66 ; 2 with value (4 4) 59 with value (4 45) 14 with value (4 86)
% 6.45/6.66 ; 11 with value (4 5) 36 with value (4 46) 8 with value (4 87)
% 6.45/6.66 ; 19 with value (4 6) 53 with value (4 47) 11 with value (4 88)
% 6.45/6.66 ; 13 with value (4 7) 46 with value (4 48) 6 with value (4 89)
% 6.45/6.66 ; 40 with value (4 8) 58 with value (4 49) 13 with value (4 90)
% 6.45/6.66 ; 67 with value (4 9) 50 with value (4 50) 5 with value (4 91)
% 6.45/6.66 ; 131 with value (4 10) 50 with value (4 51) 2 with value (4 92)
% 6.45/6.66 ; 77 with value (4 11) 83 with value (4 52) 13 with value (4 93)
% 6.45/6.66 ; 163 with value (4 12) 35 with value (4 53) 3 with value (4 94)
% 6.45/6.66 ; 140 with value (4 13) 43 with value (4 54) 7 with value (4 95)
% 6.45/6.66 ; 197 with value (4 14) 32 with value (4 55) 15 with value (4 96)
% 6.45/6.66 ; 182 with value (4 15) 37 with value (4 56) 9 with value (4 97)
% 6.45/6.66 ; 217 with value (4 16) 24 with value (4 57) 5 with value (4 98)
% 6.45/6.66 ; 227 with value (4 17) 25 with value (4 58) 7 with value (4 99)
% 6.45/6.66 ; 193 with value (4 18) 27 with value (4 59) 3 with value (4 100)
% 6.45/6.66 ; 234 with value (4 19) 47 with value (4 60) 5 with value (4 101)
% 6.45/6.66 ; 258 with value (4 20) 16 with value (4 61) 6 with value (4 102)
% 6.45/6.66 ; 250 with value (4 21) 33 with value (4 62) 3 with value (4 103)
% 6.45/6.66 ; 219 with value (4 22) 30 with value (4 63) 2 with value (4 104)
% 6.45/6.66 ; 255 with value (4 23) 25 with value (4 64) 4 with value (4 105)
% 6.45/6.66 ; 270 with value (4 24) 17 with value (4 65) 8 with value (4 106)
% 6.45/6.66 ; 265 with value (4 25) 14 with value (4 66) 3 with value (4 107)
% 6.45/6.66 ; 196 with value (4 26) 47 with value (4 67) 1 with value (4 109)
% 6.45/6.66 ; 228 with value (4 27) 26 with value (4 68) 3 with value (4 110)
% 6.45/6.66 ; 204 with value (4 28) 21 with value (4 69) 5 with value (4 112)
% 6.45/6.66 ; 296 with value (4 29) 23 with value (4 70) 3 with value (4 113)
% 6.45/6.66 ; 221 with value (4 30) 25 with value (4 71) 2 with value (4 114)
% 6.45/6.66 ; 207 with value (4 31) 36 with value (4 72) 5 with value (4 115)
% 6.45/6.66 ; 211 with value (4 32) 6 with value (4 73) 2 with value (4 116)
% 6.45/6.66 ; 188 with value (4 33) 11 with value (4 74) 3 with value (4 118)
% 6.45/6.66 ; 166 with value (4 34) 11 with value (4 75) 2 with value (4 119)
% 6.45/6.66 ; 167 with value (4 35) 18 with value (4 76) 4 with value (4 121)
% 6.45/6.66 ; 104 with value (4 36) 14 with value (4 77) 2 with value (4 126)
% 6.45/6.66 ; 192 with value (4 37) 15 with value (4 78) 2 with value (4 128)
% 6.45/6.66 ; 99 with value (4 38) 23 with value (4 79) 2 with value (4 132)
% 6.45/6.66 ; 127 with value (4 39) 18 with value (4 80) 1 with value (4 142)
% 6.45/6.66 ; 123 with value (4 40) 6 with value (4 81) 1 with value (4 145)
% 6.45/6.66 ; 113 with value (4 41) 8 with value (4 82) 1 with value (4 152)
% 6.45/6.66 ; 123 with value (4 42) 12 with value (4 83) 2 with value (4 161)
% 6.45/6.66 ; 75 with value (4 43) 10 with value (4 84) 2 with value (4 204)
% 6.45/6.66 ; 77 with value (4 44) 10 with value (4 85)
% 6.45/6.66 Evaluation took:
% 6.45/6.66 6.196 seconds of real time
% 6.45/6.66 5.730636 seconds of user run time
% 6.45/6.66 0.46498 seconds of system run time
% 6.45/6.66 [Run times include 1.56 seconds GC run time.]
% 6.45/6.66 0 calls to %EVAL
% 6.45/6.66 0 page faults and
% 6.45/6.66 449,991,304 bytes consed.
% 6.45/6.66 :PROOF-FOUND
% 6.45/6.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T16:21:59
% 6.45/6.66 :PROOF-FOUND
% 6.45/6.66 *
%------------------------------------------------------------------------------