TSTP Solution File: SWV273-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV273-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 : Wed Jul 20 21:32:28 EDT 2022
% Result : Unsatisfiable 27.78s 28.04s
% Output : Refutation 27.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 20 ( 3 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 25 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_union(U,X,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__subset__iff_2) ).
cnf(cls_Set_OUnion__Pow__eq_0,axiom,
c_Union(c_Pow(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__Pow__eq_0) ).
cnf(cls_Set_OUnion__insert_0,axiom,
c_Union(c_insert(X,Y,tc_set(Z)),Z) = c_union(X,c_Union(Y,Z),Z),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUnion__insert_0) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
| c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-1.ax',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
cnf(cls_Message_Osynth__increasing_0,axiom,
c_lessequals(X,c_Message_Osynth(X),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__increasing_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(4403,plain,
c_lessequals(c_Message_Oparts(X),c_Message_Oparts(c_Message_Osynth(X)),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__mono_0,cls_Message_Osynth__increasing_0]) ).
cnf(5278,plain,
c_lessequals(X,c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_0,cls_Set_Osubset__refl_0]) ).
cnf(5711,plain,
c_Union(c_insert(X,c_Pow(Y,Z),tc_set(Z)),Z) = c_union(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[cls_Set_OUnion__insert_0,cls_Set_OUnion__Pow__eq_0,theory(equality)]) ).
cnf(5788,plain,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_Union(c_insert(U,c_Pow(X,Z),tc_set(Z)),Z),Y,tc_set(Z)) ),
inference('REWRITE',[status(thm)],[cls_Set_OUn__subset__iff_2,5711,theory(equality)]) ).
cnf(5845,plain,
~ c_lessequals(c_Union(c_insert(c_Message_Oparts(v_H),c_Pow(c_Message_Osynth(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
inference('REWRITE',[status(thm)],[cls_conjecture_0,5711,theory(equality)]) ).
cnf(30860,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5788,5278,5845]),4403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV273-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 : Thu Jun 16 01:16:33 EDT 2022
% 0.13/0.34 % 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 2022-06-16T01:16:33
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T01:16:33
% 0.59/0.83
% 0.68/0.85 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.68/0.87 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.68/0.87 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.90 WARNING:
% 0.71/0.90 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 27.78/28.04 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 27.78/28.04
% 27.78/28.04 #||
% 27.78/28.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.78/28.04 % SZS output start Refutation
% See solution above
% 27.78/28.04 ||#
% 27.78/28.04
% 27.78/28.04 ; Summary of computation:
% 27.78/28.04 ; 64517 formulas have been input or derived (from 2464 formulas).
% 27.78/28.04 ; 30860 (48%) were retained. Of these,
% 27.78/28.04 ; 3547 (11%) were simplified or subsumed later,
% 27.78/28.04 ; 27313 (89%) are still being kept.
% 27.78/28.04 ;
% 27.78/28.04 ; Run time in seconds excluding printing time:
% 27.78/28.04 ; 0.344 1% Read assertion file (1 call)
% 27.78/28.04 ; 0.042 0% Assert (2,826 calls)
% 27.78/28.04 ; 4.805 17% Process new row (57,217 calls)
% 27.78/28.04 ; 11.339 41% Resolution (4,926 calls)
% 27.78/28.04 ; 0.201 1% Paramodulation (2,463 calls)
% 27.78/28.04 ; 0.001 0% Factoring (76 calls)
% 27.78/28.04 ; 0.320 1% Condensing (14,043 calls)
% 27.78/28.04 ; 3.984 14% Forward subsumption (14,043 calls)
% 27.78/28.04 ; 1.537 6% Backward subsumption (11,088 calls)
% 27.78/28.04 ; 0.103 0% Clause clause subsumption (19,096 calls)
% 27.78/28.04 ; 3.169 11% Forward simplification (55,812 calls)
% 27.78/28.04 ; 0.832 3% Backward simplification (30,717 calls)
% 27.78/28.04 ; 0.618 2% Ordering (70,948 calls)
% 27.78/28.04 ; 0.001 0% Sortal reasoning (32 calls)
% 27.78/28.04 ; 0.019 0% Purity testing (1 call)
% 27.78/28.04 ; 0.244 1% Other
% 27.78/28.04 ; 27.559 Total
% 27.78/28.04 ; 27.561 Real time
% 27.78/28.04 ;
% 27.87/28.05 ; Term-hash-array has 82,517 terms in all.
% 27.87/28.05 ; Feature-vector-row-index has 9,137 entries (9,186 at peak, 11,088 added, 1,951 deleted).
% 27.87/28.05 ; Feature-vector-row-index has 77,566 nodes (77,980 at peak, 97,372 added, 19,806 deleted).
% 27.87/28.05 ; Retrieved 32,811 possibly forward subsuming rows in 14,043 calls.
% 27.87/28.05 ; Retrieved 7,084 possibly backward subsumed rows in 11,088 calls.
% 27.87/28.05 ; Path-index has 74,824 entries (74,995 at peak, 84,504 added, 9,680 deleted).
% 27.87/28.05 ; Path-index has 181,358 nodes (181,394 at peak, 193,765 added, 12,407 deleted).
% 27.87/28.05 ; Trie-index has 74,824 entries (74,995 at peak, 84,504 added, 9,680 deleted).
% 27.87/28.05 ; Trie-index has 533,865 nodes (534,938 at peak, 600,794 added, 66,929 deleted).
% 27.87/28.05 ; Retrieved 174,452 generalization terms in 436,292 calls.
% 27.87/28.05 ; Retrieved 30,690 instance terms in 20,240 calls.
% 27.87/28.05 ; Retrieved 13,311,727 unifiable terms in 60,017 calls.
% 27.87/28.05 ;
% 27.87/28.05 ; The agenda of rows to process has 100 entries:
% 27.87/28.05 ; 6 with value 13 1 with value 19 1 with value 26
% 27.87/28.05 ; 18 with value 14 10 with value 20 2 with value 27
% 27.87/28.05 ; 25 with value 15 4 with value 21 3 with value 31
% 27.87/28.05 ; 2 with value 16 1 with value 22 1 with value 32
% 27.87/28.05 ; 1 with value 17 2 with value 23 1 with value 49
% 27.87/28.05 ; 18 with value 18 3 with value 24 1 with value 55
% 27.87/28.05 ; The agenda of rows to give has 25059 entries:
% 27.87/28.05 ; 1 with value (4 8) 101 with value (4 60) 10 with value (4 111)
% 27.87/28.05 ; 24 with value (4 9) 70 with value (4 61) 13 with value (4 112)
% 27.87/28.05 ; 282 with value (4 10) 89 with value (4 62) 13 with value (4 113)
% 27.87/28.05 ; 435 with value (4 11) 83 with value (4 63) 4 with value (4 114)
% 27.87/28.05 ; 1017 with value (4 12) 81 with value (4 64) 9 with value (4 115)
% 27.87/28.05 ; 958 with value (4 13) 58 with value (4 65) 5 with value (4 116)
% 27.87/28.05 ; 1398 with value (4 14) 86 with value (4 66) 3 with value (4 117)
% 27.87/28.05 ; 633 with value (4 15) 101 with value (4 67) 7 with value (4 118)
% 27.87/28.05 ; 970 with value (4 16) 75 with value (4 68) 11 with value (4 119)
% 27.87/28.05 ; 902 with value (4 17) 90 with value (4 69) 4 with value (4 120)
% 27.87/28.05 ; 991 with value (4 18) 83 with value (4 70) 2 with value (4 121)
% 27.87/28.05 ; 492 with value (4 19) 84 with value (4 71) 5 with value (4 122)
% 27.87/28.05 ; 665 with value (4 20) 78 with value (4 72) 2 with value (4 123)
% 27.87/28.05 ; 681 with value (4 21) 61 with value (4 73) 6 with value (4 124)
% 27.87/28.05 ; 1296 with value (4 22) 80 with value (4 74) 2 with value (4 125)
% 27.87/28.05 ; 822 with value (4 23) 67 with value (4 75) 2 with value (4 126)
% 27.87/28.05 ; 705 with value (4 24) 66 with value (4 76) 2 with value (4 127)
% 27.87/28.05 ; 791 with value (4 25) 83 with value (4 77) 3 with value (4 128)
% 27.87/28.05 ; 554 with value (4 26) 46 with value (4 78) 3 with value (4 129)
% 27.87/28.05 ; 568 with value (4 27) 66 with value (4 79) 2 with value (4 131)
% 27.87/28.05 ; 643 with value (4 28) 63 with value (4 80) 4 with value (4 133)
% 27.87/28.05 ; 481 with value (4 29) 47 with value (4 81) 5 with value (4 134)
% 27.87/28.05 ; 603 with value (4 30) 50 with value (4 82) 2 with value (4 137)
% 27.87/28.05 ; 456 with value (4 31) 33 with value (4 83) 2 with value (4 138)
% 27.87/28.05 ; 521 with value (4 32) 37 with value (4 84) 1 with value (4 140)
% 27.87/28.05 ; 394 with value (4 33) 46 with value (4 85) 2 with value (4 141)
% 27.87/28.05 ; 305 with value (4 34) 34 with value (4 86) 1 with value (4 142)
% 27.87/28.05 ; 374 with value (4 35) 42 with value (4 87) 1 with value (4 145)
% 27.87/28.05 ; 236 with value (4 36) 34 with value (4 88) 5 with value (4 152)
% 27.87/28.05 ; 281 with value (4 37) 21 with value (4 89) 2 with value (4 154)
% 27.87/28.05 ; 310 with value (4 38) 35 with value (4 90) 1 with value (4 157)
% 27.87/28.05 ; 465 with value (4 39) 27 with value (4 91) 3 with value (4 164)
% 27.87/28.05 ; 238 with value (4 40) 13 with value (4 92) 1 with value (4 165)
% 27.87/28.05 ; 368 with value (4 41) 45 with value (4 93) 1 with value (4 169)
% 27.87/28.05 ; 422 with value (4 42) 22 with value (4 94) 2 with value (4 171)
% 27.87/28.05 ; 287 with value (4 43) 26 with value (4 95) 2 with value (4 176)
% 27.87/28.05 ; 184 with value (4 44) 30 with value (4 96) 2 with value (4 178)
% 27.87/28.05 ; 143 with value (4 45) 25 with value (4 97) 4 with value (4 180)
% 27.87/28.05 ; 142 with value (4 46) 10 with value (4 98) 1 with value (4 185)
% 27.87/28.05 ; 116 with value (4 47) 29 with value (4 99) 2 with value (4 186)
% 27.87/28.05 ; 145 with value (4 48) 16 with value (4 100) 2 with value (4 195)
% 27.87/28.05 ; 193 with value (4 49) 16 with value (4 101) 1 with value (4 202)
% 27.87/28.05 ; 111 with value (4 50) 10 with value (4 102) 2 with value (4 203)
% 27.87/28.05 ; 110 with value (4 51) 14 with value (4 103) 2 with value (4 205)
% 27.87/28.05 ; 171 with value (4 52) 10 with value (4 104) 1 with value (4 208)
% 27.87/28.05 ; 114 with value (4 53) 25 with value (4 105) 2 with value (4 213)
% 27.87/28.05 ; 123 with value (4 54) 5 with value (4 106) 2 with value (4 220)
% 27.87/28.05 ; 94 with value (4 55) 10 with value (4 107) 1 with value (4 225)
% 27.87/28.05 ; 107 with value (4 56) 13 with value (4 108) 2 with value (4 244)
% 27.87/28.05 ; 71 with value (4 57) 17 with value (4 109) 2 with value (4 274)
% 27.87/28.05 ; 65 with value (4 58) 12 with value (4 110) 1 with value (4 321)
% 27.87/28.05 ; 66 with value (4 59)
% 27.87/28.05 Evaluation took:
% 27.87/28.05 27.571 seconds of real time
% 27.87/28.05 26.229376 seconds of user run time
% 27.87/28.05 1.341963 seconds of system run time
% 27.87/28.05 [Run times include 7.062 seconds GC run time.]
% 27.87/28.05 0 calls to %EVAL
% 27.87/28.05 0 page faults and
% 27.87/28.05 1,695,773,408 bytes consed.
% 27.87/28.05 :PROOF-FOUND
% 27.87/28.05 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:17:01
% 27.87/28.05 :PROOF-FOUND
% 27.87/28.05 *
%------------------------------------------------------------------------------