TSTP Solution File: LAT277-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT277-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 06:43:16 EDT 2022
% Result : Unsatisfiable 2.59s 2.78s
% Output : Refutation 2.59s
% 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 : 12 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 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; 7 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_OreflD_0,axiom,
( ~ c_Relation_Orefl(X,Y,Z)
| ~ c_in(U,X,Z)
| c_in(c_Pair(U,U,Z,Z),Y,tc_prod(Z,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
( ~ c_in(X,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Y,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X,Y,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X,Y,tc_Product__Type_Ounit),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
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(v_x,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(6726,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Tarski_OPartialOrder__iff_0,cls_Tarski_Ocl_A_58_APartialOrder_0]),cls_Tarski_Or_A_61_61_Aorder_Acl_0,cls_Tarski_OA_A_61_61_Apset_Acl_0,theory(equality)]) ).
cnf(7443,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Relation_OreflD_0,cls_conjecture_0,cls_conjecture_1]),6726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT277-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n009.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 08:43:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T08:43:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-29T08:43:22
% 0.59/0.83
% 0.66/0.84 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.66/0.84 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.66/0.86 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.70/0.88 WARNING:
% 0.70/0.88 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 2.59/2.78 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 2.59/2.78
% 2.59/2.78 #||
% 2.59/2.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/2.78 % SZS output start Refutation
% See solution above
% 2.59/2.78 ||#
% 2.59/2.78
% 2.59/2.78 ; Summary of computation:
% 2.59/2.78 ; 15709 formulas have been input or derived (from 1683 formulas).
% 2.59/2.78 ; 7443 (47%) were retained. Of these,
% 2.59/2.78 ; 1220 (16%) were simplified or subsumed later,
% 2.59/2.78 ; 6223 (84%) are still being kept.
% 2.59/2.78 ;
% 2.59/2.78 ; Run time in seconds excluding printing time:
% 2.59/2.78 ; 0.336 15% Read assertion file (1 call)
% 2.59/2.78 ; 0.044 2% Assert (2,746 calls)
% 2.59/2.78 ; 0.585 25% Process new row (13,906 calls)
% 2.59/2.78 ; 0.424 18% Resolution (3,364 calls)
% 2.59/2.78 ; 0.070 3% Paramodulation (1,682 calls)
% 2.59/2.78 ; 0.000 0% Factoring (48 calls)
% 2.59/2.78 ; 0.051 2% Condensing (4,686 calls)
% 2.59/2.78 ; 0.150 7% Forward subsumption (4,686 calls)
% 2.59/2.78 ; 0.169 7% Backward subsumption (3,993 calls)
% 2.59/2.78 ; 0.009 0% Clause clause subsumption (4,190 calls)
% 2.59/2.78 ; 0.197 9% Forward simplification (13,168 calls)
% 2.59/2.78 ; 0.083 4% Backward simplification (7,299 calls)
% 2.59/2.78 ; 0.073 3% Ordering (14,646 calls)
% 2.59/2.78 ; 0.001 0% Sortal reasoning (32 calls)
% 2.59/2.78 ; 0.013 1% Purity testing (1 call)
% 2.59/2.78 ; 0.096 4% Other
% 2.59/2.78 ; 2.301 Total
% 2.59/2.78 ; 2.302 Real time
% 2.59/2.78 ;
% 2.59/2.78 ; Term-hash-array has 15,489 terms in all.
% 2.59/2.78 ; Feature-vector-row-index has 3,441 entries (3,441 at peak, 3,993 added, 552 deleted).
% 2.59/2.78 ; Feature-vector-row-index has 17,390 nodes (17,390 at peak, 21,533 added, 4,143 deleted).
% 2.59/2.78 ; Retrieved 6,333 possibly forward subsuming rows in 4,686 calls.
% 2.59/2.78 ; Retrieved 2,980 possibly backward subsumed rows in 3,993 calls.
% 2.59/2.78 ; Path-index has 13,455 entries (13,455 at peak, 15,884 added, 2,429 deleted).
% 2.59/2.78 ; Path-index has 57,653 nodes (57,653 at peak, 61,920 added, 4,267 deleted).
% 2.59/2.78 ; Trie-index has 13,455 entries (13,455 at peak, 15,884 added, 2,429 deleted).
% 2.59/2.78 ; Trie-index has 72,715 nodes (72,715 at peak, 86,429 added, 13,714 deleted).
% 2.59/2.78 ; Retrieved 18,746 generalization terms in 51,884 calls.
% 2.59/2.78 ; Retrieved 5,128 instance terms in 3,461 calls.
% 2.59/2.78 ; Retrieved 505,286 unifiable terms in 13,080 calls.
% 2.59/2.78 ;
% 2.59/2.78 ; The agenda of rows to process has 25 entries:
% 2.59/2.78 ; 3 with value 6 5 with value 10 1 with value 14
% 2.59/2.78 ; 4 with value 8 1 with value 11 2 with value 15
% 2.59/2.78 ; 2 with value 9 5 with value 12 2 with value 18
% 2.59/2.78 ; The agenda of input rows to give has 444 entries:
% 2.59/2.78 ; 4 with value 22 5 with value 35 1 with value 48
% 2.59/2.78 ; 76 with value 23 19 with value 36 6 with value 49
% 2.59/2.78 ; 23 with value 24 7 with value 37 1 with value 53
% 2.59/2.78 ; 23 with value 25 12 with value 38 1 with value 54
% 2.59/2.78 ; 26 with value 26 5 with value 39 3 with value 55
% 2.59/2.78 ; 34 with value 27 5 with value 40 6 with value 56
% 2.59/2.78 ; 26 with value 28 12 with value 41 2 with value 61
% 2.59/2.78 ; 27 with value 29 4 with value 42 3 with value 62
% 2.59/2.78 ; 13 with value 30 12 with value 43 1 with value 65
% 2.59/2.78 ; 17 with value 31 4 with value 44 1 with value 82
% 2.59/2.78 ; 19 with value 32 5 with value 45 2 with value 85
% 2.59/2.78 ; 17 with value 33 2 with value 46 1 with value 88
% 2.59/2.78 ; 17 with value 34 1 with value 47 1 with value 90
% 2.59/2.78 ; The agenda of rows to give has 4202 entries:
% 2.59/2.78 ; 2 with value (4 4) 191 with value (4 23) 32 with value (4 42)
% 2.59/2.78 ; 10 with value (4 5) 159 with value (4 24) 19 with value (4 43)
% 2.59/2.78 ; 19 with value (4 6) 141 with value (4 25) 17 with value (4 44)
% 2.59/2.78 ; 13 with value (4 7) 116 with value (4 26) 8 with value (4 45)
% 2.59/2.78 ; 39 with value (4 8) 145 with value (4 27) 5 with value (4 46)
% 2.59/2.78 ; 64 with value (4 9) 102 with value (4 28) 14 with value (4 47)
% 2.59/2.78 ; 110 with value (4 10) 174 with value (4 29) 3 with value (4 48)
% 2.59/2.78 ; 74 with value (4 11) 91 with value (4 30) 10 with value (4 49)
% 2.59/2.78 ; 147 with value (4 12) 92 with value (4 31) 1 with value (4 50)
% 2.59/2.78 ; 136 with value (4 13) 112 with value (4 32) 6 with value (4 52)
% 2.59/2.78 ; 181 with value (4 14) 48 with value (4 33) 1 with value (4 53)
% 2.59/2.78 ; 162 with value (4 15) 58 with value (4 34) 9 with value (4 54)
% 2.59/2.78 ; 199 with value (4 16) 54 with value (4 35) 4 with value (4 55)
% 2.59/2.78 ; 207 with value (4 17) 21 with value (4 36) 3 with value (4 56)
% 2.59/2.78 ; 165 with value (4 18) 51 with value (4 37) 3 with value (4 57)
% 2.59/2.78 ; 201 with value (4 19) 21 with value (4 38) 5 with value (4 59)
% 2.59/2.78 ; 220 with value (4 20) 53 with value (4 39) 2 with value (4 60)
% 2.59/2.78 ; 233 with value (4 21) 41 with value (4 40) 2 with value (4 61)
% 2.59/2.78 ; 168 with value (4 22) 38 with value (4 41)
% 2.59/2.78 Evaluation took:
% 2.59/2.78 2.305 seconds of real time
% 2.59/2.78 2.138156 seconds of user run time
% 2.59/2.78 0.165869 seconds of system run time
% 2.59/2.78 [Run times include 0.333 seconds GC run time.]
% 2.59/2.78 0 calls to %EVAL
% 2.59/2.78 0 page faults and
% 2.59/2.78 179,057,904 bytes consed.
% 2.59/2.78 :PROOF-FOUND
% 2.59/2.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T08:43:25
% 2.59/2.78 :PROOF-FOUND
% 2.59/2.78 *
%------------------------------------------------------------------------------