TSTP Solution File: LCL754-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL754-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:25:46 EDT 2022
% Result : Unsatisfiable 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 2 nHn; 4 RR)
% Number of literals : 17 ( 6 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X) = c_HOL_Oplus__class_Oplus(X,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
cnf(cls_zero__less__Suc_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__Suc_0) ).
cnf(cls_not__less__eq_1,axiom,
( ~ c_HOL_Oord__class_Oless(X,Y,tc_nat)
| ~ c_HOL_Oord__class_Oless(Y,c_Suc(X),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq_1) ).
cnf(cls_subst__Abs_0,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OAbs(X),Y,Z) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(X,c_Lambda_Olift(Y,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(Z,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Abs_0) ).
cnf(368,plain,
c_Lambda_Osubst(c_Lambda_OdB_OAbs(X),Y,Z) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(X,c_Lambda_Olift(Y,c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(Z))),
inference('REWRITE',[status(thm)],[cls_subst__Abs_0,cls_Suc__eq__plus1_0,theory(equality)]) ).
cnf(cls_lift_Osimps_I1_J_1,axiom,
( c_Lambda_Olift(c_Lambda_OdB_OVar(X),Y) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_HOL_Oord__class_Oless(X,Y,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I1_J_1) ).
cnf(376,plain,
( c_Lambda_Olift(c_Lambda_OdB_OVar(X),Y) = c_Lambda_OdB_OVar(c_Suc(X))
| c_HOL_Oord__class_Oless(X,Y,tc_nat) ),
inference('REWRITE',[status(thm)],[cls_lift_Osimps_I1_J_1,cls_Suc__eq__plus1_0,theory(equality)]) ).
cnf(cls_Lambda_0,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X))
| ~ c_InductTermi_OIT(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(476,plain,
c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X),Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Lambda_0,cls_conjecture_1]) ).
cnf(760,plain,
c_Lambda_Olift(c_Lambda_OdB_OVar(X),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_OdB_OVar(c_Suc(X)),
inference('HYPERRESOLVE',[status(thm)],[cls_not__less__eq_1,376,cls_zero__less__Suc_0]) ).
cnf(1460,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_2,368,theory(equality)]),476,760,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL754-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 19:58:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T19:58:57
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-04T19:58:57
% 0.43/0.61
% 0.43/0.61 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.91/1.11 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.91/1.11
% 0.91/1.11 #||
% 0.91/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11 % SZS output start Refutation
% See solution above
% 0.91/1.11 ||#
% 0.91/1.11
% 0.91/1.11 ; Summary of computation:
% 0.91/1.11 ; 5986 formulas have been input or derived (from 289 formulas).
% 0.91/1.11 ; 1460 (24%) were retained. Of these,
% 0.91/1.11 ; 59 ( 4%) were simplified or subsumed later,
% 0.91/1.11 ; 1401 (96%) are still being kept.
% 0.91/1.11 ;
% 0.91/1.11 ; Run time in seconds excluding printing time:
% 0.91/1.11 ; 0.128 20% Read assertion file (1 call)
% 0.91/1.11 ; 0.014 2% Assert (718 calls)
% 0.91/1.11 ; 0.099 15% Process new row (5,315 calls)
% 0.91/1.11 ; 0.097 15% Resolution (576 calls)
% 0.91/1.11 ; 0.014 2% Paramodulation (288 calls)
% 0.91/1.11 ; 0.000 0% Factoring (8 calls)
% 0.91/1.11 ; 0.021 3% Condensing (2,124 calls)
% 0.91/1.11 ; 0.074 12% Forward subsumption (2,124 calls)
% 0.91/1.11 ; 0.025 4% Backward subsumption (943 calls)
% 0.91/1.11 ; 0.025 4% Clause clause subsumption (5,118 calls)
% 0.91/1.11 ; 0.075 12% Forward simplification (5,140 calls)
% 0.91/1.11 ; 0.012 2% Backward simplification (1,435 calls)
% 0.91/1.11 ; 0.016 2% Ordering (6,872 calls)
% 0.91/1.11 ; 0.001 0% Sortal reasoning (32 calls)
% 0.91/1.11 ; 0.002 0% Purity testing (1 call)
% 0.91/1.11 ; 0.038 6% Other
% 0.91/1.11 ; 0.641 Total
% 0.91/1.11 ; 0.642 Real time
% 0.91/1.11 ;
% 0.91/1.11 ; Term-hash-array has 2,159 terms in all.
% 0.91/1.11 ; Feature-vector-row-index has 930 entries (930 at peak, 943 added, 13 deleted).
% 0.91/1.11 ; Feature-vector-row-index has 3,317 nodes (3,317 at peak, 3,386 added, 69 deleted).
% 0.91/1.11 ; Retrieved 7,954 possibly forward subsuming rows in 2,124 calls.
% 0.91/1.11 ; Retrieved 680 possibly backward subsumed rows in 943 calls.
% 0.91/1.11 ; Path-index has 2,091 entries (2,091 at peak, 2,168 added, 77 deleted).
% 0.91/1.11 ; Path-index has 4,308 nodes (4,308 at peak, 4,387 added, 79 deleted).
% 0.91/1.11 ; Trie-index has 2,091 entries (2,091 at peak, 2,168 added, 77 deleted).
% 0.91/1.11 ; Trie-index has 6,603 nodes (6,603 at peak, 6,952 added, 349 deleted).
% 0.91/1.11 ; Retrieved 15,418 generalization terms in 19,066 calls.
% 0.91/1.11 ; Retrieved 1,088 instance terms in 603 calls.
% 0.91/1.11 ; Retrieved 106,176 unifiable terms in 2,807 calls.
% 0.91/1.11 ;
% 0.91/1.11 ; The agenda of rows to process has 19 entries:
% 0.91/1.11 ; 1 with value 17 5 with value 26 1 with value 30
% 0.91/1.11 ; 1 with value 19 1 with value 27 1 with value 32
% 0.91/1.11 ; 2 with value 22 1 with value 28 1 with value 33
% 0.91/1.11 ; 1 with value 25 3 with value 29 1 with value 35
% 0.91/1.11 ; The agenda of input rows to give has 144 entries:
% 0.91/1.11 ; 2 with value 20 4 with value 26 3 with value 32
% 0.91/1.11 ; 22 with value 21 47 with value 27 1 with value 33
% 0.91/1.11 ; 9 with value 22 3 with value 28 3 with value 34
% 0.91/1.11 ; 11 with value 23 2 with value 29 1 with value 35
% 0.91/1.11 ; 14 with value 24 1 with value 30 7 with value 39
% 0.91/1.11 ; 11 with value 25 1 with value 31 2 with value 43
% 0.91/1.11 ; The agenda of rows to give has 968 entries:
% 0.91/1.11 ; 1 with value (4 6) 61 with value (4 16) 87 with value (4 26)
% 0.91/1.11 ; 1 with value (4 7) 70 with value (4 17) 36 with value (4 27)
% 0.91/1.11 ; 4 with value (4 8) 69 with value (4 18) 23 with value (4 28)
% 0.91/1.11 ; 6 with value (4 9) 58 with value (4 19) 20 with value (4 29)
% 0.91/1.11 ; 8 with value (4 10) 55 with value (4 20) 12 with value (4 30)
% 0.91/1.11 ; 23 with value (4 11) 29 with value (4 21) 10 with value (4 31)
% 0.91/1.11 ; 27 with value (4 12) 68 with value (4 22) 8 with value (4 32)
% 0.91/1.11 ; 40 with value (4 13) 62 with value (4 23) 2 with value (4 33)
% 0.91/1.11 ; 35 with value (4 14) 43 with value (4 24) 3 with value (4 34)
% 0.91/1.11 ; 54 with value (4 15) 52 with value (4 25) 1 with value (4 36)
% 0.91/1.11 Evaluation took:
% 0.91/1.11 0.642 seconds of real time
% 0.91/1.11 0.607208 seconds of user run time
% 0.91/1.11 0.034932 seconds of system run time
% 0.91/1.11 [Run times include 0.025 seconds GC run time.]
% 0.91/1.11 0 calls to %EVAL
% 0.91/1.11 0 page faults and
% 0.91/1.11 47,716,336 bytes consed.
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T19:58:58
% 0.91/1.11 :PROOF-FOUND
% 0.91/1.11 *
%------------------------------------------------------------------------------