TSTP Solution File: LCL748-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:25:43 EDT 2022
% Result : Unsatisfiable 1.33s 1.50s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 3 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 3 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_lift_Osimps_I3_J_0,axiom,
c_Lambda_Olift(c_Lambda_OdB_OAbs(X),Y) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X,c_HOL_Oplus__class_Oplus(Y,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I3_J_0) ).
cnf(224,plain,
c_Lambda_Olift(c_Lambda_OdB_OAbs(X),Y) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X,c_Suc(Y))),
inference('REWRITE',[status(thm)],[cls_lift_Osimps_I3_J_0,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_Olift(v_r,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(269,plain,
c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Olift(v_r,X))),
inference('HYPERRESOLVE',[status(thm)],[cls_Lambda_0,cls_conjecture_1]) ).
cnf(1613,plain,
c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X)),
inference('PARAMODULATE',[status(thm)],[269,224,theory(equality)]) ).
cnf(1614,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,1613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.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 : Mon Jul 4 07:11:59 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 2022-07-04T07:11:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T07:11:59
% 0.39/0.56
% 0.39/0.56 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.57 WARNING:
% 0.40/0.57 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.33/1.50 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.33/1.50
% 1.33/1.50 #||
% 1.33/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50 % SZS output start Refutation
% See solution above
% 1.33/1.50 ||#
% 1.33/1.50
% 1.33/1.50 ; Summary of computation:
% 1.33/1.50 ; 6920 formulas have been input or derived (from 235 formulas).
% 1.33/1.50 ; 1614 (23%) were retained. Of these,
% 1.33/1.50 ; 59 ( 4%) were simplified or subsumed later,
% 1.33/1.50 ; 1555 (96%) are still being kept.
% 1.33/1.50 ;
% 1.33/1.50 ; Run time in seconds excluding printing time:
% 1.33/1.50 ; 0.078 8% Read assertion file (1 call)
% 1.33/1.50 ; 0.012 1% Assert (370 calls)
% 1.33/1.50 ; 0.144 14% Process new row (6,305 calls)
% 1.33/1.50 ; 0.121 12% Resolution (468 calls)
% 1.33/1.50 ; 0.014 1% Paramodulation (234 calls)
% 1.33/1.50 ; 0.000 0% Factoring (8 calls)
% 1.33/1.50 ; 0.036 3% Condensing (3,119 calls)
% 1.33/1.50 ; 0.287 28% Forward subsumption (3,119 calls)
% 1.33/1.50 ; 0.025 2% Backward subsumption (1,104 calls)
% 1.33/1.50 ; 0.052 5% Clause clause subsumption (10,223 calls)
% 1.33/1.50 ; 0.178 17% Forward simplification (6,230 calls)
% 1.33/1.50 ; 0.011 1% Backward simplification (1,597 calls)
% 1.33/1.50 ; 0.028 3% Ordering (10,982 calls)
% 1.33/1.50 ; 0.000 0% Sortal reasoning (32 calls)
% 1.33/1.50 ; 0.002 0% Purity testing (1 call)
% 1.33/1.50 ; 0.044 4% Other
% 1.33/1.50 ; 1.032 Total
% 1.33/1.50 ; 1.034 Real time
% 1.33/1.50 ;
% 1.33/1.50 ; Term-hash-array has 2,651 terms in all.
% 1.33/1.50 ; Feature-vector-row-index has 1,088 entries (1,088 at peak, 1,104 added, 16 deleted).
% 1.33/1.50 ; Feature-vector-row-index has 4,872 nodes (4,872 at peak, 4,998 added, 126 deleted).
% 1.33/1.50 ; Retrieved 17,389 possibly forward subsuming rows in 3,119 calls.
% 1.33/1.50 ; Retrieved 737 possibly backward subsumed rows in 1,104 calls.
% 1.33/1.50 ; Path-index has 2,570 entries (2,573 at peak, 2,685 added, 115 deleted).
% 1.33/1.50 ; Path-index has 4,557 nodes (4,560 at peak, 4,718 added, 161 deleted).
% 1.33/1.50 ; Trie-index has 2,570 entries (2,573 at peak, 2,685 added, 115 deleted).
% 1.33/1.50 ; Trie-index has 7,394 nodes (7,397 at peak, 7,919 added, 525 deleted).
% 1.33/1.50 ; Retrieved 28,005 generalization terms in 37,852 calls.
% 1.33/1.50 ; Retrieved 1,254 instance terms in 649 calls.
% 1.33/1.50 ; Retrieved 171,276 unifiable terms in 2,672 calls.
% 1.33/1.50 ;
% 1.33/1.50 ; The agenda of rows to process has 1 entry:
% 1.33/1.50 ; 1 with value 12
% 1.33/1.50 ; The agenda of rows to give has 1321 entries:
% 1.33/1.50 ; 4 with value (4 9) 56 with value (4 23) 37 with value (4 37)
% 1.33/1.50 ; 7 with value (4 10) 58 with value (4 24) 20 with value (4 38)
% 1.33/1.50 ; 15 with value (4 11) 62 with value (4 25) 17 with value (4 39)
% 1.33/1.50 ; 22 with value (4 12) 110 with value (4 26) 15 with value (4 40)
% 1.33/1.50 ; 21 with value (4 13) 55 with value (4 27) 11 with value (4 41)
% 1.33/1.50 ; 27 with value (4 14) 49 with value (4 28) 7 with value (4 42)
% 1.33/1.50 ; 37 with value (4 15) 60 with value (4 29) 7 with value (4 43)
% 1.33/1.50 ; 44 with value (4 16) 62 with value (4 30) 2 with value (4 44)
% 1.33/1.50 ; 34 with value (4 17) 43 with value (4 31) 1 with value (4 45)
% 1.33/1.50 ; 46 with value (4 18) 44 with value (4 32) 1 with value (4 46)
% 1.33/1.50 ; 61 with value (4 19) 38 with value (4 33) 2 with value (4 47)
% 1.33/1.50 ; 46 with value (4 20) 29 with value (4 34) 1 with value (4 54)
% 1.33/1.50 ; 45 with value (4 21) 28 with value (4 35) 1 with value (4 59)
% 1.33/1.50 ; 67 with value (4 22) 29 with value (4 36)
% 1.33/1.50 Evaluation took:
% 1.33/1.50 1.035 seconds of real time
% 1.33/1.50 0.953753 seconds of user run time
% 1.33/1.50 0.08068 seconds of system run time
% 1.33/1.50 [Run times include 0.062 seconds GC run time.]
% 1.33/1.50 0 calls to %EVAL
% 1.33/1.50 0 page faults and
% 1.33/1.50 84,742,864 bytes consed.
% 1.33/1.50 :PROOF-FOUND
% 1.33/1.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T07:12:00
% 1.33/1.50 :PROOF-FOUND
% 1.33/1.50 *
%------------------------------------------------------------------------------