TSTP Solution File: SWV886-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV886-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 21:36:21 EDT 2022
% Result : Unsatisfiable 1.14s 1.35s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 14 ( 12 unt; 1 nHn; 9 RR)
% Number of literals : 17 ( 10 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_add__Suc_0,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X),Y,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X,Y,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X,c_Suc(Y),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X,Y,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_diff__add__inverse2_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X,Y,tc_nat),Y,tc_nat) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__add__inverse2_0) ).
cnf(cls_le__add__diff__inverse2_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X,Y,tc_nat),Y,tc_nat) = X
| ~ c_lessequals(Y,X,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add__diff__inverse2_0) ).
cnf(cls_card__insert__if_1,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X,Y,Z),Z) = c_Suc(c_Finite__Set_Ocard(Y,Z))
| c_in(X,Y,Z)
| ~ c_Finite__Set_Ofinite(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Finite__Set_Ocard(v_G,t_a) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
c_Finite__Set_Ofinite(v_G,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(575,plain,
c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X,Y,tc_nat)),Y,tc_nat) = c_Suc(X),
inference('PARAMODULATE',[status(thm)],[cls_diff__add__inverse2_0,cls_add__Suc_0,theory(equality)]) ).
cnf(781,plain,
c_Suc(c_HOL_Oplus__class_Oplus(c_Finite__Set_Ocard(v_G,t_a),v_na,tc_nat)) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_le__add__diff__inverse2_0,cls_conjecture_1]),cls_add__Suc__right_0,cls_conjecture_2,theory(equality)]) ).
cnf(782,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_Suc(c_Finite__Set_Ocard(v_G,t_a)),
inference('REWRITE',[status(thm)],[cls_conjecture_6,575,781,theory(equality)]) ).
cnf(1716,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_card__insert__if_1,782,cls_conjecture_4,cls_conjecture_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV886-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Wed Jun 15 17:16:22 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.53 #<PACKAGE "SNARK-USER">
% 0.23/0.53 *
% 0.23/0.53 SNARK-TPTP-OPTIONS
% 0.23/0.53 *
% 0.23/0.53 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.53 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.53 (USE-FACTORING :POS)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.53 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.53 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.53 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.53 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.53 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.53 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.53 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.53 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.53 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.53 *
% 0.23/0.53 "."
% 0.23/0.53 *
% 0.23/0.53 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:16:22
% 0.23/0.53 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-15T17:16:22
% 0.47/0.66
% 0.47/0.66 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.14/1.35 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.14/1.35
% 1.14/1.35 #||
% 1.14/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.35 % SZS output start Refutation
% See solution above
% 1.14/1.35 ||#
% 1.14/1.35
% 1.14/1.35 ; Summary of computation:
% 1.14/1.35 ; 7072 formulas have been input or derived (from 350 formulas).
% 1.14/1.35 ; 1716 (24%) were retained. Of these,
% 1.14/1.35 ; 79 ( 5%) were simplified or subsumed later,
% 1.14/1.35 ; 1637 (95%) are still being kept.
% 1.14/1.35 ;
% 1.14/1.35 ; Run time in seconds excluding printing time:
% 1.14/1.35 ; 0.119 15% Read assertion file (1 call)
% 1.14/1.35 ; 0.009 1% Assert (619 calls)
% 1.14/1.35 ; 0.141 17% Process new row (6,236 calls)
% 1.14/1.35 ; 0.130 16% Resolution (698 calls)
% 1.14/1.35 ; 0.015 2% Paramodulation (349 calls)
% 1.14/1.35 ; 0.000 0% Factoring (8 calls)
% 1.14/1.35 ; 0.051 6% Condensing (2,526 calls)
% 1.14/1.35 ; 0.077 9% Forward subsumption (2,526 calls)
% 1.14/1.35 ; 0.028 3% Backward subsumption (1,115 calls)
% 1.14/1.35 ; 0.028 3% Clause clause subsumption (7,710 calls)
% 1.14/1.35 ; 0.134 16% Forward simplification (6,191 calls)
% 1.14/1.35 ; 0.011 1% Backward simplification (1,707 calls)
% 1.14/1.35 ; 0.021 3% Ordering (9,232 calls)
% 1.14/1.35 ; 0.000 0% Sortal reasoning (32 calls)
% 1.14/1.35 ; 0.002 0% Purity testing (1 call)
% 1.14/1.35 ; 0.054 7% Other
% 1.14/1.35 ; 0.820 Total
% 1.14/1.35 ; 0.822 Real time
% 1.14/1.35 ;
% 1.14/1.35 ; Term-hash-array has 2,506 terms in all.
% 1.14/1.35 ; Feature-vector-row-index has 1,090 entries (1,090 at peak, 1,115 added, 25 deleted).
% 1.14/1.35 ; Feature-vector-row-index has 4,580 nodes (4,580 at peak, 4,785 added, 205 deleted).
% 1.14/1.35 ; Retrieved 11,047 possibly forward subsuming rows in 2,526 calls.
% 1.14/1.35 ; Retrieved 839 possibly backward subsumed rows in 1,115 calls.
% 1.14/1.35 ; Path-index has 2,422 entries (2,422 at peak, 2,541 added, 119 deleted).
% 1.14/1.35 ; Path-index has 5,247 nodes (5,247 at peak, 5,415 added, 168 deleted).
% 1.14/1.35 ; Trie-index has 2,422 entries (2,422 at peak, 2,541 added, 119 deleted).
% 1.14/1.35 ; Trie-index has 8,129 nodes (8,129 at peak, 8,681 added, 552 deleted).
% 1.14/1.35 ; Retrieved 23,710 generalization terms in 25,755 calls.
% 1.14/1.35 ; Retrieved 1,477 instance terms in 689 calls.
% 1.14/1.35 ; Retrieved 142,374 unifiable terms in 3,737 calls.
% 1.14/1.35 ;
% 1.14/1.35 ; The agenda of rows to process has 7 entries:
% 1.14/1.35 ; 1 with value 5 1 with value 18 1 with value 28
% 1.14/1.35 ; 1 with value 9 2 with value 20 1 with value 33
% 1.14/1.35 ; The agenda of input rows to give has 82 entries:
% 1.14/1.35 ; 14 with value 24 1 with value 31 2 with value 37
% 1.14/1.35 ; 12 with value 25 5 with value 32 3 with value 38
% 1.14/1.35 ; 4 with value 26 5 with value 33 3 with value 43
% 1.14/1.35 ; 17 with value 27 5 with value 34 2 with value 51
% 1.14/1.35 ; 3 with value 28 3 with value 35 1 with value 53
% 1.14/1.35 ; 2 with value 29
% 1.14/1.35 ; The agenda of rows to give has 1208 entries:
% 1.14/1.35 ; 1 with value (4 5) 68 with value (4 19) 26 with value (4 32)
% 1.14/1.35 ; 2 with value (4 6) 78 with value (4 20) 11 with value (4 33)
% 1.14/1.35 ; 10 with value (4 7) 38 with value (4 21) 13 with value (4 34)
% 1.14/1.35 ; 8 with value (4 8) 68 with value (4 22) 17 with value (4 35)
% 1.14/1.35 ; 12 with value (4 9) 61 with value (4 23) 6 with value (4 36)
% 1.14/1.35 ; 12 with value (4 10) 44 with value (4 24) 10 with value (4 37)
% 1.14/1.35 ; 18 with value (4 11) 55 with value (4 25) 5 with value (4 38)
% 1.14/1.35 ; 10 with value (4 12) 106 with value (4 26) 1 with value (4 39)
% 1.14/1.35 ; 30 with value (4 13) 42 with value (4 27) 6 with value (4 40)
% 1.14/1.35 ; 33 with value (4 14) 32 with value (4 28) 2 with value (4 41)
% 1.14/1.35 ; 63 with value (4 15) 39 with value (4 29) 1 with value (4 42)
% 1.14/1.35 ; 60 with value (4 16) 31 with value (4 30) 2 with value (4 43)
% 1.14/1.35 ; 78 with value (4 17) 24 with value (4 31) 1 with value (4 46)
% 1.14/1.35 ; 84 with value (4 18)
% 1.14/1.35 Evaluation took:
% 1.14/1.35 0.823 seconds of real time
% 1.14/1.35 0.76465 seconds of user run time
% 1.14/1.35 0.057927 seconds of system run time
% 1.14/1.35 [Run times include 0.041 seconds GC run time.]
% 1.14/1.35 0 calls to %EVAL
% 1.14/1.35 0 page faults and
% 1.14/1.35 58,797,216 bytes consed.
% 1.14/1.35 :PROOF-FOUND
% 1.14/1.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:16:23
% 1.14/1.35 :PROOF-FOUND
% 1.14/1.35 *
%------------------------------------------------------------------------------