TSTP Solution File: SWV885-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 21:36:20 EDT 2022
% Result : Unsatisfiable 3.23s 3.40s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of clauses : 21 ( 15 unt; 4 nHn; 14 RR)
% Number of literals : 30 ( 13 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X)
| ~ c_HOL_Oord__class_Oless(Y,Z,X)
| ~ c_lessequals(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_Suc__neq__Zero_0,axiom,
c_Suc(X) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_add__diff__inverse_0,axiom,
( c_HOL_Oplus__class_Oplus(X,c_HOL_Ominus__class_Ominus(Y,X,tc_nat),tc_nat) = Y
| c_HOL_Oord__class_Oless(Y,X,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__inverse_0) ).
cnf(cls_diff__add__inverse_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X,Y,tc_nat),X,tc_nat) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).
cnf(cls_card__eq__0__iff_2,axiom,
( c_Finite__Set_Ocard(X,Y) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Finite__Set_Ofinite(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__eq__0__iff_2) ).
cnf(cls_rev__finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X,Y)
| ~ c_lessequals(X,Z,tc_fun(Y,tc_bool))
| ~ c_Finite__Set_Ofinite(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__finite__subset_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/sandbox2/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(1068,plain,
c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X,Y,tc_nat)),X,tc_nat) = c_Suc(Y),
inference('PARAMODULATE',[status(thm)],[cls_diff__add__inverse_0,cls_add__Suc__right_0,theory(equality)]) ).
cnf(1260,plain,
( c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Finite__Set_Ofinite(v_G,t_a) ),
inference('HYPERRESOLVE',[status(thm)],[cls_rev__finite__subset_0,cls_conjecture_1,cls_card__eq__0__iff_2]) ).
cnf(1427,plain,
c_Suc(c_HOL_Oplus__class_Oplus(v_na,c_Finite__Set_Ocard(v_G,t_a),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_linorder__not__less_1,cls_add__diff__inverse_0,clsarity_nat__Orderings_Olinorder,cls_conjecture_2]),cls_add__Suc_0,cls_conjecture_3,theory(equality)]) ).
cnf(1428,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_6,1068,1427,theory(equality)]) ).
cnf(1444,plain,
c_Finite__Set_Ofinite(v_G,t_a),
inference('REWRITE',[status(thm)],[1260,cls_Suc__neq__Zero_0,1427,theory(equality)]) ).
cnf(3459,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_card__insert__if_1,1428,cls_conjecture_5]),1444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n018.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 : Tue Jun 14 19:00:59 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.35/0.52 #<PACKAGE "SNARK-USER">
% 0.35/0.52 *
% 0.35/0.52 SNARK-TPTP-OPTIONS
% 0.35/0.52 *
% 0.35/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.35/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.35/0.52 (USE-FACTORING :POS)
% 0.35/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.35/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.35/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.35/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.35/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.35/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.35/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.35/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.35/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.35/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.35/0.52 *
% 0.35/0.52 "."
% 0.35/0.52 *
% 0.35/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:00:59
% 0.35/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T19:00:59
% 0.35/0.75
% 0.35/0.75 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.35/0.77 WARNING:
% 0.35/0.77 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 3.23/3.40 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 3.23/3.40
% 3.23/3.40 #||
% 3.23/3.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.23/3.40 % SZS output start Refutation
% See solution above
% 3.23/3.40 ||#
% 3.23/3.40
% 3.23/3.40 ; Summary of computation:
% 3.23/3.40 ; 11463 formulas have been input or derived (from 552 formulas).
% 3.23/3.40 ; 3459 (30%) were retained. Of these,
% 3.23/3.40 ; 164 ( 5%) were simplified or subsumed later,
% 3.23/3.40 ; 3295 (95%) are still being kept.
% 3.23/3.40 ;
% 3.23/3.40 ; Run time in seconds excluding printing time:
% 3.23/3.40 ; 0.204 7% Read assertion file (1 call)
% 3.23/3.40 ; 0.021 1% Assert (1,121 calls)
% 3.23/3.40 ; 0.269 9% Process new row (10,159 calls)
% 3.23/3.40 ; 0.232 8% Resolution (1,102 calls)
% 3.23/3.40 ; 0.053 2% Paramodulation (551 calls)
% 3.23/3.40 ; 0.000 0% Factoring (13 calls)
% 3.23/3.40 ; 0.063 2% Condensing (4,251 calls)
% 3.23/3.40 ; 0.178 6% Forward subsumption (4,251 calls)
% 3.23/3.40 ; 0.101 4% Backward subsumption (2,237 calls)
% 3.23/3.40 ; 0.056 2% Clause clause subsumption (18,481 calls)
% 3.23/3.40 ; 0.359 12% Forward simplification (10,025 calls)
% 3.23/3.40 ; 0.041 1% Backward simplification (3,430 calls)
% 3.23/3.40 ; 1.213 42% Ordering (31,329 calls)
% 3.23/3.40 ; 0.000 0% Sortal reasoning (32 calls)
% 3.23/3.40 ; 0.012 0% Purity testing (1 call)
% 3.23/3.40 ; 0.076 3% Other
% 3.23/3.40 ; 2.878 Total
% 3.23/3.40 ; 2.881 Real time
% 3.23/3.40 ;
% 3.23/3.40 ; Term-hash-array has 5,968 terms in all.
% 3.23/3.40 ; Feature-vector-row-index has 2,181 entries (2,181 at peak, 2,237 added, 56 deleted).
% 3.23/3.40 ; Feature-vector-row-index has 8,425 nodes (8,425 at peak, 8,854 added, 429 deleted).
% 3.23/3.40 ; Retrieved 28,486 possibly forward subsuming rows in 4,251 calls.
% 3.23/3.40 ; Retrieved 2,672 possibly backward subsumed rows in 2,237 calls.
% 3.23/3.40 ; Path-index has 5,743 entries (5,743 at peak, 6,069 added, 326 deleted).
% 3.23/3.40 ; Path-index has 23,114 nodes (23,114 at peak, 25,092 added, 1,978 deleted).
% 3.23/3.40 ; Trie-index has 5,743 entries (5,743 at peak, 6,069 added, 326 deleted).
% 3.23/3.40 ; Trie-index has 27,305 nodes (27,305 at peak, 32,068 added, 4,763 deleted).
% 3.23/3.40 ; Retrieved 50,168 generalization terms in 50,271 calls.
% 3.23/3.40 ; Retrieved 3,668 instance terms in 1,359 calls.
% 3.23/3.40 ; Retrieved 302,822 unifiable terms in 5,683 calls.
% 3.23/3.40 ;
% 3.23/3.40 ; The agenda of rows to process has 3 entries:
% 3.23/3.40 ; 1 with value 20 1 with value 28 1 with value 33
% 3.23/3.40 ; The agenda of input rows to give has 228 entries:
% 3.23/3.40 ; 47 with value 24 12 with value 32 2 with value 40
% 3.23/3.40 ; 23 with value 25 6 with value 33 3 with value 42
% 3.23/3.40 ; 12 with value 26 6 with value 34 8 with value 43
% 3.23/3.40 ; 46 with value 27 7 with value 35 8 with value 44
% 3.23/3.40 ; 10 with value 28 1 with value 36 2 with value 46
% 3.23/3.40 ; 8 with value 29 3 with value 37 1 with value 49
% 3.23/3.40 ; 6 with value 30 4 with value 38 3 with value 51
% 3.23/3.40 ; 3 with value 31 6 with value 39 1 with value 53
% 3.23/3.40 ; The agenda of rows to give has 2519 entries:
% 3.23/3.40 ; 1 with value (4 4) 102 with value (4 25) 5 with value (4 45)
% 3.23/3.40 ; 2 with value (4 5) 168 with value (4 26) 12 with value (4 46)
% 3.23/3.40 ; 2 with value (4 6) 118 with value (4 27) 4 with value (4 47)
% 3.23/3.40 ; 17 with value (4 7) 72 with value (4 28) 5 with value (4 49)
% 3.23/3.40 ; 9 with value (4 8) 71 with value (4 29) 10 with value (4 50)
% 3.23/3.40 ; 14 with value (4 9) 86 with value (4 30) 1 with value (4 51)
% 3.23/3.40 ; 21 with value (4 10) 63 with value (4 31) 2 with value (4 52)
% 3.23/3.40 ; 28 with value (4 11) 67 with value (4 32) 1 with value (4 55)
% 3.23/3.40 ; 28 with value (4 12) 59 with value (4 33) 2 with value (4 56)
% 3.23/3.40 ; 51 with value (4 13) 72 with value (4 34) 1 with value (4 60)
% 3.23/3.40 ; 62 with value (4 14) 39 with value (4 35) 1 with value (4 63)
% 3.23/3.40 ; 89 with value (4 15) 40 with value (4 36) 4 with value (4 80)
% 3.23/3.40 ; 89 with value (4 16) 45 with value (4 37) 6 with value (4 83)
% 3.23/3.40 ; 129 with value (4 17) 34 with value (4 38) 1 with value (4 84)
% 3.23/3.40 ; 125 with value (4 18) 32 with value (4 39) 4 with value (4 87)
% 3.23/3.40 ; 104 with value (4 19) 25 with value (4 40) 1 with value (4 91)
% 3.23/3.40 ; 124 with value (4 20) 10 with value (4 41) 1 with value (4 163)
% 3.23/3.40 ; 91 with value (4 21) 12 with value (4 42) 2 with value (4 176)
% 3.23/3.40 ; 127 with value (4 22) 8 with value (4 43) 1 with value (4 234)
% 3.23/3.40 ; 106 with value (4 23) 2 with value (4 44) 1 with value (4 353)
% 3.23/3.40 ; 110 with value (4 24)
% 3.23/3.40 Evaluation took:
% 3.23/3.40 2.882 seconds of real time
% 3.23/3.40 2.688661 seconds of user run time
% 3.23/3.40 0.19293 seconds of system run time
% 3.23/3.40 [Run times include 0.225 seconds GC run time.]
% 3.23/3.40 0 calls to %EVAL
% 3.23/3.40 0 page faults and
% 3.23/3.40 191,350,520 bytes consed.
% 3.23/3.40 :PROOF-FOUND
% 3.23/3.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:01:02
% 3.23/3.40 :PROOF-FOUND
% 3.23/3.40 *
%------------------------------------------------------------------------------