TSTP Solution File: SWV580-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV580-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 21:35:21 EDT 2022
% Result : Unsatisfiable 0.73s 0.93s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 16 unt; 0 nHn; 13 RR)
% Number of literals : 26 ( 16 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
c_Collect(X,Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(c_fequal(X,Y),Y) = c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(338,plain,
c_fequal(X,Y) = c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),Y),
inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).
cnf(cls_less_0,axiom,
c_HOL_Oord__class_Oless(v_m,v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less_0) ).
cnf(cls_atLeastSucLessThan__greaterThanLessThan_0,axiom,
c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(X),Y,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(X,Y,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastSucLessThan__greaterThanLessThan_0) ).
cnf(cls_ivl__disj__un_I3_J_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),X),c_SetInterval_Oord__class_OgreaterThanLessThan(Y,Z,X),tc_fun(X,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(Y,Z,X)
| ~ c_HOL_Oord__class_Oless(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ivl__disj__un_I3_J_0) ).
cnf(406,plain,
( ~ class_Orderings_Olinorder(X)
| c_Lattices_Oupper__semilattice__class_Osup(c_fequal(Y,X),c_SetInterval_Oord__class_OgreaterThanLessThan(Y,Z,X),tc_fun(X,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(Y,Z,X)
| ~ c_HOL_Oord__class_Oless(Y,Z,X) ),
inference('REWRITE',[status(thm)],[cls_ivl__disj__un_I3_J_0,338,theory(equality)]) ).
cnf(cls_calculation_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_a)
| c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a),t_a) = c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_0) ).
cnf(408,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(t_a)
| c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_nat,t_a),t_a) = c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_fequal(v_m,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) ),
inference('REWRITE',[status(thm)],[cls_calculation_0,338,cls_atLeastSucLessThan__greaterThanLessThan_0,theory(equality)]) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Z,tc_bool)),Z),Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(453,plain,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_fequal(X,Z),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,338,theory(equality)]) ).
cnf(tfree_tcs,negated_conjecture,
class_OrderedGroup_Ocomm__monoid__add(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_m,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(459,plain,
c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_fequal(v_m,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_atLeastSucLessThan__greaterThanLessThan_0,cls_Un__empty__right_0,453,theory(equality)]) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(507,plain,
c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_nat,t_a),t_a) = c_Finite__Set_Osetsum(v_f,c_Lattices_Oupper__semilattice__class_Osup(c_fequal(v_m,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat,t_a),
inference('REWRITE',[status(thm)],[408,tfree_tcs]) ).
cnf(508,plain,
c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_nat,t_a),t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference('REWRITE',[status(thm)],[459,507,theory(equality)]) ).
cnf(1052,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_fequal(v_m,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(v_m),v_n,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[406,clsarity_nat__Orderings_Olinorder,cls_less_0]),cls_atLeastSucLessThan__greaterThanLessThan_0,theory(equality)]) ).
cnf(1053,plain,
$false,
inference('REWRITE',[status(thm)],[507,508,1052,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV580-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 15 12:48:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-15T12:48:56
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-15T12:48:56
% 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_OrderedGroup_Olordered__ab__group__add__join| 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__meet| 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 |c_Complete__Lattice_Ocomplete__lattice| is a 9-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_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_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_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_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.
% 0.73/0.93 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.73/0.93
% 0.73/0.93 #||
% 0.73/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.93 % SZS output start Refutation
% See solution above
% 0.73/0.93 ||#
% 0.73/0.93
% 0.73/0.93 ; Summary of computation:
% 0.73/0.93 ; 2836 formulas have been input or derived (from 350 formulas).
% 0.73/0.93 ; 1053 (37%) were retained. Of these,
% 0.73/0.93 ; 148 (14%) were simplified or subsumed later,
% 0.73/0.93 ; 905 (86%) are still being kept.
% 0.73/0.93 ;
% 0.73/0.93 ; Run time in seconds excluding printing time:
% 0.73/0.93 ; 0.122 27% Read assertion file (1 call)
% 0.73/0.93 ; 0.012 3% Assert (601 calls)
% 0.73/0.93 ; 0.072 16% Process new row (2,440 calls)
% 0.73/0.93 ; 0.046 10% Resolution (698 calls)
% 0.73/0.93 ; 0.013 3% Paramodulation (349 calls)
% 0.73/0.93 ; 0.000 0% Factoring (3 calls)
% 0.73/0.93 ; 0.023 5% Condensing (877 calls)
% 0.73/0.93 ; 0.025 5% Forward subsumption (877 calls)
% 0.73/0.93 ; 0.009 2% Backward subsumption (516 calls)
% 0.73/0.93 ; 0.024 5% Clause clause subsumption (1,214 calls)
% 0.73/0.93 ; 0.035 8% Forward simplification (2,374 calls)
% 0.73/0.93 ; 0.020 4% Backward simplification (1,006 calls)
% 0.73/0.93 ; 0.023 5% Ordering (3,052 calls)
% 0.73/0.93 ; 0.000 0% Sortal reasoning (32 calls)
% 0.73/0.93 ; 0.002 0% Purity testing (1 call)
% 0.73/0.93 ; 0.029 6% Other
% 0.73/0.93 ; 0.455 Total
% 0.73/0.93 ; 0.457 Real time
% 0.73/0.93 ;
% 0.77/0.93 ; Term-hash-array has 2,124 terms in all.
% 0.77/0.93 ; Feature-vector-row-index has 469 entries (469 at peak, 516 added, 47 deleted).
% 0.77/0.93 ; Feature-vector-row-index has 2,075 nodes (2,075 at peak, 2,482 added, 407 deleted).
% 0.77/0.93 ; Retrieved 1,597 possibly forward subsuming rows in 877 calls.
% 0.77/0.93 ; Retrieved 299 possibly backward subsumed rows in 516 calls.
% 0.77/0.93 ; Path-index has 1,876 entries (1,878 at peak, 2,203 added, 327 deleted).
% 0.77/0.93 ; Path-index has 5,983 nodes (5,997 at peak, 6,875 added, 892 deleted).
% 0.77/0.93 ; Trie-index has 1,876 entries (1,878 at peak, 2,203 added, 327 deleted).
% 0.77/0.93 ; Trie-index has 8,120 nodes (8,148 at peak, 10,731 added, 2,611 deleted).
% 0.77/0.93 ; Retrieved 5,904 generalization terms in 6,627 calls.
% 0.77/0.93 ; Retrieved 1,263 instance terms in 574 calls.
% 0.77/0.93 ; Retrieved 50,432 unifiable terms in 2,874 calls.
% 0.77/0.93 ;
% 0.77/0.93 ; The agenda of rows to process has 6 entries:
% 0.77/0.93 ; 1 with value 23 1 with value 28 1 with value 30
% 0.77/0.93 ; 1 with value 26 2 with value 29
% 0.77/0.93 ; The agenda of input rows to give has 74 entries:
% 0.77/0.93 ; 6 with value 27 12 with value 32 1 with value 39
% 0.77/0.93 ; 9 with value 28 11 with value 33 2 with value 40
% 0.77/0.93 ; 3 with value 29 5 with value 35 2 with value 45
% 0.77/0.93 ; 3 with value 30 1 with value 36 1 with value 48
% 0.77/0.93 ; 9 with value 31 8 with value 38 1 with value 84
% 0.77/0.93 ; The agenda of rows to give has 485 entries:
% 0.77/0.93 ; 2 with value (4 4) 15 with value (4 17) 11 with value (4 29)
% 0.77/0.93 ; 7 with value (4 6) 33 with value (4 18) 2 with value (4 30)
% 0.77/0.93 ; 20 with value (4 7) 23 with value (4 19) 4 with value (4 31)
% 0.77/0.93 ; 9 with value (4 8) 24 with value (4 20) 9 with value (4 32)
% 0.77/0.93 ; 6 with value (4 9) 42 with value (4 21) 7 with value (4 33)
% 0.77/0.93 ; 19 with value (4 10) 34 with value (4 22) 2 with value (4 34)
% 0.77/0.93 ; 23 with value (4 11) 20 with value (4 23) 7 with value (4 35)
% 0.77/0.93 ; 20 with value (4 12) 8 with value (4 24) 1 with value (4 36)
% 0.77/0.93 ; 22 with value (4 13) 14 with value (4 25) 1 with value (4 37)
% 0.77/0.93 ; 16 with value (4 14) 21 with value (4 26) 2 with value (4 38)
% 0.77/0.93 ; 14 with value (4 15) 5 with value (4 27) 11 with value (4 39)
% 0.77/0.93 ; 19 with value (4 16) 11 with value (4 28) 1 with value (4 43)
% 0.77/0.93 Evaluation took:
% 0.77/0.93 0.458 seconds of real time
% 0.77/0.93 0.425392 seconds of user run time
% 0.77/0.93 0.032877 seconds of system run time
% 0.77/0.93 [Run times include 0.022 seconds GC run time.]
% 0.77/0.93 0 calls to %EVAL
% 0.77/0.93 0 page faults and
% 0.77/0.93 30,947,056 bytes consed.
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T12:48:56
% 0.77/0.93 :PROOF-FOUND
% 0.77/0.93 *
%------------------------------------------------------------------------------