%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 21:32:20 EDT 2022
% Result : Unsatisfiable 1.98s 2.20s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 11 RR)
% Number of literals : 32 ( 6 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__mono_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(Y),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
c_union(c_minus(X,Y,tc_set(Z)),Y,Z) = c_union(X,Y,Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
cnf(cls_Set_OUn__subset__iff_0,axiom,
( ~ c_lessequals(c_union(X,Y,Z),U,tc_set(Z))
| c_lessequals(X,U,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
cnf(cls_Set_OUn__subset__iff_1,axiom,
( ~ c_lessequals(c_union(X,Y,Z),U,tc_set(Z))
| c_lessequals(Y,U,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,Y,tc_set(Z))
| c_lessequals(c_union(U,X,Z),Y,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
cnf(cls_Set_Oinsert__Diff1_0,axiom,
( ~ c_in(X,Y,Z)
| c_minus(c_insert(X,U,Z),Y,tc_set(Z)) = c_minus(U,Y,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(Y,X,tc_set(Z))
| Y = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(14,plain,
c_lessequals(X,c_union(X,Y,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_0,cls_Set_Osubset__refl_0]) ).
cnf(16,plain,
c_lessequals(X,c_union(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_1,cls_Set_Osubset__refl_0]) ).
cnf(19,plain,
c_minus(c_insert(v_X,X,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__Diff1_0,cls_conjecture_0]) ).
cnf(22,plain,
c_lessequals(c_Message_Oanalz(X),c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__mono_0,14]) ).
cnf(34,plain,
c_lessequals(c_union(X,Y,Z),c_union(Y,X,Z),tc_set(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUn__subset__iff_2,16,14]) ).
cnf(43,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_insert(v_X,v_H,tc_Message_Omsg),X,tc_Message_Omsg)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,22,cls_conjecture_1]) ).
cnf(64,plain,
c_union(X,Y,Z) = c_union(Y,X,Z),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_Osubset__antisym_0,34,34]) ).
cnf(72,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_Message_Omsg),
inference('PARAMODULATE',[status(thm)],[cls_conjecture_2,64,theory(equality)]) ).
cnf(3806,plain,
c_union(X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_union(c_insert(v_X,X,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Set_OUn__Diff__cancel2_0,19,theory(equality)]),cls_Set_OUn__Diff__cancel2_0,theory(equality)]) ).
cnf(3820,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,3806,theory(equality)]),72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 03:58:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T03:58:55
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-15T03:58:55
% 1.98/2.20
% 1.98/2.20
% 1.98/2.20 #||
% 1.98/2.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.98/2.20 % SZS output start Refutation
% See solution above
% 1.98/2.20 ||#
% 1.98/2.20
% 1.98/2.20 ; Summary of computation:
% 1.98/2.20 ; 10460 formulas have been input or derived (from 141 formulas).
% 1.98/2.20 ; 3820 (37%) were retained. Of these,
% 1.98/2.20 ; 29 ( 1%) were simplified or subsumed later,
% 1.98/2.20 ; 3791 (99%) are still being kept.
% 1.98/2.20 ;
% 1.98/2.20 ; Run time in seconds excluding printing time:
% 1.98/2.20 ; 0.004 0% Read assertion file (1 call)
% 1.98/2.20 ; 0.000 0% Assert (13 calls)
% 1.98/2.20 ; 0.321 19% Process new row (9,947 calls)
% 1.98/2.20 ; 0.337 20% Resolution (280 calls)
% 1.98/2.20 ; 0.044 3% Paramodulation (140 calls)
% 1.98/2.20 ; 0.000 0% Condensing (35 calls)
% 1.98/2.20 ; 0.001 0% Forward subsumption (35 calls)
% 1.98/2.20 ; 0.000 0% Backward subsumption (18 calls)
% 1.98/2.20 ; 0.001 0% Clause clause subsumption (103 calls)
% 1.98/2.20 ; 0.518 30% Forward simplification (9,827 calls)
% 1.98/2.20 ; 0.421 25% Backward simplification (3,820 calls)
% 1.98/2.20 ; 0.004 0% Ordering (1,596 calls)
% 1.98/2.20 ; 0.001 0% Sortal reasoning (32 calls)
% 1.98/2.20 ; 0.000 0% Purity testing (1 call)
% 1.98/2.20 ; 0.060 4% Other
% 1.98/2.20 ; 1.712 Total
% 1.98/2.20 ; 1.715 Real time
% 1.98/2.20 ;
% 1.98/2.20 ; Term-hash-array has 6,552 terms in all.
% 1.98/2.20 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 1.98/2.20 ; Feature-vector-row-index has 52 nodes (52 at peak, 52 added, 0 deleted).
% 1.98/2.20 ; Retrieved 125 possibly forward subsuming rows in 35 calls.
% 1.98/2.20 ; Retrieved 16 possibly backward subsumed rows in 18 calls.
% 1.98/2.20 ; Path-index has 6,526 entries (6,526 at peak, 6,559 added, 33 deleted).
% 1.98/2.20 ; Path-index has 6,482 nodes (6,482 at peak, 6,489 added, 7 deleted).
% 1.98/2.20 ; Trie-index has 6,526 entries (6,526 at peak, 6,559 added, 33 deleted).
% 1.98/2.20 ; Trie-index has 19,864 nodes (19,864 at peak, 19,959 added, 95 deleted).
% 1.98/2.20 ; Retrieved 296,754 generalization terms in 33,624 calls.
% 1.98/2.20 ; Retrieved 101,112 instance terms in 3,801 calls.
% 1.98/2.20 ; Retrieved 309,821 unifiable terms in 6,656 calls.
% 1.98/2.20 ;
% 1.98/2.20 ; The agenda of rows to process has 99 entries:
% 1.98/2.20 ; 2 with value 20 3 with value 26 9 with value 31
% 1.98/2.20 ; 3 with value 21 10 with value 27 4 with value 32
% 1.98/2.20 ; 2 with value 22 15 with value 28 5 with value 33
% 1.98/2.20 ; 4 with value 23 16 with value 29 2 with value 34
% 1.98/2.20 ; 4 with value 24 16 with value 30 2 with value 35
% 1.98/2.20 ; 2 with value 25
% 1.98/2.20 ; The agenda of rows to give has 3653 entries:
% 1.98/2.20 ; 1 with value (4 22) 467 with value (4 31) 196 with value (4 40)
% 1.98/2.20 ; 36 with value (4 23) 219 with value (4 32) 144 with value (4 41)
% 1.98/2.20 ; 56 with value (4 24) 313 with value (4 33) 20 with value (4 42)
% 1.98/2.20 ; 91 with value (4 25) 156 with value (4 34) 16 with value (4 43)
% 1.98/2.20 ; 112 with value (4 26) 154 with value (4 35) 52 with value (4 44)
% 1.98/2.20 ; 229 with value (4 27) 166 with value (4 36) 32 with value (4 46)
% 1.98/2.20 ; 173 with value (4 28) 216 with value (4 37) 32 with value (4 47)
% 1.98/2.20 ; 124 with value (4 29) 216 with value (4 38) 16 with value (4 49)
% 1.98/2.20 ; 288 with value (4 30) 128 with value (4 39)
% 1.98/2.20 Evaluation took:
% 1.98/2.20 1.715 seconds of real time
% 1.98/2.20 1.62213 seconds of user run time
% 1.98/2.20 0.092589 seconds of system run time
% 1.98/2.20 [Run times include 0.136 seconds GC run time.]
% 1.98/2.20 0 calls to %EVAL
% 1.98/2.20 0 page faults and
% 1.98/2.20 133,142,608 bytes consed.
% 1.98/2.20 :PROOF-FOUND
% 1.98/2.20 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T03:58:57
% 1.98/2.20 :PROOF-FOUND
% 1.98/2.20 *
%------------------------------------------------------------------------------