TSTP Solution File: SWW207+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW207+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 01:24:41 EDT 2022
% Result : Theorem 85.34s 85.55s
% Output : Refutation 85.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of clauses : 21 ( 18 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 11 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rp) ).
cnf(81,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).
cnf(152,axiom,
( ~ class_Groups_Oordered__comm__monoid__add(X)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X,c_Groups_Ozero__class_Ozero(X)),Y))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X,Z),U))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X,Z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X),Y),U))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__increasing) ).
cnf(257,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X),Y),Z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X),Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
cnf(374,axiom,
c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__zero) ).
cnf(662,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__1) ).
cnf(679,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natfloor__add__one__gt) ).
cnf(770,axiom,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_One__nat__def) ).
cnf(807,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc) ).
cnf(1179,axiom,
c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_i__def) ).
cnf(1210,axiom,
c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X,Y)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex_Osize_I1_J) ).
cnf(1384,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
cnf(1411,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
cnf(1527,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,'SKOLEMAAAV76'(X))))))),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1530,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_RComplete_Onatfloor(X))))),
inference('REWRITE',[status(thm)],[679,807,theory(equality)]) ).
cnf(1729,plain,
c_Complex_Ocomplex_Ocomplex__size(c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference('PARAMODULATE',[status(thm)],[1210,1179,theory(equality)]) ).
cnf(1755,plain,
c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Ocomplex_Ocomplex__size(c_Complex_Oii),
inference('REWRITE',[status(thm)],[374,1729,theory(equality)]) ).
cnf(1807,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Complex_Ocomplex_Ocomplex__size(c_Complex_Oii)),
inference('REWRITE',[status(thm)],[770,1729,theory(equality)]) ).
cnf(3143,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X),Y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),Y),X),
inference('HYPERRESOLVE',[status(thm)],[257,1411]) ).
cnf(20951,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference('UR-RESOLVE',[status(thm)],[1527,81]) ).
cnf(22037,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[152,1384,1530,4]),20951,3143,662,1807,1755,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW207+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n018.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 : Sun Jun 5 07:26:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T07:26:03
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-05T07:26:03
% 0.57/0.78 WARNING:
% 0.57/0.78 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 85.34/85.55
% 85.34/85.55
% 85.34/85.55 #||
% 85.34/85.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.34/85.55 % SZS output start Refutation
% See solution above
% 85.34/85.55 ||#
% 85.34/85.55
% 85.34/85.55 ; Summary of computation:
% 85.34/85.55 ; 375106 formulas have been input or derived (from 1205 formulas).
% 85.34/85.55 ; 22037 ( 6%) were retained. Of these,
% 85.34/85.55 ; 712 ( 3%) were simplified or subsumed later,
% 85.34/85.55 ; 21325 (97%) are still being kept.
% 85.34/85.55 ;
% 85.34/85.55 ; Run time in seconds excluding printing time:
% 85.34/85.55 ; 0.252 0% Read assertion file (1 call)
% 85.34/85.55 ; 0.032 0% Assert (1,269 calls)
% 85.34/85.55 ; 5.921 7% Process new row (357,689 calls)
% 85.34/85.55 ; 13.001 15% Resolution (2,408 calls)
% 85.34/85.55 ; 0.510 1% Paramodulation (1,204 calls)
% 85.34/85.55 ; 0.000 0% Factoring (25 calls)
% 85.34/85.55 ; 0.993 1% Condensing (57,157 calls)
% 85.34/85.55 ; 24.896 29% Forward subsumption (57,157 calls)
% 85.34/85.55 ; 2.541 3% Backward subsumption (14,005 calls)
% 85.34/85.55 ; 1.558 2% Clause clause subsumption (185,523 calls)
% 85.34/85.55 ; 24.732 29% Forward simplification (351,111 calls)
% 85.34/85.55 ; 0.374 0% Backward simplification (22,000 calls)
% 85.34/85.55 ; 8.890 10% Ordering (1,525,241 calls)
% 85.34/85.55 ; 0.001 0% Sortal reasoning (32 calls)
% 85.34/85.55 ; 0.003 0% Purity testing (1 call)
% 85.34/85.55 ; 1.331 2% Other
% 85.34/85.55 ; 85.035 Total
% 85.34/85.55 ; 85.069 Real time
% 85.34/85.56 ;
% 85.35/85.57 ; Term-hash-array has 64,773 terms in all.
% 85.35/85.57 ; Feature-vector-row-index has 13,631 entries (13,631 at peak, 14,005 added, 374 deleted).
% 85.35/85.57 ; Feature-vector-row-index has 125,412 nodes (125,412 at peak, 129,296 added, 3,884 deleted).
% 85.35/85.57 ; Retrieved 566,408 possibly forward subsuming rows in 57,157 calls.
% 85.35/85.57 ; Retrieved 18,744 possibly backward subsumed rows in 14,005 calls.
% 85.35/85.57 ; Path-index has 63,648 entries (63,648 at peak, 65,173 added, 1,525 deleted).
% 85.35/85.57 ; Path-index has 115,182 nodes (115,182 at peak, 116,400 added, 1,218 deleted).
% 85.35/85.57 ; Trie-index has 63,648 entries (63,648 at peak, 65,173 added, 1,525 deleted).
% 85.35/85.57 ; Trie-index has 414,067 nodes (414,067 at peak, 424,016 added, 9,949 deleted).
% 85.35/85.57 ; Retrieved 2,708,289 generalization terms in 4,138,472 calls.
% 85.35/85.57 ; Retrieved 22,794 instance terms in 13,399 calls.
% 85.35/85.57 ; Retrieved 13,836,475 unifiable terms in 97,980 calls.
% 85.35/85.57 ;
% 85.35/85.57 ; The agenda of rows to process has 510 entries:
% 85.35/85.57 ; 5 with value 26 17 with value 41 10 with value 56
% 85.35/85.57 ; 17 with value 27 15 with value 42 16 with value 57
% 85.35/85.57 ; 20 with value 28 7 with value 43 2 with value 58
% 85.35/85.57 ; 41 with value 29 7 with value 44 2 with value 59
% 85.35/85.57 ; 20 with value 30 7 with value 45 14 with value 60
% 85.35/85.57 ; 19 with value 31 5 with value 46 2 with value 61
% 85.35/85.57 ; 33 with value 32 4 with value 47 10 with value 62
% 85.35/85.57 ; 13 with value 33 14 with value 48 4 with value 63
% 85.35/85.57 ; 18 with value 34 12 with value 49 2 with value 65
% 85.35/85.57 ; 11 with value 35 10 with value 50 2 with value 67
% 85.35/85.57 ; 31 with value 36 10 with value 51 4 with value 68
% 85.35/85.57 ; 21 with value 37 10 with value 52 4 with value 70
% 85.35/85.57 ; 16 with value 38 12 with value 54 2 with value 75
% 85.35/85.57 ; 16 with value 39 5 with value 55 12 with value 77
% 85.35/85.57 ; 8 with value 40
% 85.35/85.57 ; The agenda of input rows to give has 274 entries:
% 85.35/85.57 ; 20 with value 39 7 with value 52 6 with value 65
% 85.35/85.57 ; 12 with value 40 10 with value 53 2 with value 66
% 85.35/85.57 ; 18 with value 41 4 with value 54 1 with value 67
% 85.35/85.57 ; 41 with value 42 6 with value 55 1 with value 68
% 85.35/85.57 ; 22 with value 43 2 with value 56 4 with value 69
% 85.35/85.57 ; 15 with value 44 4 with value 57 4 with value 70
% 85.35/85.57 ; 30 with value 45 2 with value 58 1 with value 71
% 85.35/85.57 ; 11 with value 46 3 with value 60 2 with value 72
% 85.35/85.57 ; 7 with value 47 1 with value 61 2 with value 85
% 85.35/85.57 ; 6 with value 48 2 with value 62 1 with value 87
% 85.35/85.57 ; 4 with value 49 5 with value 63 1 with value 102
% 85.35/85.57 ; 6 with value 50 7 with value 64 1 with value 103
% 85.35/85.57 ; 3 with value 51
% 85.35/85.57 ; The agenda of rows to give has 19871 entries:
% 85.35/85.57 ; 3 with value (4 4) 475 with value (4 42) 97 with value (4 80)
% 85.35/85.57 ; 1 with value (4 5) 339 with value (4 43) 10 with value (4 81)
% 85.35/85.57 ; 159 with value (4 6) 407 with value (4 44) 45 with value (4 82)
% 85.35/85.57 ; 14 with value (4 7) 565 with value (4 45) 29 with value (4 83)
% 85.35/85.57 ; 10 with value (4 8) 625 with value (4 46) 47 with value (4 84)
% 85.35/85.57 ; 9 with value (4 9) 518 with value (4 47) 5 with value (4 85)
% 85.35/85.57 ; 25 with value (4 10) 348 with value (4 48) 24 with value (4 86)
% 85.35/85.57 ; 37 with value (4 11) 321 with value (4 49) 33 with value (4 87)
% 85.35/85.57 ; 59 with value (4 12) 459 with value (4 50) 28 with value (4 88)
% 85.35/85.57 ; 87 with value (4 13) 351 with value (4 51) 2 with value (4 89)
% 85.35/85.57 ; 63 with value (4 14) 388 with value (4 52) 4 with value (4 90)
% 85.35/85.57 ; 88 with value (4 15) 233 with value (4 53) 6 with value (4 91)
% 85.35/85.57 ; 45 with value (4 16) 383 with value (4 54) 10 with value (4 92)
% 85.35/85.57 ; 78 with value (4 17) 429 with value (4 55) 10 with value (4 93)
% 85.35/85.57 ; 117 with value (4 18) 400 with value (4 56) 16 with value (4 94)
% 85.35/85.57 ; 144 with value (4 19) 265 with value (4 57) 19 with value (4 95)
% 85.35/85.57 ; 159 with value (4 20) 230 with value (4 58) 6 with value (4 96)
% 85.35/85.57 ; 200 with value (4 21) 198 with value (4 59) 18 with value (4 97)
% 85.35/85.57 ; 160 with value (4 22) 331 with value (4 60) 8 with value (4 98)
% 85.35/85.57 ; 380 with value (4 23) 251 with value (4 61) 20 with value (4 99)
% 85.35/85.57 ; 277 with value (4 24) 174 with value (4 62) 38 with value (4 100)
% 85.35/85.57 ; 271 with value (4 25) 207 with value (4 63) 26 with value (4 101)
% 85.35/85.57 ; 315 with value (4 26) 150 with value (4 64) 8 with value (4 103)
% 85.35/85.57 ; 284 with value (4 27) 181 with value (4 65) 4 with value (4 105)
% 85.35/85.57 ; 363 with value (4 28) 134 with value (4 66) 2 with value (4 107)
% 85.35/85.57 ; 389 with value (4 29) 178 with value (4 67) 4 with value (4 108)
% 85.35/85.57 ; 507 with value (4 30) 347 with value (4 68) 6 with value (4 109)
% 85.35/85.57 ; 325 with value (4 31) 123 with value (4 69) 18 with value (4 110)
% 85.35/85.57 ; 350 with value (4 32) 129 with value (4 70) 16 with value (4 111)
% 85.35/85.57 ; 521 with value (4 33) 68 with value (4 71) 2 with value (4 113)
% 85.35/85.57 ; 591 with value (4 34) 44 with value (4 72) 2 with value (4 115)
% 85.35/85.57 ; 594 with value (4 35) 133 with value (4 73) 4 with value (4 119)
% 85.35/85.57 ; 436 with value (4 36) 129 with value (4 74) 24 with value (4 121)
% 85.35/85.57 ; 323 with value (4 37) 144 with value (4 75) 1 with value (4 126)
% 85.35/85.57 ; 500 with value (4 38) 104 with value (4 76) 2 with value (4 133)
% 85.35/85.57 ; 395 with value (4 39) 82 with value (4 77) 2 with value (4 144)
% 85.35/85.57 ; 578 with value (4 40) 29 with value (4 78) 2 with value (4 152)
% 85.35/85.57 ; 515 with value (4 41) 29 with value (4 79)
% 85.35/85.57 Evaluation took:
% 85.35/85.57 85.085 seconds of real time
% 85.35/85.57 79.92993 seconds of user run time
% 85.35/85.57 5.122616 seconds of system run time
% 85.35/85.57 [Run times include 20.752 seconds GC run time.]
% 85.35/85.57 0 calls to %EVAL
% 85.35/85.57 0 page faults and
% 85.35/85.57 5,313,740,792 bytes consed.
% 85.35/85.57 :PROOF-FOUND
% 85.35/85.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T07:27:28
% 85.35/85.57 :PROOF-FOUND
% 85.35/85.57 *
%------------------------------------------------------------------------------