TSTP Solution File: SWW192+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW192+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 01:24:40 EDT 2022
% Result : Theorem 8.51s 8.72s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 16 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).
cnf(3,axiom,
v_z = c_Complex_Ocomplex_OComplex(v_x____,v_y____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_z) ).
cnf(54,axiom,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X,Y)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),Y),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__norm) ).
cnf(137,axiom,
( ~ class_Groups_Omonoid__mult(X)
| hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_power2__eq__square) ).
cnf(210,axiom,
( c_NthRoot_Osqrt(X) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| X = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sqrt__eq__1__iff) ).
cnf(564,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(605,axiom,
c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_semiring__norm_I115_J) ).
cnf(606,plain,
c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference('REWRITE',[status(thm)],[605,564,theory(equality)]) ).
cnf(1464,axiom,
class_Groups_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__mult) ).
cnf(1553,negated_conjecture,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1554,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1553,606,theory(equality)]) ).
cnf(1566,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X,Y)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),Y),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference('REWRITE',[status(thm)],[54,606,theory(equality)]) ).
cnf(1575,plain,
( ~ class_Groups_Omonoid__mult(X)
| hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),Y) ),
inference('REWRITE',[status(thm)],[137,606,theory(equality)]) ).
cnf(4690,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X),X),
inference('HYPERRESOLVE',[status(thm)],[1575,1464]) ).
cnf(4691,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_x____),v_x____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_y____),v_y____)) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1554,4690,theory(equality)]) ).
cnf(4693,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X,Y)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X),X),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),Y),Y))),
inference('REWRITE',[status(thm)],[1566,4690,theory(equality)]) ).
cnf(4740,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[210,4691]),2,3,4693,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW192+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jun 5 12:31:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T12:31:15
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T12:31:15
% 0.52/0.71
% 0.52/0.72 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.52/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.52/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.52/0.75 WARNING:
% 0.52/0.75 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.75 WARNING:
% 0.52/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.75 WARNING:
% 0.52/0.75 |hBOOL| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 8.51/8.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 8.51/8.72
% 8.51/8.72 #||
% 8.51/8.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.51/8.72 % SZS output start Refutation
% See solution above
% 8.51/8.73 ||#
% 8.51/8.73
% 8.51/8.73 ; Summary of computation:
% 8.51/8.73 ; 152753 formulas have been input or derived (from 898 formulas).
% 8.51/8.73 ; 4740 ( 3%) were retained. Of these,
% 8.51/8.73 ; 566 (12%) were simplified or subsumed later,
% 8.51/8.73 ; 4174 (88%) are still being kept.
% 8.51/8.73 ;
% 8.51/8.73 ; Run time in seconds excluding printing time:
% 8.51/8.73 ; 0.220 3% Read assertion file (1 call)
% 8.51/8.73 ; 0.033 0% Assert (1,231 calls)
% 8.51/8.73 ; 0.627 8% Process new row (145,660 calls)
% 8.51/8.73 ; 2.324 28% Resolution (1,794 calls)
% 8.51/8.73 ; 0.051 1% Paramodulation (897 calls)
% 8.51/8.73 ; 0.000 0% Factoring (11 calls)
% 8.51/8.73 ; 0.121 1% Condensing (12,705 calls)
% 8.51/8.73 ; 0.308 4% Forward subsumption (12,705 calls)
% 8.51/8.73 ; 0.101 1% Backward subsumption (2,522 calls)
% 8.51/8.73 ; 0.182 2% Clause clause subsumption (19,864 calls)
% 8.51/8.73 ; 3.350 41% Forward simplification (145,601 calls)
% 8.51/8.73 ; 0.045 1% Backward simplification (4,649 calls)
% 8.51/8.73 ; 0.454 6% Ordering (166,728 calls)
% 8.51/8.73 ; 0.001 0% Sortal reasoning (32 calls)
% 8.51/8.73 ; 0.003 0% Purity testing (1 call)
% 8.51/8.73 ; 0.416 5% Other
% 8.51/8.73 ; 8.236 Total
% 8.51/8.73 ; 8.251 Real time
% 8.51/8.73 ;
% 8.51/8.73 ; Term-hash-array has 7,305 terms in all.
% 8.51/8.73 ; Feature-vector-row-index has 2,176 entries (2,176 at peak, 2,522 added, 346 deleted).
% 8.51/8.73 ; Feature-vector-row-index has 10,484 nodes (10,484 at peak, 13,526 added, 3,042 deleted).
% 8.51/8.73 ; Retrieved 26,998 possibly forward subsuming rows in 12,705 calls.
% 8.51/8.73 ; Retrieved 1,955 possibly backward subsumed rows in 2,522 calls.
% 8.51/8.73 ; Path-index has 6,827 entries (6,827 at peak, 7,461 added, 634 deleted).
% 8.51/8.73 ; Path-index has 11,730 nodes (11,730 at peak, 12,688 added, 958 deleted).
% 8.51/8.73 ; Trie-index has 6,827 entries (6,827 at peak, 7,461 added, 634 deleted).
% 8.51/8.73 ; Trie-index has 25,949 nodes (25,949 at peak, 29,930 added, 3,981 deleted).
% 8.51/8.73 ; Retrieved 577,189 generalization terms in 1,209,096 calls.
% 8.51/8.73 ; Retrieved 4,451 instance terms in 2,585 calls.
% 8.51/8.73 ; Retrieved 2,751,307 unifiable terms in 52,104 calls.
% 8.51/8.73 ;
% 8.51/8.73 ; The agenda of rows to process has 62 entries:
% 8.51/8.73 ; 3 with value 25 17 with value 28 1 with value 31
% 8.51/8.73 ; 6 with value 26 33 with value 30 2 with value 61
% 8.51/8.73 ; The agenda of input rows to give has 469 entries:
% 8.51/8.73 ; 16 with value 23 3 with value 34 1 with value 46
% 8.51/8.73 ; 37 with value 24 15 with value 35 1 with value 49
% 8.51/8.73 ; 30 with value 25 6 with value 36 1 with value 51
% 8.51/8.73 ; 11 with value 26 6 with value 37 1 with value 53
% 8.51/8.73 ; 65 with value 27 6 with value 38 1 with value 54
% 8.51/8.73 ; 22 with value 28 22 with value 39 2 with value 58
% 8.51/8.73 ; 18 with value 29 5 with value 40 1 with value 59
% 8.51/8.73 ; 20 with value 30 13 with value 41 1 with value 64
% 8.51/8.73 ; 38 with value 31 3 with value 42 2 with value 66
% 8.51/8.73 ; 48 with value 32 5 with value 43 1 with value 112
% 8.51/8.73 ; 49 with value 33 19 with value 45
% 8.51/8.73 ; The agenda of rows to give has 2828 entries:
% 8.51/8.73 ; 1 with value (4 4) 189 with value (4 19) 3 with value (4 34)
% 8.51/8.73 ; 4 with value (4 5) 191 with value (4 20) 30 with value (4 35)
% 8.51/8.73 ; 6 with value (4 6) 98 with value (4 21) 28 with value (4 36)
% 8.51/8.73 ; 31 with value (4 7) 112 with value (4 22) 15 with value (4 37)
% 8.51/8.73 ; 26 with value (4 8) 143 with value (4 23) 2 with value (4 38)
% 8.51/8.73 ; 45 with value (4 9) 119 with value (4 24) 36 with value (4 39)
% 8.51/8.73 ; 73 with value (4 10) 105 with value (4 25) 9 with value (4 40)
% 8.51/8.73 ; 80 with value (4 11) 166 with value (4 26) 2 with value (4 41)
% 8.51/8.73 ; 105 with value (4 12) 96 with value (4 27) 4 with value (4 42)
% 8.51/8.73 ; 129 with value (4 13) 63 with value (4 28) 1 with value (4 43)
% 8.51/8.73 ; 170 with value (4 14) 62 with value (4 29) 2 with value (4 44)
% 8.51/8.73 ; 184 with value (4 15) 41 with value (4 30) 6 with value (4 45)
% 8.51/8.73 ; 112 with value (4 16) 20 with value (4 31) 1 with value (4 53)
% 8.51/8.73 ; 138 with value (4 17) 27 with value (4 32) 1 with value (4 58)
% 8.51/8.73 ; 124 with value (4 18) 28 with value (4 33)
% 8.51/8.73 Evaluation took:
% 8.51/8.73 8.252 seconds of real time
% 8.51/8.73 7.506181 seconds of user run time
% 8.51/8.73 0.745085 seconds of system run time
% 8.51/8.73 [Run times include 0.676 seconds GC run time.]
% 8.51/8.73 0 calls to %EVAL
% 8.51/8.73 0 page faults and
% 8.51/8.73 656,166,440 bytes consed.
% 8.51/8.73 :PROOF-FOUND
% 8.51/8.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T12:31:23
% 8.51/8.73 :PROOF-FOUND
% 8.51/8.73 *
%------------------------------------------------------------------------------