%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW211+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 01:24:42 EDT 2022
% Result : Theorem 42.36s 42.55s
% Output : Refutation 42.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 12 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 4 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-5 aty)
% Number of variables : 15 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
hAPP(c_Fun_Ocomp(X,Y,Z,U,V),W) = hAPP(U,hAPP(V,W)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_o__apply) ).
cnf(57,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_Orderings_Oord__class_Oless(X,Y,Z)
| ~ c_Orderings_Oord__class_Oless__eq(X,U,Y)
| c_Orderings_Oord__class_Oless(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
cnf(276,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_ORe(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),c_Complex_OIm(c_Complex_Ocomplex_OComplex(v_x____,v_y____)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096) ).
cnf(308,axiom,
c_Complex_OIm(c_Complex_Ocomplex_OComplex(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im) ).
cnf(309,axiom,
c_Complex_ORe(c_Complex_Ocomplex_OComplex(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re) ).
cnf(370,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096) ).
cnf(389,axiom,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sum__of__halves) ).
cnf(1579,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
cnf(1659,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1660,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference('REWRITE',[status(thm)],[1659,14,theory(equality)]) ).
cnf(1854,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
inference('REWRITE',[status(thm)],[370,389,theory(equality)]) ).
cnf(1875,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____)))),
inference('REWRITE',[status(thm)],[276,309,308,theory(equality)]) ).
cnf(14018,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[57,1854,1579,1660]),1875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW211+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.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 : Sat Jun 4 10:23:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:23:14
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-04T10:23:14
% 0.53/0.73
% 0.53/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.53/0.75 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.53/0.75 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.77 WARNING:
% 0.60/0.77 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 42.36/42.55 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 42.36/42.55
% 42.36/42.55 #||
% 42.36/42.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.36/42.55 % SZS output start Refutation
% See solution above
% 42.36/42.55 ||#
% 42.36/42.55
% 42.36/42.55 ; Summary of computation:
% 42.36/42.55 ; 331499 formulas have been input or derived (from 1330 formulas).
% 42.36/42.55 ; 14018 ( 4%) were retained. Of these,
% 42.36/42.55 ; 1191 ( 8%) were simplified or subsumed later,
% 42.36/42.55 ; 12827 (92%) are still being kept.
% 42.36/42.55 ;
% 42.36/42.55 ; Run time in seconds excluding printing time:
% 42.36/42.55 ; 0.217 1% Read assertion file (1 call)
% 42.36/42.55 ; 0.034 0% Assert (1,230 calls)
% 42.36/42.55 ; 2.253 5% Process new row (314,395 calls)
% 42.36/42.55 ; 22.286 53% Resolution (2,658 calls)
% 42.36/42.55 ; 0.163 0% Paramodulation (1,329 calls)
% 42.36/42.55 ; 0.000 0% Factoring (23 calls)
% 42.36/42.55 ; 0.473 1% Condensing (36,890 calls)
% 42.36/42.55 ; 4.084 10% Forward subsumption (36,887 calls)
% 42.36/42.55 ; 0.618 1% Backward subsumption (7,838 calls)
% 42.36/42.55 ; 0.678 2% Clause clause subsumption (89,812 calls)
% 42.36/42.55 ; 9.081 22% Forward simplification (314,247 calls)
% 42.36/42.55 ; 0.169 0% Backward simplification (13,760 calls)
% 42.36/42.55 ; 1.055 3% Ordering (330,288 calls)
% 42.36/42.55 ; 0.001 0% Sortal reasoning (32 calls)
% 42.36/42.55 ; 0.003 0% Purity testing (1 call)
% 42.36/42.55 ; 0.930 2% Other
% 42.36/42.55 ; 42.045 Total
% 42.36/42.55 ; 42.050 Real time
% 42.36/42.55 ;
% 42.38/42.55 ; Term-hash-array has 27,331 terms in all.
% 42.38/42.55 ; Feature-vector-row-index has 7,402 entries (7,402 at peak, 7,838 added, 436 deleted).
% 42.38/42.55 ; Feature-vector-row-index has 39,270 nodes (39,270 at peak, 42,793 added, 3,523 deleted).
% 42.38/42.55 ; Retrieved 156,030 possibly forward subsuming rows in 36,887 calls.
% 42.38/42.55 ; Retrieved 9,893 possibly backward subsumed rows in 7,838 calls.
% 42.38/42.55 ; Path-index has 25,699 entries (25,699 at peak, 27,702 added, 2,003 deleted).
% 42.38/42.55 ; Path-index has 66,700 nodes (66,700 at peak, 69,831 added, 3,131 deleted).
% 42.38/42.55 ; Trie-index has 25,699 entries (25,699 at peak, 27,702 added, 2,003 deleted).
% 42.38/42.55 ; Trie-index has 145,632 nodes (145,632 at peak, 158,149 added, 12,517 deleted).
% 42.38/42.55 ; Retrieved 1,432,247 generalization terms in 3,179,102 calls.
% 42.38/42.55 ; Retrieved 10,581 instance terms in 7,417 calls.
% 42.38/42.55 ; Retrieved 30,572,726 unifiable terms in 152,468 calls.
% 42.38/42.55 ;
% 42.38/42.55 ; The agenda of rows to process has 148 entries:
% 42.38/42.55 ; 9 with value 50 1 with value 59 1 with value 77
% 42.38/42.55 ; 10 with value 51 26 with value 61 5 with value 84
% 42.38/42.55 ; 24 with value 52 4 with value 65 1 with value 89
% 42.38/42.55 ; 4 with value 53 4 with value 66 1 with value 95
% 42.38/42.55 ; 8 with value 54 1 with value 67 4 with value 96
% 42.38/42.55 ; 10 with value 55 1 with value 69 1 with value 98
% 42.38/42.55 ; 1 with value 56 1 with value 70 4 with value 110
% 42.38/42.55 ; 26 with value 57 1 with value 76
% 42.38/42.55 ; The agenda of input rows to give has 48 entries:
% 42.38/42.55 ; 2 with value 38 1 with value 45 1 with value 54
% 42.38/42.55 ; 21 with value 39 2 with value 46 1 with value 55
% 42.38/42.55 ; 1 with value 41 1 with value 47 1 with value 64
% 42.38/42.55 ; 2 with value 42 1 with value 48 1 with value 68
% 42.38/42.55 ; 4 with value 43 4 with value 49 1 with value 69
% 42.38/42.55 ; 1 with value 44 2 with value 52 1 with value 110
% 42.38/42.55 ; The agenda of rows to give has 11466 entries:
% 42.38/42.55 ; 3 with value (4 4) 382 with value (4 34) 32 with value (4 63)
% 42.38/42.55 ; 8 with value (4 6) 284 with value (4 35) 7 with value (4 64)
% 42.38/42.55 ; 18 with value (4 7) 271 with value (4 36) 20 with value (4 65)
% 42.38/42.55 ; 21 with value (4 8) 189 with value (4 37) 1 with value (4 66)
% 42.38/42.55 ; 38 with value (4 9) 252 with value (4 38) 22 with value (4 67)
% 42.38/42.55 ; 57 with value (4 10) 252 with value (4 39) 43 with value (4 68)
% 42.38/42.55 ; 99 with value (4 11) 256 with value (4 40) 9 with value (4 69)
% 42.38/42.55 ; 114 with value (4 12) 139 with value (4 41) 4 with value (4 70)
% 42.38/42.55 ; 173 with value (4 13) 108 with value (4 42) 14 with value (4 71)
% 42.38/42.55 ; 157 with value (4 14) 180 with value (4 43) 16 with value (4 72)
% 42.38/42.55 ; 224 with value (4 15) 158 with value (4 44) 5 with value (4 73)
% 42.38/42.55 ; 200 with value (4 16) 85 with value (4 45) 11 with value (4 74)
% 42.38/42.55 ; 304 with value (4 17) 94 with value (4 46) 24 with value (4 75)
% 42.38/42.55 ; 223 with value (4 18) 95 with value (4 47) 17 with value (4 76)
% 42.38/42.55 ; 377 with value (4 19) 126 with value (4 48) 8 with value (4 77)
% 42.38/42.55 ; 410 with value (4 20) 129 with value (4 49) 6 with value (4 78)
% 42.38/42.55 ; 271 with value (4 21) 90 with value (4 50) 1 with value (4 80)
% 42.38/42.55 ; 368 with value (4 22) 107 with value (4 51) 1 with value (4 83)
% 42.38/42.55 ; 429 with value (4 23) 71 with value (4 52) 8 with value (4 85)
% 42.38/42.55 ; 499 with value (4 24) 56 with value (4 53) 2 with value (4 86)
% 42.38/42.55 ; 434 with value (4 25) 23 with value (4 54) 4 with value (4 87)
% 42.38/42.55 ; 514 with value (4 26) 34 with value (4 55) 4 with value (4 92)
% 42.38/42.55 ; 373 with value (4 27) 30 with value (4 56) 2 with value (4 94)
% 42.38/42.55 ; 318 with value (4 28) 29 with value (4 57) 2 with value (4 96)
% 42.38/42.55 ; 316 with value (4 29) 116 with value (4 58) 1 with value (4 98)
% 42.38/42.55 ; 441 with value (4 30) 58 with value (4 59) 1 with value (4 101)
% 42.38/42.55 ; 334 with value (4 31) 39 with value (4 60) 1 with value (4 103)
% 42.38/42.55 ; 475 with value (4 32) 25 with value (4 61) 1 with value (4 115)
% 42.38/42.55 ; 298 with value (4 33) 25 with value (4 62)
% 42.38/42.55 Evaluation took:
% 42.38/42.55 42.056 seconds of real time
% 42.38/42.55 39.919914 seconds of user run time
% 42.38/42.55 2.132876 seconds of system run time
% 42.38/42.55 [Run times include 4.812 seconds GC run time.]
% 42.38/42.55 0 calls to %EVAL
% 42.38/42.55 0 page faults and
% 42.38/42.55 2,694,842,936 bytes consed.
% 42.38/42.55 :PROOF-FOUND
% 42.38/42.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:23:57
% 42.38/42.55 :PROOF-FOUND
% 42.38/42.55 *
%------------------------------------------------------------------------------