TSTP Solution File: SWW287+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : 300s
% DateTime : Wed Aug 31 19:18:56 EDT 2022
% Result : Theorem 6.02s 1.22s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 146 ( 32 unt; 0 def)
% Number of atoms : 372 ( 198 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 372 ( 146 ~; 168 |; 27 &)
% ( 15 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 21 con; 0-3 aty)
% Number of variables : 39 ( 32 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7262,plain,
$false,
inference(avatar_sat_refutation,[],[f6494,f6519,f6530,f6557,f6567,f6570,f6599,f6730,f6777,f7225,f7227,f7258,f7261]) ).
fof(f7261,plain,
( ~ spl38_1
| spl38_13 ),
inference(avatar_contradiction_clause,[],[f7260]) ).
fof(f7260,plain,
( $false
| ~ spl38_1
| spl38_13 ),
inference(subsumption_resolution,[],[f6798,f6475]) ).
fof(f6475,plain,
( v_p = sF23
| ~ spl38_1 ),
inference(avatar_component_clause,[],[f6474]) ).
fof(f6474,plain,
( spl38_1
<=> v_p = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f6798,plain,
( v_p != sF23
| spl38_13 ),
inference(superposition,[],[f6765,f6445]) ).
fof(f6445,plain,
c_Groups_Ozero__class_Ozero(sF22) = sF23,
introduced(function_definition,[]) ).
fof(f6765,plain,
( v_p != c_Groups_Ozero__class_Ozero(sF22)
| spl38_13 ),
inference(forward_demodulation,[],[f6545,f6444]) ).
fof(f6444,plain,
tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sF22,
introduced(function_definition,[]) ).
fof(f6545,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl38_13 ),
inference(avatar_component_clause,[],[f6543]) ).
fof(f6543,plain,
( spl38_13
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_13])]) ).
fof(f7258,plain,
( ~ spl38_14
| ~ spl38_18
| spl38_24 ),
inference(avatar_contradiction_clause,[],[f7257]) ).
fof(f7257,plain,
( $false
| ~ spl38_14
| ~ spl38_18
| spl38_24 ),
inference(subsumption_resolution,[],[f7255,f6729]) ).
fof(f6729,plain,
( sF37(sK17) != sF24
| spl38_24 ),
inference(avatar_component_clause,[],[f6727]) ).
fof(f6727,plain,
( spl38_24
<=> sF37(sK17) = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f7255,plain,
( sF37(sK17) = sF24
| ~ spl38_14
| ~ spl38_18 ),
inference(trivial_inequality_removal,[],[f7254]) ).
fof(f7254,plain,
( sF24 != sF24
| sF37(sK17) = sF24
| ~ spl38_14
| ~ spl38_18 ),
inference(superposition,[],[f6566,f7249]) ).
fof(f7249,plain,
( sF36(sK17) = sF24
| ~ spl38_18 ),
inference(superposition,[],[f7231,f6462]) ).
fof(f6462,plain,
! [X1] : sF36(X1) = hAPP(sF25,X1),
introduced(function_definition,[]) ).
fof(f7231,plain,
( hAPP(sF25,sK17) = sF24
| ~ spl38_18 ),
inference(forward_demodulation,[],[f7230,f6446]) ).
fof(f6446,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF24,
introduced(function_definition,[]) ).
fof(f7230,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF25,sK17)
| ~ spl38_18 ),
inference(forward_demodulation,[],[f6598,f6447]) ).
fof(f6447,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = sF25,
introduced(function_definition,[]) ).
fof(f6598,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17)
| ~ spl38_18 ),
inference(avatar_component_clause,[],[f6596]) ).
fof(f6596,plain,
( spl38_18
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_18])]) ).
fof(f6566,plain,
( ! [X1] :
( sF36(X1) != sF24
| sF37(X1) = sF24 )
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f6565]) ).
fof(f6565,plain,
( spl38_14
<=> ! [X1] :
( sF36(X1) != sF24
| sF37(X1) = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f7227,plain,
( spl38_4
| ~ spl38_17 ),
inference(avatar_contradiction_clause,[],[f7226]) ).
fof(f7226,plain,
( $false
| spl38_4
| ~ spl38_17 ),
inference(subsumption_resolution,[],[f6784,f6489]) ).
fof(f6489,plain,
( ~ hBOOL(sF35)
| spl38_4 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f6487,plain,
( spl38_4
<=> hBOOL(sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f6784,plain,
( hBOOL(sF35)
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6783,f6459]) ).
fof(f6459,plain,
sF35 = hAPP(sF30,sF34),
introduced(function_definition,[]) ).
fof(f6783,plain,
( hBOOL(hAPP(sF30,sF34))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6782,f6454]) ).
fof(f6454,plain,
sF30 = hAPP(sF29,v_p),
introduced(function_definition,[]) ).
fof(f6782,plain,
( hBOOL(hAPP(hAPP(sF29,v_p),sF34))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6781,f6453]) ).
fof(f6453,plain,
sF29 = c_Rings_Odvd__class_Odvd(sF22),
introduced(function_definition,[]) ).
fof(f6781,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),sF34))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6780,f6458]) ).
fof(f6458,plain,
sF34 = hAPP(sF32,sF33),
introduced(function_definition,[]) ).
fof(f6780,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(sF32,sF33)))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6779,f6456]) ).
fof(f6456,plain,
hAPP(sF31,v_q) = sF32,
introduced(function_definition,[]) ).
fof(f6779,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(sF31,v_q),sF33)))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6778,f6455]) ).
fof(f6455,plain,
sF31 = c_Power_Opower__class_Opower(sF22),
introduced(function_definition,[]) ).
fof(f6778,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(sF22),v_q),sF33)))
| ~ spl38_17 ),
inference(forward_demodulation,[],[f6590,f6444]) ).
fof(f6590,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| ~ spl38_17 ),
inference(avatar_component_clause,[],[f6588]) ).
fof(f6588,plain,
( spl38_17
<=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_17])]) ).
fof(f7225,plain,
( spl38_3
| ~ spl38_5
| ~ spl38_11 ),
inference(avatar_contradiction_clause,[],[f7224]) ).
fof(f7224,plain,
( $false
| spl38_3
| ~ spl38_5
| ~ spl38_11 ),
inference(subsumption_resolution,[],[f7218,f6484]) ).
fof(f6484,plain,
( sF24 != sF28
| spl38_3 ),
inference(avatar_component_clause,[],[f6482]) ).
fof(f6482,plain,
( spl38_3
<=> sF24 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f7218,plain,
( sF24 = sF28
| ~ spl38_5
| ~ spl38_11 ),
inference(superposition,[],[f7217,f6451]) ).
fof(f6451,plain,
hAPP(sF27,sK16) = sF28,
introduced(function_definition,[]) ).
fof(f7217,plain,
( hAPP(sF27,sK16) = sF24
| ~ spl38_5
| ~ spl38_11 ),
inference(trivial_inequality_removal,[],[f7216]) ).
fof(f7216,plain,
( hAPP(sF27,sK16) = sF24
| sF24 != sF24
| ~ spl38_5
| ~ spl38_11 ),
inference(superposition,[],[f6789,f6902]) ).
fof(f6902,plain,
( sF36(sK16) = sF24
| ~ spl38_5 ),
inference(forward_demodulation,[],[f6900,f6493]) ).
fof(f6493,plain,
( sF26 = sF24
| ~ spl38_5 ),
inference(avatar_component_clause,[],[f6491]) ).
fof(f6491,plain,
( spl38_5
<=> sF26 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_5])]) ).
fof(f6900,plain,
sF26 = sF36(sK16),
inference(superposition,[],[f6462,f6448]) ).
fof(f6448,plain,
hAPP(sF25,sK16) = sF26,
introduced(function_definition,[]) ).
fof(f6789,plain,
( ! [X0] :
( sF36(X0) != sF24
| hAPP(sF27,X0) = sF24 )
| ~ spl38_11 ),
inference(forward_demodulation,[],[f6788,f6446]) ).
fof(f6788,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF27,X0)
| sF36(X0) != sF24 )
| ~ spl38_11 ),
inference(forward_demodulation,[],[f6787,f6446]) ).
fof(f6787,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF36(X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF27,X0) )
| ~ spl38_11 ),
inference(forward_demodulation,[],[f6786,f6462]) ).
fof(f6786,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF25,X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF27,X0) )
| ~ spl38_11 ),
inference(forward_demodulation,[],[f6785,f6447]) ).
fof(f6785,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF27,X0) )
| ~ spl38_11 ),
inference(forward_demodulation,[],[f6529,f6450]) ).
fof(f6450,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) = sF27,
introduced(function_definition,[]) ).
fof(f6529,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) )
| ~ spl38_11 ),
inference(avatar_component_clause,[],[f6528]) ).
fof(f6528,plain,
( spl38_11
<=> ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_11])]) ).
fof(f6777,plain,
( ~ spl38_4
| spl38_10 ),
inference(avatar_contradiction_clause,[],[f6776]) ).
fof(f6776,plain,
( $false
| ~ spl38_4
| spl38_10 ),
inference(subsumption_resolution,[],[f6775,f6488]) ).
fof(f6488,plain,
( hBOOL(sF35)
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f6775,plain,
( ~ hBOOL(sF35)
| spl38_10 ),
inference(forward_demodulation,[],[f6774,f6459]) ).
fof(f6774,plain,
( ~ hBOOL(hAPP(sF30,sF34))
| spl38_10 ),
inference(forward_demodulation,[],[f6773,f6454]) ).
fof(f6773,plain,
( ~ hBOOL(hAPP(hAPP(sF29,v_p),sF34))
| spl38_10 ),
inference(forward_demodulation,[],[f6772,f6453]) ).
fof(f6772,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),sF34))
| spl38_10 ),
inference(forward_demodulation,[],[f6771,f6458]) ).
fof(f6771,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(sF32,sF33)))
| spl38_10 ),
inference(forward_demodulation,[],[f6770,f6456]) ).
fof(f6770,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(sF31,v_q),sF33)))
| spl38_10 ),
inference(forward_demodulation,[],[f6769,f6455]) ).
fof(f6769,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(sF22),v_q),sF33)))
| spl38_10 ),
inference(forward_demodulation,[],[f6768,f6444]) ).
fof(f6768,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| spl38_10 ),
inference(forward_demodulation,[],[f6526,f6606]) ).
fof(f6606,plain,
sF33 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(forward_demodulation,[],[f6140,f6457]) ).
fof(f6457,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = sF33,
introduced(function_definition,[]) ).
fof(f6140,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(definition_unfolding,[],[f5483,f4716]) ).
fof(f4716,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Nat_OSuc(X0),
inference(cnf_transformation,[],[f1583]) ).
fof(f1583,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Nat_OSuc(X0),
inference(rectify,[],[f318]) ).
fof(f318,axiom,
! [X7] : c_Nat_OSuc(X7) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X7,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(f5483,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n) ).
fof(f6526,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
| spl38_10 ),
inference(avatar_component_clause,[],[f6524]) ).
fof(f6524,plain,
( spl38_10
<=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_10])]) ).
fof(f6730,plain,
( spl38_4
| spl38_12
| ~ spl38_24 ),
inference(avatar_split_clause,[],[f6725,f6727,f6539,f6487]) ).
fof(f6539,plain,
( spl38_12
<=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_12])]) ).
fof(f6725,plain,
( sF37(sK17) != sF24
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(sF35) ),
inference(forward_demodulation,[],[f6724,f6459]) ).
fof(f6724,plain,
( sF37(sK17) != sF24
| hBOOL(hAPP(sF30,sF34))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33 ),
inference(forward_demodulation,[],[f6723,f6454]) ).
fof(f6723,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(hAPP(hAPP(sF29,v_p),sF34))
| sF37(sK17) != sF24 ),
inference(forward_demodulation,[],[f6722,f6453]) ).
fof(f6722,plain,
( sF37(sK17) != sF24
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),sF34))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33 ),
inference(forward_demodulation,[],[f6721,f6458]) ).
fof(f6721,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| sF37(sK17) != sF24
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(sF32,sF33))) ),
inference(forward_demodulation,[],[f6720,f6446]) ).
fof(f6720,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF37(sK17)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(sF32,sF33))) ),
inference(forward_demodulation,[],[f6719,f6456]) ).
fof(f6719,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(sF31,v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF37(sK17)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33 ),
inference(forward_demodulation,[],[f6718,f6455]) ).
fof(f6718,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(sF22),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(sF22),v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF37(sK17) ),
inference(forward_demodulation,[],[f6717,f6444]) ).
fof(f6717,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF37(sK17) ),
inference(forward_demodulation,[],[f6716,f6463]) ).
fof(f6463,plain,
! [X1] : sF37(X1) = hAPP(sF27,X1),
introduced(function_definition,[]) ).
fof(f6716,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF27,sK17)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33 ),
inference(forward_demodulation,[],[f6715,f6457]) ).
fof(f6715,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF27,sK17) ),
inference(forward_demodulation,[],[f6714,f6457]) ).
fof(f6714,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF27,sK17)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(forward_demodulation,[],[f5750,f6450]) ).
fof(f5750,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK17)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(cnf_transformation,[],[f4295]) ).
fof(f4295,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK17)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) )
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f3348,f4294]) ).
fof(f4294,plain,
( ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) )
=> ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK17)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f3348,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) )
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(flattening,[],[f3347]) ).
fof(f3347,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0) ) ),
inference(ennf_transformation,[],[f1973]) ).
fof(f1973,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) )
=> ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
( ! [X2] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X2) )
=> ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096) ).
fof(f6599,plain,
( spl38_18
| spl38_17
| spl38_12 ),
inference(avatar_split_clause,[],[f6594,f6539,f6588,f6596]) ).
fof(f6594,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),sF33)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) ),
inference(forward_demodulation,[],[f6593,f6457]) ).
fof(f6593,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = sF33
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) ),
inference(forward_demodulation,[],[f5749,f6457]) ).
fof(f5749,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK17) ),
inference(cnf_transformation,[],[f4295]) ).
fof(f6570,plain,
~ spl38_13,
inference(avatar_split_clause,[],[f5418,f6543]) ).
fof(f5418,plain,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pe) ).
fof(f6567,plain,
( spl38_1
| spl38_4
| spl38_14 ),
inference(avatar_split_clause,[],[f6464,f6565,f6487,f6474]) ).
fof(f6464,plain,
! [X1] :
( sF36(X1) != sF24
| hBOOL(sF35)
| v_p = sF23
| sF37(X1) = sF24 ),
inference(definition_folding,[],[f5676,f6463,f6450,f6446,f6462,f6447,f6446,f6459,f6458,f6457,f6456,f6455,f6444,f6454,f6453,f6444,f6445,f6444]) ).
fof(f5676,plain,
! [X1] :
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) ),
inference(cnf_transformation,[],[f4256]) ).
fof(f4256,plain,
( ( ( ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q )
& ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
| ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK16)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK16) ) )
& ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ! [X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f4254,f4255]) ).
fof(f4255,plain,
( ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) )
=> ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK16)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f4254,plain,
( ( ( ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q )
& ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
| ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) )
& ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ! [X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) ) ) ),
inference(rectify,[],[f4253]) ).
fof(f4253,plain,
( ( ( ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q )
& ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
| ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) )
& ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) ) ),
inference(flattening,[],[f4252]) ).
fof(f4252,plain,
( ( ( ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q )
& ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
| ? [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
& c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) )
& ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) ) ),
inference(nnf_transformation,[],[f2831]) ).
fof(f2831,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) )
<~> ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
inference(ennf_transformation,[],[f2125]) ).
fof(f2125,plain,
~ ( ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
<=> ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) ),
inference(rectify,[],[f1207]) ).
fof(f1207,negated_conjecture,
~ ( ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
<=> ! [X2] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X2) ) ),
inference(negated_conjecture,[],[f1206]) ).
fof(f1206,conjecture,
( ( ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q )
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
<=> ! [X2] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f6557,plain,
~ spl38_12,
inference(avatar_split_clause,[],[f6556,f6539]) ).
fof(f6556,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != sF33,
inference(forward_demodulation,[],[f5734,f6457]) ).
fof(f5734,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dp) ).
fof(f6530,plain,
( ~ spl38_10
| spl38_11 ),
inference(avatar_split_clause,[],[f6155,f6528,f6524]) ).
fof(f6155,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ),
inference(definition_unfolding,[],[f5651,f4716]) ).
fof(f5651,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ),
inference(cnf_transformation,[],[f3150]) ).
fof(f3150,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ),
inference(flattening,[],[f3149]) ).
fof(f3149,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(ennf_transformation,[],[f2203]) ).
fof(f2203,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
=> ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3] :
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
=> ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3)
=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096) ).
fof(f6519,plain,
( ~ spl38_3
| ~ spl38_4 ),
inference(avatar_split_clause,[],[f6461,f6487,f6482]) ).
fof(f6461,plain,
( ~ hBOOL(sF35)
| sF24 != sF28 ),
inference(definition_folding,[],[f5677,f6451,f6450,f6446,f6459,f6458,f6457,f6456,f6455,f6444,f6454,f6453,f6444]) ).
fof(f5677,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),sK16) ),
inference(cnf_transformation,[],[f4256]) ).
fof(f6494,plain,
( ~ spl38_4
| spl38_5 ),
inference(avatar_split_clause,[],[f6460,f6491,f6487]) ).
fof(f6460,plain,
( sF26 = sF24
| ~ hBOOL(sF35) ),
inference(definition_folding,[],[f5678,f6448,f6447,f6446,f6459,f6458,f6457,f6456,f6455,f6444,f6454,f6453,f6444]) ).
fof(f5678,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),sK16) ),
inference(cnf_transformation,[],[f4256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 20:23:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.36/0.60 % (13407)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.60 % (13396)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.61 % (13399)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.62 % (13415)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.60/0.62 % (13408)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.60/0.63 % (13413)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.60/0.63 % (13403)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.63 % (13398)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.60/0.64 % (13420)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.60/0.65 % (13400)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.65 % (13394)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.65 % (13422)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.60/0.65 % (13411)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.60/0.65 % (13401)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.65 % (13400)Instruction limit reached!
% 1.60/0.65 % (13400)------------------------------
% 1.60/0.65 % (13400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.65 % (13400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (13400)Termination reason: Unknown
% 1.60/0.65 % (13400)Termination phase: Preprocessing 1
% 1.60/0.65
% 1.60/0.65 % (13400)Memory used [KB]: 2430
% 1.60/0.65 % (13400)Time elapsed: 0.006 s
% 1.60/0.65 % (13400)Instructions burned: 7 (million)
% 1.60/0.65 % (13400)------------------------------
% 1.60/0.65 % (13400)------------------------------
% 1.60/0.65 % (13401)Instruction limit reached!
% 1.60/0.65 % (13401)------------------------------
% 1.60/0.65 % (13401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.65 % (13401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (13401)Termination reason: Unknown
% 1.60/0.65 % (13401)Termination phase: shuffling
% 1.60/0.65
% 1.60/0.65 % (13401)Memory used [KB]: 2046
% 1.60/0.65 % (13401)Time elapsed: 0.003 s
% 1.60/0.65 % (13401)Instructions burned: 2 (million)
% 1.60/0.65 % (13401)------------------------------
% 1.60/0.65 % (13401)------------------------------
% 1.60/0.66 % (13397)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.66 % (13395)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.60/0.67 % (13406)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.67 % (13393)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.60/0.67 % (13404)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.60/0.67 % (13412)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.09/0.67 % (13419)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.09/0.68 % (13421)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.09/0.68 % (13417)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.09/0.69 % (13409)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.09/0.69 % (13416)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.09/0.69 % (13410)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.09/0.69 % (13405)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.09/0.70 % (13418)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.09/0.70 % (13414)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.09/0.70 % (13399)Instruction limit reached!
% 2.09/0.70 % (13399)------------------------------
% 2.09/0.70 % (13399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.71 % (13402)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.09/0.71 % (13399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.71 % (13399)Termination reason: Unknown
% 2.09/0.71 % (13399)Termination phase: Property scanning
% 2.09/0.71
% 2.09/0.71 % (13399)Memory used [KB]: 4733
% 2.09/0.71 % (13399)Time elapsed: 0.039 s
% 2.09/0.71 % (13399)Instructions burned: 52 (million)
% 2.09/0.71 % (13399)------------------------------
% 2.09/0.71 % (13399)------------------------------
% 2.09/0.72 % (13403)Instruction limit reached!
% 2.09/0.72 % (13403)------------------------------
% 2.09/0.72 % (13403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (13407)Instruction limit reached!
% 2.09/0.72 % (13407)------------------------------
% 2.09/0.72 % (13407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (13407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (13407)Termination reason: Unknown
% 2.09/0.72 % (13407)Termination phase: Saturation
% 2.09/0.72
% 2.09/0.72 % (13407)Memory used [KB]: 5117
% 2.09/0.72 % (13407)Time elapsed: 0.055 s
% 2.09/0.72 % (13407)Instructions burned: 68 (million)
% 2.09/0.72 % (13407)------------------------------
% 2.09/0.72 % (13407)------------------------------
% 2.09/0.73 % (13403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.73 % (13403)Termination reason: Unknown
% 2.09/0.73 % (13403)Termination phase: Property scanning
% 2.09/0.73
% 2.09/0.73 % (13403)Memory used [KB]: 4733
% 2.09/0.73 % (13403)Time elapsed: 0.070 s
% 2.09/0.73 % (13403)Instructions burned: 51 (million)
% 2.09/0.73 % (13403)------------------------------
% 2.09/0.73 % (13403)------------------------------
% 2.09/0.74 % (13396)Instruction limit reached!
% 2.09/0.74 % (13396)------------------------------
% 2.09/0.74 % (13396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.74 % (13396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.74 % (13396)Termination reason: Unknown
% 2.09/0.74 % (13396)Termination phase: Property scanning
% 2.09/0.74
% 2.09/0.74 % (13396)Memory used [KB]: 4349
% 2.09/0.74 % (13396)Time elapsed: 0.039 s
% 2.09/0.74 % (13396)Instructions burned: 51 (million)
% 2.09/0.74 % (13396)------------------------------
% 2.09/0.74 % (13396)------------------------------
% 2.71/0.76 % (13408)Instruction limit reached!
% 2.71/0.76 % (13408)------------------------------
% 2.71/0.76 % (13408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.76 % (13408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.76 % (13408)Termination reason: Unknown
% 2.71/0.76 % (13408)Termination phase: Property scanning
% 2.71/0.76
% 2.71/0.76 % (13408)Memory used [KB]: 4733
% 2.71/0.76 % (13408)Time elapsed: 0.094 s
% 2.71/0.76 % (13408)Instructions burned: 75 (million)
% 2.71/0.76 % (13408)------------------------------
% 2.71/0.76 % (13408)------------------------------
% 2.71/0.77 % (13395)Instruction limit reached!
% 2.71/0.77 % (13395)------------------------------
% 2.71/0.77 % (13395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.77 % (13395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.77 % (13395)Termination reason: Unknown
% 2.71/0.77 % (13395)Termination phase: Preprocessing 3
% 2.71/0.77
% 2.71/0.77 % (13395)Memory used [KB]: 3965
% 2.71/0.77 % (13395)Time elapsed: 0.032 s
% 2.71/0.77 % (13395)Instructions burned: 37 (million)
% 2.71/0.77 % (13395)------------------------------
% 2.71/0.77 % (13395)------------------------------
% 2.71/0.77 % (13398)Instruction limit reached!
% 2.71/0.77 % (13398)------------------------------
% 2.71/0.77 % (13398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.77 % (13398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.77 % (13398)Termination reason: Unknown
% 2.71/0.77 % (13398)Termination phase: Property scanning
% 2.71/0.77
% 2.71/0.77 % (13398)Memory used [KB]: 4733
% 2.71/0.77 % (13398)Time elapsed: 0.039 s
% 2.71/0.77 % (13398)Instructions burned: 48 (million)
% 2.71/0.77 % (13398)------------------------------
% 2.71/0.77 % (13398)------------------------------
% 2.88/0.78 % (13394)Instruction limit reached!
% 2.88/0.78 % (13394)------------------------------
% 2.88/0.78 % (13394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.78 % (13394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.78 % (13394)Termination reason: Unknown
% 2.88/0.78 % (13394)Termination phase: Property scanning
% 2.88/0.78
% 2.88/0.78 % (13394)Memory used [KB]: 4733
% 2.88/0.78 % (13394)Time elapsed: 0.041 s
% 2.88/0.78 % (13394)Instructions burned: 51 (million)
% 2.88/0.78 % (13394)------------------------------
% 2.88/0.78 % (13394)------------------------------
% 2.88/0.80 % (13397)Instruction limit reached!
% 2.88/0.80 % (13397)------------------------------
% 2.88/0.80 % (13397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.80 % (13397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.80 % (13397)Termination reason: Unknown
% 2.88/0.80 % (13397)Termination phase: Property scanning
% 2.88/0.80
% 2.88/0.80 % (13397)Memory used [KB]: 4733
% 2.88/0.80 % (13397)Time elapsed: 0.042 s
% 2.88/0.80 % (13397)Instructions burned: 51 (million)
% 2.88/0.80 % (13397)------------------------------
% 2.88/0.80 % (13397)------------------------------
% 3.11/0.83 % (13410)Instruction limit reached!
% 3.11/0.83 % (13410)------------------------------
% 3.11/0.83 % (13410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.83 % (13410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.83 % (13410)Termination reason: Unknown
% 3.11/0.83 % (13410)Termination phase: Property scanning
% 3.11/0.83
% 3.11/0.83 % (13410)Memory used [KB]: 4605
% 3.11/0.83 % (13410)Time elapsed: 0.045 s
% 3.11/0.83 % (13410)Instructions burned: 59 (million)
% 3.11/0.83 % (13410)------------------------------
% 3.11/0.83 % (13410)------------------------------
% 3.11/0.84 % (13419)Instruction limit reached!
% 3.11/0.84 % (13419)------------------------------
% 3.11/0.84 % (13419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.84 % (13419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.84 % (13419)Termination reason: Unknown
% 3.11/0.84 % (13419)Termination phase: Saturation
% 3.11/0.84
% 3.11/0.84 % (13419)Memory used [KB]: 4989
% 3.11/0.84 % (13419)Time elapsed: 0.053 s
% 3.11/0.84 % (13419)Instructions burned: 68 (million)
% 3.11/0.84 % (13419)------------------------------
% 3.11/0.84 % (13419)------------------------------
% 3.11/0.85 % (13402)Instruction limit reached!
% 3.11/0.85 % (13402)------------------------------
% 3.11/0.85 % (13402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.85 % (13402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.85 % (13402)Termination reason: Unknown
% 3.11/0.85 % (13402)Termination phase: Property scanning
% 3.11/0.85
% 3.11/0.85 % (13402)Memory used [KB]: 4733
% 3.11/0.85 % (13402)Time elapsed: 0.041 s
% 3.11/0.85 % (13402)Instructions burned: 52 (million)
% 3.11/0.85 % (13402)------------------------------
% 3.11/0.85 % (13402)------------------------------
% 3.11/0.90 % (13488)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.11/0.90 % (13486)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 3.11/0.90 % (13485)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/388Mi)
% 3.11/0.90 % (13411)Instruction limit reached!
% 3.11/0.90 % (13411)------------------------------
% 3.11/0.90 % (13411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.90 % (13411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.90 % (13411)Termination reason: Unknown
% 3.11/0.90 % (13411)Termination phase: Saturation
% 3.11/0.90
% 3.11/0.90 % (13411)Memory used [KB]: 9594
% 3.11/0.90 % (13411)Time elapsed: 0.073 s
% 3.11/0.90 % (13411)Instructions burned: 100 (million)
% 3.11/0.90 % (13411)------------------------------
% 3.11/0.90 % (13411)------------------------------
% 3.53/0.91 % (13489)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.53/0.92 % (13412)Instruction limit reached!
% 3.53/0.92 % (13412)------------------------------
% 3.53/0.92 % (13412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.92 % (13412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.92 % (13412)Termination reason: Unknown
% 3.53/0.92 % (13412)Termination phase: Saturation
% 3.53/0.92
% 3.53/0.92 % (13412)Memory used [KB]: 5117
% 3.53/0.92 % (13412)Time elapsed: 0.075 s
% 3.53/0.92 % (13412)Instructions burned: 100 (million)
% 3.53/0.92 % (13412)------------------------------
% 3.53/0.92 % (13412)------------------------------
% 3.53/0.92 % (13490)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.53/0.93 % (13406)Instruction limit reached!
% 3.53/0.93 % (13406)------------------------------
% 3.53/0.93 % (13406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.93 % (13406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.93 % (13406)Termination reason: Unknown
% 3.53/0.93 % (13406)Termination phase: Saturation
% 3.53/0.93
% 3.53/0.93 % (13406)Memory used [KB]: 9466
% 3.53/0.93 % (13406)Time elapsed: 0.073 s
% 3.53/0.93 % (13406)Instructions burned: 100 (million)
% 3.53/0.93 % (13406)------------------------------
% 3.53/0.93 % (13406)------------------------------
% 3.53/0.93 % (13404)Instruction limit reached!
% 3.53/0.93 % (13404)------------------------------
% 3.53/0.93 % (13404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.93 % (13404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.93 % (13404)Termination reason: Unknown
% 3.53/0.93 % (13404)Termination phase: Saturation
% 3.53/0.93
% 3.53/0.93 % (13404)Memory used [KB]: 9466
% 3.53/0.93 % (13404)Time elapsed: 0.074 s
% 3.53/0.93 % (13404)Instructions burned: 101 (million)
% 3.53/0.93 % (13404)------------------------------
% 3.53/0.93 % (13404)------------------------------
% 3.53/0.94 % (13405)Instruction limit reached!
% 3.53/0.94 % (13405)------------------------------
% 3.53/0.94 % (13405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.94 % (13409)Instruction limit reached!
% 3.53/0.94 % (13409)------------------------------
% 3.53/0.94 % (13409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.94 % (13409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.94 % (13405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.94 % (13409)Termination reason: Unknown
% 3.53/0.94 % (13405)Termination reason: Unknown
% 3.53/0.94 % (13409)Termination phase: Saturation
% 3.53/0.94
% 3.53/0.94 % (13405)Termination phase: Saturation
% 3.53/0.94
% 3.53/0.94 % (13405)Memory used [KB]: 9594
% 3.53/0.94 % (13409)Memory used [KB]: 9466
% 3.53/0.94 % (13405)Time elapsed: 0.075 s
% 3.53/0.94 % (13409)Time elapsed: 0.071 s
% 3.53/0.94 % (13405)Instructions burned: 101 (million)
% 3.53/0.94 % (13409)Instructions burned: 99 (million)
% 3.53/0.94 % (13409)------------------------------
% 3.53/0.94 % (13409)------------------------------
% 3.53/0.94 % (13405)------------------------------
% 3.53/0.94 % (13405)------------------------------
% 3.53/0.96 % (13492)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/655Mi)
% 3.53/0.97 % (13413)Instruction limit reached!
% 3.53/0.97 % (13413)------------------------------
% 3.53/0.97 % (13413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/0.98 % (13413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/0.98 % (13413)Termination reason: Unknown
% 3.75/0.98 % (13413)Termination phase: Saturation
% 3.75/0.98
% 3.75/0.98 % (13413)Memory used [KB]: 10234
% 3.75/0.98 % (13413)Time elapsed: 0.145 s
% 3.75/0.98 % (13413)Instructions burned: 177 (million)
% 3.75/0.98 % (13413)------------------------------
% 3.75/0.98 % (13413)------------------------------
% 3.75/0.98 % (13491)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.75/1.01 % (13494)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 3.75/1.01 % (13493)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.75/1.03 % (13488)Instruction limit reached!
% 3.75/1.03 % (13488)------------------------------
% 3.75/1.03 % (13488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/1.03 % (13488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/1.03 % (13488)Termination reason: Unknown
% 3.75/1.03 % (13488)Termination phase: Property scanning
% 3.75/1.03
% 3.75/1.03 % (13488)Memory used [KB]: 4989
% 3.75/1.03 % (13488)Time elapsed: 0.082 s
% 3.75/1.03 % (13488)Instructions burned: 90 (million)
% 3.75/1.03 % (13488)------------------------------
% 3.75/1.03 % (13488)------------------------------
% 3.75/1.03 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.75/1.03 % (13495)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 3.75/1.03 % (13498)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.75/1.05 % (13414)Instruction limit reached!
% 3.75/1.05 % (13414)------------------------------
% 3.75/1.05 % (13414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/1.05 % (13414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/1.05 % (13414)Termination reason: Unknown
% 3.75/1.05 % (13414)Termination phase: Saturation
% 3.75/1.05
% 3.75/1.05 % (13414)Memory used [KB]: 9978
% 3.75/1.05 % (13414)Time elapsed: 0.103 s
% 3.75/1.05 % (13414)Instructions burned: 138 (million)
% 3.75/1.05 % (13414)------------------------------
% 3.75/1.05 % (13414)------------------------------
% 4.06/1.08 % (13500)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.06/1.08 % (13501)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.12/1.09 % (13502)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.12/1.11 % (13420)Instruction limit reached!
% 4.12/1.11 % (13420)------------------------------
% 4.12/1.11 % (13420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.11 % (13420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.11 % (13420)Termination reason: Unknown
% 4.12/1.11 % (13420)Termination phase: Saturation
% 4.12/1.11
% 4.12/1.11 % (13420)Memory used [KB]: 5884
% 4.12/1.11 % (13420)Time elapsed: 0.638 s
% 4.12/1.11 % (13420)Instructions burned: 178 (million)
% 4.12/1.11 % (13420)------------------------------
% 4.12/1.11 % (13420)------------------------------
% 4.12/1.13 % (13509)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.12/1.14 % (13514)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 5.81/1.16 % (13512)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 6.02/1.17 % (13516)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 6.02/1.18 % (13517)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.02/1.19 % (13493)Instruction limit reached!
% 6.02/1.19 % (13493)------------------------------
% 6.02/1.19 % (13493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.02/1.19 % (13493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.02/1.19 % (13493)Termination reason: Unknown
% 6.02/1.19 % (13493)Termination phase: Property scanning
% 6.02/1.19
% 6.02/1.19 % (13493)Memory used [KB]: 5117
% 6.02/1.19 % (13493)Time elapsed: 0.048 s
% 6.02/1.19 % (13493)Instructions burned: 69 (million)
% 6.02/1.19 % (13493)------------------------------
% 6.02/1.19 % (13493)------------------------------
% 6.02/1.20 % (13418)First to succeed.
% 6.02/1.22 % (13418)Refutation found. Thanks to Tanya!
% 6.02/1.22 % SZS status Theorem for theBenchmark
% 6.02/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 6.02/1.22 % (13418)------------------------------
% 6.02/1.22 % (13418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.02/1.22 % (13418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.02/1.22 % (13418)Termination reason: Refutation
% 6.02/1.22
% 6.02/1.22 % (13418)Memory used [KB]: 10234
% 6.02/1.22 % (13418)Time elapsed: 0.722 s
% 6.02/1.22 % (13418)Instructions burned: 180 (million)
% 6.02/1.22 % (13418)------------------------------
% 6.02/1.22 % (13418)------------------------------
% 6.02/1.22 % (13392)Success in time 0.876 s
%------------------------------------------------------------------------------