TSTP Solution File: SWW217+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW217+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 : Sun May 5 11:16:29 EDT 2024
% Result : Theorem 0.96s 0.87s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 92 ( 37 unt; 0 def)
% Number of atoms : 183 ( 46 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 153 ( 62 ~; 64 |; 10 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-3 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3299,plain,
$false,
inference(avatar_sat_refutation,[],[f2326,f2399,f2408,f2417,f3284,f3294]) ).
fof(f3294,plain,
~ spl16_38,
inference(avatar_contradiction_clause,[],[f3293]) ).
fof(f3293,plain,
( $false
| ~ spl16_38 ),
inference(subsumption_resolution,[],[f3286,f1886]) ).
fof(f1886,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f1729]) ).
fof(f1729,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f1582]) ).
fof(f1582,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f1581]) ).
fof(f1581,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1332]) ).
fof(f1332,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f132]) ).
fof(f132,axiom,
! [X24,X19] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X19,X24)
<=> ( X19 != X24
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X24) ) ),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_real__less__def) ).
fof(f3286,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,v_e)
| ~ spl16_38 ),
inference(superposition,[],[f1944,f2412]) ).
fof(f2412,plain,
( v_e = hAPP(hAPP(sF8,v_da____),v_m____)
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f2410]) ).
fof(f2410,plain,
( spl16_38
<=> v_e = hAPP(hAPP(sF8,v_da____),v_m____) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f1944,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF8,v_da____),v_m____),v_e),
inference(forward_demodulation,[],[f1758,f1895]) ).
fof(f1895,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f1758,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_dme) ).
fof(f3284,plain,
( spl16_39
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f3279,f2176,f2414]) ).
fof(f2414,plain,
( spl16_39
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(sF8,v_da____),v_m____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_39])]) ).
fof(f2176,plain,
( spl16_7
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f3279,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(sF8,v_da____),v_m____))
| ~ spl16_7 ),
inference(resolution,[],[f2438,f1937]) ).
fof(f1937,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF15,hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1936,f1902]) ).
fof(f1902,plain,
hAPP(sF11,sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1936,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(sF11,sF14),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1935,f1898]) ).
fof(f1898,plain,
hAPP(sF8,sF10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1935,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,sF10),sF14),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1934,f1919]) ).
fof(f1919,plain,
! [X0,X1] : hAPP(hAPP(sF8,X1),X0) = hAPP(hAPP(sF8,X0),X1),
inference(forward_demodulation,[],[f1678,f1895]) ).
fof(f1678,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f1298]) ).
fof(f1298,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(rectify,[],[f124]) ).
fof(f124,axiom,
! [X37,X22] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X22),X37) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X37),X22),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_real__mult__commute) ).
fof(f1934,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,sF14),sF10),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1933,f1897]) ).
fof(f1897,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f1933,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,sF14),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9)),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1932,f1919]) ).
fof(f1932,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9)),sF14),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1931,f1901]) ).
fof(f1901,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF13) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1931,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF13)),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1930,f1900]) ).
fof(f1900,plain,
hAPP(sF12,sF9) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1930,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF12,sF9))),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1929,f1899]) ).
fof(f1899,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1929,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF9)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),sF9))),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1928,f1896]) ).
fof(f1896,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f1928,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(sF8,v_da____),v_m____)),
inference(forward_demodulation,[],[f1733,f1895]) ).
fof(f1733,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(f2438,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF15,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,X0) )
| ~ spl16_7 ),
inference(resolution,[],[f1743,f2177]) ).
fof(f2177,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,sF15)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f1743,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
inference(cnf_transformation,[],[f1475]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f1474]) ).
fof(f1474,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f1338]) ).
fof(f1338,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X38,X39,X40] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X39)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X39,X38)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X40,X38) ) ),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_real__le__trans) ).
fof(f2417,plain,
( spl16_38
| ~ spl16_39 ),
inference(avatar_split_clause,[],[f2145,f2414,f2410]) ).
fof(f2145,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(sF8,v_da____),v_m____))
| v_e = hAPP(hAPP(sF8,v_da____),v_m____) ),
inference(resolution,[],[f1744,f1985]) ).
fof(f1985,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,v_da____),v_m____),v_e),
inference(resolution,[],[f1944,f1726]) ).
fof(f1726,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f1580]) ).
fof(f1580,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f1579]) ).
fof(f1579,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1331]) ).
fof(f1331,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f133]) ).
fof(f133,axiom,
! [X24,X19] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X24)
<=> ( X19 = X24
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X19,X24) ) ),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_less__eq__real__def) ).
fof(f1744,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1477]) ).
fof(f1477,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(flattening,[],[f1476]) ).
fof(f1476,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(ennf_transformation,[],[f1339]) ).
fof(f1339,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
=> X0 = X1 ) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X37,X22] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X22,X37)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X22)
=> X22 = X37 ) ),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_real__le__antisym) ).
fof(f2408,plain,
( spl16_3
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2407,plain,
( $false
| spl16_3
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f2406,f2182]) ).
fof(f2182,plain,
( v_e = sF15
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2180,plain,
( spl16_8
<=> v_e = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f2406,plain,
( v_e != sF15
| spl16_3
| ~ spl16_8 ),
inference(forward_demodulation,[],[f2135,f2402]) ).
fof(f2402,plain,
( v_e = hAPP(hAPP(sF8,v_da____),v_m____)
| ~ spl16_8 ),
inference(forward_demodulation,[],[f2401,f2182]) ).
fof(f2401,plain,
( sF15 = hAPP(hAPP(sF8,v_da____),v_m____)
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f2400,f1985]) ).
fof(f2400,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,v_da____),v_m____),v_e)
| sF15 = hAPP(hAPP(sF8,v_da____),v_m____)
| ~ spl16_8 ),
inference(forward_demodulation,[],[f2163,f2182]) ).
fof(f2163,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(sF8,v_da____),v_m____),sF15)
| sF15 = hAPP(hAPP(sF8,v_da____),v_m____) ),
inference(resolution,[],[f1744,f1937]) ).
fof(f2135,plain,
( sF15 != hAPP(hAPP(sF8,v_da____),v_m____)
| spl16_3 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2134,plain,
( spl16_3
<=> sF15 = hAPP(hAPP(sF8,v_da____),v_m____) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f2399,plain,
~ spl16_3,
inference(avatar_contradiction_clause,[],[f2398]) ).
fof(f2398,plain,
( $false
| ~ spl16_3 ),
inference(subsumption_resolution,[],[f2395,f1903]) ).
fof(f1903,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF15,v_e),
inference(definition_folding,[],[f1615,f1902,f1901,f1900,f1896,f1899,f1898,f1897,f1896,f1895]) ).
fof(f1615,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(cnf_transformation,[],[f1262]) ).
fof(f1262,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(flattening,[],[f1261]) ).
fof(f1261,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(negated_conjecture,[],[f1260]) ).
fof(f1260,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',conj_0) ).
fof(f2395,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF15,v_e)
| ~ spl16_3 ),
inference(superposition,[],[f1944,f2136]) ).
fof(f2136,plain,
( sF15 = hAPP(hAPP(sF8,v_da____),v_m____)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2326,plain,
( spl16_8
| spl16_7 ),
inference(avatar_split_clause,[],[f2325,f2176,f2180]) ).
fof(f2325,plain,
( v_e = sF15
| spl16_7 ),
inference(subsumption_resolution,[],[f2324,f1903]) ).
fof(f2324,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF15,v_e)
| v_e = sF15
| spl16_7 ),
inference(resolution,[],[f2317,f1725]) ).
fof(f1725,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f1580]) ).
fof(f2317,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF15,v_e)
| spl16_7 ),
inference(resolution,[],[f2178,f1742]) ).
fof(f1742,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f1337]) ).
fof(f1337,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X37,X22] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X22)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X22,X37) ),
file('/export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377',fact_real__le__linear) ).
fof(f2178,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,sF15)
| spl16_7 ),
inference(avatar_component_clause,[],[f2176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW217+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:37:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.fJg3XSdn9y/Vampire---4.8_14377
% 0.60/0.79 % (14636)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (14638)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (14639)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (14641)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (14637)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79 % (14640)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (14642)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79 % (14643)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80 % (14636)Instruction limit reached!
% 0.60/0.80 % (14636)------------------------------
% 0.60/0.80 % (14636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (14636)Termination reason: Unknown
% 0.60/0.80 % (14636)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (14636)Memory used [KB]: 2352
% 0.60/0.80 % (14636)Time elapsed: 0.011 s
% 0.60/0.80 % (14636)Instructions burned: 35 (million)
% 0.60/0.80 % (14636)------------------------------
% 0.60/0.80 % (14636)------------------------------
% 0.60/0.80 % (14644)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81 % (14640)Instruction limit reached!
% 0.60/0.81 % (14640)------------------------------
% 0.60/0.81 % (14640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (14640)Termination reason: Unknown
% 0.60/0.81 % (14640)Termination phase: Preprocessing 3
% 0.60/0.81
% 0.60/0.81 % (14640)Memory used [KB]: 3123
% 0.60/0.81 % (14640)Time elapsed: 0.019 s
% 0.60/0.81 % (14640)Instructions burned: 34 (million)
% 0.60/0.81 % (14640)------------------------------
% 0.60/0.81 % (14640)------------------------------
% 0.60/0.81 % (14639)Instruction limit reached!
% 0.60/0.81 % (14639)------------------------------
% 0.60/0.81 % (14639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (14639)Termination reason: Unknown
% 0.60/0.81 % (14639)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (14639)Memory used [KB]: 2404
% 0.60/0.81 % (14639)Time elapsed: 0.020 s
% 0.60/0.81 % (14639)Instructions burned: 33 (million)
% 0.60/0.81 % (14639)------------------------------
% 0.60/0.81 % (14639)------------------------------
% 0.60/0.81 % (14646)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.81 % (14641)Instruction limit reached!
% 0.60/0.81 % (14641)------------------------------
% 0.60/0.81 % (14641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (14641)Termination reason: Unknown
% 0.60/0.81 % (14641)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (14641)Memory used [KB]: 2750
% 0.60/0.81 % (14641)Time elapsed: 0.024 s
% 0.60/0.81 % (14641)Instructions burned: 45 (million)
% 0.60/0.81 % (14641)------------------------------
% 0.60/0.81 % (14641)------------------------------
% 0.60/0.82 % (14645)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.82 % (14637)Instruction limit reached!
% 0.60/0.82 % (14637)------------------------------
% 0.60/0.82 % (14637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (14647)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82 % (14637)Termination reason: Unknown
% 0.60/0.82 % (14637)Termination phase: Property scanning
% 0.60/0.82
% 0.60/0.82 % (14637)Memory used [KB]: 3494
% 0.60/0.82 % (14637)Time elapsed: 0.028 s
% 0.60/0.82 % (14637)Instructions burned: 52 (million)
% 0.60/0.82 % (14637)------------------------------
% 0.60/0.82 % (14637)------------------------------
% 0.60/0.82 % (14643)Instruction limit reached!
% 0.60/0.82 % (14643)------------------------------
% 0.60/0.82 % (14643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (14643)Termination reason: Unknown
% 0.60/0.82 % (14643)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (14643)Memory used [KB]: 2722
% 0.60/0.82 % (14643)Time elapsed: 0.028 s
% 0.60/0.82 % (14643)Instructions burned: 56 (million)
% 0.60/0.82 % (14643)------------------------------
% 0.60/0.82 % (14643)------------------------------
% 0.60/0.82 % (14644)Instruction limit reached!
% 0.60/0.82 % (14644)------------------------------
% 0.60/0.82 % (14644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (14644)Termination reason: Unknown
% 0.60/0.82 % (14644)Termination phase: Property scanning
% 0.60/0.82
% 0.60/0.82 % (14644)Memory used [KB]: 3495
% 0.60/0.82 % (14644)Time elapsed: 0.016 s
% 0.60/0.82 % (14644)Instructions burned: 55 (million)
% 0.60/0.82 % (14644)------------------------------
% 0.60/0.82 % (14644)------------------------------
% 0.60/0.82 % (14648)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.82 % (14649)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.82 % (14650)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.83 % (14638)Instruction limit reached!
% 0.60/0.83 % (14638)------------------------------
% 0.60/0.83 % (14638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (14638)Termination reason: Unknown
% 0.60/0.83 % (14638)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (14638)Memory used [KB]: 2898
% 0.60/0.83 % (14638)Time elapsed: 0.043 s
% 0.60/0.83 % (14638)Instructions burned: 79 (million)
% 0.60/0.83 % (14638)------------------------------
% 0.60/0.83 % (14638)------------------------------
% 0.60/0.83 % (14642)Instruction limit reached!
% 0.60/0.83 % (14642)------------------------------
% 0.60/0.83 % (14642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (14642)Termination reason: Unknown
% 0.60/0.83 % (14642)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (14642)Memory used [KB]: 3404
% 0.60/0.83 % (14642)Time elapsed: 0.044 s
% 0.60/0.83 % (14642)Instructions burned: 83 (million)
% 0.60/0.83 % (14642)------------------------------
% 0.60/0.83 % (14642)------------------------------
% 0.60/0.84 % (14652)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.84 % (14645)Instruction limit reached!
% 0.60/0.84 % (14645)------------------------------
% 0.60/0.84 % (14645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (14645)Termination reason: Unknown
% 0.60/0.84 % (14645)Termination phase: Property scanning
% 0.60/0.84
% 0.60/0.84 % (14645)Memory used [KB]: 3496
% 0.60/0.84 % (14645)Time elapsed: 0.027 s
% 0.60/0.84 % (14645)Instructions burned: 51 (million)
% 0.60/0.84 % (14645)------------------------------
% 0.60/0.84 % (14645)------------------------------
% 0.60/0.84 % (14647)Instruction limit reached!
% 0.60/0.84 % (14647)------------------------------
% 0.60/0.84 % (14647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (14647)Termination reason: Unknown
% 0.60/0.84 % (14647)Termination phase: Saturation
% 0.60/0.84
% 0.60/0.84 % (14647)Memory used [KB]: 2745
% 0.60/0.84 % (14647)Time elapsed: 0.026 s
% 0.60/0.84 % (14647)Instructions burned: 52 (million)
% 0.60/0.84 % (14647)------------------------------
% 0.60/0.84 % (14647)------------------------------
% 0.60/0.84 % (14651)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.84 % (14649)Instruction limit reached!
% 0.60/0.84 % (14649)------------------------------
% 0.60/0.84 % (14649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (14649)Termination reason: Unknown
% 0.60/0.84 % (14649)Termination phase: Property scanning
% 0.60/0.84
% 0.60/0.84 % (14649)Memory used [KB]: 3495
% 0.60/0.84 % (14649)Time elapsed: 0.023 s
% 0.60/0.84 % (14649)Instructions burned: 43 (million)
% 0.60/0.84 % (14649)------------------------------
% 0.60/0.84 % (14649)------------------------------
% 0.60/0.85 % (14653)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.85 % (14654)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.96/0.85 % (14655)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.96/0.87 % (14646)First to succeed.
% 0.96/0.87 % (14655)Instruction limit reached!
% 0.96/0.87 % (14655)------------------------------
% 0.96/0.87 % (14655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87 % (14655)Termination reason: Unknown
% 0.96/0.87 % (14655)Termination phase: NewCNF
% 0.96/0.87
% 0.96/0.87 % (14655)Memory used [KB]: 2974
% 0.96/0.87 % (14655)Time elapsed: 0.020 s
% 0.96/0.87 % (14655)Instructions burned: 33 (million)
% 0.96/0.87 % (14655)------------------------------
% 0.96/0.87 % (14655)------------------------------
% 0.96/0.87 % (14646)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14626"
% 0.96/0.87 % (14646)Refutation found. Thanks to Tanya!
% 0.96/0.87 % SZS status Theorem for Vampire---4
% 0.96/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.87 % (14646)------------------------------
% 0.96/0.87 % (14646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87 % (14646)Termination reason: Refutation
% 0.96/0.87
% 0.96/0.87 % (14646)Memory used [KB]: 2605
% 0.96/0.87 % (14646)Time elapsed: 0.056 s
% 0.96/0.87 % (14646)Instructions burned: 92 (million)
% 0.96/0.87 % (14626)Success in time 0.492 s
% 0.96/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------