TSTP Solution File: SWW207+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW207+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 : n024.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 May 1 04:17:35 EDT 2024
% Result : Theorem 0.99s 0.90s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 15 unt; 0 def)
% Number of atoms : 164 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 66 ~; 70 |; 8 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 82 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2584,plain,
$false,
inference(avatar_sat_refutation,[],[f2538,f2543,f2582]) ).
fof(f2582,plain,
~ spl10_13,
inference(avatar_contradiction_clause,[],[f2581]) ).
fof(f2581,plain,
( $false
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f2574,f1853]) ).
fof(f1853,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != sF8,
inference(forward_demodulation,[],[f1681,f1814]) ).
fof(f1814,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f1681,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_real__zero__not__eq__one) ).
fof(f2574,plain,
( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = sF8
| ~ spl10_13 ),
inference(resolution,[],[f2565,f1909]) ).
fof(f1909,plain,
hBOOL(hAPP(sF9,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(subsumption_resolution,[],[f1908,f1853]) ).
fof(f1908,plain,
( hBOOL(hAPP(sF9,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = sF8 ),
inference(superposition,[],[f1825,f1676]) ).
fof(f1676,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
inference(cnf_transformation,[],[f1331]) ).
fof(f1331,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
inference(rectify,[],[f353]) ).
fof(f353,axiom,
! [X13] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X13) = X13,
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_real__mult__1) ).
fof(f1825,plain,
! [X0] :
( hBOOL(hAPP(sF9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)))
| sF8 = X0 ),
inference(forward_demodulation,[],[f1824,f1815]) ).
fof(f1815,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF8) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f1824,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF8),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)))
| sF8 = X0 ),
inference(forward_demodulation,[],[f1823,f1814]) ).
fof(f1823,plain,
! [X0] :
( sF8 = X0
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))) ),
inference(forward_demodulation,[],[f1579,f1814]) ).
fof(f1579,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))) ),
inference(cnf_transformation,[],[f1509]) ).
fof(f1509,plain,
! [X0] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)))
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != X0 )
& ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))) ) ),
inference(nnf_transformation,[],[f1273]) ).
fof(f1273,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)))
<=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(rectify,[],[f553]) ).
fof(f553,axiom,
! [X9] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X9)))
<=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X9 ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_not__real__square__gt__zero) ).
fof(f2565,plain,
( ! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| sF8 = X0 )
| ~ spl10_13 ),
inference(duplicate_literal_removal,[],[f2557]) ).
fof(f2557,plain,
( ! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| sF8 = X0
| ~ hBOOL(hAPP(sF9,X0)) )
| ~ spl10_13 ),
inference(resolution,[],[f2537,f1958]) ).
fof(f1958,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| sF8 = X0
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(resolution,[],[f1663,f1901]) ).
fof(f1901,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sF8),X0))
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(superposition,[],[f1665,f1815]) ).
fof(f1665,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f1535]) ).
fof(f1535,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( X0 != X1
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) )
& ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(flattening,[],[f1534]) ).
fof(f1534,plain,
! [X0,X1] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ( X0 != X1
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) )
& ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ) ),
inference(nnf_transformation,[],[f1325]) ).
fof(f1325,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
<=> ( X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X8,X9] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),X8))
<=> ( X8 = X9
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9),X8)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_less__eq__real__def) ).
fof(f1663,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f1471]) ).
fof(f1471,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(flattening,[],[f1470]) ).
fof(f1470,plain,
! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(ennf_transformation,[],[f1324]) ).
fof(f1324,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
=> X0 = X1 ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X15,X13] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X15))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15),X13))
=> X13 = X15 ) ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_real__le__antisym) ).
fof(f2537,plain,
( ! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| ~ hBOOL(hAPP(sF9,X0)) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f2536,plain,
( spl10_13
<=> ! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f2543,plain,
( spl10_13
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f2540,f2532,f2536]) ).
fof(f2532,plain,
( spl10_12
<=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f2540,plain,
( ! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| ~ hBOOL(hAPP(sF9,X0)) )
| ~ spl10_12 ),
inference(superposition,[],[f2512,f2534]) ).
fof(f2534,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = sF8
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f2512,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(resolution,[],[f1753,f2477]) ).
fof(f2477,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(resolution,[],[f1662,f1899]) ).
fof(f1899,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))))
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(resolution,[],[f1661,f1816]) ).
fof(f1816,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0))
| ~ hBOOL(hAPP(sF9,X0)) ),
inference(definition_folding,[],[f1577,f1815,f1814]) ).
fof(f1577,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(cnf_transformation,[],[f1506]) ).
fof(f1506,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1428,f1505]) ).
fof(f1505,plain,
! [X0] :
( ? [X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X1)))))),X0))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK0(X0))))))),X0)) ),
introduced(choice_axiom,[]) ).
fof(f1428,plain,
! [X0] :
( ? [X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X1)))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(ennf_transformation,[],[f1271]) ).
fof(f1271,plain,
~ ? [X0] :
( ! [X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X1)))))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(rectify,[],[f1270]) ).
fof(f1270,negated_conjecture,
~ ? [X36] :
( ! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X7)))))),X36))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X36)) ),
inference(negated_conjecture,[],[f1269]) ).
fof(f1269,conjecture,
? [X36] :
( ! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X7)))))),X36))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X36)) ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',conj_0) ).
fof(f1661,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
inference(cnf_transformation,[],[f1322]) ).
fof(f1322,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X15,X13] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15),X13))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13),X15)) ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_real__le__linear) ).
fof(f1662,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0)) ),
inference(cnf_transformation,[],[f1469]) ).
fof(f1469,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(flattening,[],[f1468]) ).
fof(f1468,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(ennf_transformation,[],[f1323]) ).
fof(f1323,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X0)) ) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X16,X17,X18] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18),X17))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17),X16))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18),X16)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_real__le__trans) ).
fof(f1753,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(cnf_transformation,[],[f1393]) ).
fof(f1393,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X7)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox/tmp/tmp.YH81IRpKGb/Vampire---4.8_1893',fact_th) ).
fof(f2538,plain,
( spl10_12
| spl10_13 ),
inference(avatar_split_clause,[],[f2530,f2536,f2532]) ).
fof(f2530,plain,
! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = sF8 ),
inference(subsumption_resolution,[],[f2529,f2511]) ).
fof(f2511,plain,
~ hBOOL(hAPP(sF9,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(resolution,[],[f1753,f1816]) ).
fof(f2529,plain,
! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = sF8
| hBOOL(hAPP(sF9,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(resolution,[],[f2518,f2268]) ).
fof(f2268,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),sF8))
| sF8 = X0
| hBOOL(hAPP(sF9,X0)) ),
inference(superposition,[],[f1999,f1815]) ).
fof(f1999,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
| X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(resolution,[],[f1664,f1661]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f1535]) ).
fof(f2518,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))
| ~ hBOOL(hAPP(sF9,X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
inference(resolution,[],[f2512,f1662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW207+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
% 0.16/0.37 % Computer : n024.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 17:54:21 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.YH81IRpKGb/Vampire---4.8_1893
% 0.60/0.80 % (2163)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 % (2156)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)
% 0.60/0.80 % (2158)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (2159)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)
% 0.60/0.80 % (2157)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)
% 0.60/0.80 % (2160)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)
% 0.60/0.80 % (2162)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)
% 0.60/0.80 % (2161)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)
% 0.60/0.81 % (2156)Instruction limit reached!
% 0.60/0.81 % (2156)------------------------------
% 0.60/0.81 % (2156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (2156)Termination reason: Unknown
% 0.60/0.81 % (2156)Termination phase: Property scanning
% 0.60/0.81
% 0.60/0.81 % (2156)Memory used [KB]: 2381
% 0.60/0.81 % (2156)Time elapsed: 0.017 s
% 0.60/0.81 % (2156)Instructions burned: 35 (million)
% 0.60/0.81 % (2156)------------------------------
% 0.60/0.81 % (2156)------------------------------
% 0.60/0.81 % (2160)Instruction limit reached!
% 0.60/0.81 % (2160)------------------------------
% 0.60/0.81 % (2160)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (2160)Termination reason: Unknown
% 0.60/0.81 % (2160)Termination phase: Preprocessing 3
% 0.60/0.81
% 0.60/0.81 % (2160)Memory used [KB]: 3138
% 0.60/0.81 % (2160)Time elapsed: 0.019 s
% 0.60/0.81 % (2160)Instructions burned: 34 (million)
% 0.60/0.81 % (2160)------------------------------
% 0.60/0.81 % (2160)------------------------------
% 0.60/0.82 % (2159)Instruction limit reached!
% 0.60/0.82 % (2159)------------------------------
% 0.60/0.82 % (2159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (2159)Termination reason: Unknown
% 0.60/0.82 % (2159)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (2159)Memory used [KB]: 2408
% 0.60/0.82 % (2159)Time elapsed: 0.021 s
% 0.60/0.82 % (2159)Instructions burned: 34 (million)
% 0.60/0.82 % (2159)------------------------------
% 0.60/0.82 % (2159)------------------------------
% 0.60/0.82 % (2164)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)
% 0.60/0.82 % (2165)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 % (2158)Instruction limit reached!
% 0.60/0.82 % (2158)------------------------------
% 0.60/0.82 % (2158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (2158)Termination reason: Unknown
% 0.60/0.82 % (2158)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (2158)Memory used [KB]: 3160
% 0.60/0.82 % (2158)Time elapsed: 0.025 s
% 0.60/0.82 % (2158)Instructions burned: 79 (million)
% 0.60/0.82 % (2158)------------------------------
% 0.60/0.82 % (2158)------------------------------
% 0.60/0.82 % (2166)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)
% 0.60/0.82 % (2157)Instruction limit reached!
% 0.60/0.82 % (2157)------------------------------
% 0.60/0.82 % (2157)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (2157)Termination reason: Unknown
% 0.60/0.82 % (2157)Termination phase: Property scanning
% 0.60/0.82
% 0.60/0.82 % (2157)Memory used [KB]: 3536
% 0.60/0.82 % (2157)Time elapsed: 0.027 s
% 0.60/0.82 % (2157)Instructions burned: 52 (million)
% 0.60/0.82 % (2157)------------------------------
% 0.60/0.82 % (2157)------------------------------
% 0.60/0.82 % (2161)Instruction limit reached!
% 0.60/0.82 % (2161)------------------------------
% 0.60/0.82 % (2161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (2161)Termination reason: Unknown
% 0.60/0.82 % (2161)Termination phase: Property scanning
% 0.60/0.82
% 0.60/0.82 % (2161)Memory used [KB]: 2744
% 0.60/0.82 % (2161)Time elapsed: 0.022 s
% 0.60/0.82 % (2161)Instructions burned: 46 (million)
% 0.60/0.82 % (2161)------------------------------
% 0.60/0.82 % (2161)------------------------------
% 0.60/0.82 % (2167)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 % (2163)Instruction limit reached!
% 0.60/0.82 % (2163)------------------------------
% 0.60/0.82 % (2163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (2163)Termination reason: Unknown
% 0.60/0.82 % (2163)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (2163)Memory used [KB]: 2858
% 0.60/0.82 % (2163)Time elapsed: 0.029 s
% 0.60/0.82 % (2163)Instructions burned: 56 (million)
% 0.60/0.82 % (2163)------------------------------
% 0.60/0.82 % (2163)------------------------------
% 0.60/0.83 % (2168)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)
% 0.60/0.83 % (2169)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)
% 0.60/0.83 % (2170)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)
% 0.60/0.84 % (2162)Instruction limit reached!
% 0.60/0.84 % (2162)------------------------------
% 0.60/0.84 % (2162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84 % (2162)Termination reason: Unknown
% 0.60/0.84 % (2162)Termination phase: Saturation
% 0.60/0.84
% 0.60/0.84 % (2162)Memory used [KB]: 3187
% 0.60/0.84 % (2162)Time elapsed: 0.046 s
% 0.60/0.84 % (2162)Instructions burned: 83 (million)
% 0.60/0.84 % (2162)------------------------------
% 0.60/0.84 % (2162)------------------------------
% 0.60/0.84 % (2167)Instruction limit reached!
% 0.60/0.84 % (2167)------------------------------
% 0.60/0.84 % (2167)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.84 % (2167)Termination reason: Unknown
% 0.60/0.84 % (2167)Termination phase: Property scanning
% 0.60/0.84
% 0.60/0.84 % (2167)Memory used [KB]: 2972
% 0.60/0.84 % (2167)Time elapsed: 0.023 s
% 0.60/0.84 % (2167)Instructions burned: 54 (million)
% 0.60/0.84 % (2167)------------------------------
% 0.60/0.84 % (2167)------------------------------
% 0.60/0.85 % (2187)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)
% 0.60/0.85 % (2188)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)
% 0.60/0.85 % (2164)Instruction limit reached!
% 0.60/0.85 % (2164)------------------------------
% 0.60/0.85 % (2164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85 % (2164)Termination reason: Unknown
% 0.60/0.85 % (2164)Termination phase: Property scanning
% 0.60/0.85
% 0.60/0.85 % (2164)Memory used [KB]: 3539
% 0.60/0.85 % (2164)Time elapsed: 0.040 s
% 0.60/0.85 % (2165)Instruction limit reached!
% 0.60/0.85 % (2165)------------------------------
% 0.60/0.85 % (2165)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.85 % (2165)Termination reason: Unknown
% 0.60/0.85 % (2165)Termination phase: Property scanning
% 0.60/0.85
% 0.60/0.85 % (2165)Memory used [KB]: 3540
% 0.60/0.85 % (2165)Time elapsed: 0.038 s
% 0.60/0.85 % (2165)Instructions burned: 50 (million)
% 0.60/0.85 % (2165)------------------------------
% 0.60/0.85 % (2165)------------------------------
% 0.60/0.85 % (2164)Instructions burned: 55 (million)
% 0.60/0.85 % (2164)------------------------------
% 0.60/0.85 % (2164)------------------------------
% 0.60/0.86 % (2192)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)
% 0.60/0.86 % (2193)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)
% 0.60/0.86 % (2169)Instruction limit reached!
% 0.60/0.86 % (2169)------------------------------
% 0.60/0.86 % (2169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.86 % (2169)Termination reason: Unknown
% 0.60/0.86 % (2169)Termination phase: Property scanning
% 0.60/0.86
% 0.60/0.86 % (2169)Memory used [KB]: 3539
% 0.60/0.86 % (2169)Time elapsed: 0.037 s
% 0.60/0.86 % (2169)Instructions burned: 43 (million)
% 0.60/0.86 % (2169)------------------------------
% 0.60/0.86 % (2169)------------------------------
% 0.95/0.87 % (2195)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)
% 0.95/0.89 % (2166)First to succeed.
% 0.99/0.90 % (2166)Refutation found. Thanks to Tanya!
% 0.99/0.90 % SZS status Theorem for Vampire---4
% 0.99/0.90 % SZS output start Proof for Vampire---4
% See solution above
% 0.99/0.90 % (2166)------------------------------
% 0.99/0.90 % (2166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.90 % (2166)Termination reason: Refutation
% 0.99/0.90
% 0.99/0.90 % (2166)Memory used [KB]: 2572
% 0.99/0.90 % (2166)Time elapsed: 0.075 s
% 0.99/0.90 % (2166)Instructions burned: 81 (million)
% 0.99/0.90 % (2166)------------------------------
% 0.99/0.90 % (2166)------------------------------
% 0.99/0.90 % (2152)Success in time 0.502 s
% 0.99/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------