TSTP Solution File: ITP019_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP019_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 06:48:23 EDT 2024
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 40
% Syntax : Number of formulae : 64 ( 15 unt; 34 typ; 0 def)
% Number of atoms : 49 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 7 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 24 ( 15 >; 9 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 10 con; 0-4 aty)
% Number of variables : 41 ( 22 !; 2 ?; 41 :)
% ( 17 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
tyop_2Enum_2Enum: $tType ).
tff(type_def_8,type,
tyop_2Epair_2Eprod: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
tyop_2Erealax_2Ereal: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Enum_2E0_2E0: tyop_2Enum_2Enum ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_10,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_12,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_14,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_15,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_16,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_17,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_18,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_19,type,
c_2Ecomplex_2Ecomplex__inv_2E0: tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)) ).
tff(func_def_20,type,
c_2Ecomplex_2Ecomplex__inv_2E1: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) > tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) ).
tff(func_def_21,type,
c_2Ecomplex_2Ecomplex__of__num_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)) ).
tff(func_def_22,type,
c_2Ecomplex_2Ecomplex__of__num_2E1: tyop_2Enum_2Enum > tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) ).
tff(func_def_23,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_24,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_25,type,
sK0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal) ).
tff(func_def_26,type,
sK1:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sQ2_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f81,plain,
$false,
inference(subsumption_resolution,[],[f80,f62]) ).
tff(f62,plain,
~ sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),sK0,app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0)),
inference(equality_proxy_replacement,[],[f56,f60]) ).
tff(f60,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
tff(f56,plain,
sK0 != app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),
inference(definition_unfolding,[],[f46,f54]) ).
tff(f54,plain,
! [X0: tyop_2Enum_2Enum] : ( c_2Ecomplex_2Ecomplex__of__num_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: tyop_2Enum_2Enum] : ( c_2Ecomplex_2Ecomplex__of__num_2E1(X0) = app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,X0) ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X12: tyop_2Enum_2Enum] : ( c_2Ecomplex_2Ecomplex__of__num_2E1(X12) = app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,X12) ),
file('/export/starexec/sandbox2/tmp/tmp.0kyyUUi0s0/Vampire---4.8_4656',arityeq1_2Ec_2Ecomplex_2Ecomplex__of__num_2E1) ).
tff(f46,plain,
c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != sK0,
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(sK0) )
& ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f40]) ).
tff(f40,plain,
( ? [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(X0) )
& ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X0 ) )
=> ( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(sK0) )
& ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
? [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(X0) )
& ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X0 ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
~ ! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X0 )
=> ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != c_2Ecomplex_2Ecomplex__inv_2E1(X0) ) ),
inference(rectify,[],[f30]) ).
tff(f30,negated_conjecture,
~ ! [X14: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X14 )
=> ( c_2Ecomplex_2Ecomplex__inv_2E1(X14) != c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) ) ),
inference(negated_conjecture,[],[f29]) ).
tff(f29,conjecture,
! [X14: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X14 )
=> ( c_2Ecomplex_2Ecomplex__inv_2E1(X14) != c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0kyyUUi0s0/Vampire---4.8_4656',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(f80,plain,
sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),sK0,app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0)),
inference(forward_literal_rewriting,[],[f77,f69]) ).
tff(f69,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ2_eqProxy(X0,X2,X1)
| ~ sQ2_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f60]) ).
tff(f77,plain,
sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),sK0),
inference(resolution,[],[f76,f61]) ).
tff(f61,plain,
sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,sK0)),
inference(equality_proxy_replacement,[],[f55,f60]) ).
tff(f55,plain,
app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0) = app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,sK0),
inference(definition_unfolding,[],[f47,f54,f53]) ).
tff(f53,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] : ( c_2Ecomplex_2Ecomplex__inv_2E1(X0) = app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] : ( c_2Ecomplex_2Ecomplex__inv_2E1(X0) = app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X0) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X12: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] : ( c_2Ecomplex_2Ecomplex__inv_2E1(X12) = app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X12) ),
file('/export/starexec/sandbox2/tmp/tmp.0kyyUUi0s0/Vampire---4.8_4656',arityeq1_2Ec_2Ecomplex_2Ecomplex__inv_2E1) ).
tff(f47,plain,
c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(sK0),
inference(cnf_transformation,[],[f41]) ).
tff(f76,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ~ sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X0))
| sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),X0) ),
inference(forward_literal_rewriting,[],[f67,f69]) ).
tff(f67,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0),X0)
| ~ sQ2_eqProxy(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X0),app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0)) ),
inference(equality_proxy_replacement,[],[f58,f60]) ).
tff(f58,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0) = X0 )
| ( app_2E2(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E0,X0) != app_2E2(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E0,c_2Enum_2E0_2E0) ) ),
inference(definition_unfolding,[],[f51,f54,f54,f53]) ).
tff(f51,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = X0 )
| ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != c_2Ecomplex_2Ecomplex__inv_2E1(X0) ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(X0) )
| ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != X0 ) )
& ( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = X0 )
| ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) != c_2Ecomplex_2Ecomplex__inv_2E1(X0) ) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = c_2Ecomplex_2Ecomplex__inv_2E1(X0) )
<=> ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = X0 ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X14: tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)] :
( ( c_2Ecomplex_2Ecomplex__inv_2E1(X14) = c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) )
<=> ( c_2Ecomplex_2Ecomplex__of__num_2E1(c_2Enum_2E0_2E0) = X14 ) ),
file('/export/starexec/sandbox2/tmp/tmp.0kyyUUi0s0/Vampire---4.8_4656',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP019_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 18:55:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TF1_THM_EQU_NAR problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0kyyUUi0s0/Vampire---4.8_4656
% 0.55/0.73 % (4764)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 (2996ds/34Mi)
% 0.55/0.73 % (4769)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.73 % (4767)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.73 % (4766)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (4765)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 (2996ds/51Mi)
% 0.55/0.73 % (4768)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 (2996ds/34Mi)
% 0.55/0.73 % (4770)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 (2996ds/83Mi)
% 0.55/0.73 % (4770)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.55/0.73 % (4764)First to succeed.
% 0.55/0.73 % (4770)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.55/0.73 % (4769)Also succeeded, but the first one will report.
% 0.55/0.73 % (4767)Also succeeded, but the first one will report.
% 0.55/0.73 % (4764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4763"
% 0.55/0.73 % (4770)Also succeeded, but the first one will report.
% 0.55/0.73 % (4766)Also succeeded, but the first one will report.
% 0.55/0.73 % (4768)Also succeeded, but the first one will report.
% 0.55/0.73 % (4764)Refutation found. Thanks to Tanya!
% 0.55/0.73 % SZS status Theorem for Vampire---4
% 0.55/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73 % (4764)------------------------------
% 0.55/0.73 % (4764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (4764)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (4764)Memory used [KB]: 1058
% 0.55/0.73 % (4764)Time elapsed: 0.003 s
% 0.55/0.73 % (4764)Instructions burned: 4 (million)
% 0.55/0.73 % (4763)Success in time 0.376 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------