TSTP Solution File: ITP015_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP015_3 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Mon May 20 22:31:08 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 62
% Syntax : Number of formulae : 96 ( 28 unt; 52 typ; 0 def)
% Number of atoms : 79 ( 61 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 64 ( 29 ~; 18 |; 10 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 35 ( 23 >; 12 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 13 con; 0-4 aty)
% Number of variables : 107 ( 80 !; 2 ?; 107 :)
% ( 25 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Ebool_2Eitself: $tType > $tType ).
tff(type_def_6,type,
tyop_2Efcp_2Ecart: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
tyop_2Einteger_2Eint: $tType ).
tff(type_def_8,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_10,type,
tyop_2Enum_2Enum: $tType ).
tff(type_def_11,type,
sK0: $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_2Eprim__rec_2E_3C_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(func_def_10,type,
c_2Eprim__rec_2E_3C_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_13,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_14,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_17,type,
c_2Ebool_2ECOND_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))) ).
tff(func_def_18,type,
c_2Ebool_2ECOND_2E3:
!>[X0: $tType] : ( ( tyop_2Emin_2Ebool * X0 * X0 ) > X0 ) ).
tff(func_def_19,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_20,type,
c_2Earithmetic_2EMOD_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(func_def_21,type,
c_2Earithmetic_2EMOD_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(func_def_22,type,
c_2Einteger_2ENum_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Enum_2Enum) ).
tff(func_def_23,type,
c_2Einteger_2ENum_2E1: tyop_2Einteger_2Eint > tyop_2Enum_2Enum ).
tff(func_def_24,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_25,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_26,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_27,type,
c_2Ewords_2Edimword_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(X0),tyop_2Enum_2Enum) ).
tff(func_def_28,type,
c_2Ewords_2Edimword_2E1:
!>[X0: $tType] : ( tyop_2Ebool_2Eitself(X0) > tyop_2Enum_2Enum ) ).
tff(func_def_29,type,
c_2Einteger__word_2Ei2w_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_30,type,
c_2Einteger__word_2Ei2w_2E1:
!>[X0: $tType] : ( tyop_2Einteger_2Eint > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_31,type,
c_2Einteger_2Eint__lt_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)) ).
tff(func_def_32,type,
c_2Einteger_2Eint__lt_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Emin_2Ebool ).
tff(func_def_33,type,
c_2Einteger_2Eint__neg_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint) ).
tff(func_def_34,type,
c_2Einteger_2Eint__neg_2E1: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
tff(func_def_35,type,
c_2Einteger_2Eint__of__num_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint) ).
tff(func_def_36,type,
c_2Einteger_2Eint__of__num_2E1: tyop_2Enum_2Enum > tyop_2Einteger_2Eint ).
tff(func_def_37,type,
c_2Ewords_2En2w_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_38,type,
c_2Ewords_2En2w_2E1:
!>[X0: $tType] : ( tyop_2Enum_2Enum > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_39,type,
c_2Ebool_2Ethe__value_2E0:
!>[X0: $tType] : tyop_2Ebool_2Eitself(X0) ).
tff(func_def_40,type,
c_2Ewords_2Eword__2comp_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_41,type,
c_2Ewords_2Eword__2comp_2E1:
!>[X0: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_42,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_43,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f157,plain,
$false,
inference(subsumption_resolution,[],[f156,f104]) ).
tff(f104,plain,
~ p(c_2Ebool_2EF_2E0),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
~ p(c_2Ebool_2EF_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Enotfalse) ).
tff(f156,plain,
p(c_2Ebool_2EF_2E0),
inference(forward_demodulation,[],[f155,f147]) ).
tff(f147,plain,
c_2Ebool_2EF_2E0 = c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),
inference(subsumption_resolution,[],[f142,f87]) ).
tff(f87,plain,
! [X0: $tType,X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X3,X4) = X3 ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X1,X2) = X2 )
& ! [X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X3,X4) = X3 ) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X0: $tType] :
( ! [X23: X0,X24: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X23,X24) = X24 )
& ! [X15: X0,X16: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X15,X16) = X15 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
tff(f142,plain,
( ( c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ebool_2ET_2E0,c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)) )
| ( c_2Ebool_2EF_2E0 = c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) ) ),
inference(superposition,[],[f141,f103]) ).
tff(f103,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2ET_2E0 = X0 )
| ( c_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( c_2Ebool_2EF_2E0 = X8 )
| ( c_2Ebool_2ET_2E0 = X8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Ebool__cases__ax) ).
tff(f141,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)),
inference(forward_demodulation,[],[f140,f101]) ).
tff(f101,plain,
! [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0)) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,axiom,
! [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__NEG__0) ).
tff(f140,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(sK0,c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)),
inference(forward_demodulation,[],[f139,f93]) ).
tff(f93,plain,
! [X0: tyop_2Enum_2Enum] : ( c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__of__num_2E1(X0)) = X0 ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: tyop_2Enum_2Enum] : ( c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__of__num_2E1(X0)) = X0 ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X25: tyop_2Enum_2Enum] : ( c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__of__num_2E1(X25)) = X25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2ENUM__OF__INT) ).
tff(f139,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(sK0,c_2Ewords_2En2w_2E1(sK0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)))),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)),
inference(forward_demodulation,[],[f138,f100]) ).
tff(f100,plain,
c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0) = c_2Einteger_2Eint__neg_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0) = c_2Einteger_2Eint__neg_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__0) ).
tff(f138,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(sK0,c_2Ewords_2En2w_2E1(sK0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__neg_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0))))),c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)),
inference(forward_demodulation,[],[f122,f93]) ).
tff(f122,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(sK0,c_2Ewords_2En2w_2E1(sK0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__neg_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0))))),c_2Ewords_2En2w_2E1(sK0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)))),
inference(definition_unfolding,[],[f83,f86]) ).
tff(f86,plain,
! [X0: $tType,X1: tyop_2Einteger_2Eint] : ( c_2Einteger__word_2Ei2w_2E1(X0,X1) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Einteger_2Eint__lt_2E2(X1,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__neg_2E1(X1)))),c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(X1))) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: $tType,X1: tyop_2Einteger_2Eint] : ( c_2Einteger__word_2Ei2w_2E1(X0,X1) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Einteger_2Eint__lt_2E2(X1,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__neg_2E1(X1)))),c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(X1))) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X0: $tType,X27: tyop_2Einteger_2Eint] : ( c_2Einteger__word_2Ei2w_2E1(X0,X27) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Einteger_2Eint__lt_2E2(X27,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(c_2Einteger_2Eint__neg_2E1(X27)))),c_2Ewords_2En2w_2E1(X0,c_2Einteger_2ENum_2E1(X27))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def) ).
tff(f83,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Einteger__word_2Ei2w_2E1(sK0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Einteger__word_2Ei2w_2E1(sK0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f65,f74]) ).
tff(f74,plain,
( ? [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) != c_2Einteger__word_2Ei2w_2E1(X0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) )
=> ( c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Einteger__word_2Ei2w_2E1(sK0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) ) ),
introduced(choice_axiom,[]) ).
tff(f65,plain,
? [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) != c_2Einteger__word_2Ei2w_2E1(X0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) ),
inference(ennf_transformation,[],[f51]) ).
tff(f51,negated_conjecture,
~ ! [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) = c_2Einteger__word_2Ei2w_2E1(X0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) ),
inference(negated_conjecture,[],[f50]) ).
tff(f50,conjecture,
! [X0: $tType] : ( c_2Ewords_2En2w_2E1(X0,c_2Enum_2E0_2E0) = c_2Einteger__word_2Ei2w_2E1(X0,c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).
tff(f155,plain,
p(c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0))),
inference(subsumption_resolution,[],[f154,f88]) ).
tff(f88,plain,
! [X0: $tType,X2: X0,X1: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f54]) ).
tff(f154,plain,
! [X0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0)] :
( ( c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ebool_2EF_2E0,X0,c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)) )
| p(c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0))) ),
inference(forward_demodulation,[],[f145,f147]) ).
tff(f145,plain,
! [X0: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0)] :
( ( c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0) != c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0)),X0,c_2Ewords_2En2w_2E1(sK0,c_2Enum_2E0_2E0)) )
| p(c_2Einteger_2Eint__lt_2E2(c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0),c_2Einteger_2Eint__of__num_2E1(c_2Enum_2E0_2E0))) ),
inference(superposition,[],[f141,f131]) ).
tff(f131,plain,
! [X0: $tType,X2: tyop_2Emin_2Ebool,X3: X0,X6: X0,X4: X0] :
( ( c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) = c_2Ebool_2ECOND_2E3(X0,X2,X3,X6) )
| p(X2) ),
inference(equality_resolution,[],[f130]) ).
tff(f130,plain,
! [X0: $tType,X2: tyop_2Emin_2Ebool,X3: X0,X1: tyop_2Emin_2Ebool,X6: X0,X4: X0] :
( ( c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) = c_2Ebool_2ECOND_2E3(X0,X1,X3,X6) )
| p(X2)
| ( X1 != X2 ) ),
inference(equality_resolution,[],[f91]) ).
tff(f91,plain,
! [X0: $tType,X2: tyop_2Emin_2Ebool,X3: X0,X1: tyop_2Emin_2Ebool,X6: X0,X4: X0,X5: X0] :
( ( c_2Ebool_2ECOND_2E3(X0,X1,X3,X5) = c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) )
| ( X5 != X6 )
| p(X2)
| ( X1 != X2 ) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: $tType,X1: tyop_2Emin_2Ebool,X2: tyop_2Emin_2Ebool,X3: X0,X4: X0,X5: X0,X6: X0] :
( ( c_2Ebool_2ECOND_2E3(X0,X1,X3,X5) = c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) )
| ( ( X5 != X6 )
& ~ p(X2) )
| ( ( X3 != X4 )
& p(X2) )
| ( X1 != X2 ) ),
inference(flattening,[],[f66]) ).
tff(f66,plain,
! [X0: $tType,X1: tyop_2Emin_2Ebool,X2: tyop_2Emin_2Ebool,X3: X0,X4: X0,X5: X0,X6: X0] :
( ( c_2Ebool_2ECOND_2E3(X0,X1,X3,X5) = c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) )
| ( ( X5 != X6 )
& ~ p(X2) )
| ( ( X3 != X4 )
& p(X2) )
| ( X1 != X2 ) ),
inference(ennf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $tType,X1: tyop_2Emin_2Ebool,X2: tyop_2Emin_2Ebool,X3: X0,X4: X0,X5: X0,X6: X0] :
( ( ( ~ p(X2)
=> ( X5 = X6 ) )
& ( p(X2)
=> ( X3 = X4 ) )
& ( X1 = X2 ) )
=> ( c_2Ebool_2ECOND_2E3(X0,X1,X3,X5) = c_2Ebool_2ECOND_2E3(X0,X2,X4,X6) ) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X0: $tType,X18: tyop_2Emin_2Ebool,X19: tyop_2Emin_2Ebool,X5: X0,X20: X0,X21: X0,X22: X0] :
( ( ( ~ p(X19)
=> ( X21 = X22 ) )
& ( p(X19)
=> ( X5 = X20 ) )
& ( X18 = X19 ) )
=> ( c_2Ebool_2ECOND_2E3(X0,X18,X5,X21) = c_2Ebool_2ECOND_2E3(X0,X19,X20,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CONG) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP015_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 17:17:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF1_THM_EQU_NAR problem
% 0.14/0.36 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/benchmark/theBenchmark.p
% 0.56/0.74 % (19803)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74 % (19796)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (19803)Refutation not found, incomplete strategy% (19803)------------------------------
% 0.56/0.74 % (19803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (19803)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (19803)Memory used [KB]: 1048
% 0.56/0.74 % (19803)Time elapsed: 0.002 s
% 0.56/0.74 % (19803)Instructions burned: 3 (million)
% 0.56/0.74 % (19798)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (19799)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (19797)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (19801)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (19800)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (19803)------------------------------
% 0.56/0.74 % (19803)------------------------------
% 0.56/0.74 % (19802)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (19802)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.74 % (19799)Refutation not found, incomplete strategy% (19799)------------------------------
% 0.56/0.74 % (19799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (19799)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (19799)Memory used [KB]: 1039
% 0.56/0.74 % (19799)Time elapsed: 0.003 s
% 0.56/0.74 % (19799)Instructions burned: 2 (million)
% 0.56/0.74 % (19799)------------------------------
% 0.56/0.74 % (19799)------------------------------
% 0.56/0.74 % (19802)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.74 % (19796)Refutation not found, incomplete strategy% (19796)------------------------------
% 0.56/0.74 % (19796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (19796)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (19796)Memory used [KB]: 1067
% 0.56/0.74 % (19796)Time elapsed: 0.004 s
% 0.56/0.74 % (19796)Instructions burned: 4 (million)
% 0.56/0.74 % (19801)First to succeed.
% 0.56/0.74 % (19807)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.74 % (19796)------------------------------
% 0.56/0.74 % (19796)------------------------------
% 0.56/0.75 % (19802)Also succeeded, but the first one will report.
% 0.56/0.75 % (19801)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19648"
% 0.56/0.75 % (19800)Refutation not found, incomplete strategy% (19800)------------------------------
% 0.56/0.75 % (19800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19800)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (19800)Memory used [KB]: 1163
% 0.56/0.75 % (19800)Time elapsed: 0.005 s
% 0.56/0.75 % (19800)Instructions burned: 7 (million)
% 0.56/0.75 % (19800)------------------------------
% 0.56/0.75 % (19800)------------------------------
% 0.56/0.75 % (19801)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (19801)------------------------------
% 0.56/0.75 % (19801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19801)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (19801)Memory used [KB]: 1063
% 0.56/0.75 % (19801)Time elapsed: 0.005 s
% 0.56/0.75 % (19801)Instructions burned: 6 (million)
% 0.56/0.75 % (19648)Success in time 0.377 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------