TSTP Solution File: ITP013_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP013_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 : n005.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 22:30:55 EDT 2024
% Result : Theorem 0.80s 0.94s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 58
% Syntax : Number of formulae : 101 ( 41 unt; 45 typ; 0 def)
% Number of atoms : 113 ( 78 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 88 ( 31 ~; 17 |; 28 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 35 ( 20 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 11 con; 0-4 aty)
% Number of variables : 154 ( 122 !; 6 ?; 154 :)
% ( 26 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Efcp_2Ecart: ( $tType * $tType ) > $tType ).
tff(type_def_6,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_7,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_8,type,
tyop_2Enum_2Enum: $tType ).
tff(type_def_9,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_2Earithmetic_2E_2B_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(func_def_7,type,
c_2Earithmetic_2E_2B_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(func_def_8,type,
c_2Earithmetic_2E_2D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(func_def_9,type,
c_2Earithmetic_2E_2D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(func_def_10,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_11,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Earithmetic_2E_3C_3D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(func_def_13,type,
c_2Earithmetic_2E_3C_3D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(func_def_14,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_15,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_16,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_17,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_19,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_20,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_21,type,
c_2Ebool_2ECOND_2E3:
!>[X0: $tType] : ( ( tyop_2Emin_2Ebool * X0 * X0 ) > X0 ) ).
tff(func_def_22,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_23,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_24,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_25,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_26,type,
c_2Ewords_2En2w_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_27,type,
c_2Ewords_2En2w_2E1:
!>[X0: $tType] : ( tyop_2Enum_2Enum > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_28,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_29,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_30,type,
c_2Ewords_2Eword__add_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).
tff(func_def_31,type,
c_2Ewords_2Eword__add_2E2:
!>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_32,type,
c_2Ewords_2Eword__sub_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).
tff(func_def_33,type,
c_2Ewords_2Eword__sub_2E2:
!>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_34,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_35,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_36,type,
sK1: tyop_2Enum_2Enum ).
tff(func_def_37,type,
sK2: tyop_2Enum_2Enum ).
tff(func_def_38,type,
sK3:
!>[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(f354,plain,
$false,
inference(trivial_inequality_removal,[],[f353]) ).
tff(f353,plain,
app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2)) != app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2)),
inference(superposition,[],[f335,f346]) ).
tff(f346,plain,
! [X0: $tType] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2)) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK1)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK2)) ),
inference(forward_demodulation,[],[f341,f178]) ).
tff(f178,plain,
! [X0: $tType,X3: X0,X4: X0] : ( app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),c_2Ebool_2ET_2E0),X3),X4) = X3 ),
inference(definition_unfolding,[],[f128,f135]) ).
tff(f135,plain,
! [X0: $tType,X2: X0,X3: X0,X1: tyop_2Emin_2Ebool] : ( c_2Ebool_2ECOND_2E3(X0,X1,X2,X3) = app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),X1),X2),X3) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: $tType,X1: tyop_2Emin_2Ebool,X2: X0,X3: X0] : ( c_2Ebool_2ECOND_2E3(X0,X1,X2,X3) = app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),X1),X2),X3) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X0: $tType,X12: tyop_2Emin_2Ebool,X13: X0,X14: X0] : ( c_2Ebool_2ECOND_2E3(X0,X12,X13,X14) = app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),X12),X13),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a) ).
tff(f128,plain,
! [X0: $tType,X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X3,X4) = X3 ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,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,[],[f43]) ).
tff(f43,axiom,
! [X0: $tType] :
( ! [X26: X0,X27: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X26,X27) = X27 )
& ! [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(f341,plain,
! [X0: $tType] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK1)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK2)) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ebool_2ET_2E0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK2),sK1)))) ),
inference(superposition,[],[f215,f216]) ).
tff(f216,plain,
c_2Ebool_2ET_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,sK2),sK1),
inference(resolution,[],[f144,f172]) ).
tff(f172,plain,
p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,sK2),sK1)),
inference(definition_unfolding,[],[f99,f122]) ).
tff(f122,plain,
! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X12: tyop_2Enum_2Enum,X13: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X12,X13) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X12),X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).
tff(f99,plain,
p(c_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)),
inference(cnf_transformation,[],[f85]) ).
tff(f85,plain,
( ( c_2Ewords_2En2w_2E1(sK0,c_2Earithmetic_2E_2D_2E2(sK1,sK2)) != c_2Ewords_2Eword__sub_2E2(sK0,c_2Ewords_2En2w_2E1(sK0,sK1),c_2Ewords_2En2w_2E1(sK0,sK2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f74,f84]) ).
tff(f84,plain,
( ? [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) != c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1)) )
=> ( ( c_2Ewords_2En2w_2E1(sK0,c_2Earithmetic_2E_2D_2E2(sK1,sK2)) != c_2Ewords_2Eword__sub_2E2(sK0,c_2Ewords_2En2w_2E1(sK0,sK1),c_2Ewords_2En2w_2E1(sK0,sK2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(sK2,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f74,plain,
? [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) != c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1)) ),
inference(ennf_transformation,[],[f48]) ).
tff(f48,plain,
~ ! [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) ) ),
inference(rectify,[],[f47]) ).
tff(f47,negated_conjecture,
~ ! [X0: $tType,X34: tyop_2Enum_2Enum,X35: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X35,X34))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X34,X35)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X34),c_2Ewords_2En2w_2E1(X0,X35)) ) ),
inference(negated_conjecture,[],[f46]) ).
tff(f46,conjecture,
! [X0: $tType,X34: tyop_2Enum_2Enum,X35: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X35,X34))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X34,X35)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X34),c_2Ewords_2En2w_2E1(X0,X35)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
tff(f144,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(flattening,[],[f94]) ).
tff(f94,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f215,plain,
! [X1: $tType,X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X3),X2)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X2),X3))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X3),X2)))) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__sub_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X2)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X3)) ),
inference(backward_demodulation,[],[f173,f176]) ).
tff(f176,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X2)) ),
inference(definition_unfolding,[],[f126,f170]) ).
tff(f170,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X2)) ),
inference(definition_unfolding,[],[f125,f138,f136]) ).
tff(f136,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__2comp_2E1(X0,X1) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X1) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__2comp_2E1(X0,X1) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X1) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X1: $tType,X12: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)] : ( c_2Ewords_2Eword__2comp_2E1(X1,X12) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27b) ).
tff(f138,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__add_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),X2) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__add_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),X2) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X1: $tType,X12: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X13: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)] : ( c_2Ewords_2Eword__add_2E2(X1,X12,X13) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__add_2E0(X1),X12),X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27b) ).
tff(f125,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X0: $tType,X28: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X28,X29) = c_2Ewords_2Eword__add_2E2(X0,X28,c_2Ewords_2Eword__2comp_2E1(X0,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
tff(f126,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X0: $tType,X12: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X13: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X12,X13) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X12),X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a) ).
tff(f173,plain,
! [X1: $tType,X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__add_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X2)),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X3))) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X3),X2)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X2),X3))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X3),X2)))) ),
inference(definition_unfolding,[],[f120,f138,f123,f136,f123,f135,f122,f123,f121,f136,f123,f121]) ).
tff(f121,plain,
! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X0),X1) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X0),X1) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X12: tyop_2Enum_2Enum,X13: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X12,X13) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X12),X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).
tff(f123,plain,
! [X0: $tType,X1: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),X1) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $tType,X1: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),X1) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X1: $tType,X12: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(X1,X12) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b) ).
tff(f120,plain,
! [X1: $tType,X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X2),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X3))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X3,X2),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X2,X3)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X3,X2)))) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: $tType,X1: $tType] :
( ! [X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X2),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X3))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X3,X2),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X2,X3)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X3,X2)))) )
& ! [X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X4)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X5))) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2B_2E2(X4,X5))) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X0: $tType,X1: $tType] :
( ! [X32: tyop_2Enum_2Enum,X33: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X32),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X33))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X33,X32),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X32,X33)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X33,X32)))) )
& ! [X30: tyop_2Enum_2Enum,X31: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X30)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X31))) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2B_2E2(X30,X31))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(f335,plain,
app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2)) != app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0)),c_2Ewords_2Eword__sub_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),sK1)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),sK2)),
inference(superposition,[],[f171,f176]) ).
tff(f171,plain,
app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK1),sK2)) != app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0)),c_2Ewords_2Eword__add_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),sK1)),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2Eword__2comp_2E0(sK0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK0),c_2Ewords_2En2w_2E0(sK0),sK2))),
inference(definition_unfolding,[],[f100,f123,f121,f170,f123,f123]) ).
tff(f100,plain,
c_2Ewords_2En2w_2E1(sK0,c_2Earithmetic_2E_2D_2E2(sK1,sK2)) != c_2Ewords_2Eword__sub_2E2(sK0,c_2Ewords_2En2w_2E1(sK0,sK1),c_2Ewords_2En2w_2E1(sK0,sK2)),
inference(cnf_transformation,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP013_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % 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 : n005.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 : Sat May 18 16:16:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF1_THM_EQU_NAR problem
% 0.15/0.36 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
% 0.69/0.92 % (15938)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 (2994ds/34Mi)
% 0.69/0.92 % (15939)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 (2994ds/51Mi)
% 0.69/0.92 % (15940)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.92 % (15941)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.92 % (15942)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 (2994ds/34Mi)
% 0.69/0.92 % (15943)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.92 % (15945)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 (2994ds/56Mi)
% 0.69/0.92 % (15944)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 (2994ds/83Mi)
% 0.69/0.92 % (15944)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.69/0.92 % (15945)Refutation not found, incomplete strategy% (15945)------------------------------
% 0.69/0.92 % (15945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (15945)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92
% 0.69/0.92 % (15945)Memory used [KB]: 1045
% 0.69/0.92 % (15945)Time elapsed: 0.003 s
% 0.69/0.92 % (15945)Instructions burned: 3 (million)
% 0.69/0.92 % (15941)Refutation not found, incomplete strategy% (15941)------------------------------
% 0.69/0.92 % (15941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (15941)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92
% 0.69/0.92 % (15941)Memory used [KB]: 1057
% 0.69/0.92 % (15943)Refutation not found, incomplete strategy% (15943)------------------------------
% 0.69/0.92 % (15943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (15941)Time elapsed: 0.003 s
% 0.69/0.92 % (15941)Instructions burned: 3 (million)
% 0.69/0.92 % (15943)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92
% 0.69/0.92 % (15943)Memory used [KB]: 1044
% 0.69/0.92 % (15943)Time elapsed: 0.003 s
% 0.69/0.92 % (15943)Instructions burned: 3 (million)
% 0.69/0.92 % (15945)------------------------------
% 0.69/0.92 % (15945)------------------------------
% 0.69/0.92 % (15941)------------------------------
% 0.69/0.92 % (15941)------------------------------
% 0.69/0.92 % (15943)------------------------------
% 0.69/0.92 % (15943)------------------------------
% 0.69/0.92 % (15944)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.69/0.92 % (15938)Refutation not found, incomplete strategy% (15938)------------------------------
% 0.69/0.92 % (15938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.92 % (15938)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.92
% 0.69/0.92 % (15938)Memory used [KB]: 1075
% 0.69/0.92 % (15938)Time elapsed: 0.005 s
% 0.69/0.92 % (15938)Instructions burned: 5 (million)
% 0.69/0.93 % (15938)------------------------------
% 0.69/0.93 % (15938)------------------------------
% 0.69/0.93 % (15942)Refutation not found, incomplete strategy% (15942)------------------------------
% 0.69/0.93 % (15942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.93 % (15942)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.93
% 0.69/0.93 % (15942)Memory used [KB]: 1165
% 0.69/0.93 % (15942)Time elapsed: 0.006 s
% 0.69/0.93 % (15942)Instructions burned: 8 (million)
% 0.69/0.93 % (15942)------------------------------
% 0.69/0.93 % (15942)------------------------------
% 0.69/0.93 % (15946)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 (2994ds/55Mi)
% 0.69/0.93 % (15947)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 theBenchmark for (2994ds/50Mi)
% 0.69/0.93 % (15948)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.69/0.93 % (15949)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 theBenchmark for (2994ds/52Mi)
% 0.69/0.93 % (15950)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 theBenchmark for (2994ds/518Mi)
% 0.69/0.93 % (15950)Refutation not found, incomplete strategy% (15950)------------------------------
% 0.69/0.93 % (15950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.94 % (15950)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.94
% 0.69/0.94 % (15950)Memory used [KB]: 1103
% 0.69/0.94 % (15950)Time elapsed: 0.006 s
% 0.69/0.94 % (15950)Instructions burned: 8 (million)
% 0.80/0.94 % (15950)------------------------------
% 0.80/0.94 % (15950)------------------------------
% 0.80/0.94 % (15951)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 theBenchmark for (2994ds/42Mi)
% 0.80/0.94 % (15940)First to succeed.
% 0.80/0.94 % (15940)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15929"
% 0.80/0.94 % (15940)Refutation found. Thanks to Tanya!
% 0.80/0.94 % SZS status Theorem for theBenchmark
% 0.80/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.94 % (15940)------------------------------
% 0.80/0.94 % (15940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.94 % (15940)Termination reason: Refutation
% 0.80/0.94
% 0.80/0.94 % (15940)Memory used [KB]: 1235
% 0.80/0.94 % (15940)Time elapsed: 0.022 s
% 0.80/0.94 % (15940)Instructions burned: 33 (million)
% 0.80/0.94 % (15929)Success in time 0.575 s
% 0.80/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------