TSTP Solution File: ITP001+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% 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 : 600s
% DateTime : Sat Jul 16 23:08:44 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(thm_2Ebool_2ET__DEF,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
input ).
fof(thm_2Ebool_2ET__DEF_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ET__DEF]) ).
fof(thm_2Ebool_2ET__DEF_1,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ET__DEF]) ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_1,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) != s(A_27a,X1_2E0)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
input ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_0,plain,
! [X0_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_1,plain,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(reserved_2Equant_2E_3F,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_3F_0,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_3F_1,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_21,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_21_0,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Equant_2E_21_1,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Elogic_2E_3D,axiom,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
<=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
input ).
fof(reserved_2Elogic_2E_3D_0,plain,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_1,plain,
! [A_27a,V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_3D_3D_3E_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_3D_3D_3E_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_7E,axiom,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
<=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
input ).
fof(reserved_2Elogic_2E_7E_0,plain,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_7E_1,plain,
! [V0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_5C_2F,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_5C_2F_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_5C_2F_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_2F_5C,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_2F_5C_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Elogic_2E_2F_5C_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Eho_2Es__thm,axiom,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))),
input ).
fof(reserved_2Eho_2Es__thm_0,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Es__thm]) ).
fof(reserved_2Eho_2Ek__thm,axiom,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ek__thm_0,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ek__thm]) ).
fof(reserved_2Eho_2Ei__thm,axiom,
! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ei__thm_0,plain,
! [A_27a,V0x_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ei__thm]) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
input ).
fof(reserved_2Eho_2Enotfalse_0,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
fof(reserved_2Eho_2Etruth,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
input ).
fof(reserved_2Eho_2Etruth_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Etruth]) ).
fof(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0,V1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
input ).
fof(reserved_2Eho_2Eboolext_0,plain,
! [V0_2E0,V1_2E0] :
( s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eboolext]) ).
fof(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
=> s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
input ).
fof(reserved_2Eho_2Eeq__ext_0,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eeq__ext]) ).
fof(def_lhs_atom1,axiom,
! [V1g_2E0,V0f_2E0,A_27b,A_27a] :
( lhs_atom1(V1g_2E0,V0f_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( lhs_atom1(V1g_2E0,V0f_2E0,A_27b,A_27a)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eeq__ext_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom2(V1_2E0,V0_2E0)
<=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom2(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eboolext_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Etruth_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Enotfalse_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom5(V0x_2E0,A_27a)
<=> s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A_27a,V0x_2E0] :
( lhs_atom5(V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ei__thm_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V1y_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom6(V1y_2E0,V0x_2E0,A_27b,A_27a)
<=> s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( lhs_atom6(V1y_2E0,V0x_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ek__thm_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a] :
( lhs_atom7(V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a)
<=> s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( lhs_atom7(V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Es__thm_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom8(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom8(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_1,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom9(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom9(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom10(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom10(V1_2E0,V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_1,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom11(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom11(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V0_2E0] :
( lhs_atom12(V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [V0_2E0] :
( lhs_atom12(V0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_1,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V0_2E0] :
( lhs_atom13(V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [V0_2E0] :
( lhs_atom13(V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom14(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom14(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_1,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom15(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom15(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V1_2E0,V0_2E0,A_27a] :
( lhs_atom16(V1_2E0,V0_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom16(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_1,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V1_2E0,V0_2E0,A_27a] :
( lhs_atom17(V1_2E0,V0_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom17(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom18(V0f_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A_27a,V0f_2E0] :
( lhs_atom18(V0f_2E0,A_27a)
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_1,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom19(V0f_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A_27a,V0f_2E0] :
( lhs_atom19(V0f_2E0,A_27a)
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom20(V0f_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A_27a,V0f_2E0] :
( lhs_atom20(V0f_2E0,A_27a)
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_1,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom21(V0f_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A_27a,V0f_2E0] :
( lhs_atom21(V0f_2E0,A_27a)
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom22(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom22(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_1,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom23(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom23(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom24(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom24(X1_2E0,X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_1,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom25(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom25(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [X0_2E0] :
( lhs_atom26(X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [X0_2E0] :
( lhs_atom26(X0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_1,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [X0_2E0] :
( lhs_atom27(X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [X0_2E0] :
( lhs_atom27(X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom28(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom28(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_1,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom29(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom29(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom30(X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,X0_2E0) != s(A_27a,X1_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom30(X1_2E0,X0_2E0,A_27a)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_1,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom31(X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,X0_2E0) = s(A_27a,X1_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom31(X1_2E0,X0_2E0,A_27a)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [X0_2E0,A_27a] :
( lhs_atom32(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [A_27a,X0_2E0] :
( lhs_atom32(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [X0_2E0,A_27a] :
( lhs_atom33(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [A_27a,X0_2E0] :
( lhs_atom33(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
( lhs_atom34
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
( lhs_atom34
| ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ET__DEF_1,def_lhs_atom34]) ).
fof(to_be_clausified_34,plain,
( lhs_atom3
| ~ ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ET__DEF_0,def_lhs_atom3]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,axiom,
! [X5,X1,X2,X10,X3,X4] :
( lhs_atom7(X5,X1,X2,X10,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_2,axiom,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_3,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_4,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_5,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_6,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_7,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_8,axiom,
! [X9,X8,X3,X4] :
( lhs_atom6(X9,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_9,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_10,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_11,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_12,axiom,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_13,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_14,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_15,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_16,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_17,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_18,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_19,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_20,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_21,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_22,axiom,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_23,axiom,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_24,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_25,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_26,axiom,
( lhs_atom3
| ~ ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_27,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_28,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_29,axiom,
( lhs_atom34
| ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_30,axiom,
! [X13,X4] :
( lhs_atom33(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_31,axiom,
! [X13,X4] :
( lhs_atom32(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_32,axiom,
! [X8,X4] :
( lhs_atom5(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_33,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_34,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_35,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
c_0_0 ).
fof(c_0_36,plain,
! [X5,X1,X2,X10,X3,X4] : lhs_atom7(X5,X1,X2,X10,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_37,plain,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_38,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
c_0_3 ).
fof(c_0_39,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_4 ).
fof(c_0_40,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_5 ).
fof(c_0_41,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_6 ).
fof(c_0_42,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_7 ).
fof(c_0_43,plain,
! [X9,X8,X3,X4] : lhs_atom6(X9,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_44,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_9 ).
fof(c_0_45,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_10 ).
fof(c_0_46,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_11 ).
fof(c_0_47,plain,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_48,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_13 ).
fof(c_0_49,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_14 ).
fof(c_0_50,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
c_0_15 ).
fof(c_0_51,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
c_0_16 ).
fof(c_0_52,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
c_0_17 ).
fof(c_0_53,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_18 ).
fof(c_0_54,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_19 ).
fof(c_0_55,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_20 ).
fof(c_0_56,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_21 ).
fof(c_0_57,plain,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_58,plain,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_59,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_24 ).
fof(c_0_60,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_25 ).
fof(c_0_61,axiom,
( lhs_atom3
| ~ ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
c_0_26 ).
fof(c_0_62,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
c_0_27 ).
fof(c_0_63,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
c_0_28 ).
fof(c_0_64,axiom,
( lhs_atom34
| ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
c_0_29 ).
fof(c_0_65,plain,
! [X13,X4] : lhs_atom33(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_66,plain,
! [X13,X4] : lhs_atom32(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_67,plain,
! [X8,X4] : lhs_atom5(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_68,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_69,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_70,plain,
! [X6,X7,X8,X9] :
( lhs_atom1(X6,X7,X8,X9)
| s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X7),s(X9,esk1_4(X6,X7,X8,X9)))) != s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X6),s(X9,esk1_4(X6,X7,X8,X9)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_71,plain,
! [X11,X12,X13,X14,X15,X16] : lhs_atom7(X11,X12,X13,X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_72,plain,
! [X14,X15,X16] :
( lhs_atom31(X14,X15,X16)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_73,plain,
! [X14,X15,X16] :
( lhs_atom30(X14,X15,X16)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_74,plain,
! [X12,X13] :
( lhs_atom19(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk2_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_75,plain,
! [X12,X13,X14] :
( lhs_atom21(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_76,plain,
! [X12,X13] :
( lhs_atom20(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk3_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_77,plain,
! [X12,X13,X14] :
( lhs_atom18(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_78,plain,
! [X10,X11,X12,X13] : lhs_atom6(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_79,plain,
! [X14,X15] :
( lhs_atom23(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_80,plain,
! [X8,X9] :
( lhs_atom9(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_81,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_82,plain,
! [X8,X9,X10] :
( lhs_atom17(X8,X9,X10)
| s(X10,X9) != s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_83,plain,
! [X14,X15] :
( lhs_atom28(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_84,plain,
! [X8,X9] :
( lhs_atom14(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
fof(c_0_85,plain,
! [X8,X9,X10] :
( lhs_atom16(X8,X9,X10)
| s(X10,X9) = s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_86,plain,
! [X14,X15] :
( lhs_atom24(X14,X15)
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_87,plain,
! [X8,X9] :
( lhs_atom10(X8,X9)
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_88,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom29(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom29(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_89,plain,
! [X14,X15] :
( ( ~ p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom25(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom25(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_90,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom15(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom15(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_91,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom11(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom11(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
fof(c_0_92,plain,
! [X14] :
( lhs_atom26(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_93,plain,
! [X8] :
( lhs_atom12(X8)
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_94,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom22(X14,X15) )
& ( p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom22(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_95,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom8(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom8(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).
fof(c_0_96,plain,
( lhs_atom3
| s(tyop_2Emin_2Ebool,esk4_0) != s(tyop_2Emin_2Ebool,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
fof(c_0_97,plain,
! [X14] :
( lhs_atom27(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_98,plain,
! [X8] :
( lhs_atom13(X8)
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_99,plain,
! [X9] :
( lhs_atom34
| s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).
fof(c_0_100,plain,
! [X14,X15] : lhs_atom33(X14,X15),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_101,plain,
! [X14,X15] : lhs_atom32(X14,X15),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_102,plain,
! [X9,X10] : lhs_atom5(X9,X10),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_103,plain,
lhs_atom4,
c_0_68 ).
fof(c_0_104,plain,
lhs_atom3,
c_0_69 ).
cnf(c_0_105,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk1_4(X4,X3,X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_108,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_109,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X2,X1))))) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_110,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_111,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_113,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_114,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_116,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_117,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_118,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_119,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_120,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_121,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_122,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_123,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_124,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_125,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_126,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_127,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_128,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_129,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_130,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_131,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_132,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_133,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_134,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_135,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_136,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_137,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_138,plain,
( lhs_atom3
| $false ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_139,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_140,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_141,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| lhs_atom34 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_142,plain,
lhs_atom33(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_143,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_144,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_145,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_146,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_147,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk1_4(X4,X3,X1,X2)))) ),
c_0_105,
[final] ).
cnf(c_0_148,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
c_0_106,
[final] ).
cnf(c_0_149,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
c_0_107,
[final] ).
cnf(c_0_150,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
c_0_108,
[final] ).
cnf(c_0_151,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X2,X1))))) ),
c_0_109,
[final] ).
cnf(c_0_152,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
c_0_110,
[final] ).
cnf(c_0_153,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
c_0_111,
[final] ).
cnf(c_0_154,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
c_0_112,
[final] ).
cnf(c_0_155,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_113,
[final] ).
cnf(c_0_156,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_114,
[final] ).
cnf(c_0_157,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_115,
[final] ).
cnf(c_0_158,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_116,
[final] ).
cnf(c_0_159,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
c_0_117,
[final] ).
cnf(c_0_160,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_118,
[final] ).
cnf(c_0_161,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_119,
[final] ).
cnf(c_0_162,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
c_0_120,
[final] ).
cnf(c_0_163,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
c_0_121,
[final] ).
cnf(c_0_164,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
c_0_122,
[final] ).
cnf(c_0_165,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_123,
[final] ).
cnf(c_0_166,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_124,
[final] ).
cnf(c_0_167,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_125,
[final] ).
cnf(c_0_168,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_126,
[final] ).
cnf(c_0_169,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_127,
[final] ).
cnf(c_0_170,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_128,
[final] ).
cnf(c_0_171,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_129,
[final] ).
cnf(c_0_172,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_130,
[final] ).
cnf(c_0_173,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_131,
[final] ).
cnf(c_0_174,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_132,
[final] ).
cnf(c_0_175,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_133,
[final] ).
cnf(c_0_176,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_134,
[final] ).
cnf(c_0_177,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_135,
[final] ).
cnf(c_0_178,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_136,
[final] ).
cnf(c_0_179,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_137,
[final] ).
cnf(c_0_180,plain,
( lhs_atom3
| $false ),
c_0_138,
[final] ).
cnf(c_0_181,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
c_0_139,
[final] ).
cnf(c_0_182,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
c_0_140,
[final] ).
cnf(c_0_183,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| lhs_atom34 ),
c_0_141,
[final] ).
cnf(c_0_184,plain,
lhs_atom33(X1,X2),
c_0_142,
[final] ).
cnf(c_0_185,plain,
lhs_atom32(X1,X2),
c_0_143,
[final] ).
cnf(c_0_186,plain,
lhs_atom5(X1,X2),
c_0_144,
[final] ).
cnf(c_0_187,plain,
lhs_atom4,
c_0_145,
[final] ).
cnf(c_0_188,plain,
lhs_atom3,
c_0_146,
[final] ).
% End CNF derivation
cnf(c_0_147_0,axiom,
( s(tyop_2Emin_2Efun(X2,X1),X3) = s(tyop_2Emin_2Efun(X2,X1),X4)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,sk1_esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,sk1_esk1_4(X4,X3,X1,X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom1]) ).
cnf(c_0_149_0,axiom,
( s(X1,X2) = s(X1,X3)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom31]) ).
cnf(c_0_150_0,axiom,
( s(X1,X2) != s(X1,X3)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom30]) ).
cnf(c_0_151_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk2_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom19]) ).
cnf(c_0_152_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom21]) ).
cnf(c_0_153_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk3_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom20]) ).
cnf(c_0_154_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom18]) ).
cnf(c_0_156_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom23]) ).
cnf(c_0_157_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom9]) ).
cnf(c_0_158_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom2]) ).
cnf(c_0_159_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) != s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom17]) ).
cnf(c_0_160_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom28]) ).
cnf(c_0_161_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom14]) ).
cnf(c_0_162_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) = s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom16]) ).
cnf(c_0_163_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom24]) ).
cnf(c_0_164_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom10]) ).
cnf(c_0_165_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom2]) ).
cnf(c_0_166_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom29]) ).
cnf(c_0_167_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom25]) ).
cnf(c_0_168_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom25]) ).
cnf(c_0_169_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom15]) ).
cnf(c_0_170_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom11]) ).
cnf(c_0_171_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom11]) ).
cnf(c_0_172_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom26]) ).
cnf(c_0_173_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom12]) ).
cnf(c_0_174_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom29]) ).
cnf(c_0_175_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom22]) ).
cnf(c_0_176_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom22]) ).
cnf(c_0_177_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom15]) ).
cnf(c_0_178_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom8]) ).
cnf(c_0_179_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom8]) ).
cnf(c_0_180_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom3]) ).
cnf(c_0_181_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom27]) ).
cnf(c_0_182_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom13]) ).
cnf(c_0_183_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1) ),
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom34]) ).
cnf(c_0_148_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X6,X4),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4))),combin_s_2E0),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3))),s(tyop_2Emin_2Efun(X6,X5),X2))),s(X6,X1))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X5,X4),app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3),s(X6,X1))),s(X5,app_2E2(s(tyop_2Emin_2Efun(X6,X5),X2),s(X6,X1))))),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom7]) ).
cnf(c_0_155_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X3,X4)),combin_k_2E0),s(X4,X2))),s(X3,X1))) = s(X4,X2),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom6]) ).
cnf(c_0_184_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom33]) ).
cnf(c_0_185_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom32]) ).
cnf(c_0_186_0,axiom,
s(X2,app_2E2(s(tyop_2Emin_2Efun(X2,X2),combin_i_2E0),s(X2,X1))) = s(X2,X1),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom5]) ).
cnf(c_0_187_0,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom4]) ).
cnf(c_0_188_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom3]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('<stdin>',reserved_2Eho_2Ebool__cases__ax) ).
fof(c_0_1_002,axiom,
! [X1] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
c_0_0 ).
fof(c_0_2_003,plain,
! [X2] :
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_004,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_3,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_1,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,conjecture,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('<stdin>',thm_2Ebool_2ETRUTH) ).
fof(c_0_1_007,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_008,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
c_0_1 ).
cnf(c_0_3_009,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_010,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_12,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_c32ca1.p',c_0_180_0) ).
cnf(c_44,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_c32ca1.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_12,c_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 21:59:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_77644d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_c32ca1.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_60a6a5 | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.45 % --bmc1_dump_file -
% 0.20/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.45 % --bmc1_ucm_extend_mode 1
% 0.20/0.45 % --bmc1_ucm_init_mode 2
% 0.20/0.45 % --bmc1_ucm_cone_mode none
% 0.20/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.45 % --bmc1_ucm_relax_model 4
% 0.20/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.45 % --bmc1_ucm_layered_model none
% 0.20/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.45
% 0.20/0.45 % ------ AIG Options
% 0.20/0.45
% 0.20/0.45 % --aig_mode false
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation Options
% 0.20/0.45
% 0.20/0.45 % --instantiation_flag true
% 0.20/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45 % --inst_solver_per_active 750
% 0.20/0.45 % --inst_solver_calls_frac 0.5
% 0.20/0.45 % --inst_passive_queue_type priority_queues
% 0.20/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45 % --inst_passive_queues_freq [25;2]
% 0.20/0.45 % --inst_dismatching true
% 0.20/0.45 % --inst_eager_unprocessed_to_passive true
% 0.20/0.45 % --inst_prop_sim_given true
% 0.20/0.45 % --inst_prop_sim_new false
% 0.20/0.45 % --inst_orphan_elimination true
% 0.20/0.45 % --inst_learning_loop_flag true
% 0.20/0.45 % --inst_learning_start 3000
% 0.20/0.45 % --inst_learning_factor 2
% 0.20/0.45 % --inst_start_prop_sim_after_learn 3
% 0.20/0.45 % --inst_sel_renew solver
% 0.20/0.45 % --inst_lit_activity_flag true
% 0.20/0.45 % --inst_out_proof true
% 0.20/0.45
% 0.20/0.45 % ------ Resolution Options
% 0.20/0.45
% 0.20/0.45 % --resolution_flag true
% 0.20/0.45 % --res_lit_sel kbo_max
% 0.20/0.45 % --res_to_prop_solver none
% 0.20/0.45 % --res_prop_simpl_new false
% 0.20/0.45 % --res_prop_simpl_given false
% 0.20/0.45 % --res_passive_queue_type priority_queues
% 0.20/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45 % --res_passive_queues_freq [15;5]
% 0.20/0.45 % --res_forward_subs full
% 0.20/0.45 % --res_backward_subs full
% 0.20/0.45 % --res_forward_subs_resolution true
% 0.20/0.45 % --res_backward_subs_resolution true
% 0.20/0.45 % --res_orphan_elimination false
% 0.20/0.45 % --res_time_limit 1000.
% 0.20/0.45 % --res_out_proof true
% 0.20/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_77644d.s
% 0.20/0.45 % --modulo true
% 0.20/0.45
% 0.20/0.45 % ------ Combination Options
% 0.20/0.45
% 0.20/0.45 % --comb_res_mult 1000
% 0.20/0.45 % --comb_inst_mult 300
% 0.20/0.45 % ------
% 0.20/0.45
% 0.20/0.45 % ------ Parsing...% successful
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % ------ Statistics
% 0.20/0.45
% 0.20/0.45 % ------ General
% 0.20/0.45
% 0.20/0.45 % num_of_input_clauses: 45
% 0.20/0.45 % num_of_input_neg_conjectures: 1
% 0.20/0.45 % num_of_splits: 0
% 0.20/0.45 % num_of_split_atoms: 0
% 0.20/0.45 % num_of_sem_filtered_clauses: 0
% 0.20/0.45 % num_of_subtypes: 0
% 0.20/0.45 % monotx_restored_types: 0
% 0.20/0.45 % sat_num_of_epr_types: 0
% 0.20/0.45 % sat_num_of_non_cyclic_types: 0
% 0.20/0.45 % sat_guarded_non_collapsed_types: 0
% 0.20/0.45 % is_epr: 0
% 0.20/0.45 % is_horn: 0
% 0.20/0.45 % has_eq: 0
% 0.20/0.45 % num_pure_diseq_elim: 0
% 0.20/0.45 % simp_replaced_by: 0
% 0.20/0.45 % res_preprocessed: 0
% 0.20/0.45 % prep_upred: 0
% 0.20/0.45 % prep_unflattend: 0
% 0.20/0.45 % pred_elim_cands: 0
% 0.20/0.45 % pred_elim: 0
% 0.20/0.45 % pred_elim_cl: 0
% 0.20/0.45 % pred_elim_cycles: 0
% 0.20/0.45 % forced_gc_time: 0
% 0.20/0.45 % gc_basic_clause_elim: 0
% 0.20/0.45 % parsing_time: 0.002
% 0.20/0.45 % sem_filter_time: 0.
% 0.20/0.45 % pred_elim_time: 0.
% 0.20/0.45 % out_proof_time: 0.
% 0.20/0.45 % monotx_time: 0.
% 0.20/0.45 % subtype_inf_time: 0.
% 0.20/0.45 % unif_index_cands_time: 0.
% 0.20/0.45 % unif_index_add_time: 0.
% 0.20/0.45 % total_time: 0.022
% 0.20/0.45 % num_of_symbols: 52
% 0.20/0.45 % num_of_terms: 378
% 0.20/0.45
% 0.20/0.45 % ------ Propositional Solver
% 0.20/0.45
% 0.20/0.45 % prop_solver_calls: 0
% 0.20/0.45 % prop_fast_solver_calls: 0
% 0.20/0.45 % prop_num_of_clauses: 57
% 0.20/0.45 % prop_preprocess_simplified: 7
% 0.20/0.45 % prop_fo_subsumed: 0
% 0.20/0.45 % prop_solver_time: 0.
% 0.20/0.45 % prop_fast_solver_time: 0.
% 0.20/0.45 % prop_unsat_core_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ QBF
% 0.20/0.45
% 0.20/0.45 % qbf_q_res: 0
% 0.20/0.45 % qbf_num_tautologies: 0
% 0.20/0.45 % qbf_prep_cycles: 0
% 0.20/0.45
% 0.20/0.45 % ------ BMC1
% 0.20/0.45
% 0.20/0.45 % bmc1_current_bound: -1
% 0.20/0.45 % bmc1_last_solved_bound: -1
% 0.20/0.45 % bmc1_unsat_core_size: -1
% 0.20/0.45 % bmc1_unsat_core_parents_size: -1
% 0.20/0.45 % bmc1_merge_next_fun: 0
% 0.20/0.45 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Instantiation
% 0.20/0.45
% 0.20/0.45 % inst_num_of_clauses: undef
% 0.20/0.45 % inst_num_in_passive: undef
% 0.20/0.45 % inst_num_in_active: 0
% 0.20/0.45 % inst_num_in_unprocessed: 0
% 0.20/0.45 % inst_num_of_loops: 0
% 0.20/0.45 % inst_num_of_learning_restarts: 0
% 0.20/0.45 % inst_num_moves_active_passive: 0
% 0.20/0.45 % inst_lit_activity: 0
% 0.20/0.45 % inst_lit_activity_moves: 0
% 0.20/0.45 % inst_num_tautologies: 0
% 0.20/0.45 % inst_num_prop_implied: 0
% 0.20/0.45 % inst_num_existing_simplified: 0
% 0.20/0.45 % inst_num_eq_res_simplified: 0
% 0.20/0.45 % inst_num_child_elim: 0
% 0.20/0.45 % inst_num_of_dismatching_blockings: 0
% 0.20/0.45 % inst_num_of_non_proper_insts: 0
% 0.20/0.45 % inst_num_of_duplicates: 0
% 0.20/0.45 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.45 % inst_dismatching_checking_time: 0.
% 0.20/0.45
% 0.20/0.45 % ------ Resolution
% 0.20/0.45
% 0.20/0.45 % res_num_of_clauses: undef
% 0.20/0.45 % res_num_in_passive: undef
% 0.20/0.45 % res_num_in_active: 0
% 0.20/0.45 % res_num_of_loops: 0
% 0.20/0.45 % res_forward_subset_subsumed: 0
% 0.20/0.45 % res_backward_subset_subsumed: 0
% 0.20/0.45 % res_forward_subsumed: 0
% 0.20/0.45 % res_backward_subsumed: 0
% 0.20/0.45 % res_forward_subsumption_resolution: 0
% 0.20/0.45 % res_backward_subsumption_resolution: 0
% 0.20/0.45 % res_clause_to_clause_subsumption: 0
% 0.20/0.45 % res_orphan_elimination: 0
% 0.20/0.45 % res_tautology_del: 0
% 0.20/0.45 % res_num_eq_res_simplified: 0
% 0.20/0.45 % res_num_sel_changes: 0
% 0.20/0.45 % res_moves_from_active_to_pass: 0
% 0.20/0.45
% 0.20/0.45 % Status Unsatisfiable
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------