TSTP Solution File: SCT073-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n032.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 : Tue Aug 22 10:55:12 EDT 2023
% Result : Unsatisfiable 220.37s 128.72s
% Output : CNFRefutation 220.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 107
% Syntax : Number of formulae : 122 ( 11 unt; 99 typ; 0 def)
% Number of atoms : 38 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 256 ( 89 >; 167 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 2 prp; 0-3 aty)
% Number of functors : 76 ( 76 usr; 9 con; 0-7 aty)
% Number of variables : 29 (; 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_fequal > c_Relation_Ototal__on > c_Relation_Orefl__on > c_Equiv__Relations_Oequiv > c_Wellfounded_Owf > c_Relation_Otrans > c_Relation_Osym > c_Nitpick_Orefl_H > c_Finite__Set_Ofinite > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_HOL_Oord > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 > c_List_Osko__Recdef__Xcuts__eq__1__1 > c_Relation_Orel__comp > c_Recdef_Ocut > c_FuncSet_Osko__FuncSet__XfuncsetI__1__1 > c_FuncSet_Osko__FuncSet__XPi__I__1__1 > c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 > c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 > c_ATP__Linkup_Osko__Relation__XImageE__1__1 > c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 > c_Set_Oimage > c_Relation_Oinv__image > c_Relation_OImage > c_Product__Type_OSigma > c_Pair > c_List_Osko__Equiv__Relations__XquotientE__1__1 > c_FuncSet_OPi > c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 > c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 > c_ATP__Linkup_Osko__Relation__XRangeE__1__1 > c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 > c_ATP__Linkup_Osko__Relation__XDomainE__1__1 > c_Set_Oinsert > c_Relation_Oconverse > c_Relation_ORange > c_Relation_ODomain > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_Equiv__Relations_Oquotient > c_COMBK > c_Arrow__Order__Mirabelle_Obelow > c_Arrow__Order__Mirabelle_Oabove > c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 > c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 > c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1 > c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1 > c_ATP__Linkup_Osko__Relation__XId__onE__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1 > c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1 > v_sko__Wellfounded__Xacc__Xinducts__1 > v_sko__Wellfounded__Xacc__Xinduct__1 > v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 > tc_prod > tc_fun > hAPP > c_Wellfounded_Oacc > c_Transitive__Closure_Otrancl > c_Transitive__Closure_Ortrancl > c_Relation_OId__on > c_Relation_OField > c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > c_Arrow__Order__Mirabelle_Omktop > c_Arrow__Order__Mirabelle_Omkbot > c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 > c_ATP__Linkup_Osko__Relation__XIdE__1__1 > #nlpp > c_Relation_OId > v_thesis____ > v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1 > v_r > v_b____ > v_a____ > tc_bool > tc_Arrow__Order__Mirabelle_Oalt > t_b > t_a > c_Arrow__Order__Mirabelle_OLin
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1,type,
c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1: ( $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_Transitive__Closure_Ortrancl,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__XIdE__1__1,type,
c_ATP__Linkup_Osko__Relation__XIdE__1__1: ( $i * $i ) > $i ).
tff(c_Relation_Oinv__image,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__XImageE__1__1,type,
c_ATP__Linkup_Osko__Relation__XImageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1,type,
c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_Oconverse,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__Equiv__Relations__XquotientE__1__1,type,
c_List_Osko__Equiv__Relations__XquotientE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Relation_Otrans,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1: ( $i * $i * $i ) > $i ).
tff(c_Recdef_Ocut,type,
c_Recdef_Ocut: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1,type,
c_ATP__Linkup_Osko__Relation__XRange__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1: ( $i * $i ) > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_Arrow__Order__Mirabelle_Oabove,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(c_Wellfounded_Oacc,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__XRangeE__1__1,type,
c_ATP__Linkup_Osko__Relation__XRangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_thesis____,type,
v_thesis____: $o ).
tff(c_Relation_Ototal__on,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(t_a,type,
t_a: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_ATP__Linkup_Osko__Relation__XId__onE__1__1,type,
c_ATP__Linkup_Osko__Relation__XId__onE__1__1: ( $i * $i * $i ) > $i ).
tff(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1,type,
c_FuncSet_Osko__FuncSet__XfuncsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_ORange,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1: ( $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_OInf__class_OInf,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1: ( $i * $i ) > $i ).
tff(c_Equiv__Relations_Oquotient,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,type,
v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1: $i ).
tff(c_Nitpick_Orefl_H,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1,type,
c_ATP__Linkup_Osko__Relation__XImage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1,type,
v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1: ( $i * $i ) > $i ).
tff(c_Relation_Osym,type,
c_Relation_Osym: ( $i * $i ) > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Relation__XDomainE__1__1,type,
c_ATP__Linkup_Osko__Relation__XDomainE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(c_Relation_OField,type,
c_Relation_OField: ( $i * $i ) > $i ).
tff(c_Relation_Orefl__on,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_Wellfounded_Owf,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(c_List_Osko__Recdef__Xcuts__eq__1__1,type,
c_List_Osko__Recdef__Xcuts__eq__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_Orel__comp,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_r,type,
v_r: $i ).
tff(c_Product__Type_OSigma,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1,type,
c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1: ( $i * $i * $i ) > $i ).
tff(c_FuncSet_Osko__FuncSet__XPi__I__1__1,type,
c_FuncSet_Osko__FuncSet__XPi__I__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1,type,
c_FuncSet_Osko__FuncSet__XPi__I_H__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Omktop,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Relation_OImage,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_OLin,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1,type,
c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1: ( $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(c_Arrow__Order__Mirabelle_Omkbot,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(v_b____,type,
v_b____: $i ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1,type,
c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Equiv__Relations_Oequiv,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(c_Relation_OId,type,
c_Relation_OId: $i > $i ).
tff(class_Lattices_Olower__semilattice,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(v_sko__Wellfounded__Xacc__Xinducts__1,type,
v_sko__Wellfounded__Xacc__Xinducts__1: ( $i * $i ) > $i ).
tff(v_a____,type,
v_a____: $i ).
tff(tc_Arrow__Order__Mirabelle_Oalt,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(t_b,type,
t_b: $i ).
tff(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1,type,
c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__Wellfounded__Xacc__Xinduct__1,type,
v_sko__Wellfounded__Xacc__Xinduct__1: ( $i * $i ) > $i ).
tff(c_Transitive__Closure_Otrancl,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(c_Relation_OId__on,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1: ( $i * $i * $i ) > $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_Relation_ODomain,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_FuncSet_OPi,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1: ( $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Obelow,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(f_2526,axiom,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file(unknown,unknown) ).
tff(f_3148,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file(unknown,unknown) ).
tff(f_3143,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_2518,axiom,
! [V_L,V_x] :
( c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file(unknown,unknown) ).
tff(f_3167,axiom,
v_a____ != v_b____,
file(unknown,unknown) ).
tff(f_2463,axiom,
! [V_x,V_y,V_L] :
( ( V_x = V_y )
| ( V_y = V_x )
| c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file(unknown,unknown) ).
tff(f_3169,axiom,
~ v_thesis____,
file(unknown,unknown) ).
tff(f_3156,axiom,
! [V_Lab] :
( v_thesis____
| ~ c_in(V_Lab,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lab,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file(unknown,unknown) ).
tff(c_928,plain,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(cnfTransformation,[status(thm)],[f_2526]) ).
tff(c_1412,plain,
! [V_x_2078,V_S_2079,T_a_2080] :
( ~ c_in(V_x_2078,V_S_2079,T_a_2080)
| hBOOL(hAPP(V_S_2079,V_x_2078)) ),
inference(cnfTransformation,[status(thm)],[f_3148]) ).
tff(c_1417,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
inference(resolution,[status(thm)],[c_928,c_1412]) ).
tff(c_1451,plain,
! [V_S_2083,V_x_2084,T_a_2085] :
( ~ hBOOL(hAPP(V_S_2083,V_x_2084))
| c_in(V_x_2084,V_S_2083,T_a_2085) ),
inference(cnfTransformation,[status(thm)],[f_3143]) ).
tff(c_1458,plain,
! [T_a_2085] : c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,T_a_2085),
inference(resolution,[status(thm)],[c_1417,c_1451]) ).
tff(c_924,plain,
! [V_L_1678,V_x_1679] :
( ~ c_in(V_L_1678,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L_1678,V_x_1679),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnfTransformation,[status(thm)],[f_2518]) ).
tff(c_1054,plain,
v_b____ != v_a____,
inference(cnfTransformation,[status(thm)],[f_3167]) ).
tff(c_904,plain,
! [V_x_1649,V_y_1650,V_L_1651] :
( c_in(c_Pair(V_x_1649,V_y_1650,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L_1651,V_x_1649),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ( V_y_1650 = V_x_1649 ) ),
inference(cnfTransformation,[status(thm)],[f_2463]) ).
tff(c_1056,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_3169]) ).
tff(c_1050,plain,
! [V_Lab_1942] :
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lab_1942,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(V_Lab_1942,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_thesis____ ),
inference(cnfTransformation,[status(thm)],[f_3156]) ).
tff(c_1205362,plain,
! [V_Lab_448074] :
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lab_448074,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(V_Lab_448074,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(negUnitSimplification,[status(thm)],[c_1056,c_1050]) ).
tff(c_1205459,plain,
! [V_L_1651] :
( ~ c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L_1651,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ( v_b____ = v_a____ ) ),
inference(resolution,[status(thm)],[c_904,c_1205362]) ).
tff(c_1209945,plain,
! [V_L_451556] : ~ c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L_451556,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(negUnitSimplification,[status(thm)],[c_1054,c_1205459]) ).
tff(c_1210018,plain,
! [V_L_452425] : ~ c_in(V_L_452425,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(resolution,[status(thm)],[c_924,c_1209945]) ).
tff(c_1210098,plain,
$false,
inference(resolution,[status(thm)],[c_1458,c_1210018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.31 % Computer : n032.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Thu Aug 3 13:23:51 EDT 2023
% 0.13/0.31 % CPUTime :
% 220.37/128.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 220.37/128.72
% 220.37/128.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 220.37/128.75
% 220.37/128.75 Inference rules
% 220.37/128.75 ----------------------
% 220.37/128.75 #Ref : 3
% 220.37/128.75 #Sup : 205934
% 220.37/128.75 #Fact : 2
% 220.37/128.75 #Define : 0
% 220.37/128.75 #Split : 4
% 220.37/128.75 #Chain : 0
% 220.37/128.75 #Close : 0
% 220.37/128.75
% 220.37/128.75 Ordering : KBO
% 220.37/128.75
% 220.37/128.75 Simplification rules
% 220.37/128.75 ----------------------
% 220.37/128.75 #Subsume : 38901
% 220.37/128.75 #Demod : 49238
% 220.37/128.75 #Tautology : 4995
% 220.37/128.75 #SimpNegUnit : 13
% 220.37/128.75 #BackRed : 1
% 220.37/128.75
% 220.37/128.75 #Partial instantiations: 157472
% 220.37/128.75 #Strategies tried : 1
% 220.37/128.75
% 220.37/128.75 Timing (in seconds)
% 220.37/128.75 ----------------------
% 220.37/128.76 Preprocessing : 1.36
% 220.37/128.76 Parsing : 0.78
% 220.37/128.76 CNF conversion : 0.11
% 220.37/128.76 Main loop : 126.41
% 220.37/128.76 Inferencing : 13.43
% 220.37/128.76 Reduction : 71.96
% 220.37/128.76 Demodulation : 63.56
% 220.37/128.76 BG Simplification : 1.69
% 220.37/128.76 Subsumption : 36.62
% 220.37/128.76 Abstraction : 1.59
% 220.37/128.76 MUC search : 0.00
% 220.37/128.76 Cooper : 0.00
% 220.37/128.76 Total : 127.82
% 220.37/128.76 Index Insertion : 0.00
% 220.37/128.76 Index Deletion : 0.00
% 220.37/128.76 Index Matching : 0.00
% 220.37/128.76 BG Taut test : 0.00
%------------------------------------------------------------------------------