TSTP Solution File: SCT052-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT052-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 10:55:10 EDT 2023
% Result : Unsatisfiable 7.17s 2.63s
% Output : CNFRefutation 7.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 128
% Syntax : Number of formulae : 131 ( 5 unt; 126 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 328 ( 112 >; 216 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-6 aty)
% Number of functors : 94 ( 94 usr; 14 con; 0-7 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Equiv__Relations_Ocongruent2 > c_FunDef_Oin__rel > c_Equiv__Relations_Ocongruent > c_lessequals > c_in > c_fequal > c_Relation_Ototal__on > c_Relation_Osingle__valued > c_Relation_Orefl__on > c_Order__Relation_Ostrict__linear__order__on > c_Equiv__Relations_Oequiv > c_Wellfounded_Owf > c_Wellfounded_Oacyclic > c_Relation_Otrans > c_Relation_Osym > c_Relation_Oirrefl > c_Relation_Oantisym > c_Nitpick_Orefl_H > c_Arrow__Order__Mirabelle_Odictator > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Oab__group__add > class_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_HOL_Oord > c_Arrow__Order__Mirabelle_Ounanimity > c_Arrow__Order__Mirabelle_OIIA > c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 > v_sko__local__X2__1 > v_sko__local__X1__1 > c_List_Osko__Recdef__Xcuts__eq__1__1 > c_Relation_Orel__comp > c_Recdef_Ocut > c_FuncSet_Osko__FuncSet__XPi__I__1__1 > c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 > c_COMBC > c_COMBB > c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 > c_ATP__Linkup_Osko__Relation__XImageE__1__1 > v_sko__Arrow__Order__Mirabelle__XIIA__def__1 > c_split > c_Set_Oimage > c_Relation_Oinv__image > c_Relation_OImage > c_Product__Type_OSigma > c_Pair > c_FuncSet_OPi > c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__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__Xrtrancl__induct__1__2 > c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 > c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__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 > v_sko__Transitive__Closure__Xtrancl__Xcases__1 > v_sko__Transitive__Closure__Xrtrancl__Xcases__1 > v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 > c_Set_Oinsert > c_Relation_Oconverse > c_Relation_ORange > c_Relation_ODomain > c_List_Osko__Recdef__Xtfl__wf__induct__1__1 > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Ominus__class_Ominus > c_Equiv__Relations_Oquotient > c_COMBK > c_Arrow__Order__Mirabelle_Oabove > c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 > c_ATP__Linkup_Osko__Wellfounded__Xwf__def__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__XId__onE__1__1 > v_sko__Wellfounded__Xacc__Xinducts__1 > v_sko__Wellfounded__Xacc__Xinduct__1 > v_sko__Arrow__Order__Mirabelle__Xdictator__def__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_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 > 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__Xirrefl__def__1__1 > c_ATP__Linkup_Osko__Relation__XIdE__1__1 > #nlpp > v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 > v_sko__Arrow__Order__Mirabelle__XIIA__def__3 > v_sko__Arrow__Order__Mirabelle__XIIA__def__2 > v_P_H____ > c_Relation_OId > v_r > v_c____ > v_b____ > v_a____ > v_P____ > v_F > tc_bool > tc_Arrow__Order__Mirabelle_Oindi > tc_Arrow__Order__Mirabelle_Oalt > t_b > t_a > c_Arrow__Order__Mirabelle_Obelow > c_Arrow__Order__Mirabelle_OProf > 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(v_sko__Arrow__Order__Mirabelle__XIIA__def__1,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Relation_Oirrefl,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
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_Relation_Oantisym,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
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__Transitive__Closure__XrtranclE__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1: ( $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(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1,type,
v_sko__Arrow__Order__Mirabelle__Xdictator__def__1: ( $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_COMBC,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_OIIA,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
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,
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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_Relation_Osingle__valued,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1,type,
v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1: ( $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_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1: ( $i * $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(c_Relation_Ototal__on,type,
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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_COMBB,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
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_Relation_ORange,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1: ( $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_List_Osko__Recdef__Xtfl__wf__induct__1__1,type,
c_List_Osko__Recdef__Xtfl__wf__induct__1__1: ( $i * $i * $i ) > $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
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tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(c_split,type,
c_split: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1,type,
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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,
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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(c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(v_sko__Arrow__Order__Mirabelle__XIIA__def__2,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__2: $i > $i ).
tff(c_Arrow__Order__Mirabelle_Odictator,type,
c_Arrow__Order__Mirabelle_Odictator: ( $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1,type,
c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1: ( $i * $i ) > $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,
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tff(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1,type,
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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_Wellfounded_Oacyclic,type,
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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_Arrow__Order__Mirabelle_OProf,type,
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tff(c_Relation_Orefl__on,type,
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tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
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tff(c_Wellfounded_Owf,type,
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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(tc_Arrow__Order__Mirabelle_Oindi,type,
tc_Arrow__Order__Mirabelle_Oindi: $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,
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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(v_sko__local__X2__1,type,
v_sko__local__X2__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Omktop,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(c_Equiv__Relations_Ocongruent2,type,
c_Equiv__Relations_Ocongruent2: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1,type,
c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).
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_Order__Relation_Ostrict__linear__order__on,type,
c_Order__Relation_Ostrict__linear__order__on: ( $i * $i * $i ) > $o ).
tff(c_Arrow__Order__Mirabelle_OLin,type,
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tff(class_OrderedGroup_Oab__group__add,type,
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tff(v_c____,type,
v_c____: $i ).
tff(hAPP,type,
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tff(c_Arrow__Order__Mirabelle_Omkbot,type,
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tff(class_Lattices_Odistrib__lattice,type,
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tff(v_b____,type,
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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,
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tff(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1,type,
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tff(c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(v_P____,type,
v_P____: $i ).
tff(c_Equiv__Relations_Oequiv,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(v_F,type,
v_F: $i ).
tff(c_Relation_OId,type,
c_Relation_OId: $i > $i ).
tff(class_Lattices_Olower__semilattice,type,
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tff(v_sko__Transitive__Closure__Xtrancl__Xcases__1,type,
v_sko__Transitive__Closure__Xtrancl__Xcases__1: ( $i * $i * $i ) > $i ).
tff(v_sko__Wellfounded__Xacc__Xinducts__1,type,
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tff(c_FunDef_Oin__rel,type,
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tff(v_a____,type,
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tff(v_sko__Arrow__Order__Mirabelle__XIIA__def__3,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__3: $i > $i ).
tff(tc_Arrow__Order__Mirabelle_Oalt,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(v_sko__Transitive__Closure__Xrtrancl__Xcases__1,type,
v_sko__Transitive__Closure__Xrtrancl__Xcases__1: ( $i * $i * $i ) > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(t_b,type,
t_b: $i ).
tff(c_Arrow__Order__Mirabelle_Ounanimity,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
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(v_sko__local__X1__1,type,
v_sko__local__X1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_OId__on,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(c_Equiv__Relations_Ocongruent,type,
c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).
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(v_P_H____,type,
v_P_H____: $i > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(c_Arrow__Order__Mirabelle_Obelow,type,
c_Arrow__Order__Mirabelle_Obelow: $i ).
tff(c_FuncSet_OPi,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2,type,
v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2: $i > $i ).
tff(f_3719,axiom,
v_b____ = v_c____,
file(unknown,unknown) ).
tff(f_3718,axiom,
v_b____ != v_c____,
file(unknown,unknown) ).
tff(c_1196,plain,
v_c____ = v_b____,
inference(cnfTransformation,[status(thm)],[f_3719]) ).
tff(c_1194,plain,
v_c____ != v_b____,
inference(cnfTransformation,[status(thm)],[f_3718]) ).
tff(c_1240,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1196,c_1194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SCT052-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 13:41:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.17/2.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.17/2.64
% 7.17/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.17/2.66
% 7.17/2.66 Inference rules
% 7.17/2.66 ----------------------
% 7.17/2.66 #Ref : 0
% 7.17/2.66 #Sup : 0
% 7.17/2.66 #Fact : 0
% 7.17/2.66 #Define : 0
% 7.17/2.66 #Split : 0
% 7.17/2.66 #Chain : 0
% 7.17/2.66 #Close : 0
% 7.17/2.66
% 7.17/2.66 Ordering : KBO
% 7.17/2.66
% 7.17/2.66 Simplification rules
% 7.17/2.66 ----------------------
% 7.17/2.66 #Subsume : 617
% 7.17/2.66 #Demod : 9
% 7.17/2.66 #Tautology : 0
% 7.17/2.66 #SimpNegUnit : 0
% 7.17/2.66 #BackRed : 0
% 7.17/2.66
% 7.17/2.66 #Partial instantiations: 0
% 7.17/2.66 #Strategies tried : 1
% 7.17/2.66
% 7.17/2.66 Timing (in seconds)
% 7.17/2.66 ----------------------
% 7.17/2.67 Preprocessing : 1.49
% 7.17/2.67 Parsing : 0.85
% 7.17/2.67 CNF conversion : 0.12
% 7.17/2.67 Main loop : 0.12
% 7.17/2.67 Inferencing : 0.00
% 7.17/2.67 Reduction : 0.05
% 7.17/2.67 Demodulation : 0.04
% 7.17/2.67 BG Simplification : 0.12
% 7.17/2.67 Subsumption : 0.04
% 7.17/2.67 Abstraction : 0.03
% 7.17/2.67 MUC search : 0.00
% 7.17/2.67 Cooper : 0.00
% 7.17/2.67 Total : 1.66
% 7.17/2.67 Index Insertion : 0.00
% 7.17/2.67 Index Deletion : 0.00
% 7.17/2.67 Index Matching : 0.00
% 7.17/2.67 BG Taut test : 0.00
%------------------------------------------------------------------------------