TSTP Solution File: SWV837-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:48:20 EDT 2023
% Result : Unsatisfiable 0.53s 0.74s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 58
% Syntax : Number of formulae : 64 ( 7 unt; 54 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 97 ( 48 >; 49 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_23,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_25,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
tc_bool: $i ).
tff(decl_27,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_30,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_31,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_33,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_35,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_39,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_43,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_45,type,
c_SetInterval_Oord__class_OatLeast: ( $i * $i ) > $i ).
tff(decl_46,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_47,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_48,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_49,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_50,type,
hBOOL: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_52,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_53,type,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(decl_54,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_55,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_56,type,
class_HOL_Oord: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_59,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_60,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_61,type,
class_Orderings_Otop: $i > $o ).
tff(decl_62,type,
class_Orderings_Obot: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_64,type,
c_Orderings_Oorder__class_Omono: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_67,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
v_G_Ha: $i ).
tff(decl_71,type,
v_tsa: $i ).
tff(decl_72,type,
t_a: $i ).
tff(decl_73,type,
v_G: $i ).
tff(decl_74,type,
v_Ga: $i ).
tff(decl_75,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_cut_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_3,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_4,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
cls_cut_0 ).
cnf(c_0_5,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
cls_conjecture_0 ).
cnf(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
cls_conjecture_4 ).
cnf(c_0_7,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,v_tsa,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,v_G_Ha,t_a) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
cls_conjecture_3 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV837-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 10:57:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.53/0.74 % Version : CSE_E---1.5
% 0.53/0.74 % Problem : theBenchmark.p
% 0.53/0.74 % Proof found
% 0.53/0.74 % SZS status Theorem for theBenchmark.p
% 0.53/0.74 % SZS output start Proof
% See solution above
% 0.53/0.75 % Total time : 0.168000 s
% 0.53/0.75 % SZS output end Proof
% 0.53/0.75 % Total time : 0.179000 s
%------------------------------------------------------------------------------