TSTP Solution File: LCL808-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 06:59:44 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 35
% Syntax : Number of formulae : 42 ( 9 unt; 30 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 20 >; 14 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 9 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_23,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_24,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_25,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_27,type,
tc_nat: $i ).
tff(decl_28,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_29,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_30,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_31,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_32,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_33,type,
c_Lambda_OdB_OApp: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_35,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_36,type,
c_Lambda_Obeta: ( $i * $i ) > $o ).
tff(decl_37,type,
c_Lambda_Osko__Lambda__Xbeta__cases__2__1: ( $i * $i ) > $i ).
tff(decl_38,type,
c_InductTermi_OIT: $i > $o ).
tff(decl_39,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
v_n____: $i ).
tff(decl_42,type,
v_i____: $i ).
tff(decl_43,type,
v_ua______: $i ).
tff(decl_44,type,
v_u____: $i ).
tff(decl_45,type,
v_e____: $i ).
tff(decl_46,type,
v_T____: $i ).
tff(decl_47,type,
tc_Type_Otype: $i ).
tff(decl_48,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
v_b____: $i ).
tff(decl_50,type,
v_Ua____: $i ).
tff(decl_51,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
cnf(cls_CHAINED_0_01,axiom,
( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X1,X2))
| ~ c_Type_Otyping(X3,X1,v_T____)
| ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_b____,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_CHAINED_0,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_CHAINED_0_03,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(cls_uIT_0,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uIT_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_5,axiom,
( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X1,X2))
| ~ c_Type_Otyping(X3,X1,v_T____)
| ~ c_InductTermi_OIT(X1)
| ~ c_Type_Otyping(c_Type_Oshift(X3,X2,v_T____,tc_Type_Otype),v_b____,X4) ),
cls_CHAINED_0_01 ).
cnf(c_0_6,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____),
cls_CHAINED_0 ).
cnf(c_0_7,plain,
( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X1,v_i____))
| ~ c_Type_Otyping(v_e____,X1,v_T____)
| ~ c_InductTermi_OIT(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
cls_CHAINED_0_03 ).
cnf(c_0_9,axiom,
c_InductTermi_OIT(v_u____),
cls_uIT_0 ).
cnf(c_0_10,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
cls_conjecture_0 ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.36 % Computer : n016.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 24 18:06:09 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.59 % Total time : 0.009000 s
% 0.21/0.59 % SZS output end Proof
% 0.21/0.59 % Total time : 0.013000 s
%------------------------------------------------------------------------------