TSTP Solution File: ITP018+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 03:10:47 EDT 2023
% Result : Theorem 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 47
% Syntax : Number of formulae : 55 ( 11 unt; 44 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 22 >; 14 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 22 con; 0-4 aty)
% Number of variables : 19 ( 0 sgn; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tyop_2Emin_2Efun: ( $i * $i ) > $i ).
tff(decl_23,type,
s: ( $i * $i ) > $i ).
tff(decl_24,type,
app_2E2: ( $i * $i ) > $i ).
tff(decl_25,type,
tyop_2Emin_2Ebool: $i ).
tff(decl_26,type,
p: $i > $o ).
tff(decl_27,type,
c_2Ebool_2ET_2E0: $i ).
tff(decl_28,type,
c_2Ebool_2EF_2E0: $i ).
tff(decl_29,type,
combin_i_2E0: $i ).
tff(decl_30,type,
combin_k_2E0: $i ).
tff(decl_31,type,
combin_s_2E0: $i ).
tff(decl_32,type,
c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).
tff(decl_33,type,
c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).
tff(decl_34,type,
c_2Ebool_2E_7E_2E1: $i > $i ).
tff(decl_35,type,
c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).
tff(decl_36,type,
c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).
tff(decl_37,type,
c_2Ebool_2E_21_2E1: $i > $i ).
tff(decl_38,type,
c_2Ebool_2E_3F_2E1: $i > $i ).
tff(decl_39,type,
c_2Ebool_2E_2F_5C_2E0: $i ).
tff(decl_40,type,
c_2Ebool_2E_5C_2F_2E0: $i ).
tff(decl_41,type,
c_2Ebool_2E_7E_2E0: $i ).
tff(decl_42,type,
c_2Emin_2E_3D_3D_3E_2E0: $i ).
tff(decl_43,type,
c_2Emin_2E_3D_2E0: $i ).
tff(decl_44,type,
c_2Ebool_2E_21_2E0: $i ).
tff(decl_45,type,
c_2Ebool_2E_3F_2E0: $i ).
tff(decl_46,type,
tyop_2Ebinary__ieee_2Efloat: ( $i * $i ) > $i ).
tff(decl_47,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: $i > $i ).
tff(decl_48,type,
c_2Ebinary__ieee_2Efloat__negate_2E0: $i ).
tff(decl_49,type,
tyop_2Erealax_2Ereal: $i ).
tff(decl_50,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: $i > $i ).
tff(decl_51,type,
c_2Ebinary__ieee_2Efloat__to__real_2E0: $i ).
tff(decl_52,type,
tyop_2Epair_2Eprod: ( $i * $i ) > $i ).
tff(decl_53,type,
tyop_2Ebool_2Eitself: $i > $i ).
tff(decl_54,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: $i > $i ).
tff(decl_55,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E0: $i ).
tff(decl_56,type,
c_2Erealax_2Ereal__neg_2E1: $i > $i ).
tff(decl_57,type,
c_2Erealax_2Ereal__neg_2E0: $i ).
tff(decl_58,type,
c_2Ebinary__ieee_2Eulp_2E1: $i > $i ).
tff(decl_59,type,
c_2Ebinary__ieee_2Eulp_2E0: $i ).
tff(decl_60,type,
c_2Ebool_2Ethe__value_2E0: $i ).
tff(decl_61,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk4_0: $i ).
tff(decl_65,type,
esk5_0: $i ).
fof(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X1,X2,X9] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X9))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(thm_2Ebinary__ieee_2Eulp,axiom,
! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
fof(c_0_3,negated_conjecture,
~ ! [X15,X16] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X15,X16),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X15,X16)),c_2Ebool_2Ethe__value_2E0))))))),
inference(assume_negation,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).
fof(c_0_4,negated_conjecture,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk4_0,esk5_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk4_0,esk5_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk4_0,esk5_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk4_0,esk5_0)),c_2Ebool_2Ethe__value_2E0))))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X92,X93,X94] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X92,X93),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X92,X93),X94))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X92,X93),X94))))),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
fof(c_0_6,plain,
! [X95,X96] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X95,X96)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X95,X96),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X95,X96)),c_2Ebool_2Ethe__value_2E0))))),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Eulp]) ).
cnf(c_0_7,negated_conjecture,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk4_0,esk5_0)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk4_0,esk5_0),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(esk4_0,esk5_0),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(esk4_0,esk5_0)),c_2Ebool_2Ethe__value_2E0))))))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),X3))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X1,X2),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X1,X2)),c_2Ebool_2Ethe__value_2E0))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.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 : 300
% 0.14/0.35 % DateTime : Sun Aug 27 16:21:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.010000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.014000 s
%------------------------------------------------------------------------------