TSTP Solution File: ITP010+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ITP010+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 : 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 03:10:23 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 31
% Syntax : Number of formulae : 35 ( 4 unt; 30 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 16 >; 15 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-4 aty)
% Number of variables : 8 ( 4 sgn; 8 !; 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,
c_2Ecardinal_2Ecardleq_2E2: ( $i * $i ) > $i ).
tff(decl_47,type,
c_2Ecardinal_2Ecardleq_2E0: $i ).
tff(decl_48,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk3_2: ( $i * $i ) > $i ).
fof(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X1,X2,X15,X16] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X16))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X16)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c_0_1,negated_conjecture,
~ ! [X1,X2,X15,X16] : $true,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE])]) ).
fof(c_0_2,negated_conjecture,
~ $true,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
cnf(c_0_3,negated_conjecture,
$false,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n003.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 16:27:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.011000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.015000 s
%------------------------------------------------------------------------------