TSTP Solution File: SEU424+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 16:26:13 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 32
% Syntax : Number of formulae : 42 ( 5 unt; 30 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 13 ~; 6 |; 7 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 22 >; 25 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-5 aty)
% Number of variables : 24 ( 0 sgn; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v1_xboole_0: $i > $o ).
tff(decl_23,type,
k1_zfmisc_1: $i > $i ).
tff(decl_24,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_25,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
a_4_0_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_28,type,
v1_relat_1: $i > $o ).
tff(decl_29,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_30,type,
k2_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
k1_tarski: $i > $i ).
tff(decl_32,type,
k10_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
k1_xboole_0: $i ).
tff(decl_35,type,
v3_relat_1: $i > $o ).
tff(decl_36,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_37,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_38,type,
esk1_0: $i ).
tff(decl_39,type,
esk2_0: $i ).
tff(decl_40,type,
esk3_0: $i ).
tff(decl_41,type,
esk4_0: $i ).
tff(decl_42,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk6_1: $i > $i ).
tff(decl_44,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk8_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk9_0: $i ).
tff(decl_47,type,
esk10_1: $i > $i ).
tff(decl_48,type,
esk11_0: $i ).
tff(decl_49,type,
esk12_1: $i > $i ).
tff(decl_50,type,
esk13_0: $i ).
tff(decl_51,type,
esk14_2: ( $i * $i ) > $i ).
fof(t18_relset_2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
fof(s8_domain_1__e1_22__relset_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_relset_2])]) ).
fof(c_0_3,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[s8_domain_1__e1_22__relset_2]) ).
fof(c_0_4,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m2_relset_1(esk4_0,esk1_0,esk2_0)
& ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5,plain,
! [X68,X69,X70,X71] :
( v1_xboole_0(X68)
| ~ m1_subset_1(X70,k1_zfmisc_1(X68))
| ~ m2_relset_1(X71,X68,X69)
| m1_subset_1(a_4_0_relset_2(X68,X69,X70,X71),k1_zfmisc_1(k1_zfmisc_1(X69))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_6,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( v1_xboole_0(X1)
| m1_subset_1(a_4_0_relset_2(X1,X4,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 01:31:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.012000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.015000 s
%------------------------------------------------------------------------------