TSTP Solution File: SEU444+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU444+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 : 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 16:26:53 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 30
% Syntax : Number of formulae : 41 ( 2 unt; 28 typ; 0 def)
% Number of atoms : 33 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 18 ~; 12 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 21 >; 16 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-4 aty)
% Number of variables : 26 ( 0 sgn; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
k1_funct_5: $i > $i ).
tff(decl_24,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
k10_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
k2_funct_5: $i > $i ).
tff(decl_27,type,
v1_relat_1: $i > $o ).
tff(decl_28,type,
v3_relat_1: $i > $o ).
tff(decl_29,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_30,type,
k1_xboole_0: $i ).
tff(decl_31,type,
v1_xboole_0: $i > $o ).
tff(decl_32,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_33,type,
k1_zfmisc_1: $i > $i ).
tff(decl_34,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_35,type,
k4_relat_1: $i > $i ).
tff(decl_36,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_37,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_39,type,
esk1_0: $i ).
tff(decl_40,type,
esk2_0: $i ).
tff(decl_41,type,
esk3_0: $i ).
tff(decl_42,type,
esk4_0: $i ).
tff(decl_43,type,
esk5_0: $i ).
tff(decl_44,type,
esk6_1: $i > $i ).
tff(decl_45,type,
esk7_0: $i ).
tff(decl_46,type,
esk8_1: $i > $i ).
tff(decl_47,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk10_1: $i > $i ).
tff(decl_49,type,
esk11_2: ( $i * $i ) > $i ).
fof(t56_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k10_relset_1(X2,X1,X3,X2)) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k2_funct_5(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k10_relset_1(X2,X1,X3,X2)) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),k2_funct_5(X3)) ) ),
inference(assume_negation,[status(cth)],[t56_relset_2]) ).
fof(c_0_3,negated_conjecture,
( m2_relset_1(esk3_0,esk2_0,esk1_0)
& ( k1_funct_5(esk3_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(esk2_0,esk1_0,esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k2_funct_5(esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,plain,
! [X78,X79,X80] :
( ( k1_funct_5(X80) = k10_relset_1(X78,X79,k6_relset_1(X79,X78,X80),X78)
| ~ m2_relset_1(X80,X79,X78) )
& ( k2_funct_5(X80) = k10_relset_1(X79,X78,X80,X79)
| ~ m2_relset_1(X80,X79,X78) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
cnf(c_0_5,negated_conjecture,
( k1_funct_5(esk3_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(esk2_0,esk1_0,esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k2_funct_5(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k2_funct_5(esk3_0)) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(esk2_0,esk1_0,esk3_0,esk2_0))
| k10_relset_1(X1,X2,k6_relset_1(X2,X1,esk3_0),X1) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m2_relset_1(esk3_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(X1,X2,esk3_0,X1)) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(esk2_0,esk1_0,esk3_0,esk2_0))
| k10_relset_1(X3,X4,k6_relset_1(X4,X3,esk3_0),X3) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m2_relset_1(esk3_0,X4,X3)
| ~ m2_relset_1(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
m2_relset_1(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(X1,X2,esk3_0,X1)) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),k10_relset_1(esk2_0,esk1_0,esk3_0,esk2_0))
| ~ m2_relset_1(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_11]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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 : Thu Aug 24 00:22:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.72 % Version : CSE_E---1.5
% 0.20/0.72 % Problem : theBenchmark.p
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark.p
% 0.20/0.72 % SZS output start Proof
% See solution above
% 0.20/0.72 % Total time : 0.163000 s
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time : 0.166000 s
%------------------------------------------------------------------------------