TSTP Solution File: SEU280+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 16:24:04 EDT 2023
% Result : Theorem 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 191 ( 59 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 227 ( 79 ~; 115 |; 28 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 7 >; 2 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 4 sgn; 14 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
ordinal: $i > $o ).
tff(decl_24,type,
epsilon_transitive: $i > $o ).
tff(decl_25,type,
epsilon_connected: $i > $o ).
tff(decl_26,type,
esk1_0: $i ).
tff(decl_27,type,
esk2_1: $i > $i ).
tff(decl_28,type,
esk3_0: $i ).
tff(decl_29,type,
esk4_0: $i ).
tff(decl_30,type,
esk5_0: $i ).
tff(decl_31,type,
esk6_0: $i ).
tff(decl_32,type,
esk7_1: $i > $i ).
tff(decl_33,type,
esk8_2: ( $i * $i ) > $i ).
fof(s1_tarski__e6_22__wellord2__1,axiom,
! [X1] :
( ! [X2,X3,X4] :
( ( X2 = X3
& ordinal(X3)
& X2 = X4
& ordinal(X4) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& X4 = X3
& ordinal(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
fof(s1_xboole_0__e6_22__wellord2,conjecture,
! [X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
fof(c_0_2,plain,
! [X16,X18,X20,X21] :
( ( in(esk8_2(X16,X18),X16)
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk5_0 )
& ( esk8_2(X16,X18) = X18
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk5_0 )
& ( ordinal(X18)
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk5_0 )
& ( ~ in(X21,X16)
| X21 != X20
| ~ ordinal(X20)
| in(X20,esk7_1(X16))
| esk4_0 = esk5_0 )
& ( in(esk8_2(X16,X18),X16)
| ~ in(X18,esk7_1(X16))
| ordinal(esk5_0) )
& ( esk8_2(X16,X18) = X18
| ~ in(X18,esk7_1(X16))
| ordinal(esk5_0) )
& ( ordinal(X18)
| ~ in(X18,esk7_1(X16))
| ordinal(esk5_0) )
& ( ~ in(X21,X16)
| X21 != X20
| ~ ordinal(X20)
| in(X20,esk7_1(X16))
| ordinal(esk5_0) )
& ( in(esk8_2(X16,X18),X16)
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk6_0 )
& ( esk8_2(X16,X18) = X18
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk6_0 )
& ( ordinal(X18)
| ~ in(X18,esk7_1(X16))
| esk4_0 = esk6_0 )
& ( ~ in(X21,X16)
| X21 != X20
| ~ ordinal(X20)
| in(X20,esk7_1(X16))
| esk4_0 = esk6_0 )
& ( in(esk8_2(X16,X18),X16)
| ~ in(X18,esk7_1(X16))
| ordinal(esk6_0) )
& ( esk8_2(X16,X18) = X18
| ~ in(X18,esk7_1(X16))
| ordinal(esk6_0) )
& ( ordinal(X18)
| ~ in(X18,esk7_1(X16))
| ordinal(esk6_0) )
& ( ~ in(X21,X16)
| X21 != X20
| ~ ordinal(X20)
| in(X20,esk7_1(X16))
| ordinal(esk6_0) )
& ( in(esk8_2(X16,X18),X16)
| ~ in(X18,esk7_1(X16))
| esk5_0 != esk6_0 )
& ( esk8_2(X16,X18) = X18
| ~ in(X18,esk7_1(X16))
| esk5_0 != esk6_0 )
& ( ordinal(X18)
| ~ in(X18,esk7_1(X16))
| esk5_0 != esk6_0 )
& ( ~ in(X21,X16)
| X21 != X20
| ~ ordinal(X20)
| in(X20,esk7_1(X16))
| esk5_0 != esk6_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e6_22__wellord2__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_22__wellord2]) ).
cnf(c_0_4,plain,
( in(X3,esk7_1(X2))
| esk4_0 = esk5_0
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X6] :
( ( ~ in(esk2_1(X6),X6)
| ~ in(esk2_1(X6),esk1_0)
| ~ ordinal(esk2_1(X6)) )
& ( in(esk2_1(X6),esk1_0)
| in(esk2_1(X6),X6) )
& ( ordinal(esk2_1(X6))
| in(esk2_1(X6),X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( esk4_0 = esk5_0
| in(X1,esk7_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ordinal(esk2_1(X1))
| in(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( esk4_0 = esk5_0
| in(esk2_1(X1),esk7_1(X2))
| in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| in(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk4_0 = esk5_0
| in(esk2_1(X1),esk7_1(esk1_0))
| in(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
( esk8_2(X1,X2) = X2
| esk4_0 = esk5_0
| ~ in(X2,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( esk4_0 = esk5_0
| in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0)) ),
inference(ef,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( in(esk8_2(X1,X2),X1)
| esk4_0 = esk5_0
| ~ in(X2,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( esk8_2(esk1_0,esk2_1(esk7_1(esk1_0))) = esk2_1(esk7_1(esk1_0))
| esk4_0 = esk5_0 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ordinal(X1)
| esk4_0 = esk5_0
| ~ in(X1,esk7_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( in(X3,esk7_1(X2))
| esk4_0 = esk6_0
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( ~ in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),esk1_0)
| ~ ordinal(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( esk4_0 = esk5_0
| in(esk2_1(esk7_1(esk1_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( esk4_0 = esk5_0
| ordinal(esk2_1(esk7_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,plain,
( in(X3,esk7_1(X2))
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3)
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,plain,
( esk4_0 = esk6_0
| in(X1,esk7_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
esk4_0 = esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_19]) ).
cnf(c_0_23,plain,
( in(X1,esk7_1(X2))
| esk6_0 != esk5_0
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( in(X1,esk7_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( in(esk2_1(X1),esk7_1(X2))
| in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_7]) ).
cnf(c_0_26,plain,
( esk8_2(X1,X2) = X2
| esk4_0 = esk6_0
| ~ in(X2,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,plain,
( esk8_2(X1,X2) = X2
| ~ in(X2,esk7_1(X1))
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( in(esk2_1(X1),esk7_1(esk1_0))
| in(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_9]) ).
cnf(c_0_29,plain,
( esk8_2(X1,X2) = X2
| ~ in(X2,esk7_1(X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22]),c_0_27]) ).
cnf(c_0_30,negated_conjecture,
in(esk2_1(esk7_1(esk1_0)),esk7_1(esk1_0)),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_31,plain,
( ordinal(X1)
| esk4_0 = esk6_0
| ~ in(X1,esk7_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,plain,
( ordinal(X1)
| ~ in(X1,esk7_1(X2))
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,plain,
( in(esk8_2(X1,X2),X1)
| ~ in(X2,esk7_1(X1))
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
esk8_2(esk1_0,esk2_1(esk7_1(esk1_0))) = esk2_1(esk7_1(esk1_0)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ordinal(X1)
| ~ in(X1,esk7_1(X2)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_22]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( in(esk2_1(esk7_1(esk1_0)),esk1_0)
| esk6_0 != esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).
cnf(c_0_37,negated_conjecture,
ordinal(esk2_1(esk7_1(esk1_0))),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_38,plain,
( in(esk8_2(X1,X2),X1)
| esk4_0 = esk6_0
| ~ in(X2,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
esk6_0 != esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_36]),c_0_37]),c_0_30])]) ).
cnf(c_0_40,plain,
( in(esk8_2(X1,X2),X1)
| ~ in(X2,esk7_1(X1)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_22]),c_0_39]) ).
cnf(c_0_41,negated_conjecture,
in(esk2_1(esk7_1(esk1_0)),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_30])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_41]),c_0_37]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 20:17:31 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.64 % Version : CSE_E---1.5
% 0.21/0.64 % Problem : theBenchmark.p
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark.p
% 0.21/0.64 % SZS output start Proof
% See solution above
% 0.21/0.65 % Total time : 0.064000 s
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time : 0.067000 s
%------------------------------------------------------------------------------