TSTP Solution File: NUM380+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM380+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 10:37:09 EDT 2023
% Result : Theorem 5.33s 5.40s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 31
% Syntax : Number of formulae : 112 ( 17 unt; 27 typ; 0 def)
% Number of atoms : 264 ( 156 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 294 ( 115 ~; 150 |; 25 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 12 >; 10 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-5 aty)
% Number of variables : 221 ( 36 sgn; 39 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
function: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
one_to_one: $i > $o ).
tff(decl_27,type,
unordered_quadruple: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
element: ( $i * $i ) > $o ).
tff(decl_29,type,
empty_set: $i ).
tff(decl_30,type,
relation_empty_yielding: $i > $o ).
tff(decl_31,type,
relation_non_empty: $i > $o ).
tff(decl_32,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
esk2_1: $i > $i ).
tff(decl_34,type,
esk3_0: $i ).
tff(decl_35,type,
esk4_0: $i ).
tff(decl_36,type,
esk5_0: $i ).
tff(decl_37,type,
esk6_0: $i ).
tff(decl_38,type,
esk7_0: $i ).
tff(decl_39,type,
esk8_0: $i ).
tff(decl_40,type,
esk9_0: $i ).
tff(decl_41,type,
esk10_0: $i ).
tff(decl_42,type,
esk11_0: $i ).
tff(decl_43,type,
esk12_0: $i ).
tff(decl_44,type,
esk13_0: $i ).
tff(decl_45,type,
esk14_0: $i ).
tff(decl_46,type,
esk15_0: $i ).
tff(decl_47,type,
esk16_0: $i ).
tff(decl_48,type,
esk17_2: ( $i * $i ) > $i ).
fof(d2_enumset1,axiom,
! [X1,X2,X3,X4,X5] :
( X5 = unordered_quadruple(X1,X2,X3,X4)
<=> ! [X6] :
( in(X6,X5)
<=> ~ ( X6 != X1
& X6 != X2
& X6 != X3
& X6 != X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_enumset1) ).
fof(t7_tarski,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
~ ( in(X4,X2)
& in(X4,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(t4_ordinal1,conjecture,
! [X1,X2,X3,X4] :
~ ( in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_ordinal1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(c_0_4,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ in(X17,X16)
| X17 = X12
| X17 = X13
| X17 = X14
| X17 = X15
| X16 != unordered_quadruple(X12,X13,X14,X15) )
& ( X18 != X12
| in(X18,X16)
| X16 != unordered_quadruple(X12,X13,X14,X15) )
& ( X18 != X13
| in(X18,X16)
| X16 != unordered_quadruple(X12,X13,X14,X15) )
& ( X18 != X14
| in(X18,X16)
| X16 != unordered_quadruple(X12,X13,X14,X15) )
& ( X18 != X15
| in(X18,X16)
| X16 != unordered_quadruple(X12,X13,X14,X15) )
& ( esk1_5(X19,X20,X21,X22,X23) != X19
| ~ in(esk1_5(X19,X20,X21,X22,X23),X23)
| X23 = unordered_quadruple(X19,X20,X21,X22) )
& ( esk1_5(X19,X20,X21,X22,X23) != X20
| ~ in(esk1_5(X19,X20,X21,X22,X23),X23)
| X23 = unordered_quadruple(X19,X20,X21,X22) )
& ( esk1_5(X19,X20,X21,X22,X23) != X21
| ~ in(esk1_5(X19,X20,X21,X22,X23),X23)
| X23 = unordered_quadruple(X19,X20,X21,X22) )
& ( esk1_5(X19,X20,X21,X22,X23) != X22
| ~ in(esk1_5(X19,X20,X21,X22,X23),X23)
| X23 = unordered_quadruple(X19,X20,X21,X22) )
& ( in(esk1_5(X19,X20,X21,X22,X23),X23)
| esk1_5(X19,X20,X21,X22,X23) = X19
| esk1_5(X19,X20,X21,X22,X23) = X20
| esk1_5(X19,X20,X21,X22,X23) = X21
| esk1_5(X19,X20,X21,X22,X23) = X22
| X23 = unordered_quadruple(X19,X20,X21,X22) ) ),
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)],[d2_enumset1])])])])])]) ).
cnf(c_0_5,plain,
( X1 = X3
| X1 = X4
| X1 = X5
| X1 = X6
| ~ in(X1,X2)
| X2 != unordered_quadruple(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X48,X49,X51] :
( ( in(esk17_2(X48,X49),X49)
| ~ in(X48,X49) )
& ( ~ in(X51,X49)
| ~ in(X51,esk17_2(X48,X49))
| ~ in(X48,X49) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_tarski])])])])]) ).
cnf(c_0_7,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_quadruple(X4,X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| ~ in(X1,unordered_quadruple(X5,X4,X3,X2)) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( in(esk17_2(X1,X2),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(X1,X2)
| X2 != unordered_quadruple(X3,X4,X5,X1) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X5
| ~ in(X1,unordered_quadruple(X2,X3,X4,X5)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
in(X1,unordered_quadruple(X2,X3,X4,X1)),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_quadruple(X4,X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( in(X1,X2)
| X2 != unordered_quadruple(X3,X4,X1,X5) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_quadruple(X2,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ in(X1,X2)
| ~ in(X1,esk17_2(X3,X2))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_14])]) ).
cnf(c_0_19,plain,
in(X1,unordered_quadruple(X2,X3,X1,X4)),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( in(X1,X2)
| X2 != unordered_quadruple(X1,X3,X4,X5) ),
inference(er,[status(thm)],[c_0_16]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1,X2,X3,X4] :
~ ( in(X1,X2)
& in(X2,X3)
& in(X3,X4)
& in(X4,X1) ),
inference(assume_negation,[status(cth)],[t4_ordinal1]) ).
cnf(c_0_22,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_quadruple(X4,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X2
| ~ in(X4,unordered_quadruple(X2,X3,X1,X1))
| ~ in(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
in(X1,unordered_quadruple(X1,X2,X3,X4)),
inference(er,[status(thm)],[c_0_20]) ).
fof(c_0_25,negated_conjecture,
( in(esk13_0,esk14_0)
& in(esk14_0,esk15_0)
& in(esk15_0,esk16_0)
& in(esk16_0,esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_26,plain,
( in(X1,X2)
| X2 != unordered_quadruple(X3,X1,X4,X5) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X1,X1)) = X3
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
in(esk16_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( esk17_2(esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)),unordered_quadruple(X2,X3,X4,X5)) = X5
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)),unordered_quadruple(X2,X3,X4,X5)) = X4
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)),unordered_quadruple(X2,X3,X4,X5)) = X3
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)),unordered_quadruple(X2,X3,X4,X5)) = X2
| ~ in(X1,unordered_quadruple(X2,X3,X4,X5)) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_30,plain,
in(X1,unordered_quadruple(X2,X1,X3,X4)),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = esk16_0
| esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = X1 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( esk17_2(esk17_2(X1,unordered_quadruple(X2,X1,X3,X4)),unordered_quadruple(X2,X1,X3,X4)) = X2
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X1,X3,X4)),unordered_quadruple(X2,X1,X3,X4)) = X1
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X1,X3,X4)),unordered_quadruple(X2,X1,X3,X4)) = X3
| esk17_2(esk17_2(X1,unordered_quadruple(X2,X1,X3,X4)),unordered_quadruple(X2,X1,X3,X4)) = X4 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = esk16_0
| X1 != esk16_0 ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = X1
| esk16_0 != X1 ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( esk17_2(esk16_0,unordered_quadruple(esk16_0,esk13_0,esk13_0,esk13_0)) = esk13_0
| esk17_2(esk16_0,unordered_quadruple(esk16_0,esk13_0,esk13_0,esk13_0)) = esk16_0
| esk16_0 != esk13_0 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| ~ in(X5,unordered_quadruple(X2,X3,X4,X1))
| ~ in(X5,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_12])]) ).
cnf(c_0_37,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| ~ in(X5,unordered_quadruple(X2,X3,X4,X1))
| ~ in(X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_12])]) ).
cnf(c_0_38,negated_conjecture,
( X1 != esk16_0
| ~ in(X2,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0))
| ~ in(X2,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_33]),c_0_19])]) ).
cnf(c_0_39,negated_conjecture,
( esk16_0 != X1
| ~ in(X2,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0))
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_34]),c_0_19])]) ).
cnf(c_0_40,negated_conjecture,
( esk17_2(esk16_0,unordered_quadruple(esk16_0,esk13_0,esk13_0,esk13_0)) = esk13_0
| esk16_0 != esk13_0 ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| ~ in(X4,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_42,negated_conjecture,
in(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_44,negated_conjecture,
in(esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( X1 != esk16_0
| ~ in(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
( esk16_0 != X1
| ~ in(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_47,negated_conjecture,
( esk16_0 != esk13_0
| ~ in(X1,unordered_quadruple(esk16_0,esk13_0,esk13_0,esk13_0))
| ~ in(X1,esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_40]),c_0_24])]) ).
cnf(c_0_48,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| ~ in(X5,unordered_quadruple(X2,X3,X4,X1))
| ~ in(X5,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_12])]) ).
cnf(c_0_49,negated_conjecture,
( esk17_2(X1,unordered_quadruple(esk16_0,X2,esk15_0,X1)) = esk15_0
| esk17_2(X1,unordered_quadruple(esk16_0,X2,esk15_0,X1)) = X2
| esk17_2(X1,unordered_quadruple(esk16_0,X2,esk15_0,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(X1,esk14_0,X2,esk13_0)) = esk13_0
| esk17_2(esk13_0,unordered_quadruple(X1,esk14_0,X2,esk13_0)) = X1
| esk17_2(esk13_0,unordered_quadruple(X1,esk14_0,X2,esk13_0)) = X2 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
esk16_0 != esk15_0,
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_52,negated_conjecture,
esk16_0 != esk14_0,
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
esk16_0 != esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_24]),c_0_28])]) ).
cnf(c_0_54,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| ~ in(X5,unordered_quadruple(X2,X3,X4,X1))
| ~ in(X5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_12])]) ).
cnf(c_0_55,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| ~ in(X3,X4) ),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
cnf(c_0_56,negated_conjecture,
in(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_57,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,esk14_0,esk15_0,esk13_0)) = esk15_0
| esk17_2(esk13_0,unordered_quadruple(esk16_0,esk14_0,esk15_0,esk13_0)) = esk13_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_58,plain,
( esk17_2(X1,unordered_quadruple(X2,X2,X1,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X2,X1,X1)) = X2 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_18])]) ).
cnf(c_0_59,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_24]) ).
cnf(c_0_60,negated_conjecture,
( esk17_2(X1,unordered_quadruple(X2,esk14_0,esk15_0,X1)) = esk14_0
| esk17_2(X1,unordered_quadruple(X2,esk14_0,esk15_0,X1)) = X2
| esk17_2(X1,unordered_quadruple(X2,esk14_0,esk15_0,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,esk14_0,esk15_0,esk13_0)) = esk13_0
| esk15_0 != esk13_0 ),
inference(ef,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
esk17_2(X1,unordered_quadruple(X1,X1,X1,X1)) = X1,
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_58])]) ).
fof(c_0_63,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
cnf(c_0_64,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = X1
| ~ in(X2,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0))
| ~ in(X2,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_31]),c_0_19])]) ).
cnf(c_0_65,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,X2,esk13_0)) = esk16_0
| esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,X2,esk13_0)) = X1
| esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,X2,esk13_0)) = X2 ),
inference(spm,[status(thm)],[c_0_59,c_0_28]) ).
cnf(c_0_66,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,esk14_0,esk15_0,esk13_0)) = esk13_0
| esk15_0 = esk14_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_57]),c_0_51]),c_0_61]) ).
cnf(c_0_67,plain,
( ~ in(X1,unordered_quadruple(X2,X2,X2,X2))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_62]),c_0_24])]) ).
fof(c_0_68,plain,
! [X7,X8] :
( ~ in(X7,X8)
| ~ in(X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = X1
| ~ in(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_30]) ).
cnf(c_0_70,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = esk16_0
| ~ in(X2,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0))
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_31]),c_0_19])]) ).
cnf(c_0_71,plain,
( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
| esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_72,negated_conjecture,
( esk15_0 = esk14_0
| esk15_0 = esk13_0
| esk14_0 = esk13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_53]) ).
cnf(c_0_73,plain,
~ in(X1,X1),
inference(spm,[status(thm)],[c_0_67,c_0_12]) ).
cnf(c_0_74,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( ~ in(X1,unordered_quadruple(esk16_0,X2,esk13_0,esk13_0))
| ~ in(X2,esk16_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_69]),c_0_19])]) ).
cnf(c_0_76,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,X1,esk13_0,esk13_0)) = esk16_0
| ~ in(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_12]) ).
cnf(c_0_77,negated_conjecture,
( esk17_2(X1,unordered_quadruple(esk16_0,esk15_0,X2,X1)) = esk15_0
| esk17_2(X1,unordered_quadruple(esk16_0,esk15_0,X2,X1)) = X2
| esk17_2(X1,unordered_quadruple(esk16_0,esk15_0,X2,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_42]) ).
cnf(c_0_78,negated_conjecture,
( esk14_0 = esk13_0
| esk15_0 = esk13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_72]),c_0_73]) ).
cnf(c_0_79,negated_conjecture,
~ in(esk14_0,esk13_0),
inference(spm,[status(thm)],[c_0_74,c_0_44]) ).
cnf(c_0_80,negated_conjecture,
( ~ in(esk17_2(X1,unordered_quadruple(esk16_0,X2,esk13_0,esk13_0)),X2)
| ~ in(X1,unordered_quadruple(esk16_0,X2,esk13_0,esk13_0))
| ~ in(X2,esk16_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_9]) ).
cnf(c_0_81,negated_conjecture,
( esk17_2(esk13_0,unordered_quadruple(esk16_0,esk15_0,esk13_0,esk13_0)) = esk13_0
| ~ in(esk13_0,esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_51]) ).
cnf(c_0_82,negated_conjecture,
esk14_0 = esk13_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_78]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
~ in(esk13_0,esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_19]),c_0_42])]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_82]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM380+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 17:14:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 5.33/5.40 % Version : CSE_E---1.5
% 5.33/5.40 % Problem : theBenchmark.p
% 5.33/5.40 % Proof found
% 5.33/5.40 % SZS status Theorem for theBenchmark.p
% 5.33/5.40 % SZS output start Proof
% See solution above
% 5.33/5.41 % Total time : 4.817000 s
% 5.33/5.41 % SZS output end Proof
% 5.33/5.41 % Total time : 4.821000 s
%------------------------------------------------------------------------------