TSTP Solution File: SEU203+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU203+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 : n013.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 16:23:18 EDT 2023
% Result : Theorem 13.93s 13.99s
% Output : CNFRefutation 13.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 35
% Syntax : Number of formulae : 103 ( 13 unt; 25 typ; 0 def)
% Number of atoms : 279 ( 42 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 364 ( 163 ~; 167 |; 20 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 16 >; 16 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-4 aty)
% Number of variables : 158 ( 9 sgn; 54 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
relation: $i > $o ).
tff(decl_25,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_26,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_27,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_28,type,
relation_dom: $i > $i ).
tff(decl_29,type,
singleton: $i > $i ).
tff(decl_30,type,
element: ( $i * $i ) > $o ).
tff(decl_31,type,
empty_set: $i ).
tff(decl_32,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk7_1: $i > $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 ).
fof(t143_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(d13_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_dom(X1))
& relation(relation_dom(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(c_0_10,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t143_relat_1]) ).
fof(c_0_11,negated_conjecture,
! [X51] :
( relation(esk14_0)
& ( ~ in(esk12_0,relation_image(esk14_0,esk13_0))
| ~ in(X51,relation_dom(esk14_0))
| ~ in(ordered_pair(X51,esk12_0),esk14_0)
| ~ in(X51,esk13_0) )
& ( in(esk15_0,relation_dom(esk14_0))
| in(esk12_0,relation_image(esk14_0,esk13_0)) )
& ( in(ordered_pair(esk15_0,esk12_0),esk14_0)
| in(esk12_0,relation_image(esk14_0,esk13_0)) )
& ( in(esk15_0,esk13_0)
| in(esk12_0,relation_image(esk14_0,esk13_0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_12,plain,
! [X33,X34] : ordered_pair(X33,X34) = unordered_pair(unordered_pair(X33,X34),singleton(X33)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_13,plain,
! [X11,X12,X13,X14,X16,X17,X18,X19,X21] :
( ( in(ordered_pair(esk1_4(X11,X12,X13,X14),X14),X11)
| ~ in(X14,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11) )
& ( in(esk1_4(X11,X12,X13,X14),X12)
| ~ in(X14,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11) )
& ( ~ in(ordered_pair(X17,X16),X11)
| ~ in(X17,X12)
| in(X16,X13)
| X13 != relation_image(X11,X12)
| ~ relation(X11) )
& ( ~ in(esk2_3(X11,X18,X19),X19)
| ~ in(ordered_pair(X21,esk2_3(X11,X18,X19)),X11)
| ~ in(X21,X18)
| X19 = relation_image(X11,X18)
| ~ relation(X11) )
& ( in(ordered_pair(esk3_3(X11,X18,X19),esk2_3(X11,X18,X19)),X11)
| in(esk2_3(X11,X18,X19),X19)
| X19 = relation_image(X11,X18)
| ~ relation(X11) )
& ( in(esk3_3(X11,X18,X19),X18)
| in(esk2_3(X11,X18,X19),X19)
| X19 = relation_image(X11,X18)
| ~ relation(X11) ) ),
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)],[d13_relat_1])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ in(esk12_0,relation_image(esk14_0,esk13_0))
| ~ in(X1,relation_dom(esk14_0))
| ~ in(ordered_pair(X1,esk12_0),esk14_0)
| ~ in(X1,esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X9,X10] : unordered_pair(X9,X10) = unordered_pair(X10,X9),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_17,plain,
! [X23,X24,X25,X27,X28,X29,X31] :
( ( ~ in(X25,X24)
| in(ordered_pair(X25,esk4_3(X23,X24,X25)),X23)
| X24 != relation_dom(X23)
| ~ relation(X23) )
& ( ~ in(ordered_pair(X27,X28),X23)
| in(X27,X24)
| X24 != relation_dom(X23)
| ~ relation(X23) )
& ( ~ in(esk5_2(X23,X29),X29)
| ~ in(ordered_pair(esk5_2(X23,X29),X31),X23)
| X29 = relation_dom(X23)
| ~ relation(X23) )
& ( in(esk5_2(X23,X29),X29)
| in(ordered_pair(esk5_2(X23,X29),esk6_2(X23,X29)),X23)
| X29 = relation_dom(X23)
| ~ relation(X23) ) ),
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)],[d4_relat_1])])])])])]) ).
cnf(c_0_18,plain,
( in(ordered_pair(esk1_4(X1,X2,X3,X4),X4),X1)
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( ~ in(X1,esk13_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(esk12_0,relation_image(esk14_0,esk13_0))
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk14_0) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X58,X59] :
( ~ in(X58,X59)
| ~ empty(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_23,plain,
( in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
inference(rw,[status(thm)],[c_0_18,c_0_15]) ).
fof(c_0_24,plain,
! [X8] :
( ~ empty(X8)
| relation(X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(esk12_0,relation_image(esk14_0,esk13_0))
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| in(esk12_0,relation_image(esk14_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,plain,
( in(X1,X4)
| X4 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( in(esk15_0,esk13_0)
| in(esk12_0,relation_image(esk14_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( in(unordered_pair(singleton(esk1_4(X1,X2,X3,X4)),unordered_pair(X4,esk1_4(X1,X2,X3,X4))),X1)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20]),c_0_20]) ).
cnf(c_0_31,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3) ),
inference(rw,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_34,negated_conjecture,
( in(esk15_0,esk13_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( in(ordered_pair(esk15_0,esk12_0),esk14_0)
| in(esk12_0,relation_image(esk14_0,esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,plain,
( X1 != relation_image(X2,X3)
| ~ empty(X2)
| ~ in(X4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk12_0,X1)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_38,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X4,X1)),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_40,negated_conjecture,
( in(esk15_0,esk13_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk12_0,X1)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( in(esk12_0,relation_image(esk14_0,esk13_0))
| in(unordered_pair(unordered_pair(esk15_0,esk12_0),singleton(esk15_0)),esk14_0) ),
inference(rw,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_42,plain,
( ~ empty(X1)
| ~ in(X2,relation_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_36]) ).
fof(c_0_43,plain,
! [X43] :
( ( empty(relation_dom(X43))
| ~ empty(X43) )
& ( relation(relation_dom(X43))
| ~ empty(X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
cnf(c_0_44,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),relation_dom(esk14_0))
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_38])]) ).
cnf(c_0_45,plain,
( in(esk1_4(X1,X2,X3,X4),X5)
| X3 != relation_image(X1,X2)
| X5 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
( in(esk15_0,esk13_0)
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),relation_dom(esk14_0))
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_38])]) ).
cnf(c_0_47,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| in(esk12_0,relation_image(esk14_0,esk13_0)) ),
inference(rw,[status(thm)],[c_0_41,c_0_20]) ).
fof(c_0_48,plain,
! [X55,X56] :
( ~ element(X55,X56)
| empty(X56)
| in(X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_49,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| ~ empty(esk14_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_50,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38])]) ).
cnf(c_0_52,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( in(esk15_0,esk13_0)
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_38])]) ).
cnf(c_0_54,plain,
( in(X2,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X1,X4)
| X5 != relation_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_55,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_56,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
~ empty(esk14_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_49]),c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( in(esk15_0,relation_dom(esk14_0))
| X1 != relation_image(esk14_0,esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_38])]) ).
cnf(c_0_59,negated_conjecture,
( in(esk15_0,esk13_0)
| X1 != relation_image(esk14_0,esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_38])]) ).
cnf(c_0_60,plain,
( in(X2,X5)
| X5 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X1,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_61,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ element(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_62,negated_conjecture,
in(esk15_0,relation_dom(esk14_0)),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_58]),c_0_26]) ).
cnf(c_0_63,negated_conjecture,
in(esk15_0,esk13_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_28]) ).
cnf(c_0_64,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk12_0,X1)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_65,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X1)),X3)
| ~ in(X5,X4) ),
inference(rw,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_66,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_67,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),relation_dom(esk14_0))
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_30]),c_0_38])]) ).
cnf(c_0_68,negated_conjecture,
( in(esk12_0,X1)
| X1 != relation_image(esk14_0,X2)
| ~ element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ in(esk15_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_38])]) ).
cnf(c_0_69,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| X1 != relation_image(esk14_0,X2)
| ~ in(esk1_4(esk14_0,X2,X1,esk12_0),esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_45]),c_0_38])]) ).
cnf(c_0_70,negated_conjecture,
( in(esk12_0,relation_image(esk14_0,X1))
| ~ element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ in(esk15_0,X1) ),
inference(er,[status(thm)],[c_0_68]) ).
fof(c_0_71,plain,
! [X53,X54] :
( ~ in(X53,X54)
| element(X53,X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_72,negated_conjecture,
( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| X1 != relation_image(esk14_0,esk13_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_52]),c_0_38])]) ).
cnf(c_0_73,negated_conjecture,
( ~ element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk12_0)),esk14_0)
| ~ in(X1,relation_dom(esk14_0))
| ~ in(X1,esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_70]),c_0_63])]) ).
cnf(c_0_74,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_75,negated_conjecture,
in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_47]) ).
cnf(c_0_76,negated_conjecture,
~ element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk12_0)),esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_66]),c_0_62]),c_0_63])]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU203+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
% 0.13/0.34 % Computer : n013.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 : Wed Aug 23 12:29:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 start to proof: theBenchmark
% 13.93/13.99 % Version : CSE_E---1.5
% 13.93/13.99 % Problem : theBenchmark.p
% 13.93/13.99 % Proof found
% 13.93/13.99 % SZS status Theorem for theBenchmark.p
% 13.93/13.99 % SZS output start Proof
% See solution above
% 13.99/14.00 % Total time : 13.377000 s
% 13.99/14.00 % SZS output end Proof
% 13.99/14.00 % Total time : 13.381000 s
%------------------------------------------------------------------------------