TSTP Solution File: SEU228+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU228+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 : n031.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 16:23:34 EDT 2023
% Result : Theorem 196.35s 196.32s
% Output : CNFRefutation 196.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 94 ( 6 unt; 36 typ; 0 def)
% Number of atoms : 355 ( 86 equ)
% Maximal formula atoms : 44 ( 6 avg)
% Number of connectives : 522 ( 225 ~; 245 |; 35 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 25 >; 20 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 11 con; 0-4 aty)
% Number of variables : 186 ( 5 sgn; 54 !; 2 ?; 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,
subset: ( $i * $i ) > $o ).
tff(decl_28,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_29,type,
relation_dom: $i > $i ).
tff(decl_30,type,
apply: ( $i * $i ) > $i ).
tff(decl_31,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_32,type,
relation_rng: $i > $i ).
tff(decl_33,type,
element: ( $i * $i ) > $o ).
tff(decl_34,type,
empty_set: $i ).
tff(decl_35,type,
relation_empty_yielding: $i > $o ).
tff(decl_36,type,
powerset: $i > $i ).
tff(decl_37,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk9_1: $i > $i ).
tff(decl_46,type,
esk10_0: $i ).
tff(decl_47,type,
esk11_0: $i ).
tff(decl_48,type,
esk12_1: $i > $i ).
tff(decl_49,type,
esk13_0: $i ).
tff(decl_50,type,
esk14_0: $i ).
tff(decl_51,type,
esk15_0: $i ).
tff(decl_52,type,
esk16_1: $i > $i ).
tff(decl_53,type,
esk17_0: $i ).
tff(decl_54,type,
esk18_0: $i ).
tff(decl_55,type,
esk19_0: $i ).
tff(decl_56,type,
esk20_0: $i ).
tff(decl_57,type,
esk21_0: $i ).
fof(d12_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,relation_dom(X1))
& in(X5,X2)
& X4 = apply(X1,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(t147_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t145_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> subset(relation_image(X2,relation_inverse_image(X2,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_funct_1) ).
fof(c_0_7,plain,
! [X13,X14,X15,X16,X18,X19,X20,X21,X23] :
( ( in(esk1_4(X13,X14,X15,X16),relation_dom(X13))
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk1_4(X13,X14,X15,X16),X14)
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( X16 = apply(X13,esk1_4(X13,X14,X15,X16))
| ~ in(X16,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( ~ in(X19,relation_dom(X13))
| ~ in(X19,X14)
| X18 != apply(X13,X19)
| in(X18,X15)
| X15 != relation_image(X13,X14)
| ~ relation(X13)
| ~ function(X13) )
& ( ~ in(esk2_3(X13,X20,X21),X21)
| ~ in(X23,relation_dom(X13))
| ~ in(X23,X20)
| esk2_3(X13,X20,X21) != apply(X13,X23)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk3_3(X13,X20,X21),relation_dom(X13))
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( in(esk3_3(X13,X20,X21),X20)
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) )
& ( esk2_3(X13,X20,X21) = apply(X13,esk3_3(X13,X20,X21))
| in(esk2_3(X13,X20,X21),X21)
| X21 = relation_image(X13,X20)
| ~ relation(X13)
| ~ function(X13) ) ),
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)],[d12_funct_1])])])])])]) ).
fof(c_0_8,plain,
! [X39,X40,X41,X43,X44,X45,X47] :
( ( in(esk6_3(X39,X40,X41),relation_dom(X39))
| ~ in(X41,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( X41 = apply(X39,esk6_3(X39,X40,X41))
| ~ in(X41,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( ~ in(X44,relation_dom(X39))
| X43 != apply(X39,X44)
| in(X43,X40)
| X40 != relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( ~ in(esk7_2(X39,X45),X45)
| ~ in(X47,relation_dom(X39))
| esk7_2(X39,X45) != apply(X39,X47)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( in(esk8_2(X39,X45),relation_dom(X39))
| in(esk7_2(X39,X45),X45)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) )
& ( esk7_2(X39,X45) = apply(X39,esk8_2(X39,X45))
| in(esk7_2(X39,X45),X45)
| X45 = relation_rng(X39)
| ~ relation(X39)
| ~ function(X39) ) ),
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)],[d5_funct_1])])])])])]) ).
cnf(c_0_9,plain,
( in(X4,X5)
| ~ in(X1,relation_dom(X2))
| ~ in(X1,X3)
| X4 != apply(X2,X1)
| X5 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( in(esk6_3(X1,X2,X3),relation_dom(X1))
| ~ in(X3,X2)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( in(X1,X2)
| X1 != apply(X3,esk6_3(X3,X4,X5))
| X2 != relation_image(X3,X6)
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk6_3(X3,X4,X5),X6)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( X1 = apply(X2,esk6_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
inference(assume_negation,[status(cth)],[t147_funct_1]) ).
cnf(c_0_14,plain,
( in(X3,X4)
| ~ in(X1,relation_dom(X2))
| X3 != apply(X2,X1)
| X4 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X5 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk6_3(X3,X5,X1),X4)
| ~ in(X1,X5) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12])]) ).
fof(c_0_17,plain,
! [X33,X34,X35,X36,X37] :
( ( ~ subset(X33,X34)
| ~ in(X35,X33)
| in(X35,X34) )
& ( in(esk5_2(X36,X37),X36)
| subset(X36,X37) )
& ( ~ in(esk5_2(X36,X37),X37)
| subset(X36,X37) ) ),
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)],[d3_tarski])])])])])]) ).
fof(c_0_18,negated_conjecture,
( relation(esk21_0)
& function(esk21_0)
& subset(esk20_0,relation_rng(esk21_0))
& relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( in(X1,X2)
| X1 != apply(X3,esk1_4(X3,X4,X5,X6))
| X5 != relation_image(X3,X4)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X6,X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( X1 = apply(X2,esk1_4(X2,X3,X4,X1))
| ~ in(X1,X4)
| X4 != relation_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( in(X1,X2)
| X2 != relation_image(X3,relation_dom(X3))
| X4 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_22,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
subset(esk20_0,relation_rng(esk21_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( in(X1,X2)
| X3 != relation_image(X4,X5)
| X2 != relation_rng(X4)
| ~ relation(X4)
| ~ function(X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_25,plain,
( in(X1,relation_image(X2,relation_dom(X2)))
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( in(X1,relation_rng(esk21_0))
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X25,X26,X27,X28,X29,X30,X31] :
( ( in(X28,relation_dom(X25))
| ~ in(X28,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( in(apply(X25,X28),X26)
| ~ in(X28,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(X29,relation_dom(X25))
| ~ in(apply(X25,X29),X26)
| in(X29,X27)
| X27 != relation_inverse_image(X25,X26)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(esk4_3(X25,X30,X31),X31)
| ~ in(esk4_3(X25,X30,X31),relation_dom(X25))
| ~ in(apply(X25,esk4_3(X25,X30,X31)),X30)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) )
& ( in(esk4_3(X25,X30,X31),relation_dom(X25))
| in(esk4_3(X25,X30,X31),X31)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) )
& ( in(apply(X25,esk4_3(X25,X30,X31)),X30)
| in(esk4_3(X25,X30,X31),X31)
| X31 = relation_inverse_image(X25,X30)
| ~ relation(X25)
| ~ function(X25) ) ),
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_funct_1])])])])])]) ).
cnf(c_0_28,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_image(X3,X4)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( in(X1,relation_image(X2,relation_dom(X2)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( in(X1,X4)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( in(X1,X2)
| relation_rng(esk21_0) != relation_rng(X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( in(esk5_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_33,plain,
( in(X1,X2)
| X1 != apply(X3,esk1_4(X3,X4,X5,X6))
| X2 != relation_image(X3,X7)
| X5 != relation_image(X3,X4)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk1_4(X3,X4,X5,X6),X7)
| ~ in(X6,X5) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_34,plain,
( in(esk1_4(X1,X2,X3,X4),X5)
| X5 != relation_inverse_image(X1,X6)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,X6)
| ~ in(X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),X2)
| relation_rng(esk21_0) != relation_rng(X3)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X5 != relation_image(X3,X6)
| ~ relation(X3)
| ~ function(X3)
| ~ in(esk1_4(X3,X6,X5,X1),X4)
| ~ in(X1,X5) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20])]) ).
cnf(c_0_37,plain,
( in(esk1_4(X1,X2,X3,X4),relation_inverse_image(X1,X5))
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X4,X5)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_rng(X2))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
relation(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40,negated_conjecture,
function(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( in(X1,X2)
| X2 != relation_image(X3,relation_inverse_image(X3,X4))
| X5 != relation_image(X3,X6)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,X5)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_rng(esk21_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_43,plain,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| X4 != relation_image(X2,X5)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(X2,relation_dom(X2)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_45,plain,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_image(X2,X4))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_dom(esk21_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_39]),c_0_40])]) ).
fof(c_0_47,plain,
! [X11,X12] :
( ( subset(X11,X12)
| X11 != X12 )
& ( subset(X12,X11)
| X11 != X12 )
& ( ~ subset(X11,X12)
| ~ subset(X12,X11)
| X11 = X12 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(c_0_48,plain,
! [X69,X70] :
( ~ relation(X70)
| ~ function(X70)
| subset(relation_image(X70,relation_inverse_image(X70,X69)),X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_funct_1])]) ).
cnf(c_0_49,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_inverse_image(esk21_0,X2)))
| ~ in(esk5_2(esk20_0,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_40])]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
( subset(esk20_0,X1)
| in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_54,plain,
( relation_image(X1,relation_inverse_image(X1,X2)) = X2
| ~ subset(X2,relation_image(X1,relation_inverse_image(X1,X2)))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
subset(esk20_0,relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,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_54,c_0_55]),c_0_39]),c_0_40])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 22:58:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 196.35/196.32 % Version : CSE_E---1.5
% 196.35/196.32 % Problem : theBenchmark.p
% 196.35/196.32 % Proof found
% 196.35/196.32 % SZS status Theorem for theBenchmark.p
% 196.35/196.32 % SZS output start Proof
% See solution above
% 196.35/196.33 % Total time : 195.734000 s
% 196.35/196.33 % SZS output end Proof
% 196.35/196.33 % Total time : 195.746000 s
%------------------------------------------------------------------------------