TSTP Solution File: SEU072+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU072+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 : 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 16:22:21 EDT 2023
% Result : Theorem 1.98s 2.04s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 46
% Syntax : Number of formulae : 105 ( 22 unt; 33 typ; 0 def)
% Number of atoms : 232 ( 66 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 262 ( 102 ~; 109 |; 31 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 23 >; 10 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 94 ( 3 sgn; 52 !; 4 ?; 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,
relation_rng: $i > $i ).
tff(decl_28,type,
relation_dom: $i > $i ).
tff(decl_29,type,
apply: ( $i * $i ) > $i ).
tff(decl_30,type,
element: ( $i * $i ) > $o ).
tff(decl_31,type,
empty_set: $i ).
tff(decl_32,type,
relation_empty_yielding: $i > $o ).
tff(decl_33,type,
powerset: $i > $i ).
tff(decl_34,type,
singleton: $i > $i ).
tff(decl_35,type,
subset: ( $i * $i ) > $o ).
tff(decl_36,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_37,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_38,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk4_1: $i > $i ).
tff(decl_42,type,
esk5_1: $i > $i ).
tff(decl_43,type,
esk6_1: $i > $i ).
tff(decl_44,type,
esk7_0: $i ).
tff(decl_45,type,
esk8_0: $i ).
tff(decl_46,type,
esk9_1: $i > $i ).
tff(decl_47,type,
esk10_0: $i ).
tff(decl_48,type,
esk11_0: $i ).
tff(decl_49,type,
esk12_0: $i ).
tff(decl_50,type,
esk13_1: $i > $i ).
tff(decl_51,type,
esk14_0: $i ).
tff(decl_52,type,
esk15_0: $i ).
tff(decl_53,type,
esk16_0: $i ).
tff(decl_54,type,
esk17_0: $i ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(t153_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ! [X2] : subset(relation_inverse_image(X1,relation_image(X1,X2)),X2)
=> one_to_one(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t153_funct_1) ).
fof(t39_zfmisc_1,axiom,
! [X1,X2] :
( subset(X1,singleton(X2))
<=> ( X1 = empty_set
| X1 = singleton(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ empty(singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(t117_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(X2))
=> relation_image(X2,singleton(X1)) = singleton(apply(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(d8_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
<=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
& in(X3,relation_dom(X1))
& apply(X1,X2) = apply(X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_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(t142_funct_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(t6_zfmisc_1,axiom,
! [X1,X2] :
( subset(singleton(X1),singleton(X2))
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_13,plain,
! [X66] :
( ~ empty(X66)
| X66 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_14,plain,
( relation(esk11_0)
& empty(esk11_0)
& function(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(c_0_15,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ! [X2] : subset(relation_inverse_image(X1,relation_image(X1,X2)),X2)
=> one_to_one(X1) ) ),
inference(assume_negation,[status(cth)],[t153_funct_1]) ).
fof(c_0_17,plain,
! [X56,X57] :
( ( ~ subset(X56,singleton(X57))
| X56 = empty_set
| X56 = singleton(X57) )
& ( X56 != empty_set
| subset(X56,singleton(X57)) )
& ( X56 != singleton(X57)
| subset(X56,singleton(X57)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
cnf(c_0_18,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
empty(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,plain,
! [X58,X59] :
( ( ~ element(X58,powerset(X59))
| subset(X58,X59) )
& ( ~ subset(X58,X59)
| element(X58,powerset(X59)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_21,plain,
! [X35] :
( ( element(esk9_1(X35),powerset(X35))
| empty(X35) )
& ( ~ empty(esk9_1(X35))
| empty(X35) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_22,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(c_0_23,negated_conjecture,
! [X51] :
( relation(esk17_0)
& function(esk17_0)
& subset(relation_inverse_image(esk17_0,relation_image(esk17_0,X51)),X51)
& ~ one_to_one(esk17_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_24,plain,
! [X46,X47] :
( ~ relation(X47)
| ~ function(X47)
| ~ in(X46,relation_dom(X47))
| relation_image(X47,singleton(X46)) = singleton(apply(X47,X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_funct_1])]) ).
fof(c_0_25,plain,
! [X20,X21,X22] :
( ( ~ one_to_one(X20)
| ~ in(X21,relation_dom(X20))
| ~ in(X22,relation_dom(X20))
| apply(X20,X21) != apply(X20,X22)
| X21 = X22
| ~ relation(X20)
| ~ function(X20) )
& ( in(esk4_1(X20),relation_dom(X20))
| one_to_one(X20)
| ~ relation(X20)
| ~ function(X20) )
& ( in(esk5_1(X20),relation_dom(X20))
| one_to_one(X20)
| ~ relation(X20)
| ~ function(X20) )
& ( apply(X20,esk4_1(X20)) = apply(X20,esk5_1(X20))
| one_to_one(X20)
| ~ relation(X20)
| ~ function(X20) )
& ( esk4_1(X20) != esk5_1(X20)
| one_to_one(X20)
| ~ relation(X20)
| ~ function(X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_1])])])])]) ).
cnf(c_0_26,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
empty_set = esk11_0,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( element(esk9_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,plain,
! [X28] : ~ empty(singleton(X28)),
inference(variable_rename,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
subset(relation_inverse_image(esk17_0,relation_image(esk17_0,X1)),X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( relation_image(X1,singleton(X2)) = singleton(apply(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( apply(X1,esk4_1(X1)) = apply(X1,esk5_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
~ one_to_one(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( in(esk5_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( X1 = singleton(X2)
| X1 = esk11_0
| ~ subset(X1,singleton(X2)) ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_39,plain,
( subset(esk9_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_40,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,negated_conjecture,
( subset(relation_inverse_image(esk17_0,singleton(apply(esk17_0,X1))),singleton(X1))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
apply(esk17_0,esk5_1(esk17_0)) = apply(esk17_0,esk4_1(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34])]),c_0_36]) ).
cnf(c_0_43,negated_conjecture,
in(esk5_1(esk17_0),relation_dom(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_34])]),c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( relation_inverse_image(esk17_0,relation_image(esk17_0,singleton(X1))) = singleton(X1)
| relation_inverse_image(esk17_0,relation_image(esk17_0,singleton(X1))) = esk11_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_45,plain,
( in(esk4_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_46,plain,
( esk9_1(singleton(X1)) = singleton(X1)
| esk9_1(singleton(X1)) = esk11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
fof(c_0_47,plain,
! [X10,X11,X12,X14,X15,X16,X18] :
( ( in(esk1_3(X10,X11,X12),relation_dom(X10))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( X12 = apply(X10,esk1_3(X10,X11,X12))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(X15,relation_dom(X10))
| X14 != apply(X10,X15)
| in(X14,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(esk2_2(X10,X16),X16)
| ~ in(X18,relation_dom(X10))
| esk2_2(X10,X16) != apply(X10,X18)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( in(esk3_2(X10,X16),relation_dom(X10))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( esk2_2(X10,X16) = apply(X10,esk3_2(X10,X16))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) ) ),
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])])])])])]) ).
fof(c_0_48,plain,
! [X48,X49] :
( ( ~ in(X48,relation_rng(X49))
| relation_inverse_image(X49,singleton(X48)) != empty_set
| ~ relation(X49) )
& ( relation_inverse_image(X49,singleton(X48)) = empty_set
| in(X48,relation_rng(X49))
| ~ relation(X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t142_funct_1])])]) ).
cnf(c_0_49,negated_conjecture,
subset(relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))),singleton(esk5_1(esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_50,negated_conjecture,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,X1))) = singleton(X1)
| relation_inverse_image(esk17_0,singleton(apply(esk17_0,X1))) = esk11_0
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_51,negated_conjecture,
in(esk4_1(esk17_0),relation_dom(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_33]),c_0_34])]),c_0_36]) ).
cnf(c_0_52,plain,
( empty(X1)
| ~ empty(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,plain,
( esk9_1(singleton(X1)) = esk11_0
| singleton(X1) != esk11_0 ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_54,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_47]) ).
cnf(c_0_55,plain,
( ~ in(X1,relation_rng(X2))
| relation_inverse_image(X2,singleton(X1)) != empty_set
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = singleton(esk5_1(esk17_0))
| relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = esk11_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = singleton(esk4_1(esk17_0))
| relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = esk11_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
singleton(X1) != esk11_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_19])]),c_0_40]) ).
cnf(c_0_59,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])]) ).
fof(c_0_60,plain,
! [X67,X68] :
( ~ subset(singleton(X67),singleton(X68))
| X67 = X68 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_zfmisc_1])]) ).
cnf(c_0_61,plain,
( relation_inverse_image(X1,singleton(X2)) != esk11_0
| ~ relation(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(rw,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_62,negated_conjecture,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = esk11_0
| singleton(esk5_1(esk17_0)) = singleton(esk4_1(esk17_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
in(apply(esk17_0,esk4_1(esk17_0)),relation_rng(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_42]),c_0_33]),c_0_34]),c_0_43])]) ).
cnf(c_0_64,plain,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
singleton(esk5_1(esk17_0)) = singleton(esk4_1(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_33]),c_0_63])]) ).
fof(c_0_66,plain,
! [X45] : subset(X45,X45),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_67,plain,
( one_to_one(X1)
| esk4_1(X1) != esk5_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_68,negated_conjecture,
( esk5_1(esk17_0) = X1
| ~ subset(singleton(esk4_1(esk17_0)),singleton(X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,negated_conjecture,
esk5_1(esk17_0) != esk4_1(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_67]),c_0_33]),c_0_34])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 23 20:20:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.98/2.04 % Version : CSE_E---1.5
% 1.98/2.04 % Problem : theBenchmark.p
% 1.98/2.04 % Proof found
% 1.98/2.04 % SZS status Theorem for theBenchmark.p
% 1.98/2.04 % SZS output start Proof
% See solution above
% 1.98/2.04 % Total time : 1.455000 s
% 1.98/2.04 % SZS output end Proof
% 1.98/2.04 % Total time : 1.458000 s
%------------------------------------------------------------------------------