%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU293+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 : Tue May 5 05:11:22 PM UTC 2026
% Result : Theorem 2.06s 1.98s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 14 unt; 0 def)
% Number of atoms : 282 ( 44 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 342 ( 143 ~; 146 |; 30 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 175 ( 16 sgn 83 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(t46_funct_2,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( X2 != empty_set
=> ! [X5] :
( in(X5,relation_inverse_image(X4,X3))
<=> ( in(X5,X1)
& in(apply(X4,X5),X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(dt_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> element(relation_dom_as_subset(X1,X2,X3),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_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(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) )
& ( X2 = empty_set
=> ( X1 = empty_set
| ( quasi_total(X3,X1,X2)
<=> X3 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(c_0_14,plain,
! [X98,X99,X100,X101,X102,X103,X104] :
( ( in(X101,relation_dom(X98))
| ~ in(X101,X100)
| X100 != relation_inverse_image(X98,X99)
| ~ relation(X98)
| ~ function(X98) )
& ( in(apply(X98,X101),X99)
| ~ in(X101,X100)
| X100 != relation_inverse_image(X98,X99)
| ~ relation(X98)
| ~ function(X98) )
& ( ~ in(X102,relation_dom(X98))
| ~ in(apply(X98,X102),X99)
| in(X102,X100)
| X100 != relation_inverse_image(X98,X99)
| ~ relation(X98)
| ~ function(X98) )
& ( ~ in(esk1_3(X98,X103,X104),X104)
| ~ in(esk1_3(X98,X103,X104),relation_dom(X98))
| ~ in(apply(X98,esk1_3(X98,X103,X104)),X103)
| X104 = relation_inverse_image(X98,X103)
| ~ relation(X98)
| ~ function(X98) )
& ( in(esk1_3(X98,X103,X104),relation_dom(X98))
| in(esk1_3(X98,X103,X104),X104)
| X104 = relation_inverse_image(X98,X103)
| ~ relation(X98)
| ~ function(X98) )
& ( in(apply(X98,esk1_3(X98,X103,X104)),X103)
| in(esk1_3(X98,X103,X104),X104)
| X104 = relation_inverse_image(X98,X103)
| ~ relation(X98)
| ~ function(X98) ) ),
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])])])])])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( X2 != empty_set
=> ! [X5] :
( in(X5,relation_inverse_image(X4,X3))
<=> ( in(X5,X1)
& in(apply(X4,X5),X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t46_funct_2]) ).
fof(c_0_16,plain,
! [X94,X95,X96] :
( ~ element(X96,powerset(cartesian_product2(X94,X95)))
| relation(X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_17,plain,
! [X112,X113,X114] :
( ~ relation_of2_as_subset(X114,X112,X113)
| element(X114,powerset(cartesian_product2(X112,X113))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_18,plain,
! [X166,X167,X168] :
( ~ in(X166,X167)
| ~ element(X167,powerset(X168))
| element(X166,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_19,plain,
! [X109,X110,X111] :
( ~ relation_of2(X111,X109,X110)
| element(relation_dom_as_subset(X109,X110,X111),powerset(X109)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])]) ).
cnf(c_0_20,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,X3)
| X3 != relation_inverse_image(X2,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,negated_conjecture,
( function(esk22_0)
& quasi_total(esk22_0,esk19_0,esk20_0)
& relation_of2_as_subset(esk22_0,esk19_0,esk20_0)
& esk20_0 != empty_set
& ( ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,esk19_0)
| ~ in(apply(esk22_0,esk23_0),esk21_0) )
& ( in(esk23_0,esk19_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) )
& ( in(apply(esk22_0,esk23_0),esk21_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_22,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X169,X170,X171] :
( ~ in(X169,X170)
| ~ element(X170,powerset(X171))
| ~ empty(X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_25,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( element(relation_dom_as_subset(X2,X3,X1),powerset(X2))
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_27,plain,
! [X148,X149,X150] :
( ~ relation_of2(X150,X148,X149)
| relation_dom_as_subset(X148,X149,X150) = relation_dom(X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
cnf(c_0_28,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( in(esk23_0,esk19_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
function(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
relation_of2_as_subset(esk22_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_34,plain,
! [X157,X158] :
( ~ element(X157,X158)
| empty(X158)
| in(X157,X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_35,plain,
! [X118] : element(esk3_1(X118),X118),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_36,plain,
! [X173,X174] :
( ~ in(X173,X174)
| ~ empty(X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_37,plain,
( element(X1,X2)
| ~ relation_of2(X3,X2,X4)
| ~ in(X1,relation_dom_as_subset(X2,X4,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_38,plain,
( relation_dom_as_subset(X2,X3,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( in(esk23_0,relation_dom(esk22_0))
| in(esk23_0,esk19_0)
| ~ relation(esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,negated_conjecture,
relation(esk22_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( ~ relation_of2(X1,X2,X3)
| ~ empty(X2)
| ~ in(X4,relation_dom_as_subset(X2,X3,X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_42,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
element(esk3_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,X4)
| X4 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,plain,
( element(X1,X2)
| ~ relation_of2(X3,X2,X4)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( in(esk23_0,relation_dom(esk22_0))
| in(esk23_0,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
fof(c_0_48,plain,
! [X151,X152,X153] :
( ( ~ relation_of2_as_subset(X153,X151,X152)
| relation_of2(X153,X151,X152) )
& ( ~ relation_of2(X153,X151,X152)
| relation_of2_as_subset(X153,X151,X152) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_49,plain,
( ~ relation_of2(X1,X2,X3)
| ~ empty(X2)
| ~ in(X4,relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_50,plain,
( empty(X1)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( in(esk23_0,esk19_0)
| ~ relation(esk22_0)
| ~ empty(relation_dom(esk22_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_52,negated_conjecture,
( ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,esk19_0)
| ~ in(apply(esk22_0,esk23_0),esk21_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_54,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_14]) ).
cnf(c_0_55,negated_conjecture,
( element(esk23_0,X1)
| in(esk23_0,esk19_0)
| ~ relation_of2(esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_57,plain,
! [X155,X156] :
( ~ in(X155,X156)
| element(X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_58,plain,
( empty(relation_dom(X1))
| ~ relation_of2(X1,X2,X3)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,negated_conjecture,
( in(esk23_0,esk19_0)
| ~ empty(relation_dom(esk22_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40])]) ).
fof(c_0_60,plain,
! [X106,X107,X108] :
( ( ~ quasi_total(X108,X106,X107)
| X106 = relation_dom_as_subset(X106,X107,X108)
| X107 = empty_set
| ~ relation_of2_as_subset(X108,X106,X107) )
& ( X106 != relation_dom_as_subset(X106,X107,X108)
| quasi_total(X108,X106,X107)
| X107 = empty_set
| ~ relation_of2_as_subset(X108,X106,X107) )
& ( ~ quasi_total(X108,X106,X107)
| X106 = relation_dom_as_subset(X106,X107,X108)
| X106 != empty_set
| ~ relation_of2_as_subset(X108,X106,X107) )
& ( X106 != relation_dom_as_subset(X106,X107,X108)
| quasi_total(X108,X106,X107)
| X106 != empty_set
| ~ relation_of2_as_subset(X108,X106,X107) )
& ( ~ quasi_total(X108,X106,X107)
| X108 = empty_set
| X106 = empty_set
| X107 != empty_set
| ~ relation_of2_as_subset(X108,X106,X107) )
& ( X108 != empty_set
| quasi_total(X108,X106,X107)
| X106 = empty_set
| X107 != empty_set
| ~ relation_of2_as_subset(X108,X106,X107) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ relation(esk22_0)
| ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_30])]) ).
cnf(c_0_62,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( in(apply(esk22_0,esk23_0),esk21_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_64,negated_conjecture,
( element(esk23_0,X1)
| in(esk23_0,esk19_0)
| ~ relation_of2_as_subset(esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
( empty(relation_dom(X1))
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( ~ empty(relation_dom(esk22_0))
| ~ empty(esk19_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_59]) ).
cnf(c_0_68,plain,
( X2 = relation_dom_as_subset(X2,X3,X1)
| X3 = empty_set
| ~ quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70,negated_conjecture,
( ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_40])]) ).
cnf(c_0_71,negated_conjecture,
( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,relation_dom(esk22_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_30])]),c_0_40])]) ).
cnf(c_0_72,negated_conjecture,
element(esk23_0,esk19_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_32]),c_0_65]) ).
cnf(c_0_73,negated_conjecture,
~ empty(esk19_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_67]) ).
cnf(c_0_74,plain,
( X1 = relation_dom(X2)
| X3 = empty_set
| ~ relation_of2(X2,X1,X3)
| ~ quasi_total(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_68]),c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( ~ in(esk23_0,relation_dom(esk22_0))
| ~ in(esk23_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
in(esk23_0,esk19_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_72]),c_0_73]) ).
cnf(c_0_77,plain,
( X1 = relation_dom(X2)
| X3 = empty_set
| ~ quasi_total(X2,X1,X3)
| ~ relation_of2_as_subset(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_56]) ).
cnf(c_0_78,negated_conjecture,
quasi_total(esk22_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_79,negated_conjecture,
esk20_0 != empty_set,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_80,negated_conjecture,
~ in(esk23_0,relation_dom(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_81,negated_conjecture,
relation_dom(esk22_0) = esk19_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32])]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU293+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 02:55:15 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 2.06/1.98 % Version : CSE_E---1.7
% 2.06/1.98 % Problem : theBenchmark.p
% 2.06/1.98 % SZS status Theorem for theBenchmark.p
% 2.06/1.98 % SZS output start CNFRefutation
% See solution above
% 2.06/1.99 % Total time : 1.371s
%------------------------------------------------------------------------------