%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU265+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 : n007.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 05:11:18 PM UTC 2026
% Result : Theorem 1.83s 1.88s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 16 unt; 0 def)
% Number of atoms : 249 ( 62 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 274 ( 118 ~; 121 |; 16 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 184 ( 15 sgn 95 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_relset_1,conjecture,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X4,X5),X3) )
<=> relation_dom_as_subset(X2,X1,X3) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_relset_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(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(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(t20_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_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(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(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(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(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(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
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(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(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X4,X5),X3) )
<=> relation_dom_as_subset(X2,X1,X3) = X2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_relset_1])]) ).
fof(c_0_18,negated_conjecture,
! [X126,X127] :
( relation_of2_as_subset(esk11_0,esk10_0,esk9_0)
& ( in(esk12_0,esk10_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 )
& ( ~ in(ordered_pair(esk12_0,X126),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 )
& ( ~ in(X127,esk10_0)
| in(ordered_pair(X127,esk13_1(X127)),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_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_17])])])])]) ).
fof(c_0_19,plain,
! [X90,X91] : ordered_pair(X90,X91) = unordered_pair(unordered_pair(X90,X91),singleton(X90)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_20,plain,
! [X92,X93,X94] :
( ~ relation_of2(X94,X92,X93)
| element(relation_dom_as_subset(X92,X93,X94),powerset(X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])]) ).
fof(c_0_21,plain,
! [X110,X111,X112] :
( ~ relation_of2(X112,X110,X111)
| relation_dom_as_subset(X110,X111,X112) = relation_dom(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
fof(c_0_22,plain,
! [X119,X120,X121] :
( ( in(X119,relation_dom(X121))
| ~ in(ordered_pair(X119,X120),X121)
| ~ relation(X121) )
& ( in(X120,relation_rng(X121))
| ~ in(ordered_pair(X119,X120),X121)
| ~ relation(X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_23,negated_conjecture,
( in(ordered_pair(X1,esk13_1(X1)),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| ~ in(X1,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X78,X79] : unordered_pair(X78,X79) = unordered_pair(X79,X78),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_26,plain,
! [X75,X76,X77] :
( ~ element(X77,powerset(cartesian_product2(X75,X76)))
| relation(X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_27,plain,
! [X95,X96,X97] :
( ~ relation_of2_as_subset(X97,X95,X96)
| element(X97,powerset(cartesian_product2(X95,X96))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_28,plain,
! [X139,X140,X141] :
( ~ in(X139,X140)
| ~ element(X140,powerset(X141))
| ~ empty(X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_29,plain,
! [X129,X130] :
( ~ element(X129,X130)
| empty(X130)
| in(X129,X130) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_30,plain,
! [X101] : element(esk5_1(X101),X101),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_31,plain,
( element(relation_dom_as_subset(X2,X3,X1),powerset(X2))
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( relation_dom_as_subset(X2,X3,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_33,plain,
! [X113,X114,X115] :
( ( ~ relation_of2_as_subset(X115,X113,X114)
| relation_of2(X115,X113,X114) )
& ( ~ relation_of2(X115,X113,X114)
| relation_of2_as_subset(X115,X113,X114) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_34,plain,
( in(X1,relation_dom(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(X1,esk13_1(X1)),singleton(X1)),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_37,plain,
! [X131,X132] :
( ( ~ in(esk14_2(X131,X132),X131)
| ~ in(esk14_2(X131,X132),X132)
| X131 = X132 )
& ( in(esk14_2(X131,X132),X131)
| in(esk14_2(X131,X132),X132)
| X131 = X132 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_38,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
element(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( element(relation_dom(X1),powerset(X2))
| ~ relation_of2(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_44,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
inference(rw,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,plain,
( in(esk14_2(X1,X2),X1)
| in(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
relation_of2_as_subset(esk11_0,esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_50,plain,
! [X142] :
( ~ empty(X142)
| X142 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_51,plain,
( ~ empty(X1)
| ~ relation_of2(X2,X1,X3)
| ~ in(X4,relation_dom_as_subset(X1,X3,X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_52,plain,
( empty(X1)
| in(esk5_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_53,plain,
! [X80,X81,X82,X84,X85,X86,X88] :
( ( ~ in(X82,X81)
| in(ordered_pair(X82,esk1_3(X80,X81,X82)),X80)
| X81 != relation_dom(X80)
| ~ relation(X80) )
& ( ~ in(ordered_pair(X84,X85),X80)
| in(X84,X81)
| X81 != relation_dom(X80)
| ~ relation(X80) )
& ( ~ in(esk2_2(X80,X86),X86)
| ~ in(ordered_pair(esk2_2(X80,X86),X88),X80)
| X86 = relation_dom(X80)
| ~ relation(X80) )
& ( in(esk2_2(X80,X86),X86)
| in(ordered_pair(esk2_2(X80,X86),esk3_2(X80,X86)),X80)
| X86 = relation_dom(X80)
| ~ relation(X80) ) ),
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])])])])])]) ).
fof(c_0_54,plain,
! [X136,X137,X138] :
( ~ in(X136,X137)
| ~ element(X137,powerset(X138))
| element(X136,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_55,plain,
( element(relation_dom(X1),powerset(X2))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_56,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_57,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| esk10_0 = X1
| in(unordered_pair(singleton(esk14_2(esk10_0,X1)),unordered_pair(esk14_2(esk10_0,X1),esk13_1(esk14_2(esk10_0,X1)))),esk11_0)
| in(esk14_2(esk10_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
relation(esk11_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_59,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( empty(relation_dom_as_subset(X1,X2,X3))
| ~ empty(X1)
| ~ relation_of2(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_61,plain,
! [X143,X144] :
( ~ in(X143,X144)
| ~ empty(X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_62,negated_conjecture,
( ~ in(ordered_pair(esk12_0,X1),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_63,plain,
( in(ordered_pair(X1,esk1_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,negated_conjecture,
element(relation_dom(esk11_0),powerset(esk10_0)),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_66,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| esk10_0 = X1
| in(esk14_2(esk10_0,X1),relation_dom(esk11_0))
| in(esk14_2(esk10_0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_67,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_68,plain,
( relation_dom_as_subset(X1,X2,X3) = empty_set
| ~ empty(X1)
| ~ relation_of2(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(esk12_0)),esk11_0) ),
inference(rw,[status(thm)],[c_0_62,c_0_24]) ).
cnf(c_0_71,plain,
( in(unordered_pair(unordered_pair(X1,esk1_3(X3,X2,X1)),singleton(X1)),X3)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_63,c_0_24]) ).
cnf(c_0_72,negated_conjecture,
( element(X1,esk10_0)
| ~ in(X1,relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0
| in(esk14_2(esk10_0,relation_dom(esk11_0)),relation_dom(esk11_0)) ),
inference(ef,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ~ empty(esk10_0)
| ~ relation_of2(esk11_0,esk10_0,esk9_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_59]),c_0_69]) ).
cnf(c_0_75,plain,
( X1 = X2
| ~ in(esk14_2(X1,X2),X1)
| ~ in(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_76,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| ~ in(unordered_pair(singleton(esk12_0),unordered_pair(esk12_0,X1)),esk11_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_36]) ).
cnf(c_0_77,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_71,c_0_36]) ).
cnf(c_0_78,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0
| element(esk14_2(esk10_0,relation_dom(esk11_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
~ empty(esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_44]),c_0_49])]) ).
cnf(c_0_80,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0
| ~ in(esk14_2(esk10_0,relation_dom(esk11_0)),esk10_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ relation(esk11_0)
| ~ in(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_58])]) ).
cnf(c_0_84,negated_conjecture,
( relation_dom(esk11_0) = esk10_0
| ~ relation_of2(esk11_0,esk10_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( relation_dom(esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ relation_of2(esk11_0,esk10_0,esk9_0)
| ~ in(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_32]) ).
cnf(c_0_86,negated_conjecture,
relation_dom(esk11_0) = esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_44]),c_0_49])]) ).
cnf(c_0_87,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom(esk11_0) != esk10_0
| ~ relation_of2(esk11_0,esk10_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_32]) ).
cnf(c_0_88,negated_conjecture,
( X1 != esk10_0
| ~ relation_of2(esk11_0,esk10_0,esk9_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).
cnf(c_0_89,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom(esk11_0) != esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_44]),c_0_49])]) ).
cnf(c_0_90,negated_conjecture,
( X1 != esk10_0
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_44]),c_0_49])]) ).
cnf(c_0_91,negated_conjecture,
in(esk12_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_86])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_90,c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU265+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
% 0.14/0.32 % Computer : n007.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:52:23 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.83/1.88 % Version : CSE_E---1.7
% 1.83/1.88 % Problem : theBenchmark.p
% 1.83/1.88 % SZS status Theorem for theBenchmark.p
% 1.83/1.88 % SZS output start CNFRefutation
% See solution above
% 1.83/1.89 % Total time : 1.370s
%------------------------------------------------------------------------------