%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU249+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:27 PM UTC 2026
% Result : Theorem 10.05s 1.96s
% Output : CNFRefutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 101 ( 10 unt; 0 def)
% Number of atoms : 280 ( 39 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 314 ( 135 ~; 139 |; 19 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 198 ( 21 sgn 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X2)
| in(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X2)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t119_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_rng(relation_rng_restriction(X1,X2)) = set_intersection2(relation_rng(X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_relat_1) ).
fof(t18_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(d6_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(t19_wellord1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,X2)
& in(X1,relation_field(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
fof(t90_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_relat_1) ).
fof(t17_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( empty(X3)
& element(X2,powerset(X3))
& in(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X3))
& in(X1,X2) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t99_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
fof(l29_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(dt_k2_wellord1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( in(X1,X2)
| empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_18,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( X20 = set_union2(X18,X19)
| in(esk1_3(X18,X19,X20),X19)
| in(esk1_3(X18,X19,X20),X18)
| in(esk1_3(X18,X19,X20),X20) )
& ( X20 = set_union2(X18,X19)
| ~ in(esk1_3(X18,X19,X20),X20)
| ~ in(esk1_3(X18,X19,X20),X19) )
& ( X20 = set_union2(X18,X19)
| ~ in(esk1_3(X18,X19,X20),X20)
| ~ in(esk1_3(X18,X19,X20),X18) )
& ( X15 != set_union2(X13,X14)
| in(X17,X15)
| ~ in(X17,X14) )
& ( X15 != set_union2(X13,X14)
| in(X17,X15)
| ~ in(X17,X13) )
& ( X15 != set_union2(X13,X14)
| in(X16,X14)
| in(X16,X13)
| ~ in(X16,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[d2_xboole_0])])])])])])]) ).
fof(c_0_19,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29] :
( ( X29 = set_intersection2(X27,X28)
| in(esk2_3(X27,X28,X29),X29)
| in(esk2_3(X27,X28,X29),X28) )
& ( X29 = set_intersection2(X27,X28)
| in(esk2_3(X27,X28,X29),X29)
| in(esk2_3(X27,X28,X29),X27) )
& ( X29 = set_intersection2(X27,X28)
| ~ in(esk2_3(X27,X28,X29),X28)
| ~ in(esk2_3(X27,X28,X29),X27)
| ~ in(esk2_3(X27,X28,X29),X29) )
& ( X24 != set_intersection2(X22,X23)
| in(X26,X24)
| ~ in(X26,X23)
| ~ in(X26,X22) )
& ( X24 != set_intersection2(X22,X23)
| ~ in(X25,X24)
| in(X25,X23) )
& ( X24 != set_intersection2(X22,X23)
| ~ in(X25,X24)
| in(X25,X22) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_xboole_0])])])])])])]) ).
fof(c_0_20,plain,
! [X60,X61] :
( relation_rng(relation_rng_restriction(X60,X61)) = set_intersection2(relation_rng(X61),X60)
| ~ relation(X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_relat_1])])]) ).
fof(c_0_21,plain,
! [X64,X65] :
( relation_restriction(X65,X64) = relation_rng_restriction(X64,relation_dom_restriction(X65,X64))
| ~ relation(X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_wellord1])])]) ).
fof(c_0_22,plain,
! [X11,X12] : set_intersection2(X11,X12) = set_intersection2(X12,X11),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_23,plain,
! [X36,X37] :
( relation(relation_dom_restriction(X36,X37))
| ~ relation(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])]) ).
cnf(c_0_24,plain,
( X2 != set_union2(X3,X4)
| ~ in(X1,X2)
| in(X1,X4)
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X31] :
( relation_field(X31) = set_union2(relation_dom(X31),relation_rng(X31))
| ~ relation(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])])]) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,X2)
& in(X1,relation_field(X3)) ) ) ),
inference(assume_negation,[status(cth)],[t19_wellord1]) ).
fof(c_0_27,plain,
! [X88,X89] :
( relation_dom(relation_dom_restriction(X89,X88)) = set_intersection2(relation_dom(X89),X88)
| ~ relation(X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])])]) ).
fof(c_0_28,plain,
! [X62,X63] :
( relation_restriction(X63,X62) = relation_dom_restriction(relation_rng_restriction(X62,X63),X62)
| ~ relation(X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])])]) ).
fof(c_0_29,plain,
! [X38,X39] :
( relation(relation_rng_restriction(X38,X39))
| ~ relation(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])])]) ).
cnf(c_0_30,plain,
( X3 != set_intersection2(X4,X2)
| ~ in(X1,X3)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( ~ relation(X1)
| relation_rng(relation_rng_restriction(X2,X1)) = set_intersection2(relation_rng(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( ~ relation(X1)
| relation_restriction(X1,X2) = relation_rng_restriction(X2,relation_dom_restriction(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( ~ in(X1,set_union2(X3,X2))
| in(X1,X3)
| in(X1,X2) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( ~ relation(X1)
| relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_37,negated_conjecture,
( ( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_field(esk11_0)) )
& in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0)))
& relation(esk11_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_38,plain,
( X3 != set_intersection2(X2,X4)
| ~ in(X1,X3)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_39,plain,
! [X80,X81,X82] :
( ~ empty(X82)
| ~ element(X81,powerset(X82))
| ~ in(X80,X81) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
fof(c_0_40,plain,
! [X75,X76] :
( ( element(X75,powerset(X76))
| ~ subset(X75,X76) )
& ( subset(X75,X76)
| ~ element(X75,powerset(X76)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_41,plain,
( ~ relation(X1)
| relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( ~ relation(X1)
| relation_restriction(X1,X2) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( ~ relation(X1)
| relation(relation_rng_restriction(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,plain,
( ~ in(X1,set_intersection2(X3,X2))
| in(X1,X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_45,plain,
( ~ relation(X2)
| set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1))) = relation_rng(relation_restriction(X2,X1)) ),
inference(csr,[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_46,plain,
( ~ in(X1,relation_field(X2))
| ~ relation(X2)
| in(X1,relation_rng(X2))
| in(X1,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0))),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( ~ in(X1,set_intersection2(X2,X3))
| in(X1,X2) ),
inference(er,[status(thm)],[c_0_38]) ).
fof(c_0_49,plain,
! [X77,X78,X79] :
( element(X77,X79)
| ~ element(X78,powerset(X79))
| ~ in(X77,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_50,plain,
( ~ empty(X3)
| ~ element(X2,powerset(X3))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,plain,
( ~ subset(X1,X2)
| element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_52,plain,
! [X90,X91] :
( subset(relation_rng(relation_dom_restriction(X91,X90)),relation_rng(X91))
| ~ relation(X91) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])])]) ).
cnf(c_0_53,plain,
( ~ relation(X2)
| set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2))) = relation_dom(relation_restriction(X2,X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33]),c_0_43]) ).
cnf(c_0_54,plain,
( ~ in(X1,relation_rng(relation_restriction(X2,X3)))
| ~ relation(X2)
| in(X1,relation_rng(relation_dom_restriction(X2,X3))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( X3 != set_union2(X2,X4)
| ~ in(X1,X2)
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58,plain,
( ~ in(X1,relation_rng(relation_restriction(X3,X2)))
| ~ relation(X3)
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_59,plain,
( ~ element(X2,powerset(X3))
| ~ in(X1,X2)
| element(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( X3 != set_union2(X4,X2)
| ~ in(X1,X2)
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_61,plain,
! [X52,X53] :
( subset(relation_dom(relation_rng_restriction(X52,X53)),relation_dom(X53))
| ~ relation(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l29_wellord1])])]) ).
cnf(c_0_62,plain,
( ~ in(X3,X1)
| ~ empty(X2)
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_63,plain,
( ~ relation(X1)
| subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_64,plain,
( ~ in(X1,relation_dom(relation_restriction(X3,X2)))
| ~ relation(X3)
| in(X1,relation_dom(relation_rng_restriction(X2,X3))) ),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_66,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_67,plain,
( ~ in(X1,relation_dom(relation_restriction(X3,X2)))
| ~ relation(X3)
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_53]) ).
cnf(c_0_68,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,esk10_0)
| in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_56])]) ).
fof(c_0_69,plain,
! [X34,X35] :
( relation(relation_restriction(X34,X35))
| ~ relation(X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])])]) ).
cnf(c_0_70,plain,
( ~ in(X1,X3)
| ~ subset(X3,X2)
| element(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_71,plain,
( ~ in(X1,X3)
| in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( ~ relation(X1)
| subset(relation_dom(relation_rng_restriction(X2,X1)),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_73,plain,
( ~ in(X2,relation_rng(relation_dom_restriction(X1,X3)))
| ~ empty(relation_rng(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_56])]) ).
cnf(c_0_75,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_field(esk11_0)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_76,plain,
( ~ in(X1,relation_dom(X2))
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_36]) ).
cnf(c_0_77,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_56])]) ).
cnf(c_0_78,plain,
( ~ relation(X1)
| relation(relation_restriction(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
( ~ in(X1,relation_rng(relation_dom_restriction(X2,X3)))
| ~ relation(X2)
| element(X1,relation_rng(X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_63]) ).
cnf(c_0_80,plain,
( ~ in(X1,relation_rng(X2))
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_36]) ).
fof(c_0_81,plain,
! [X73,X74] :
( in(X73,X74)
| empty(X74)
| ~ element(X73,X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_82,plain,
( ~ in(X1,relation_dom(relation_rng_restriction(X3,X2)))
| ~ relation(X2)
| element(X1,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( ~ empty(relation_rng(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_56])]) ).
cnf(c_0_84,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_dom(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_56])]) ).
cnf(c_0_85,negated_conjecture,
in(esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_56])]) ).
cnf(c_0_86,plain,
( ~ in(X2,relation_dom(relation_rng_restriction(X3,X1)))
| ~ empty(relation_dom(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_72]) ).
cnf(c_0_87,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_74]),c_0_56])]) ).
cnf(c_0_88,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_56])]) ).
cnf(c_0_89,plain,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ empty(relation_rng(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| element(esk9_0,relation_dom(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_56])]) ).
cnf(c_0_91,negated_conjecture,
~ in(esk9_0,relation_dom(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_92,negated_conjecture,
( ~ empty(relation_rng(esk11_0))
| ~ empty(relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_56])]) ).
cnf(c_0_93,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| element(esk9_0,relation_dom(esk11_0))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_87]),c_0_56])]) ).
cnf(c_0_94,negated_conjecture,
~ in(esk9_0,relation_rng(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_85])]) ).
cnf(c_0_95,negated_conjecture,
( ~ empty(relation_rng(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( ~ empty(relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_56])]) ).
cnf(c_0_97,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| element(esk9_0,relation_dom(esk11_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_98,negated_conjecture,
( ~ empty(relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_96]),c_0_94]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
~ relation(relation_restriction(esk11_0,esk10_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_97]),c_0_91]),c_0_98]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_78]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU249+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:01:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.05/1.96 % Version: 3.5.1
% 10.05/1.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.05/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.05/1.96 % Starting new_bool_3 with 300s (1) cores
% 10.05/1.96 % Starting new_bool_1 with 300s (1) cores
% 10.05/1.96 % Starting sh5l with 300s (1) cores
% 10.05/1.96 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 336519 completed with status 0
% 10.05/1.96 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 10.05/1.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.05/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.05/1.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.05/1.96 % No SInE strategy applied
% 10.05/1.96 % Search class: FGHSM-FFMM31-SFFFFFNN
% 10.05/1.96 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.05/1.96 % Starting SubtermCWHack with 136s (1) cores
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 10.05/1.96 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 10.05/1.96 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 10.05/1.96 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 336529 completed with status 0
% 10.05/1.96 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 10.05/1.96 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.05/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.05/1.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.05/1.96 % No SInE strategy applied
% 10.05/1.96 % Search class: FGHSM-FFMM31-SFFFFFNN
% 10.05/1.96 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.05/1.96 % Starting SubtermCWHack with 136s (1) cores
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.05/1.96 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 10.05/1.96 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 10.05/1.96 % Preprocessing time : 0.004 s
% 10.05/1.96
% 10.05/1.96 % Proof found!
% 10.05/1.96 % SZS status Theorem
% 10.05/1.96 % SZS output start CNFRefutation
% See solution above
% 10.05/1.96 % Parsed axioms : 52
% 10.05/1.96 % Removed by relevancy pruning/SinE : 0
% 10.05/1.96 % Initial clauses : 74
% 10.05/1.96 % Removed in clause preprocessing : 11
% 10.05/1.96 % Initial clauses in saturation : 63
% 10.05/1.96 % Processed clauses : 2095
% 10.05/1.96 % ...of these trivial : 35
% 10.05/1.96 % ...subsumed : 1131
% 10.05/1.96 % ...remaining for further processing : 929
% 10.05/1.96 % Other redundant clauses eliminated : 21
% 10.05/1.96 % Clauses deleted for lack of memory : 0
% 10.05/1.96 % Backward-subsumed : 94
% 10.05/1.96 % Backward-rewritten : 53
% 10.05/1.96 % Generated clauses : 30833
% 10.05/1.96 % ...of the previous two non-redundant : 29617
% 10.05/1.96 % ...aggressively subsumed : 0
% 10.05/1.96 % Contextual simplify-reflections : 81
% 10.05/1.96 % Paramodulations : 30592
% 10.05/1.96 % Factorizations : 154
% 10.05/1.96 % NegExts : 0
% 10.05/1.96 % Equation resolutions : 87
% 10.05/1.96 % Disequality decompositions : 0
% 10.05/1.96 % Total rewrite steps : 8863
% 10.05/1.96 % ...of those cached : 8539
% 10.05/1.96 % Propositional unsat checks : 0
% 10.05/1.96 % Propositional check models : 0
% 10.05/1.96 % Propositional check unsatisfiable : 0
% 10.05/1.96 % Propositional clauses : 0
% 10.05/1.96 % Propositional clauses after purity: 0
% 10.05/1.96 % Propositional unsat core size : 0
% 10.05/1.96 % Propositional preprocessing time : 0.000
% 10.05/1.96 % Propositional encoding time : 0.000
% 10.05/1.96 % Propositional solver time : 0.000
% 10.05/1.96 % Success case prop preproc time : 0.000
% 10.05/1.96 % Success case prop encoding time : 0.000
% 10.05/1.96 % Success case prop solver time : 0.000
% 10.05/1.96 % Current number of processed clauses : 782
% 10.05/1.96 % Positive orientable unit clauses : 66
% 10.05/1.96 % Positive unorientable unit clauses: 2
% 10.05/1.96 % Negative unit clauses : 20
% 10.05/1.96 % Non-unit-clauses : 694
% 10.05/1.96 % Current number of unprocessed clauses: 27372
% 10.05/1.96 % ...number of literals in the above : 125336
% 10.05/1.96 % Current number of archived formulas : 0
% 10.05/1.96 % Current number of archived clauses : 147
% 10.05/1.96 % Clause-clause subsumption calls (NU) : 63065
% 10.05/1.96 % Rec. Clause-clause subsumption calls : 29744
% 10.05/1.96 % Non-unit clause-clause subsumptions : 886
% 10.05/1.96 % Unit Clause-clause subsumption calls : 4073
% 10.05/1.96 % Rewrite failures with RHS unbound : 0
% 10.05/1.96 % BW rewrite match attempts : 73
% 10.05/1.96 % BW rewrite match successes : 37
% 10.05/1.96 % Condensation attempts : 0
% 10.05/1.96 % Condensation successes : 0
% 10.05/1.96 % Termbank termtop insertions : 536406
% 10.05/1.96 % Search garbage collected termcells : 750
% 10.05/1.96
% 10.05/1.96 % -------------------------------------------------
% 10.05/1.96 % User time : 1.433 s
% 10.05/1.96 % System time : 0.063 s
% 10.05/1.96 % Total time : 1.496 s
% 10.05/1.96 % Maximum resident set size: 3620 pages
% 10.05/1.96
% 10.05/1.96 % -------------------------------------------------
% 10.05/1.96 % User time : 6.882 s
% 10.05/1.96 % System time : 0.280 s
% 10.05/1.96 % Total time : 7.162 s
% 10.05/1.96 % Maximum resident set size: 4608 pages
% 10.05/1.96 % E exiting
%------------------------------------------------------------------------------