%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU042+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n019.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 05:10:32 PM UTC 2026
% Result : Theorem 162.07s 120.30s
% Output : CNFRefutation 170.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_191)
% Comments :
%------------------------------------------------------------------------------
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(t84_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> one_to_one(relation_dom_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_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(fc5_relat_1,axiom,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t68_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_dom_restriction(X3,X1)
<=> ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_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(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(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(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(fc13_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation_empty_yielding(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& relation_empty_yielding(relation_dom_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_relat_1) ).
fof(fc4_funct_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(fc1_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_relat_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(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(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
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(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( empty(X1)
=> ( empty(relation_dom(X1))
& relation(relation_dom(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_relat_1,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc3_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_funct_1,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_41,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_42,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> one_to_one(relation_dom_restriction(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[t84_funct_1]) ).
fof(i_0_43,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_44,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(i_0_45,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_46,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_47,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_48,plain,
! [X79,X80,X81,X82,X83,X84,X85,X86] :
( ( in(X82,X79)
| ~ in(X82,X81)
| X81 != set_intersection2(X79,X80) )
& ( in(X82,X80)
| ~ in(X82,X81)
| X81 != set_intersection2(X79,X80) )
& ( ~ in(X83,X79)
| ~ in(X83,X80)
| in(X83,X81)
| X81 != set_intersection2(X79,X80) )
& ( ~ in(esk1_3(X84,X85,X86),X86)
| ~ in(esk1_3(X84,X85,X86),X84)
| ~ in(esk1_3(X84,X85,X86),X85)
| X86 = set_intersection2(X84,X85) )
& ( in(esk1_3(X84,X85,X86),X84)
| in(esk1_3(X84,X85,X86),X86)
| X86 = set_intersection2(X84,X85) )
& ( in(esk1_3(X84,X85,X86),X85)
| in(esk1_3(X84,X85,X86),X86)
| X86 = set_intersection2(X84,X85) ) ),
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_xboole_0])])])])])]) ).
fof(i_0_49,plain,
! [X133,X134,X135,X136] :
( ( relation_dom(X134) = set_intersection2(relation_dom(X135),X133)
| X134 != relation_dom_restriction(X135,X133)
| ~ relation(X135)
| ~ function(X135)
| ~ relation(X134)
| ~ function(X134) )
& ( ~ in(X136,relation_dom(X134))
| apply(X134,X136) = apply(X135,X136)
| X134 != relation_dom_restriction(X135,X133)
| ~ relation(X135)
| ~ function(X135)
| ~ relation(X134)
| ~ function(X134) )
& ( in(esk15_3(X133,X134,X135),relation_dom(X134))
| relation_dom(X134) != set_intersection2(relation_dom(X135),X133)
| X134 = relation_dom_restriction(X135,X133)
| ~ relation(X135)
| ~ function(X135)
| ~ relation(X134)
| ~ function(X134) )
& ( apply(X134,esk15_3(X133,X134,X135)) != apply(X135,esk15_3(X133,X134,X135))
| relation_dom(X134) != set_intersection2(relation_dom(X135),X133)
| X134 = relation_dom_restriction(X135,X133)
| ~ relation(X135)
| ~ function(X135)
| ~ relation(X134)
| ~ function(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t68_funct_1])])])])]) ).
fof(i_0_50,plain,
! [X88,X89,X90] :
( ( ~ one_to_one(X88)
| ~ in(X89,relation_dom(X88))
| ~ in(X90,relation_dom(X88))
| apply(X88,X89) != apply(X88,X90)
| X89 = X90
| ~ relation(X88)
| ~ function(X88) )
& ( in(esk2_1(X88),relation_dom(X88))
| one_to_one(X88)
| ~ relation(X88)
| ~ function(X88) )
& ( in(esk3_1(X88),relation_dom(X88))
| one_to_one(X88)
| ~ relation(X88)
| ~ function(X88) )
& ( apply(X88,esk2_1(X88)) = apply(X88,esk3_1(X88))
| one_to_one(X88)
| ~ relation(X88)
| ~ function(X88) )
& ( esk2_1(X88) != esk3_1(X88)
| one_to_one(X88)
| ~ relation(X88)
| ~ function(X88) ) ),
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])])])])]) ).
fof(i_0_51,plain,
! [X127,X128,X129] :
( ~ in(X127,X128)
| ~ element(X128,powerset(X129))
| element(X127,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_52,plain,
! [X130,X131,X132] :
( ~ in(X130,X131)
| ~ element(X131,powerset(X132))
| ~ empty(X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_53,plain,
! [X125,X126] :
( ( ~ element(X125,powerset(X126))
| subset(X125,X126) )
& ( ~ subset(X125,X126)
| element(X125,powerset(X126)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_54,plain,
! [X72,X73] :
( ~ in(X72,X73)
| ~ in(X73,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])]) ).
fof(i_0_55,plain,
! [X97,X98] :
( ( relation(relation_dom_restriction(X97,X98))
| ~ relation(X97)
| ~ relation_empty_yielding(X97) )
& ( relation_empty_yielding(relation_dom_restriction(X97,X98))
| ~ relation(X97)
| ~ relation_empty_yielding(X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_relat_1])])]) ).
fof(i_0_56,plain,
! [X102,X103] :
( ( relation(relation_dom_restriction(X102,X103))
| ~ relation(X102)
| ~ function(X102) )
& ( function(relation_dom_restriction(X102,X103))
| ~ relation(X102)
| ~ function(X102) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])]) ).
fof(i_0_57,plain,
! [X99,X100] :
( ~ relation(X99)
| ~ relation(X100)
| relation(set_intersection2(X99,X100)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_relat_1])]) ).
fof(i_0_58,plain,
! [X123,X124] :
( ~ element(X123,X124)
| empty(X124)
| in(X123,X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_59,negated_conjecture,
( relation(esk17_0)
& function(esk17_0)
& one_to_one(esk17_0)
& ~ one_to_one(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_42])])]) ).
fof(i_0_60,plain,
! [X93,X94] :
( ~ relation(X93)
| relation(relation_dom_restriction(X93,X94)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).
fof(i_0_61,plain,
! [X120,X121] :
( ~ in(X120,X121)
| element(X120,X121) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_62,plain,
! [X109] :
( ( element(esk7_1(X109),powerset(X109))
| empty(X109) )
& ( ~ empty(esk7_1(X109))
| empty(X109) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_43])])])]) ).
fof(i_0_63,plain,
! [X139,X140] :
( ~ in(X139,X140)
| ~ empty(X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_64,plain,
! [X104] :
( empty(X104)
| ~ relation(X104)
| ~ empty(relation_dom(X104)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])]) ).
fof(i_0_65,plain,
! [X77,X78] : set_intersection2(X77,X78) = set_intersection2(X78,X77),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_66,plain,
! [X114] :
( element(esk11_1(X114),powerset(X114))
& empty(esk11_1(X114)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_67,plain,
! [X76] :
( ( relation(X76)
| ~ relation(X76)
| ~ empty(X76)
| ~ function(X76) )
& ( function(X76)
| ~ relation(X76)
| ~ empty(X76)
| ~ function(X76) )
& ( one_to_one(X76)
| ~ relation(X76)
| ~ empty(X76)
| ~ function(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_68,plain,
! [X95] : element(esk4_1(X95),X95),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_69,plain,
! [X105] :
( ( empty(relation_dom(X105))
| ~ empty(X105) )
& ( relation(relation_dom(X105))
| ~ empty(X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
fof(i_0_70,plain,
! [X101] : ~ empty(powerset(X101)),
inference(variable_rename,[status(thm)],[i_0_45]) ).
fof(i_0_71,plain,
! [X143,X144] :
( ~ empty(X143)
| X143 = X144
| ~ empty(X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_72,plain,
! [X106] : set_intersection2(X106,X106) = X106,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_73,plain,
! [X119] : subset(X119,X119),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_74,plain,
! [X122] : set_intersection2(X122,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_75,plain,
! [X75] :
( ~ empty(X75)
| relation(X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_76,plain,
! [X74] :
( ~ empty(X74)
| function(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_77,plain,
! [X138] :
( ~ empty(X138)
| X138 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_78,plain,
~ empty(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_46])]) ).
fof(i_0_79,plain,
( ~ empty(esk10_0)
& relation(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_47])]) ).
fof(i_0_80,plain,
( relation(esk14_0)
& relation_empty_yielding(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_81,plain,
( relation(esk13_0)
& function(esk13_0)
& one_to_one(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_82,plain,
( relation(esk9_0)
& empty(esk9_0)
& function(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_83,plain,
( empty(esk6_0)
& relation(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_84,plain,
( relation(esk5_0)
& function(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_85,plain,
empty(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_86,plain,
( X3 = set_intersection2(X1,X2)
| ~ in(esk1_3(X1,X2,X3),X3)
| ~ in(esk1_3(X1,X2,X3),X1)
| ~ in(esk1_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_87,plain,
( X1 = relation_dom_restriction(X3,X2)
| apply(X1,esk15_3(X2,X1,X3)) != apply(X3,esk15_3(X2,X1,X3))
| relation_dom(X1) != set_intersection2(relation_dom(X3),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_88,plain,
( in(esk1_3(X1,X2,X3),X1)
| in(esk1_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_89,plain,
( in(esk1_3(X1,X2,X3),X2)
| in(esk1_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_90,plain,
( in(esk15_3(X1,X2,X3),relation_dom(X2))
| X2 = relation_dom_restriction(X3,X1)
| relation_dom(X2) != set_intersection2(relation_dom(X3),X1)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_91,plain,
( X2 = X3
| ~ one_to_one(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X3,relation_dom(X1))
| apply(X1,X2) != apply(X1,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_92,plain,
( apply(X2,X1) = apply(X3,X1)
| ~ in(X1,relation_dom(X2))
| X2 != relation_dom_restriction(X3,X4)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_93,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_94,plain,
( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
| X1 != relation_dom_restriction(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_95,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_96,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_97,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_98,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_99,plain,
( apply(X1,esk2_1(X1)) = apply(X1,esk3_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_100,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_101,plain,
( in(esk3_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_102,plain,
( in(esk2_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_103,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_104,plain,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ relation_empty_yielding(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_105,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ relation_empty_yielding(X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_106,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_107,plain,
( relation(set_intersection2(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_108,plain,
( function(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_109,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_110,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_111,negated_conjecture,
~ one_to_one(relation_dom_restriction(esk17_0,esk16_0)),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_112,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_113,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_114,plain,
( one_to_one(X1)
| esk2_1(X1) != esk3_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_115,plain,
( element(esk7_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_116,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_117,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_118,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_119,plain,
element(esk11_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_120,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_121,plain,
( empty(X1)
| ~ empty(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_122,plain,
element(esk4_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_123,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_124,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_125,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_126,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_127,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_128,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_129,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_130,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_131,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_132,plain,
empty(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_133,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_134,plain,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_135,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_136,plain,
relation_empty_yielding(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_137,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_138,negated_conjecture,
one_to_one(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_139,plain,
one_to_one(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_140,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_141,plain,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_142,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_143,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_144,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_145,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_146,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_147,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_148,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_149,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_150,plain,
function(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_151,plain,
function(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_152,plain,
function(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_153,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_154,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_155,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_156,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_157,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_158,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_159,axiom,
X1 = X1 ).
cnf(i_0_160,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_161,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_162,axiom,
( X1 != X2
| set_intersection2(X1,X3) = set_intersection2(X2,X3) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| set_intersection2(X3,X1) = set_intersection2(X3,X2) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| relation_dom_restriction(X1,X3) = relation_dom_restriction(X2,X3) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| relation_dom_restriction(X3,X1) = relation_dom_restriction(X3,X2) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| apply(X1,X3) = apply(X2,X3) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| apply(X3,X1) = apply(X3,X2) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| relation_dom(X1) = relation_dom(X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| esk2_1(X1) = esk2_1(X2) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| esk3_1(X1) = esk3_1(X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_1279,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_1282,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_1294,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1307,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1313,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1358,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1360,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1362,plain,
subset(esk11_1(X1),X1),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_1377,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1382,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1444,plain,
subset(esk4_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1457,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1459,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1461,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1531,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1533,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1550,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1618,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1620,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1622,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1684,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1686,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1699,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1786,plain,
subset(esk4_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_1790,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1792,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1854,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1856,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1863,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_1924,plain,
subset(esk11_1(X1),X1),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_1931,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2017,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2019,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2023,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2028,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2033,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2118,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2122,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2192,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2194,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2196,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2198,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2201,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2270,plain,
subset(esk4_1(powerset(X1)),X1),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_2335,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2337,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2343,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2468,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2470,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2476,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2478,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2540,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2542,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2600,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2602,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2609,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2612,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2748,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2753,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2756,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_2827,plain,
subset(esk11_1(X1),X1),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_2904,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_3050,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_3055,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_3131,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_229,plain,
~ in(powerset(X1),esk11_1(X1)),
inference(equality_inference,[],[222]) ).
cnf(i_0_233,plain,
~ in(set_intersection2(powerset(X1),powerset(X1)),esk11_1(X1)),
inference(scs_inference,[],[i_0_214,i_0_122,i_0_100,i_0_103]) ).
cnf(i_0_235,plain,
~ in(X1,esk6_0),
inference(scs_inference,[],[i_0_214,i_0_122,i_0_155,i_0_100,i_0_103,i_0_116]) ).
cnf(i_0_237,plain,
~ in(powerset(X1),set_intersection2(esk11_1(X1),X2)),
inference(scs_inference,[],[i_0_218,i_0_214,i_0_122,i_0_155,i_0_100,i_0_103,i_0_116,i_0_186]) ).
cnf(i_0_239,plain,
~ in(powerset(X1),set_intersection2(X2,esk11_1(X1))),
inference(scs_inference,[],[i_0_218,i_0_214,i_0_122,i_0_155,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187]) ).
cnf(i_0_241,plain,
relation(esk11_1(X1)),
inference(scs_inference,[],[i_0_218,i_0_214,i_0_122,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130]) ).
cnf(i_0_243,plain,
function(esk6_0),
inference(scs_inference,[],[i_0_218,i_0_214,i_0_122,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131]) ).
cnf(i_0_245,plain,
empty_set = set_intersection2(empty_set,X1),
inference(scs_inference,[],[i_0_204,i_0_218,i_0_214,i_0_122,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160]) ).
cnf(i_0_246,plain,
~ in(powerset(X1),empty_set),
inference(scs_inference,[],[i_0_204,i_0_218,i_0_214,i_0_122,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98]) ).
cnf(i_0_248,plain,
~ in(X1,esk4_1(powerset(esk6_0))),
inference(scs_inference,[],[i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96]) ).
cnf(i_0_251,plain,
in(esk4_1(esk10_0),esk10_0),
inference(scs_inference,[],[i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110]) ).
cnf(i_0_254,plain,
in(esk4_1(esk10_0),set_intersection2(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184]) ).
cnf(i_0_256,plain,
relation(set_intersection2(set_intersection2(esk17_0,esk17_0),set_intersection2(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_188,i_0_201,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173]) ).
cnf(i_0_258,plain,
function(set_intersection2(set_intersection2(esk17_0,esk17_0),set_intersection2(esk17_0,esk17_0))),
inference(scs_inference,[],[i_0_188,i_0_257,i_0_202,i_0_201,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174]) ).
cnf(i_0_260,plain,
esk9_0 != relation_dom_restriction(esk17_0,esk16_0),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175]) ).
cnf(i_0_261,plain,
esk6_0 != esk10_0,
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178]) ).
cnf(i_0_262,plain,
relation_empty_yielding(set_intersection2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181]) ).
cnf(i_0_264,plain,
set_intersection2(empty_set,esk11_1(X1)) = set_intersection2(empty_set,empty_set),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_263,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_155,i_0_132,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181,i_0_161]) ).
cnf(i_0_266,plain,
set_intersection2(empty_set,X1) = empty_set,
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_267,plain,
~ in(X1,set_intersection2(esk11_1(esk9_0),esk11_1(esk9_0))),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_263,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_208,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_155,i_0_132,i_0_127,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181,i_0_161,i_0_172]) ).
cnf(i_0_269,plain,
~ in(set_intersection2(powerset(X1),powerset(X1)),set_intersection2(esk11_1(X1),X2)),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_263,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_208,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_155,i_0_132,i_0_127,i_0_268,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181,i_0_161,i_0_172,i_0_171]) ).
cnf(i_0_271,plain,
one_to_one(esk6_0),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_263,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_208,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_145,i_0_155,i_0_132,i_0_127,i_0_268,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181,i_0_161,i_0_172,i_0_171,i_0_120]) ).
cnf(i_0_273,plain,
element(esk4_1(esk10_0),set_intersection2(esk10_0,esk10_0)),
inference(scs_inference,[],[i_0_111,i_0_188,i_0_257,i_0_259,i_0_263,i_0_202,i_0_201,i_0_216,i_0_204,i_0_218,i_0_214,i_0_208,i_0_122,i_0_231,i_0_249,i_0_135,i_0_137,i_0_145,i_0_155,i_0_132,i_0_127,i_0_268,i_0_100,i_0_103,i_0_116,i_0_186,i_0_187,i_0_130,i_0_131,i_0_160,i_0_98,i_0_96,i_0_110,i_0_184,i_0_173,i_0_174,i_0_175,i_0_178,i_0_181,i_0_161,i_0_172,i_0_171,i_0_120,i_0_113]) ).
cnf(i_0_715,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk9_0,X3))),
inference(scs_inference,[],[i_0_197,i_0_187]) ).
cnf(i_0_717,plain,
~ in(X1,set_intersection2(set_intersection2(esk9_0,X2),X3)),
inference(scs_inference,[],[i_0_197,i_0_187,i_0_186]) ).
cnf(i_0_724,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,esk9_0))),
inference(scs_inference,[],[i_0_199,i_0_187]) ).
cnf(i_0_726,plain,
~ in(X1,set_intersection2(set_intersection2(X2,esk9_0),X3)),
inference(scs_inference,[],[i_0_199,i_0_187,i_0_186]) ).
cnf(i_0_872,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,esk11_1(X4)))),
inference(scs_inference,[],[i_0_767,i_0_187]) ).
cnf(i_0_874,plain,
~ in(X1,set_intersection2(set_intersection2(X2,esk11_1(X3)),X4)),
inference(scs_inference,[],[i_0_767,i_0_187,i_0_186]) ).
cnf(i_0_902,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,esk8_0))),
inference(scs_inference,[],[i_0_782,i_0_187]) ).
cnf(i_0_904,plain,
~ in(X1,set_intersection2(set_intersection2(X2,esk8_0),X3)),
inference(scs_inference,[],[i_0_782,i_0_187,i_0_186]) ).
cnf(i_0_917,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk8_0,X3))),
inference(scs_inference,[],[i_0_784,i_0_187]) ).
cnf(i_0_919,plain,
~ in(X1,set_intersection2(set_intersection2(esk8_0,X2),X3)),
inference(scs_inference,[],[i_0_784,i_0_187,i_0_186]) ).
cnf(i_0_1449,plain,
~ in(X1,set_intersection2(X2,esk11_1(X3))),
inference(rename_variables,[],[i_0_767]) ).
cnf(i_0_281,plain,
~ in(X1,set_intersection2(set_intersection2(esk11_1(esk9_0),esk11_1(esk9_0)),X2)),
inference(scs_inference,[],[i_0_267,i_0_158,i_0_116,i_0_186]) ).
cnf(i_0_283,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk11_1(esk9_0),esk11_1(esk9_0)))),
inference(scs_inference,[],[i_0_267,i_0_158,i_0_116,i_0_186,i_0_187]) ).
cnf(i_0_285,plain,
~ in(set_intersection2(esk10_0,esk10_0),esk4_1(esk10_0)),
inference(scs_inference,[],[i_0_267,i_0_254,i_0_158,i_0_116,i_0_186,i_0_187,i_0_103]) ).
cnf(i_0_287,plain,
function(empty_set),
inference(scs_inference,[],[i_0_267,i_0_254,i_0_158,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131]) ).
cnf(i_0_289,plain,
set_intersection2(empty_set,empty_set) = set_intersection2(empty_set,esk11_1(X1)),
inference(scs_inference,[],[i_0_267,i_0_264,i_0_254,i_0_158,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160]) ).
cnf(i_0_290,plain,
~ in(powerset(X1),set_intersection2(empty_set,esk11_1(X2))),
inference(scs_inference,[],[i_0_267,i_0_264,i_0_246,i_0_254,i_0_158,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98]) ).
cnf(i_0_292,plain,
~ in(powerset(X1),set_intersection2(empty_set,empty_set)),
inference(scs_inference,[],[i_0_267,i_0_264,i_0_246,i_0_254,i_0_158,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97]) ).
cnf(i_0_294,plain,
~ in(X1,esk4_1(powerset(empty_set))),
inference(scs_inference,[],[i_0_267,i_0_264,i_0_246,i_0_254,i_0_158,i_0_122,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96]) ).
cnf(i_0_297,plain,
in(esk4_1(esk12_0),esk12_0),
inference(scs_inference,[],[i_0_267,i_0_264,i_0_246,i_0_254,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110]) ).
cnf(i_0_302,plain,
empty_set != esk12_0,
inference(scs_inference,[],[i_0_267,i_0_264,i_0_246,i_0_254,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178]) ).
cnf(i_0_305,plain,
relation(set_intersection2(esk11_1(X1),esk11_1(X1))),
inference(scs_inference,[],[i_0_188,i_0_304,i_0_267,i_0_264,i_0_241,i_0_246,i_0_254,i_0_262,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173]) ).
cnf(i_0_307,plain,
function(set_intersection2(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_241,i_0_246,i_0_254,i_0_262,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174]) ).
cnf(i_0_309,plain,
esk6_0 != relation_dom_restriction(esk17_0,esk16_0),
inference(scs_inference,[],[i_0_111,i_0_271,i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_241,i_0_246,i_0_254,i_0_262,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174,i_0_175]) ).
cnf(i_0_310,plain,
set_intersection2(empty_set,X1) = set_intersection2(empty_set,X2),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_271,i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_204,i_0_241,i_0_246,i_0_254,i_0_262,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174,i_0_175,i_0_161]) ).
cnf(i_0_311,plain,
~ in(X1,set_intersection2(esk6_0,esk6_0)),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_271,i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_204,i_0_241,i_0_235,i_0_246,i_0_254,i_0_262,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_127,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174,i_0_175,i_0_161,i_0_172]) ).
cnf(i_0_313,plain,
~ in(set_intersection2(powerset(X1),powerset(X1)),set_intersection2(X2,esk11_1(X1))),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_271,i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_204,i_0_241,i_0_239,i_0_235,i_0_246,i_0_254,i_0_262,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_127,i_0_312,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174,i_0_175,i_0_161,i_0_172,i_0_171]) ).
cnf(i_0_315,plain,
one_to_one(empty_set),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_271,i_0_188,i_0_304,i_0_306,i_0_267,i_0_264,i_0_204,i_0_241,i_0_239,i_0_235,i_0_246,i_0_254,i_0_262,i_0_148,i_0_150,i_0_158,i_0_122,i_0_295,i_0_134,i_0_127,i_0_312,i_0_116,i_0_186,i_0_187,i_0_103,i_0_131,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_173,i_0_174,i_0_175,i_0_161,i_0_172,i_0_171,i_0_120]) ).
cnf(i_0_394,plain,
relation(esk11_1(X1)),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_503,plain,
empty_set = set_intersection2(empty_set,X1),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_548,plain,
~ in(X1,esk6_0),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_747,plain,
~ in(powerset(X1),set_intersection2(X2,set_intersection2(esk11_1(X1),X3))),
inference(scs_inference,[],[i_0_237,i_0_187]) ).
cnf(i_0_749,plain,
~ in(powerset(X1),set_intersection2(set_intersection2(X2,esk11_1(X1)),X3)),
inference(scs_inference,[],[i_0_237,i_0_239,i_0_187,i_0_186]) ).
cnf(i_0_762,plain,
~ in(powerset(X1),set_intersection2(X2,set_intersection2(X3,esk11_1(X1)))),
inference(scs_inference,[],[i_0_239,i_0_187]) ).
cnf(i_0_764,plain,
~ in(X1,set_intersection2(esk11_1(X2),X3)),
inference(scs_inference,[],[i_0_239,i_0_323,i_0_187,i_0_186]) ).
cnf(i_0_787,plain,
~ in(X1,set_intersection2(X2,esk6_0)),
inference(scs_inference,[],[i_0_235,i_0_187]) ).
cnf(i_0_789,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(esk9_0,X3)),X4)),
inference(scs_inference,[],[i_0_235,i_0_715,i_0_187,i_0_186]) ).
cnf(i_0_792,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(esk9_0,X3),X4))),
inference(scs_inference,[],[i_0_717,i_0_187]) ).
cnf(i_0_794,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(esk9_0,X2),X3),X4)),
inference(scs_inference,[],[i_0_717,i_0_187,i_0_186]) ).
cnf(i_0_797,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(esk9_0,X4)))),
inference(scs_inference,[],[i_0_715,i_0_187]) ).
cnf(i_0_807,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(X4,esk9_0)))),
inference(scs_inference,[],[i_0_724,i_0_187]) ).
cnf(i_0_809,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(X3,esk9_0)),X4)),
inference(scs_inference,[],[i_0_724,i_0_187,i_0_186]) ).
cnf(i_0_812,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(X3,esk9_0),X4))),
inference(scs_inference,[],[i_0_726,i_0_187]) ).
cnf(i_0_814,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(X2,esk9_0),X3),X4)),
inference(scs_inference,[],[i_0_726,i_0_187,i_0_186]) ).
cnf(i_0_832,plain,
~ in(X1,set_intersection2(X2,esk4_1(powerset(esk6_0)))),
inference(scs_inference,[],[i_0_248,i_0_187]) ).
cnf(i_0_834,plain,
~ in(X1,set_intersection2(esk4_1(powerset(esk6_0)),X2)),
inference(scs_inference,[],[i_0_248,i_0_187,i_0_186]) ).
cnf(i_0_907,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(X4,esk8_0)))),
inference(scs_inference,[],[i_0_902,i_0_187]) ).
cnf(i_0_909,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(X3,esk8_0)),X4)),
inference(scs_inference,[],[i_0_902,i_0_187,i_0_186]) ).
cnf(i_0_912,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(X3,esk8_0),X4))),
inference(scs_inference,[],[i_0_904,i_0_187]) ).
cnf(i_0_914,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(X2,esk8_0),X3),X4)),
inference(scs_inference,[],[i_0_904,i_0_187,i_0_186]) ).
cnf(i_0_922,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(esk8_0,X4)))),
inference(scs_inference,[],[i_0_917,i_0_187]) ).
cnf(i_0_924,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(esk8_0,X3)),X4)),
inference(scs_inference,[],[i_0_917,i_0_187,i_0_186]) ).
cnf(i_0_927,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(esk8_0,X3),X4))),
inference(scs_inference,[],[i_0_919,i_0_187]) ).
cnf(i_0_929,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(esk8_0,X2),X3),X4)),
inference(scs_inference,[],[i_0_919,i_0_187,i_0_186]) ).
cnf(i_0_1379,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,esk11_1(X4)))),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1624,plain,
~ in(X1,set_intersection2(set_intersection2(X2,esk11_1(X3)),X4)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_1774,plain,
~ in(X1,esk4_1(powerset(esk6_0))),
inference(rename_variables,[],[i_0_248]) ).
cnf(i_0_2175,plain,
relation(esk11_1(X1)),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_3066,plain,
relation(esk11_1(X1)),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_3142,plain,
relation(esk11_1(X1)),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_325,plain,
~ in(X1,set_intersection2(set_intersection2(esk6_0,esk6_0),X2)),
inference(scs_inference,[],[i_0_311,i_0_132,i_0_116,i_0_186]) ).
cnf(i_0_327,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk6_0,esk6_0))),
inference(scs_inference,[],[i_0_311,i_0_132,i_0_116,i_0_186,i_0_187]) ).
cnf(i_0_329,plain,
function(esk11_1(X1)),
inference(scs_inference,[],[i_0_311,i_0_132,i_0_116,i_0_186,i_0_187,i_0_131]) ).
cnf(i_0_333,plain,
empty_set = set_intersection2(X1,empty_set),
inference(scs_inference,[],[i_0_311,i_0_132,i_0_300,i_0_129,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160]) ).
cnf(i_0_334,plain,
~ in(set_intersection2(powerset(X1),powerset(X1)),set_intersection2(empty_set,X2)),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_311,i_0_132,i_0_300,i_0_129,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98]) ).
cnf(i_0_335,plain,
set_intersection2(empty_set,X1) = set_intersection2(empty_set,X2),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_431,plain,
relation(set_intersection2(esk11_1(X1),esk11_1(X1))),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_628,plain,
~ in(set_intersection2(powerset(X1),powerset(X1)),set_intersection2(X2,esk11_1(X1))),
inference(rename_variables,[],[i_0_313]) ).
cnf(i_0_837,plain,
~ in(X1,set_intersection2(X2,esk4_1(powerset(empty_set)))),
inference(scs_inference,[],[i_0_294,i_0_187]) ).
cnf(i_0_839,plain,
~ in(X1,set_intersection2(esk4_1(powerset(empty_set)),X2)),
inference(scs_inference,[],[i_0_294,i_0_187,i_0_186]) ).
cnf(i_0_932,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,esk6_0))),
inference(scs_inference,[],[i_0_787,i_0_187]) ).
cnf(i_0_934,plain,
~ in(X1,set_intersection2(set_intersection2(X2,esk6_0),X3)),
inference(scs_inference,[],[i_0_787,i_0_187,i_0_186]) ).
cnf(i_0_947,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk11_1(X3),X4))),
inference(scs_inference,[],[i_0_764,i_0_187]) ).
cnf(i_0_1364,plain,
~ in(X1,set_intersection2(esk11_1(X2),X3)),
inference(rename_variables,[],[i_0_764]) ).
cnf(i_0_1867,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(esk9_0,X3)),X4)),
inference(rename_variables,[],[i_0_789]) ).
cnf(i_0_2278,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(esk9_0,X3),X4))),
inference(rename_variables,[],[i_0_792]) ).
cnf(i_0_2414,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(esk9_0,X2),X3),X4)),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_2544,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(esk9_0,X4)))),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2917,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(X4,esk9_0)))),
inference(rename_variables,[],[i_0_807]) ).
cnf(i_0_2984,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(X3,esk9_0)),X4)),
inference(rename_variables,[],[i_0_809]) ).
cnf(i_0_3137,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(X3,esk9_0),X4))),
inference(rename_variables,[],[i_0_812]) ).
cnf(i_0_337,plain,
~ in(X1,set_intersection2(empty_set,X2)),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_129,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97]) ).
cnf(i_0_339,plain,
~ in(X1,esk4_1(powerset(esk11_1(X2)))),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_129,i_0_122,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96]) ).
cnf(i_0_342,plain,
in(esk4_1(powerset(X1)),powerset(X1)),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110]) ).
cnf(i_0_345,plain,
in(esk4_1(esk12_0),set_intersection2(esk12_0,esk12_0)),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184]) ).
cnf(i_0_347,plain,
esk11_1(X1) != powerset(X2),
inference(scs_inference,[],[i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178]) ).
cnf(i_0_348,plain,
relation_empty_yielding(set_intersection2(esk14_0,esk14_0)),
inference(scs_inference,[],[i_0_188,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181]) ).
cnf(i_0_350,plain,
empty_set != relation_dom_restriction(esk17_0,esk16_0),
inference(scs_inference,[],[i_0_111,i_0_315,i_0_188,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175]) ).
cnf(i_0_351,plain,
relation(set_intersection2(esk14_0,esk14_0)),
inference(scs_inference,[],[i_0_111,i_0_315,i_0_188,i_0_349,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_141,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173]) ).
cnf(i_0_353,plain,
function(set_intersection2(set_intersection2(esk13_0,esk13_0),set_intersection2(esk13_0,esk13_0))),
inference(scs_inference,[],[i_0_111,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_141,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174]) ).
cnf(i_0_355,plain,
empty_set = set_intersection2(set_intersection2(empty_set,X1),set_intersection2(empty_set,X1)),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_354,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_279,i_0_297,i_0_141,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174,i_0_161]) ).
cnf(i_0_357,plain,
~ in(set_intersection2(esk10_0,esk10_0),set_intersection2(esk4_1(esk10_0),esk4_1(esk10_0))),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_354,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_285,i_0_279,i_0_297,i_0_141,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_127,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174,i_0_161,i_0_172]) ).
cnf(i_0_359,plain,
~ in(esk10_0,esk4_1(esk10_0)),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_354,i_0_356,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_300,i_0_285,i_0_279,i_0_297,i_0_141,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_127,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174,i_0_161,i_0_172,i_0_171]) ).
cnf(i_0_361,plain,
one_to_one(esk8_0),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_354,i_0_356,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_154,i_0_300,i_0_285,i_0_279,i_0_297,i_0_141,i_0_193,i_0_195,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_127,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174,i_0_161,i_0_172,i_0_171,i_0_120]) ).
cnf(i_0_363,plain,
element(esk4_1(esk12_0),set_intersection2(esk12_0,esk12_0)),
inference(scs_inference,[],[i_0_111,i_0_245,i_0_307,i_0_315,i_0_188,i_0_349,i_0_352,i_0_354,i_0_356,i_0_269,i_0_310,i_0_335,i_0_311,i_0_132,i_0_154,i_0_300,i_0_285,i_0_279,i_0_297,i_0_141,i_0_193,i_0_195,i_0_136,i_0_125,i_0_129,i_0_122,i_0_340,i_0_127,i_0_116,i_0_186,i_0_187,i_0_131,i_0_103,i_0_160,i_0_98,i_0_97,i_0_96,i_0_110,i_0_184,i_0_178,i_0_181,i_0_175,i_0_173,i_0_174,i_0_161,i_0_172,i_0_171,i_0_120,i_0_113]) ).
cnf(i_0_937,plain,
~ in(X1,set_intersection2(X2,set_intersection2(X3,set_intersection2(X4,esk6_0)))),
inference(scs_inference,[],[i_0_932,i_0_187]) ).
cnf(i_0_939,plain,
~ in(X1,set_intersection2(set_intersection2(X2,set_intersection2(X3,esk6_0)),X4)),
inference(scs_inference,[],[i_0_932,i_0_187,i_0_186]) ).
cnf(i_0_942,plain,
~ in(X1,set_intersection2(X2,set_intersection2(set_intersection2(X3,esk6_0),X4))),
inference(scs_inference,[],[i_0_934,i_0_187]) ).
cnf(i_0_944,plain,
~ in(X1,set_intersection2(set_intersection2(set_intersection2(X2,esk6_0),X3),X4)),
inference(scs_inference,[],[i_0_934,i_0_187,i_0_186]) ).
cnf(i_0_1701,plain,
~ in(X1,set_intersection2(X2,set_intersection2(esk11_1(X3),X4))),
inference(rename_variables,[],[i_0_947]) ).
cnf(i_0_3067,plain,
function(esk11_1(X1)),
inference(rename_variables,[],[i_0_329]) ).
cnf(i_0_372,plain,
~ in(powerset(X1),esk4_1(powerset(X1))),
inference(scs_inference,[],[i_0_357,i_0_154,i_0_342,i_0_116,i_0_186,i_0_187,i_0_103]) ).
cnf(i_0_374,plain,
set_intersection2(set_intersection2(empty_set,X1),set_intersection2(empty_set,X1)) = empty_set,
inference(scs_inference,[],[i_0_357,i_0_355,i_0_154,i_0_342,i_0_116,i_0_186,i_0_187,i_0_103,i_0_160]) ).
cnf(i_0_375,plain,
~ in(X1,esk4_1(powerset(esk8_0))),
inference(scs_inference,[],[i_0_357,i_0_355,i_0_154,i_0_342,i_0_122,i_0_116,i_0_186,i_0_187,i_0_103,i_0_160,i_0_96]) ).
cnf(i_0_378,plain,
in(esk4_1(powerset(X1)),set_intersection2(powerset(X1),powerset(X1))),
inference(scs_inference,[],[i_0_357,i_0_355,i_0_154,i_0_342,i_0_122,i_0_116,i_0_186,i_0_187,i_0_103,i_0_160,i_0_96,i_0_184]) ).
cnf(i_0_380,plain,
esk8_0 != esk10_0,
inference(scs_inference,[],[i_0_357,i_0_355,i_0_154,i_0_342,i_0_135,i_0_122,i_0_116,i_0_186,i_0_187,i_0_103,i_0_160,i_0_96,i_0_184,i_0_178]) ).
cnf(i_0_383,plain,
esk8_0 != relation_dom_restriction(esk17_0,esk16_0),
inference(scs_inference,[],[i_0_111,i_0_361,i_0_188,i_0_357,i_0_355,i_0_154,i_0_342,i_0_348,i_0_135,i_0_122,i_0_116,i_0_186,i_0_187,i_0_103,i_0_160,i_0_96,i_0_184,i_0_178,i_0_181,i_0_175]) ).
cnf(c_0_164,negated_conjecture,
~ one_to_one(relation_dom_restriction(esk17_0,esk16_0)),
i_0_111 ).
cnf(c_0_165,plain,
( in(esk2_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_102 ).
cnf(c_0_166,negated_conjecture,
( in(esk2_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0)))
| ~ function(relation_dom_restriction(esk17_0,esk16_0))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_167,plain,
( function(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ function(X1) ),
i_0_108 ).
cnf(c_0_168,negated_conjecture,
function(esk17_0),
i_0_149 ).
cnf(c_0_169,negated_conjecture,
relation(esk17_0),
i_0_140 ).
cnf(c_0_170,plain,
( in(esk3_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_101 ).
cnf(c_0_171,plain,
( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
| X1 != relation_dom_restriction(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
i_0_94 ).
cnf(c_0_172,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
i_0_112 ).
cnf(c_0_173,plain,
( apply(X1,esk2_1(X1)) = apply(X1,esk3_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_99 ).
cnf(c_0_174,plain,
( apply(X1,X2) = apply(X3,X2)
| ~ in(X2,relation_dom(X1))
| X1 != relation_dom_restriction(X3,X4)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
i_0_92 ).
cnf(c_0_175,plain,
( in(esk2_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0)))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_169])]) ).
cnf(c_0_176,negated_conjecture,
( in(esk3_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0)))
| ~ function(relation_dom_restriction(esk17_0,esk16_0))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_170]) ).
cnf(c_0_177,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
i_0_97 ).
cnf(c_0_178,plain,
( set_intersection2(relation_dom(X1),X2) = relation_dom(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_171]),c_0_172]),c_0_167]) ).
cnf(c_0_179,negated_conjecture,
( apply(relation_dom_restriction(esk17_0,esk16_0),esk2_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(relation_dom_restriction(esk17_0,esk16_0),esk3_1(relation_dom_restriction(esk17_0,esk16_0)))
| ~ function(relation_dom_restriction(esk17_0,esk16_0))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_173]) ).
cnf(c_0_180,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_174]),c_0_172]),c_0_167]) ).
cnf(c_0_181,plain,
in(esk2_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_172]),c_0_169])]) ).
cnf(c_0_182,plain,
( in(esk3_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0)))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_167]),c_0_168]),c_0_169])]) ).
cnf(c_0_183,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_177]) ).
cnf(c_0_184,negated_conjecture,
set_intersection2(relation_dom(esk17_0),X1) = relation_dom(relation_dom_restriction(esk17_0,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_168]),c_0_169])]) ).
cnf(c_0_185,plain,
( apply(relation_dom_restriction(esk17_0,esk16_0),esk2_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(relation_dom_restriction(esk17_0,esk16_0),esk3_1(relation_dom_restriction(esk17_0,esk16_0)))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_167]),c_0_168]),c_0_169])]) ).
cnf(c_0_186,plain,
apply(relation_dom_restriction(esk17_0,esk16_0),esk2_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(esk17_0,esk2_1(relation_dom_restriction(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_168]),c_0_169])]) ).
cnf(c_0_187,plain,
in(esk3_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(relation_dom_restriction(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_172]),c_0_169])]) ).
cnf(c_0_188,plain,
( one_to_one(X1)
| esk2_1(X1) != esk3_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_114 ).
cnf(c_0_189,plain,
( in(X1,relation_dom(esk17_0))
| ~ in(X1,relation_dom(relation_dom_restriction(esk17_0,X2))) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_190,plain,
( apply(relation_dom_restriction(esk17_0,esk16_0),esk3_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(esk17_0,esk2_1(relation_dom_restriction(esk17_0,esk16_0)))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(rw,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_191,plain,
apply(relation_dom_restriction(esk17_0,esk16_0),esk3_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(esk17_0,esk3_1(relation_dom_restriction(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_187]),c_0_168]),c_0_169])]) ).
cnf(c_0_192,negated_conjecture,
( esk2_1(relation_dom_restriction(esk17_0,esk16_0)) != esk3_1(relation_dom_restriction(esk17_0,esk16_0))
| ~ function(relation_dom_restriction(esk17_0,esk16_0))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_188]) ).
cnf(c_0_193,plain,
( X1 = X2
| ~ one_to_one(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(X2,relation_dom(X3))
| apply(X3,X1) != apply(X3,X2)
| ~ relation(X3)
| ~ function(X3) ),
i_0_91 ).
cnf(c_0_194,plain,
in(esk3_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(esk17_0)),
inference(spm,[status(thm)],[c_0_189,c_0_187]) ).
cnf(c_0_195,negated_conjecture,
one_to_one(esk17_0),
i_0_138 ).
cnf(c_0_196,plain,
( apply(esk17_0,esk2_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(esk17_0,esk3_1(relation_dom_restriction(esk17_0,esk16_0)))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(rw,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,plain,
( esk2_1(relation_dom_restriction(esk17_0,esk16_0)) != esk3_1(relation_dom_restriction(esk17_0,esk16_0))
| ~ relation(relation_dom_restriction(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_167]),c_0_168]),c_0_169])]) ).
cnf(c_0_198,plain,
( X1 = esk3_1(relation_dom_restriction(esk17_0,esk16_0))
| apply(esk17_0,X1) != apply(esk17_0,esk3_1(relation_dom_restriction(esk17_0,esk16_0)))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_168]),c_0_169])]) ).
cnf(c_0_199,plain,
in(esk2_1(relation_dom_restriction(esk17_0,esk16_0)),relation_dom(esk17_0)),
inference(spm,[status(thm)],[c_0_189,c_0_181]) ).
cnf(c_0_200,plain,
apply(esk17_0,esk2_1(relation_dom_restriction(esk17_0,esk16_0))) = apply(esk17_0,esk3_1(relation_dom_restriction(esk17_0,esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_172]),c_0_169])]) ).
cnf(c_0_201,plain,
esk2_1(relation_dom_restriction(esk17_0,esk16_0)) != esk3_1(relation_dom_restriction(esk17_0,esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_172]),c_0_169])]) ).
cnf(c_0_202,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200])]),c_0_201]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU042+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n019.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 02:42:29 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 162.07/120.30 % Version : CSE_E---1.7
% 162.07/120.30 % Problem : theBenchmark.p
% 162.07/120.30 % SZS status Theorem for theBenchmark.p
% 162.07/120.30 % SZS output start CNFRefutation
% See solution above
% 170.37/128.68 % Total time : 119.937s
%------------------------------------------------------------------------------