%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU191+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 05:11:01 PM UTC 2026
% Result : Theorem 171.90s 85.98s
% Output : CNFRefutation 177.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_39)
% Comments :
%------------------------------------------------------------------------------
fof(t74_relat_1,conjecture,
! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(X1,X3)
& in(ordered_pair(X1,X2),X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_relat_1) ).
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(d10_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = identity_relation(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& X3 = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1) ).
fof(fc3_subset_1,axiom,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_subset_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ empty(singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(fc9_relat_1,axiom,
! [X1,X2] :
( ( empty(X1)
& relation(X2) )
=> ( empty(relation_composition(X1,X2))
& relation(relation_composition(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(fc10_relat_1,axiom,
! [X1,X2] :
( ( empty(X1)
& relation(X2) )
=> ( empty(relation_composition(X2,X1))
& relation(relation_composition(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_relat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(cc1_relat_1,axiom,
! [X1] :
( empty(X1)
=> relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_26,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(X1,X3)
& in(ordered_pair(X1,X2),X4) ) ) ),
inference(assume_negation,[status(cth)],[t74_relat_1]) ).
fof(i_0_27,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
fof(i_0_28,plain,
! [X70,X71,X72,X73,X74,X76,X77,X78,X81] :
( ( in(ordered_pair(X73,esk3_5(X70,X71,X72,X73,X74)),X70)
| ~ in(ordered_pair(X73,X74),X72)
| X72 != relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) )
& ( in(ordered_pair(esk3_5(X70,X71,X72,X73,X74),X74),X71)
| ~ in(ordered_pair(X73,X74),X72)
| X72 != relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) )
& ( ~ in(ordered_pair(X76,X78),X70)
| ~ in(ordered_pair(X78,X77),X71)
| in(ordered_pair(X76,X77),X72)
| X72 != relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) )
& ( ~ in(ordered_pair(esk4_3(X70,X71,X72),esk5_3(X70,X71,X72)),X72)
| ~ in(ordered_pair(esk4_3(X70,X71,X72),X81),X70)
| ~ in(ordered_pair(X81,esk5_3(X70,X71,X72)),X71)
| X72 = relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) )
& ( in(ordered_pair(esk4_3(X70,X71,X72),esk6_3(X70,X71,X72)),X70)
| in(ordered_pair(esk4_3(X70,X71,X72),esk5_3(X70,X71,X72)),X72)
| X72 = relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) )
& ( in(ordered_pair(esk6_3(X70,X71,X72),esk5_3(X70,X71,X72)),X71)
| in(ordered_pair(esk4_3(X70,X71,X72),esk5_3(X70,X71,X72)),X72)
| X72 = relation_composition(X70,X71)
| ~ relation(X72)
| ~ relation(X71)
| ~ relation(X70) ) ),
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)],[d8_relat_1])])])])])]) ).
fof(i_0_29,plain,
! [X68,X69] : ordered_pair(X68,X69) = unordered_pair(unordered_pair(X68,X69),singleton(X68)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(i_0_30,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( in(X62,X60)
| ~ in(ordered_pair(X62,X63),X61)
| X61 != identity_relation(X60)
| ~ relation(X61) )
& ( X62 = X63
| ~ in(ordered_pair(X62,X63),X61)
| X61 != identity_relation(X60)
| ~ relation(X61) )
& ( ~ in(X64,X60)
| X64 != X65
| in(ordered_pair(X64,X65),X61)
| X61 != identity_relation(X60)
| ~ relation(X61) )
& ( ~ in(ordered_pair(esk1_2(X60,X61),esk2_2(X60,X61)),X61)
| ~ in(esk1_2(X60,X61),X60)
| esk1_2(X60,X61) != esk2_2(X60,X61)
| X61 = identity_relation(X60)
| ~ relation(X61) )
& ( in(esk1_2(X60,X61),X60)
| in(ordered_pair(esk1_2(X60,X61),esk2_2(X60,X61)),X61)
| X61 = identity_relation(X60)
| ~ relation(X61) )
& ( esk1_2(X60,X61) = esk2_2(X60,X61)
| in(ordered_pair(esk1_2(X60,X61),esk2_2(X60,X61)),X61)
| X61 = identity_relation(X60)
| ~ relation(X61) ) ),
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)],[d10_relat_1])])])])])]) ).
fof(i_0_31,negated_conjecture,
( relation(esk15_0)
& ( ~ in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| ~ in(esk12_0,esk14_0)
| ~ in(ordered_pair(esk12_0,esk13_0),esk15_0) )
& ( in(esk12_0,esk14_0)
| in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) )
& ( in(ordered_pair(esk12_0,esk13_0),esk15_0)
| in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_26])])])]) ).
fof(i_0_32,plain,
! [X90,X91] : ~ empty(ordered_pair(X90,X91)),
inference(variable_rename,[status(thm)],[i_0_27]) ).
fof(i_0_33,plain,
! [X1,X2] : ~ empty(unordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc3_subset_1]) ).
fof(i_0_34,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_35,plain,
! [X1] : ~ empty(singleton(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(i_0_36,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_37,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
cnf(i_0_38,plain,
( in(ordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),X2)
| ~ in(ordered_pair(X4,X5),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_39,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_29]) ).
cnf(i_0_40,plain,
( in(ordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_41,plain,
( X3 = relation_composition(X1,X2)
| ~ in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)
| ~ in(ordered_pair(esk4_3(X1,X2,X3),X4),X1)
| ~ in(ordered_pair(X4,esk5_3(X1,X2,X3)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_42,plain,
( in(ordered_pair(esk6_3(X1,X2,X3),esk5_3(X1,X2,X3)),X2)
| in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_43,plain,
( in(ordered_pair(esk4_3(X1,X2,X3),esk6_3(X1,X2,X3)),X1)
| in(ordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),X3)
| X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_44,plain,
( X2 = identity_relation(X1)
| ~ in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)
| ~ in(esk1_2(X1,X2),X1)
| esk1_2(X1,X2) != esk2_2(X1,X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_45,plain,
( in(ordered_pair(X1,X4),X6)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X2,X4),X5)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_28]) ).
cnf(i_0_46,plain,
( in(esk1_2(X1,X2),X1)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)
| X2 = identity_relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_47,plain,
( esk1_2(X1,X2) = esk2_2(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)
| X2 = identity_relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_48,negated_conjecture,
( ~ in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0))
| ~ in(esk12_0,esk14_0)
| ~ in(ordered_pair(esk12_0,esk13_0),esk15_0) ),
inference(split_conjunct,[status(thm)],[i_0_31]) ).
cnf(i_0_49,negated_conjecture,
( in(ordered_pair(esk12_0,esk13_0),esk15_0)
| in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(split_conjunct,[status(thm)],[i_0_31]) ).
cnf(i_0_50,plain,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),X4)
| X4 != identity_relation(X2)
| ~ relation(X4) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_51,plain,
( X1 = X2
| ~ in(ordered_pair(X1,X2),X3)
| X3 != identity_relation(X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_52,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_32]) ).
cnf(i_0_53,plain,
( in(ordered_pair(X1,X3),X4)
| ~ in(X1,X2)
| X1 != X3
| X4 != identity_relation(X2)
| ~ relation(X4) ),
inference(split_conjunct,[status(thm)],[i_0_30]) ).
cnf(i_0_54,negated_conjecture,
( in(esk12_0,esk14_0)
| in(ordered_pair(esk12_0,esk13_0),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(split_conjunct,[status(thm)],[i_0_31]) ).
fof(i_0_55,plain,
! [X93,X94] : ~ empty(unordered_pair(X93,X94)),
inference(variable_rename,[status(thm)],[i_0_33]) ).
fof(i_0_56,plain,
! [X55,X56] :
( ~ in(X55,X56)
| ~ in(X56,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_34])]) ).
fof(i_0_57,plain,
! [X83,X84] :
( ~ relation(X83)
| ~ relation(X84)
| relation(relation_composition(X83,X84)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(i_0_58,plain,
! [X95,X96] :
( ( empty(relation_composition(X95,X96))
| ~ empty(X95)
| ~ relation(X96) )
& ( relation(relation_composition(X95,X96))
| ~ empty(X95)
| ~ relation(X96) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_relat_1])])]) ).
fof(i_0_59,plain,
! [X88,X89] :
( ( empty(relation_composition(X89,X88))
| ~ empty(X88)
| ~ relation(X89) )
& ( relation(relation_composition(X89,X88))
| ~ empty(X88)
| ~ relation(X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_relat_1])])]) ).
fof(i_0_60,plain,
! [X103,X104] :
( ~ element(X103,X104)
| empty(X104)
| in(X103,X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_61,plain,
! [X101,X102] :
( ~ in(X101,X102)
| element(X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_62,plain,
! [X110,X111] :
( ~ in(X110,X111)
| ~ empty(X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_63,plain,
! [X58,X59] : unordered_pair(X58,X59) = unordered_pair(X59,X58),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_64,plain,
! [X86] : element(esk7_1(X86),X86),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_65,plain,
! [X92] : ~ empty(singleton(X92)),
inference(variable_rename,[status(thm)],[i_0_35]) ).
fof(i_0_66,plain,
! [X112,X113] :
( ~ empty(X112)
| X112 = X113
| ~ empty(X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_67,plain,
! [X57] :
( ~ empty(X57)
| relation(X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_68,plain,
! [X85] : relation(identity_relation(X85)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(i_0_69,plain,
! [X105] :
( ~ empty(X105)
| X105 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_70,plain,
~ empty(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_36])]) ).
fof(i_0_71,plain,
( ~ empty(esk10_0)
& relation(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_37])]) ).
fof(i_0_72,plain,
( empty(esk8_0)
& relation(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_73,plain,
empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_74,plain,
( in(unordered_pair(unordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),singleton(esk3_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_38,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_75,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_40,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_76,plain,
( X3 = relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,esk5_3(X1,X2,X3)),singleton(X4)),X2)
| ~ in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),X4),singleton(esk4_3(X1,X2,X3))),X1)
| ~ in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),singleton(esk4_3(X1,X2,X3))),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_41,c_0_39]),c_0_39]),c_0_39]),
[final] ).
cnf(i_0_77,plain,
( X3 = relation_composition(X1,X2)
| in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),singleton(esk4_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk6_3(X1,X2,X3),esk5_3(X1,X2,X3)),singleton(esk6_3(X1,X2,X3))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_42,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_78,plain,
( X3 = relation_composition(X1,X2)
| in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)),singleton(esk4_3(X1,X2,X3))),X3)
| in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),esk6_3(X1,X2,X3)),singleton(esk4_3(X1,X2,X3))),X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_43,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_79,plain,
( X2 = identity_relation(X1)
| esk2_2(X1,X2) != esk1_2(X1,X2)
| ~ relation(X2)
| ~ in(esk1_2(X1,X2),X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X2) ),
inference(rw,[status(thm)],[i_0_44,c_0_39]),
[final] ).
cnf(i_0_80,plain,
( in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X6)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_45,c_0_39]),c_0_39]),c_0_39]),
[final] ).
cnf(i_0_81,plain,
( X2 = identity_relation(X1)
| in(esk1_2(X1,X2),X1)
| in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[i_0_46,c_0_39]),
[final] ).
cnf(i_0_82,plain,
( X2 = identity_relation(X1)
| esk2_2(X1,X2) = esk1_2(X1,X2)
| in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[i_0_47,c_0_39]),
[final] ).
cnf(i_0_83,negated_conjecture,
( ~ in(esk12_0,esk14_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_48,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_84,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_49,c_0_39]),c_0_39]),
[final] ).
cnf(i_0_85,plain,
( in(X1,X2)
| X4 != identity_relation(X2)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4) ),
inference(rw,[status(thm)],[i_0_50,c_0_39]),
[final] ).
cnf(i_0_86,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
inference(rw,[status(thm)],[i_0_51,c_0_39]),
[final] ).
cnf(i_0_87,plain,
~ empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))),
inference(rw,[status(thm)],[i_0_52,c_0_39]),
[final] ).
cnf(i_0_88,plain,
( in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4)
| X1 != X3
| X4 != identity_relation(X2)
| ~ relation(X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[i_0_53,c_0_39]),
[final] ).
cnf(i_0_89,negated_conjecture,
( in(esk12_0,esk14_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
inference(rw,[status(thm)],[i_0_54,c_0_39]),
[final] ).
cnf(i_0_90,plain,
~ empty(unordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_91,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_92,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_93,plain,
( relation(relation_composition(X1,X2))
| ~ empty(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_94,plain,
( relation(relation_composition(X1,X2))
| ~ empty(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_95,plain,
( empty(relation_composition(X1,X2))
| ~ empty(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_96,plain,
( empty(relation_composition(X1,X2))
| ~ empty(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_97,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_98,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_99,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_100,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_101,plain,
element(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_102,plain,
~ empty(singleton(X1)),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_103,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_104,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_105,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_106,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_107,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_108,plain,
~ empty(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_109,negated_conjecture,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_110,plain,
relation(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_111,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_112,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_113,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_114,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_115,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_116,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_117,axiom,
X1 = X1 ).
cnf(i_0_118,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_119,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_120,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_121,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_122,axiom,
( X1 != X2
| esk1_2(X1,X3) = esk1_2(X2,X3) ) ).
cnf(i_0_123,axiom,
( X1 != X2
| esk1_2(X3,X1) = esk1_2(X3,X2) ) ).
cnf(i_0_124,axiom,
( X1 != X2
| relation_composition(X1,X3) = relation_composition(X2,X3) ) ).
cnf(i_0_125,axiom,
( X1 != X2
| relation_composition(X3,X1) = relation_composition(X3,X2) ) ).
cnf(i_0_126,axiom,
( X1 != X2
| identity_relation(X1) = identity_relation(X2) ) ).
cnf(i_0_127,axiom,
( X1 != X2
| esk2_2(X1,X3) = esk2_2(X2,X3) ) ).
cnf(i_0_128,axiom,
( X1 != X2
| esk2_2(X3,X1) = esk2_2(X3,X2) ) ).
cnf(i_0_129,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_130,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_131,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_132,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_133,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_134,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_140,plain,
~ in(X1,esk9_0),
inference(scs_inference,[],[i_0_113,i_0_99]) ).
cnf(i_0_142,plain,
relation(esk9_0),
inference(scs_inference,[],[i_0_113,i_0_99,i_0_104]) ).
cnf(i_0_144,plain,
in(esk7_1(esk11_0),esk11_0),
inference(scs_inference,[],[i_0_101,i_0_107,i_0_113,i_0_99,i_0_104,i_0_97]) ).
cnf(i_0_145,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_147,plain,
esk11_0 != esk9_0,
inference(scs_inference,[],[i_0_101,i_0_107,i_0_113,i_0_99,i_0_104,i_0_97,i_0_130]) ).
cnf(i_0_148,plain,
esk9_0 != esk11_0,
inference(scs_inference,[],[i_0_101,i_0_107,i_0_113,i_0_99,i_0_104,i_0_97,i_0_130,i_0_132]) ).
cnf(i_0_149,plain,
~ in(esk11_0,esk7_1(esk11_0)),
inference(scs_inference,[],[i_0_101,i_0_107,i_0_113,i_0_99,i_0_104,i_0_97,i_0_130,i_0_132,i_0_91]) ).
cnf(i_0_157,plain,
~ in(X1,esk8_0),
inference(scs_inference,[],[i_0_114,i_0_99]) ).
cnf(i_0_159,plain,
in(esk7_1(esk10_0),esk10_0),
inference(scs_inference,[],[i_0_108,i_0_114,i_0_101,i_0_99,i_0_97]) ).
cnf(i_0_160,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_181,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_116,i_0_99]) ).
cnf(i_0_183,plain,
in(esk7_1(unordered_pair(X1,X2)),unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_116,i_0_90,i_0_101,i_0_99,i_0_97]) ).
cnf(i_0_184,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_186,plain,
empty_set != unordered_pair(X1,X2),
inference(scs_inference,[],[i_0_116,i_0_90,i_0_101,i_0_99,i_0_97,i_0_132]) ).
cnf(i_0_217,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_221,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_249,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_298,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_315,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_320,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_324,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_358,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_363,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_368,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_439,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_444,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_502,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_507,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_514,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_526,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_532,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_535,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_537,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_559,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_592,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_605,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_618,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_631,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_644,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_657,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_673,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_678,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_687,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_717,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_722,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_725,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_729,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_731,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_752,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_807,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_812,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_816,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1166,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1171,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1174,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1180,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1182,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1242,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1254,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1259,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1264,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1270,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1282,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1727,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1731,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_1753,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1816,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1821,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1826,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_1845,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2593,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2598,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2603,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2608,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2620,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2663,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2671,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2678,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2687,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2696,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2704,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2725,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2760,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2774,plain,
~ empty(unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_2778,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2794,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2826,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2841,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2862,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2892,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2910,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2912,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2916,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_2924,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2938,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2943,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2961,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_2976,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2980,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2982,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_2993,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3001,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3023,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3054,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3077,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3092,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3127,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3143,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3146,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3154,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3164,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3219,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3221,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3234,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3243,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3255,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3289,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3301,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3308,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3312,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3324,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3353,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3356,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3358,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3367,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3371,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3397,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3416,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3426,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3432,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3460,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3478,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3480,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3497,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3502,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3507,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3531,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3547,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3567,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3575,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3595,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3610,plain,
~ empty(unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_3613,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3615,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3624,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3634,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3637,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3658,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3677,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3692,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3701,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3720,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3735,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3737,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3748,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3753,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3758,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3794,plain,
~ empty(unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_3799,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3812,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3817,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3822,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3863,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3865,plain,
element(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_3871,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_3881,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3884,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3891,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3910,plain,
relation(identity_relation(X1)),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_3928,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_155,plain,
~ in(esk11_0,esk7_1(esk11_0)),
inference(equality_inference,[],[151]) ).
cnf(i_0_156,plain,
relation(esk15_0),
inference(equality_inference,[],[152]) ).
cnf(i_0_162,plain,
esk11_0 != esk8_0,
inference(scs_inference,[],[i_0_144,i_0_108,i_0_114,i_0_101,i_0_99,i_0_97,i_0_130]) ).
cnf(i_0_163,plain,
esk8_0 != esk10_0,
inference(scs_inference,[],[i_0_144,i_0_108,i_0_114,i_0_101,i_0_99,i_0_97,i_0_130,i_0_132]) ).
cnf(i_0_164,plain,
~ in(esk10_0,esk7_1(esk10_0)),
inference(scs_inference,[],[i_0_144,i_0_108,i_0_114,i_0_101,i_0_99,i_0_97,i_0_130,i_0_132,i_0_91]) ).
cnf(i_0_168,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_171,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_175,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_177,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_178,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_187,plain,
esk10_0 != esk9_0,
inference(scs_inference,[],[i_0_140,i_0_159,i_0_116,i_0_90,i_0_101,i_0_99,i_0_97,i_0_132,i_0_130]) ).
cnf(i_0_188,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_190,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_191,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_194,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_195,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_198,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_199,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_208,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_210,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_211,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_212,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_225,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_226,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_229,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_230,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_233,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_234,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_240,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_243,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_252,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_254,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_255,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_258,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_259,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_262,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_263,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_268,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_271,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_279,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_281,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_282,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_285,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_286,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_289,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_290,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_294,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_296,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_306,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_310,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_313,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_318,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_327,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_336,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_337,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_340,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_341,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_344,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_345,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_348,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_357,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_362,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_367,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_378,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_379,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_380,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_388,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_392,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_396,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_400,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_411,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_415,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_419,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_423,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_433,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_437,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_442,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_448,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_458,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_462,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_466,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_474,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_475,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_478,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_479,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_482,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_483,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_489,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_496,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_501,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_506,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_522,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_529,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_530,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_533,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_536,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_543,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_547,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_551,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_557,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_558,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_567,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_568,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_569,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_570,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_571,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_579,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_580,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_581,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_582,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_583,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_584,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_594,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_596,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_607,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_609,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_620,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_622,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_628,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_633,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_635,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_641,plain,
~ in(X1,empty_set),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_646,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_648,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_654,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_659,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_661,plain,
~ in(X1,esk9_0),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_671,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_676,plain,
~ in(X1,esk8_0),
inference(rename_variables,[],[i_0_157]) ).
cnf(c_0_123,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_85 ).
cnf(c_0_124,plain,
relation(identity_relation(X1)),
i_0_105 ).
cnf(c_0_125,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_86 ).
cnf(c_0_126,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),identity_relation(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_123]),c_0_124])]) ).
cnf(c_0_127,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_100 ).
cnf(c_0_128,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
i_0_75 ).
cnf(c_0_129,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
i_0_92 ).
cnf(c_0_130,plain,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),identity_relation(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_125]),c_0_124])]) ).
cnf(c_0_131,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),identity_relation(X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_127])]),c_0_129]) ).
cnf(c_0_133,plain,
( X1 = X2
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),identity_relation(X3)) ),
inference(spm,[status(thm)],[c_0_130,c_0_127]) ).
cnf(c_0_134,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(identity_relation(X2),X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_124])]) ).
cnf(c_0_135,negated_conjecture,
( in(esk12_0,esk14_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_89 ).
cnf(c_0_136,negated_conjecture,
relation(esk15_0),
i_0_109 ).
cnf(c_0_137,plain,
( in(unordered_pair(unordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),singleton(esk3_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
i_0_74 ).
cnf(c_0_138,plain,
( esk3_5(identity_relation(X1),X2,relation_composition(identity_relation(X1),X2),X3,X4) = X3
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(identity_relation(X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_132]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_84 ).
cnf(c_0_140,negated_conjecture,
( ~ in(esk12_0,esk14_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_83 ).
cnf(c_0_141,negated_conjecture,
in(esk12_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_142,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk3_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_127])]),c_0_129]) ).
cnf(c_0_143,negated_conjecture,
( esk3_5(identity_relation(esk14_0),esk15_0,relation_composition(identity_relation(esk14_0),esk15_0),esk12_0,esk13_0) = esk12_0
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_136])]) ).
cnf(c_0_144,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
i_0_80 ).
cnf(c_0_145,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_146,plain,
in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_127]),c_0_136]),c_0_124])]),c_0_139]) ).
cnf(c_0_147,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_144]),c_0_129]) ).
cnf(c_0_148,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_149,plain,
( in(unordered_pair(unordered_pair(X1,esk13_0),singleton(X1)),relation_composition(X2,esk15_0))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_146]),c_0_136])]) ).
cnf(c_0_150,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X1 != X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(X1,X4) ),
i_0_88 ).
cnf(c_0_151,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk12_0),singleton(esk12_0)),identity_relation(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_124])]) ).
cnf(c_0_152,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),identity_relation(X2))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_150])]),c_0_124])]) ).
cnf(c_0_153,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_141])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU191+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:46:59 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 171.90/85.98 % Version : CSE_E---1.7
% 171.90/85.98 % Problem : theBenchmark.p
% 171.90/85.98 % SZS status Theorem for theBenchmark.p
% 171.90/85.98 % SZS output start CNFRefutation
% See solution above
% 177.80/91.83 % Total time : 84.549s
%------------------------------------------------------------------------------