%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU048+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 : n010.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 05:10:33 PM UTC 2026
% Result : Theorem 147.21s 116.49s
% Output : CNFRefutation 153.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_229)
% 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(t99_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> one_to_one(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_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(t85_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_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(fc5_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_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_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(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(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(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
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_35,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_36,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> one_to_one(relation_rng_restriction(X1,X2)) ) ),
inference(assume_negation,[status(cth)],[t99_funct_1]) ).
fof(i_0_37,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_38,plain,
! [X1] :
( ( ~ empty(X1)
& relation(X1) )
=> ~ empty(relation_dom(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(i_0_39,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_40,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_41,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_42,plain,
! [X107,X108,X109,X110,X111,X112] :
( ( in(X110,relation_dom(X109))
| ~ in(X110,relation_dom(X108))
| X108 != relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( in(apply(X109,X110),X107)
| ~ in(X110,relation_dom(X108))
| X108 != relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( ~ in(X111,relation_dom(X109))
| ~ in(apply(X109,X111),X107)
| in(X111,relation_dom(X108))
| X108 != relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( ~ in(X112,relation_dom(X108))
| apply(X108,X112) = apply(X109,X112)
| X108 != relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( in(esk15_3(X107,X108,X109),relation_dom(X108))
| ~ in(esk14_3(X107,X108,X109),relation_dom(X108))
| ~ in(esk14_3(X107,X108,X109),relation_dom(X109))
| ~ in(apply(X109,esk14_3(X107,X108,X109)),X107)
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( apply(X108,esk15_3(X107,X108,X109)) != apply(X109,esk15_3(X107,X108,X109))
| ~ in(esk14_3(X107,X108,X109),relation_dom(X108))
| ~ in(esk14_3(X107,X108,X109),relation_dom(X109))
| ~ in(apply(X109,esk14_3(X107,X108,X109)),X107)
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( in(esk15_3(X107,X108,X109),relation_dom(X108))
| in(esk14_3(X107,X108,X109),relation_dom(X109))
| in(esk14_3(X107,X108,X109),relation_dom(X108))
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( apply(X108,esk15_3(X107,X108,X109)) != apply(X109,esk15_3(X107,X108,X109))
| in(esk14_3(X107,X108,X109),relation_dom(X109))
| in(esk14_3(X107,X108,X109),relation_dom(X108))
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( in(esk15_3(X107,X108,X109),relation_dom(X108))
| in(apply(X109,esk14_3(X107,X108,X109)),X107)
| in(esk14_3(X107,X108,X109),relation_dom(X108))
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) )
& ( apply(X108,esk15_3(X107,X108,X109)) != apply(X109,esk15_3(X107,X108,X109))
| in(apply(X109,esk14_3(X107,X108,X109)),X107)
| in(esk14_3(X107,X108,X109),relation_dom(X108))
| X108 = relation_rng_restriction(X107,X109)
| ~ relation(X109)
| ~ function(X109)
| ~ relation(X108)
| ~ function(X108) ) ),
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)],[t85_funct_1])])])])])]) ).
fof(i_0_43,plain,
! [X65,X66,X67] :
( ( ~ one_to_one(X65)
| ~ in(X66,relation_dom(X65))
| ~ in(X67,relation_dom(X65))
| apply(X65,X66) != apply(X65,X67)
| X66 = X67
| ~ relation(X65)
| ~ function(X65) )
& ( in(esk1_1(X65),relation_dom(X65))
| one_to_one(X65)
| ~ relation(X65)
| ~ function(X65) )
& ( in(esk2_1(X65),relation_dom(X65))
| one_to_one(X65)
| ~ relation(X65)
| ~ function(X65) )
& ( apply(X65,esk1_1(X65)) = apply(X65,esk2_1(X65))
| one_to_one(X65)
| ~ relation(X65)
| ~ function(X65) )
& ( esk1_1(X65) != esk2_1(X65)
| one_to_one(X65)
| ~ relation(X65)
| ~ function(X65) ) ),
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_44,plain,
! [X98,X99,X100] :
( ~ in(X98,X99)
| ~ element(X99,powerset(X100))
| element(X98,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_45,plain,
! [X101,X102,X103] :
( ~ in(X101,X102)
| ~ element(X102,powerset(X103))
| ~ empty(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_46,plain,
! [X96,X97] :
( ( ~ element(X96,powerset(X97))
| subset(X96,X97) )
& ( ~ subset(X96,X97)
| element(X96,powerset(X97)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_47,plain,
! [X60,X61] :
( ~ in(X60,X61)
| ~ in(X61,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_35])]) ).
fof(i_0_48,plain,
! [X75,X76] :
( ( relation(relation_rng_restriction(X75,X76))
| ~ relation(X76)
| ~ function(X76) )
& ( function(relation_rng_restriction(X75,X76))
| ~ relation(X76)
| ~ function(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])]) ).
fof(i_0_49,plain,
! [X94,X95] :
( ~ element(X94,X95)
| empty(X95)
| in(X94,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_50,negated_conjecture,
( relation(esk17_0)
& function(esk17_0)
& one_to_one(esk17_0)
& ~ one_to_one(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_36])])]) ).
fof(i_0_51,plain,
! [X70,X71] :
( ~ relation(X71)
| relation(relation_rng_restriction(X70,X71)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
fof(i_0_52,plain,
! [X92,X93] :
( ~ in(X92,X93)
| element(X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_53,plain,
! [X81] :
( ( element(esk6_1(X81),powerset(X81))
| empty(X81) )
& ( ~ empty(esk6_1(X81))
| empty(X81) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_37])])])]) ).
fof(i_0_54,plain,
! [X105,X106] :
( ~ in(X105,X106)
| ~ empty(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_55,plain,
! [X77] :
( empty(X77)
| ~ relation(X77)
| ~ empty(relation_dom(X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_38])]) ).
fof(i_0_56,plain,
! [X86] :
( element(esk10_1(X86),powerset(X86))
& empty(esk10_1(X86)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_57,plain,
! [X64] :
( ( relation(X64)
| ~ relation(X64)
| ~ empty(X64)
| ~ function(X64) )
& ( function(X64)
| ~ relation(X64)
| ~ empty(X64)
| ~ function(X64) )
& ( one_to_one(X64)
| ~ relation(X64)
| ~ empty(X64)
| ~ function(X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_58,plain,
! [X72] : element(esk3_1(X72),X72),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_59,plain,
! [X78] :
( ( empty(relation_dom(X78))
| ~ empty(X78) )
& ( relation(relation_dom(X78))
| ~ empty(X78) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
fof(i_0_60,plain,
! [X74] : ~ empty(powerset(X74)),
inference(variable_rename,[status(thm)],[i_0_39]) ).
fof(i_0_61,plain,
! [X115,X116] :
( ~ empty(X115)
| X115 = X116
| ~ empty(X116) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_62,plain,
! [X91] : subset(X91,X91),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_63,plain,
! [X63] :
( ~ empty(X63)
| relation(X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_64,plain,
! [X62] :
( ~ empty(X62)
| function(X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_65,plain,
! [X104] :
( ~ empty(X104)
| X104 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_66,plain,
~ empty(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_40])]) ).
fof(i_0_67,plain,
( ~ empty(esk9_0)
& relation(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_41])]) ).
fof(i_0_68,plain,
( relation(esk13_0)
& relation_empty_yielding(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_69,plain,
( relation(esk12_0)
& function(esk12_0)
& one_to_one(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_70,plain,
( relation(esk8_0)
& empty(esk8_0)
& function(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_71,plain,
( empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(i_0_72,plain,
( relation(esk4_0)
& function(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_73,plain,
empty(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_74,plain,
( X1 = relation_rng_restriction(X2,X3)
| apply(X1,esk15_3(X2,X1,X3)) != apply(X3,esk15_3(X2,X1,X3))
| ~ in(esk14_3(X2,X1,X3),relation_dom(X1))
| ~ in(esk14_3(X2,X1,X3),relation_dom(X3))
| ~ in(apply(X3,esk14_3(X2,X1,X3)),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_75,plain,
( in(esk15_3(X1,X2,X3),relation_dom(X2))
| X2 = relation_rng_restriction(X1,X3)
| ~ in(esk14_3(X1,X2,X3),relation_dom(X2))
| ~ in(esk14_3(X1,X2,X3),relation_dom(X3))
| ~ in(apply(X3,esk14_3(X1,X2,X3)),X1)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_76,plain,
( in(apply(X3,esk14_3(X2,X1,X3)),X2)
| in(esk14_3(X2,X1,X3),relation_dom(X1))
| X1 = relation_rng_restriction(X2,X3)
| apply(X1,esk15_3(X2,X1,X3)) != apply(X3,esk15_3(X2,X1,X3))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_77,plain,
( in(esk14_3(X2,X1,X3),relation_dom(X3))
| in(esk14_3(X2,X1,X3),relation_dom(X1))
| X1 = relation_rng_restriction(X2,X3)
| apply(X1,esk15_3(X2,X1,X3)) != apply(X3,esk15_3(X2,X1,X3))
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_78,plain,
( in(esk15_3(X1,X2,X3),relation_dom(X2))
| in(apply(X3,esk14_3(X1,X2,X3)),X1)
| in(esk14_3(X1,X2,X3),relation_dom(X2))
| X2 = relation_rng_restriction(X1,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_79,plain,
( in(esk15_3(X1,X2,X3),relation_dom(X2))
| in(esk14_3(X1,X2,X3),relation_dom(X3))
| in(esk14_3(X1,X2,X3),relation_dom(X2))
| X2 = relation_rng_restriction(X1,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_80,plain,
( in(X1,relation_dom(X4))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_81,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_43]),
[final] ).
cnf(i_0_82,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,relation_dom(X4))
| X4 != relation_rng_restriction(X3,X1)
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_83,plain,
( apply(X2,X1) = apply(X3,X1)
| ~ in(X1,relation_dom(X2))
| X2 != relation_rng_restriction(X4,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_84,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(X3))
| X3 != relation_rng_restriction(X4,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_85,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_86,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_87,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_88,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_89,plain,
( in(esk2_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_90,plain,
( in(esk1_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_91,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_92,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_93,plain,
( function(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_94,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_95,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_96,negated_conjecture,
~ one_to_one(relation_rng_restriction(esk16_0,esk17_0)),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_97,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_98,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_99,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_100,plain,
( element(esk6_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_101,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_102,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_103,plain,
element(esk10_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_104,plain,
( one_to_one(X1)
| ~ relation(X1)
| ~ empty(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_105,plain,
( empty(X1)
| ~ empty(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_106,plain,
element(esk3_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_107,plain,
( relation(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_108,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_109,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_110,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_111,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_112,plain,
( relation(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_113,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_114,plain,
empty(esk10_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_115,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_116,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
~ empty(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_118,plain,
relation_empty_yielding(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_119,plain,
relation_empty_yielding(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_120,negated_conjecture,
one_to_one(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_121,plain,
one_to_one(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_122,negated_conjecture,
relation(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_123,plain,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_124,plain,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_125,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_126,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_127,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_128,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_129,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_130,plain,
relation(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_131,negated_conjecture,
function(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_132,plain,
function(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_133,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_134,plain,
function(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_135,plain,
empty(esk8_0),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_136,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_137,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_138,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_139,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_140,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_141,axiom,
X1 = X1 ).
cnf(i_0_142,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_143,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_144,axiom,
( X1 != X2
| relation_rng_restriction(X1,X3) = relation_rng_restriction(X2,X3) ) ).
cnf(i_0_145,axiom,
( X1 != X2
| relation_rng_restriction(X3,X1) = relation_rng_restriction(X3,X2) ) ).
cnf(i_0_146,axiom,
( X1 != X2
| apply(X1,X3) = apply(X2,X3) ) ).
cnf(i_0_147,axiom,
( X1 != X2
| apply(X3,X1) = apply(X3,X2) ) ).
cnf(i_0_148,axiom,
( X1 != X2
| esk1_1(X1) = esk1_1(X2) ) ).
cnf(i_0_149,axiom,
( X1 != X2
| esk2_1(X1) = esk2_1(X2) ) ).
cnf(i_0_150,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_151,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_152,axiom,
( X1 != X2
| ~ relation(X1)
| relation(X2) ) ).
cnf(i_0_153,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_154,axiom,
( X1 != X2
| ~ one_to_one(X1)
| one_to_one(X2) ) ).
cnf(i_0_155,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_156,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_157,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_159,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_160,axiom,
( X1 != X2
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(X2) ) ).
cnf(i_0_1908,plain,
~ element(powerset(X1),powerset(relation_dom(esk10_1(X2)))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1838,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_320,i_0_106,i_0_1895,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86]) ).
cnf(i_0_1910,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1838,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_320,i_0_247,i_0_106,i_0_1895,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151]) ).
cnf(i_0_1911,plain,
~ in(X1,relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1838,i_0_1892,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_320,i_0_247,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166]) ).
cnf(i_0_1916,plain,
esk17_0 != relation_rng_restriction(esk7_0,relation_rng_restriction(X1,esk12_0)),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1912,i_0_1838,i_0_1892,i_0_1913,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_1914,i_0_320,i_0_247,i_0_350,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166,i_0_82]) ).
cnf(i_0_1920,plain,
esk10_1(X1) = relation_rng_restriction(X2,esk10_1(X1)),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1912,i_0_1838,i_0_1892,i_0_1913,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_1914,i_0_320,i_0_247,i_0_350,i_0_216,i_0_273,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166,i_0_82,i_0_163]) ).
cnf(i_0_1923,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1912,i_0_1838,i_0_1892,i_0_1913,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_1914,i_0_320,i_0_247,i_0_350,i_0_216,i_0_273,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166,i_0_82,i_0_163,i_0_263]) ).
cnf(i_0_1924,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1912,i_0_1838,i_0_1892,i_0_1913,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_1914,i_0_320,i_0_247,i_0_350,i_0_216,i_0_273,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166,i_0_82,i_0_163,i_0_263,i_0_313]) ).
cnf(i_0_1925,plain,
~ in(powerset(X1),powerset(relation_dom(esk10_1(X2)))),
inference(scs_inference,[],[i_0_229,i_0_169,i_0_1821,i_0_1862,i_0_1819,i_0_1912,i_0_1838,i_0_1892,i_0_1913,i_0_1827,i_0_1834,i_0_1846,i_0_1847,i_0_1851,i_0_209,i_0_1825,i_0_1843,i_0_297,i_0_1914,i_0_320,i_0_247,i_0_350,i_0_216,i_0_273,i_0_132,i_0_124,i_0_106,i_0_1895,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_94,i_0_100,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_155,i_0_156,i_0_158,i_0_159,i_0_143,i_0_95,i_0_86,i_0_151,i_0_166,i_0_82,i_0_163,i_0_263,i_0_313,i_0_98]) ).
cnf(i_0_1976,plain,
relation_rng_restriction(X1,esk10_1(X2)) = relation_rng_restriction(X1,empty_set),
inference(rename_variables,[],[i_0_1852]) ).
cnf(i_0_1987,plain,
relation_rng_restriction(X1,esk10_1(X2)) = relation_rng_restriction(X1,empty_set),
inference(rename_variables,[],[i_0_1852]) ).
cnf(i_0_1991,plain,
relation_rng_restriction(X1,esk10_1(X2)) = relation_rng_restriction(X1,empty_set),
inference(rename_variables,[],[i_0_1852]) ).
cnf(i_0_2075,plain,
relation_rng_restriction(esk10_1(X1),esk10_1(X1)) = relation_rng_restriction(empty_set,empty_set),
inference(rename_variables,[],[i_0_1861]) ).
cnf(i_0_2084,plain,
relation_rng_restriction(esk10_1(X1),esk10_1(X1)) = relation_rng_restriction(empty_set,empty_set),
inference(rename_variables,[],[i_0_1861]) ).
cnf(i_0_2162,plain,
apply(X1,esk10_1(X2)) = apply(X1,empty_set),
inference(rename_variables,[],[i_0_1854]) ).
cnf(i_0_2448,plain,
relation_rng_restriction(X1,esk10_1(X2)) = relation_rng_restriction(X1,empty_set),
inference(rename_variables,[],[i_0_1852]) ).
cnf(i_0_2452,plain,
relation_rng_restriction(esk10_1(X1),esk10_1(X1)) = relation_rng_restriction(empty_set,empty_set),
inference(rename_variables,[],[i_0_1861]) ).
cnf(i_0_2954,plain,
apply(X1,esk10_1(X2)) = apply(X1,empty_set),
inference(rename_variables,[],[i_0_1854]) ).
cnf(i_0_3567,plain,
apply(esk10_1(X1),X2) = apply(empty_set,X2),
inference(rename_variables,[],[i_0_1853]) ).
cnf(i_0_1947,plain,
relation(relation_dom(esk3_1(powerset(esk8_0)))),
inference(scs_inference,[],[i_0_1815,i_0_1904,i_0_105,i_0_107]) ).
cnf(i_0_1949,plain,
relation(relation_rng_restriction(X1,relation_dom(esk10_1(X2)))),
inference(scs_inference,[],[i_0_1815,i_0_1817,i_0_1904,i_0_105,i_0_107,i_0_97]) ).
cnf(i_0_1951,plain,
element(esk6_1(esk6_1(esk17_0)),powerset(esk6_1(esk17_0))),
inference(scs_inference,[],[i_0_1815,i_0_1817,i_0_1904,i_0_105,i_0_107,i_0_97,i_0_100]) ).
cnf(i_0_1953,plain,
element(esk3_1(powerset(esk10_1(X1))),powerset(empty_set)),
inference(scs_inference,[],[i_0_1815,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94]) ).
cnf(i_0_1955,plain,
empty(relation_dom(esk3_1(powerset(esk8_0)))),
inference(scs_inference,[],[i_0_1815,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108]) ).
cnf(i_0_1957,plain,
esk3_1(powerset(esk8_0)) = empty_set,
inference(scs_inference,[],[i_0_1815,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115]) ).
cnf(i_0_1959,plain,
esk11_0 != empty_set,
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142]) ).
cnf(i_0_1962,plain,
apply(relation_rng_restriction(X1,esk10_1(X2)),X3) = apply(relation_rng_restriction(X1,empty_set),X3),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_1963,plain,
apply(X1,relation_rng_restriction(X2,esk10_1(X3))) = apply(X1,relation_rng_restriction(X2,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_1964,plain,
esk1_1(relation_rng_restriction(X1,esk10_1(X2))) = esk1_1(relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_1965,plain,
esk2_1(relation_rng_restriction(X1,esk10_1(X2))) = esk2_1(relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149]) ).
cnf(i_0_1966,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk10_1(X3)))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1904,i_0_1900,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93]) ).
cnf(i_0_1967,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1924]) ).
cnf(i_0_1969,plain,
element(esk3_1(relation_rng_restriction(X1,esk10_1(X2))),relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1904,i_0_1900,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156]) ).
cnf(i_0_1971,plain,
subset(relation_rng_restriction(X1,empty_set),relation_rng_restriction(X1,esk10_1(X2))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1904,i_0_1900,i_0_111,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158]) ).
cnf(i_0_1973,plain,
element(relation_rng_restriction(X1,empty_set),powerset(relation_rng_restriction(X1,esk10_1(X2)))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1904,i_0_1900,i_0_1821,i_0_111,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155]) ).
cnf(i_0_1978,plain,
empty(relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1821,i_0_111,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95]) ).
cnf(i_0_1979,plain,
~ in(X1,relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(rename_variables,[],[i_0_1911]) ).
cnf(i_0_1982,plain,
~ element(esk17_0,powerset(esk3_1(powerset(esk8_0)))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1817,i_0_1923,i_0_1924,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_111,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86]) ).
cnf(i_0_1984,plain,
one_to_one(relation_rng_restriction(X1,esk10_1(X2))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1920,i_0_1817,i_0_1923,i_0_1924,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154]) ).
cnf(i_0_1985,plain,
esk10_1(X1) = relation_rng_restriction(X2,esk10_1(X1)),
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_1993,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(rename_variables,[],[i_0_1910]) ).
cnf(i_0_1998,plain,
~ in(X1,relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(rename_variables,[],[i_0_1911]) ).
cnf(i_0_2001,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(rename_variables,[],[i_0_1910]) ).
cnf(i_0_2002,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_2004,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1924]) ).
cnf(i_0_2007,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2008,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(rename_variables,[],[i_0_1910]) ).
cnf(i_0_2010,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2013,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(rename_variables,[],[i_0_1910]) ).
cnf(i_0_2018,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2019,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2033,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2034,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2072,plain,
element(esk10_1(X1),powerset(empty_set)),
inference(rename_variables,[],[i_0_1876]) ).
cnf(i_0_2087,plain,
esk10_1(X1) = relation_rng_restriction(X2,esk10_1(X1)),
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_2089,plain,
~ in(X1,relation_dom(esk10_1(X2))),
inference(rename_variables,[],[i_0_1910]) ).
cnf(i_0_2093,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_2102,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2104,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2110,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1924]) ).
cnf(i_0_2111,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_2126,plain,
~ empty(esk6_1(esk6_1(relation_rng_restriction(esk16_0,esk17_0)))),
inference(scs_inference,[],[i_0_1870,i_0_105]) ).
cnf(i_0_2163,plain,
apply(relation_rng_restriction(esk10_1(X1),X2),X3) = apply(relation_rng_restriction(empty_set,X2),X3),
inference(rename_variables,[],[i_0_1887]) ).
cnf(i_0_2179,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2181,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2242,plain,
~ in(X1,relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(rename_variables,[],[i_0_1911]) ).
cnf(i_0_2243,plain,
~ in(X1,relation_dom(relation_rng_restriction(esk7_0,esk12_0))),
inference(rename_variables,[],[i_0_1911]) ).
cnf(i_0_2266,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2290,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2297,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1924]) ).
cnf(i_0_2298,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_2301,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2302,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2308,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2309,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2407,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2408,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2414,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2415,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2423,plain,
relation_dom(relation_dom(esk10_1(X1))) = empty_set,
inference(scs_inference,[],[i_0_1880,i_0_115]) ).
cnf(i_0_2616,plain,
apply(relation_rng_restriction(esk10_1(X1),X2),X3) = apply(relation_rng_restriction(empty_set,X2),X3),
inference(rename_variables,[],[i_0_1887]) ).
cnf(i_0_3092,plain,
apply(relation_rng_restriction(esk10_1(X1),X2),X3) = apply(relation_rng_restriction(empty_set,X2),X3),
inference(rename_variables,[],[i_0_1887]) ).
cnf(i_0_3131,plain,
subset(empty_set,X1),
inference(rename_variables,[],[i_0_1898]) ).
cnf(i_0_3210,plain,
esk1_1(relation_rng_restriction(esk10_1(X1),X2)) = esk1_1(relation_rng_restriction(empty_set,X2)),
inference(rename_variables,[],[i_0_1889]) ).
cnf(i_0_3409,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_3410,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,esk12_0))),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_3466,plain,
function(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1924]) ).
cnf(i_0_3467,plain,
relation(relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_1986,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1920,i_0_1817,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153]) ).
cnf(i_0_1988,plain,
in(relation_rng_restriction(X1,esk10_1(X2)),powerset(X2)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1920,i_0_1985,i_0_1817,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_182,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150]) ).
cnf(i_0_1990,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_182,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152]) ).
cnf(i_0_1992,plain,
esk17_0 != relation_dom(esk10_1(X1)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_182,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151]) ).
cnf(i_0_1994,plain,
esk3_1(powerset(esk8_0)) != esk6_1(esk17_0),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_308,i_0_111,i_0_182,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157]) ).
cnf(i_0_1995,plain,
one_to_one(relation_rng_restriction(esk7_0,esk12_0)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1979,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_1838,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90]) ).
cnf(i_0_2000,plain,
~ in(X1,relation_dom(relation_rng_restriction(X2,esk10_1(X3)))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_1923,i_0_1924,i_0_1967,i_0_1911,i_0_1979,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_1838,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168]) ).
cnf(i_0_2012,plain,
esk17_0 != relation_rng_restriction(relation_dom(esk10_1(X1)),esk17_0),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_2001,i_0_2008,i_0_1923,i_0_1924,i_0_1967,i_0_1874,i_0_1891,i_0_1911,i_0_1979,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_1838,i_0_1997,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_1996,i_0_350,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168,i_0_166,i_0_82]) ).
cnf(i_0_2015,plain,
in(esk14_3(relation_dom(esk10_1(X1)),esk17_0,esk17_0),relation_dom(esk17_0)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_2001,i_0_2008,i_0_1923,i_0_1924,i_0_1967,i_0_1874,i_0_1891,i_0_1911,i_0_1979,i_0_1904,i_0_1900,i_0_1885,i_0_1840,i_0_1821,i_0_1838,i_0_1997,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_1996,i_0_350,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168,i_0_166,i_0_82,i_0_163]) ).
cnf(i_0_2024,plain,
~ in(esk17_0,powerset(esk3_1(powerset(esk8_0)))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_2001,i_0_2008,i_0_1923,i_0_1924,i_0_1967,i_0_1874,i_0_2010,i_0_1891,i_0_2007,i_0_1911,i_0_1979,i_0_1998,i_0_1904,i_0_1900,i_0_1885,i_0_1977,i_0_1840,i_0_1821,i_0_1838,i_0_1997,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_1996,i_0_2009,i_0_350,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168,i_0_166,i_0_82,i_0_163,i_0_84,i_0_98]) ).
cnf(i_0_2026,plain,
~ in(powerset(X1),relation_rng_restriction(X2,esk10_1(X1))),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_2001,i_0_2008,i_0_1923,i_0_1924,i_0_1967,i_0_1874,i_0_2010,i_0_1891,i_0_2007,i_0_1911,i_0_1979,i_0_1998,i_0_1904,i_0_1900,i_0_1885,i_0_1977,i_0_1840,i_0_1821,i_0_1838,i_0_1997,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_1996,i_0_2009,i_0_350,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168,i_0_166,i_0_82,i_0_163,i_0_84,i_0_98,i_0_91]) ).
cnf(i_0_2030,plain,
subset(esk10_1(relation_rng_restriction(X1,esk10_1(X2))),relation_rng_restriction(X1,empty_set)),
inference(scs_inference,[],[i_0_259,i_0_1815,i_0_1852,i_0_1976,i_0_1987,i_0_1991,i_0_1920,i_0_1985,i_0_1817,i_0_1910,i_0_1993,i_0_2001,i_0_2008,i_0_1923,i_0_2002,i_0_1924,i_0_1967,i_0_1874,i_0_2010,i_0_1891,i_0_2007,i_0_1911,i_0_1979,i_0_1998,i_0_1904,i_0_1900,i_0_1885,i_0_1977,i_0_1840,i_0_169,i_0_1821,i_0_1838,i_0_1997,i_0_308,i_0_111,i_0_182,i_0_1819,i_0_1996,i_0_2009,i_0_350,i_0_216,i_0_273,i_0_106,i_0_1970,i_0_122,i_0_131,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_95,i_0_86,i_0_154,i_0_153,i_0_150,i_0_152,i_0_151,i_0_157,i_0_90,i_0_168,i_0_166,i_0_82,i_0_163,i_0_84,i_0_98,i_0_91,i_0_102,i_0_159]) ).
cnf(i_0_2041,plain,
relation(relation_dom(relation_dom(relation_rng_restriction(esk7_0,esk12_0)))),
inference(scs_inference,[],[i_0_1836,i_0_1978,i_0_105,i_0_107]) ).
cnf(i_0_2066,plain,
element(esk3_1(relation_rng_restriction(X1,esk10_1(X2))),relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2069,plain,
subset(relation_rng_restriction(X1,empty_set),relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1971]) ).
cnf(i_0_2076,plain,
subset(relation_rng_restriction(X1,empty_set),relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1971]) ).
cnf(i_0_2114,plain,
apply(relation_rng_restriction(X1,esk10_1(X2)),X3) = apply(relation_rng_restriction(X1,empty_set),X3),
inference(rename_variables,[],[i_0_1962]) ).
cnf(i_0_2165,plain,
subset(relation_rng_restriction(X1,empty_set),relation_rng_restriction(X1,esk10_1(X2))),
inference(rename_variables,[],[i_0_1971]) ).
cnf(i_0_2239,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,esk10_1(X3)))),
inference(rename_variables,[],[i_0_1966]) ).
cnf(i_0_2442,plain,
element(relation_rng_restriction(X1,empty_set),powerset(relation_rng_restriction(X1,esk10_1(X2)))),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2673,plain,
apply(relation_rng_restriction(X1,esk10_1(X2)),X3) = apply(relation_rng_restriction(X1,empty_set),X3),
inference(rename_variables,[],[i_0_1962]) ).
cnf(i_0_3211,plain,
esk1_1(relation_rng_restriction(X1,esk10_1(X2))) = esk1_1(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1964]) ).
cnf(i_0_2043,plain,
relation(relation_rng_restriction(X1,relation_rng_restriction(X2,empty_set))),
inference(scs_inference,[],[i_0_1990,i_0_1836,i_0_1978,i_0_105,i_0_107,i_0_97]) ).
cnf(i_0_2045,plain,
element(esk6_1(relation_dom(esk9_0)),powerset(relation_dom(esk9_0))),
inference(scs_inference,[],[i_0_1990,i_0_1836,i_0_1978,i_0_105,i_0_107,i_0_97,i_0_100]) ).
cnf(i_0_2049,plain,
empty(relation_dom(relation_dom(relation_rng_restriction(esk7_0,esk12_0)))),
inference(scs_inference,[],[i_0_1990,i_0_1836,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108]) ).
cnf(i_0_2051,plain,
relation_dom(relation_rng_restriction(esk7_0,esk12_0)) = empty_set,
inference(scs_inference,[],[i_0_1990,i_0_1836,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115]) ).
cnf(i_0_2053,plain,
esk9_0 != esk7_0,
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142]) ).
cnf(i_0_2054,plain,
relation_rng_restriction(apply(esk10_1(X1),X2),X3) = relation_rng_restriction(apply(empty_set,X2),X3),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144]) ).
cnf(i_0_2055,plain,
relation_rng_restriction(X1,apply(esk10_1(X2),X3)) = relation_rng_restriction(X1,apply(empty_set,X3)),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145]) ).
cnf(i_0_2056,plain,
apply(apply(esk10_1(X1),X2),X3) = apply(apply(empty_set,X2),X3),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_2057,plain,
apply(X1,apply(esk10_1(X2),X3)) = apply(X1,apply(empty_set,X3)),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_2058,plain,
esk1_1(apply(esk10_1(X1),X2)) = esk1_1(apply(empty_set,X2)),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148]) ).
cnf(i_0_2059,plain,
esk2_1(apply(esk10_1(X1),X2)) = esk2_1(apply(empty_set,X2)),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149]) ).
cnf(i_0_2060,plain,
~ in(relation_dom(esk17_0),esk14_3(relation_dom(esk10_1(X1)),esk17_0,esk17_0)),
inference(scs_inference,[],[i_0_306,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_2015,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91]) ).
cnf(i_0_2062,plain,
function(relation_rng_restriction(X1,relation_rng_restriction(X2,empty_set))),
inference(scs_inference,[],[i_0_306,i_0_1986,i_0_1990,i_0_1836,i_0_1853,i_0_1978,i_0_2030,i_0_2015,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93]) ).
cnf(i_0_2063,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2071,plain,
element(relation_rng_restriction(X1,esk10_1(X2)),powerset(empty_set)),
inference(scs_inference,[],[i_0_306,i_0_1876,i_0_1986,i_0_1990,i_0_1836,i_0_1853,i_0_1971,i_0_1978,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155]) ).
cnf(i_0_2073,plain,
esk11_0 != relation_dom(esk10_1(X1)),
inference(scs_inference,[],[i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1836,i_0_1853,i_0_1971,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143]) ).
cnf(i_0_2077,plain,
in(esk3_1(relation_dom(esk9_0)),relation_dom(esk9_0)),
inference(scs_inference,[],[i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1836,i_0_1853,i_0_1861,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95]) ).
cnf(i_0_2080,plain,
~ element(powerset(X1),powerset(relation_dom(relation_rng_restriction(esk7_0,esk12_0)))),
inference(scs_inference,[],[i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1836,i_0_1988,i_0_1853,i_0_1861,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95,i_0_86]) ).
cnf(i_0_2082,plain,
relation_rng_restriction(esk7_0,esk12_0) != relation_rng_restriction(esk16_0,esk17_0),
inference(scs_inference,[],[i_0_96,i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1995,i_0_1836,i_0_1988,i_0_1853,i_0_1861,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95,i_0_86,i_0_154]) ).
cnf(i_0_2083,plain,
in(relation_rng_restriction(empty_set,empty_set),powerset(X1)),
inference(scs_inference,[],[i_0_96,i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1995,i_0_1836,i_0_1988,i_0_1853,i_0_1861,i_0_2075,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_106,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95,i_0_86,i_0_154,i_0_150]) ).
cnf(i_0_2085,plain,
in(relation_rng_restriction(X1,esk10_1(X2)),powerset(X2)),
inference(rename_variables,[],[i_0_1988]) ).
cnf(i_0_2086,plain,
empty(relation_rng_restriction(X1,esk10_1(X2))),
inference(scs_inference,[],[i_0_96,i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_1995,i_0_1836,i_0_1988,i_0_1853,i_0_1861,i_0_2075,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_1960,i_0_2067,i_0_1920,i_0_106,i_0_114,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95,i_0_86,i_0_154,i_0_150,i_0_157]) ).
cnf(i_0_2090,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2094,plain,
~ in(X1,relation_dom(relation_rng_restriction(X2,esk10_1(X3)))),
inference(rename_variables,[],[i_0_2000]) ).
cnf(i_0_2109,plain,
~ in(X1,relation_dom(relation_rng_restriction(X2,esk10_1(X3)))),
inference(rename_variables,[],[i_0_2000]) ).
cnf(i_0_2112,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_2113,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2196,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_2303,plain,
~ in(X1,relation_dom(relation_rng_restriction(X2,esk10_1(X3)))),
inference(rename_variables,[],[i_0_2000]) ).
cnf(i_0_2316,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2349,plain,
in(relation_rng_restriction(X1,esk10_1(X2)),powerset(X2)),
inference(rename_variables,[],[i_0_1988]) ).
cnf(i_0_2460,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_2461,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2469,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2542,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_2543,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_3427,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_3464,plain,
~ in(X1,relation_dom(relation_rng_restriction(X2,esk10_1(X3)))),
inference(rename_variables,[],[i_0_2000]) ).
cnf(i_0_3477,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_3522,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_3525,plain,
function(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_3584,plain,
relation(relation_rng_restriction(X1,empty_set)),
inference(rename_variables,[],[i_0_1990]) ).
cnf(i_0_2096,plain,
~ in(powerset(X1),powerset(relation_dom(relation_rng_restriction(esk7_0,esk12_0)))),
inference(scs_inference,[],[i_0_96,i_0_306,i_0_1959,i_0_1876,i_0_1986,i_0_1990,i_0_2063,i_0_1995,i_0_1836,i_0_1988,i_0_1853,i_0_1861,i_0_2075,i_0_1971,i_0_2069,i_0_1978,i_0_1882,i_0_1969,i_0_2030,i_0_2015,i_0_2000,i_0_1960,i_0_2067,i_0_1920,i_0_1910,i_0_1924,i_0_1923,i_0_106,i_0_114,i_0_105,i_0_107,i_0_97,i_0_100,i_0_94,i_0_108,i_0_115,i_0_142,i_0_144,i_0_145,i_0_146,i_0_147,i_0_148,i_0_149,i_0_91,i_0_93,i_0_156,i_0_158,i_0_155,i_0_143,i_0_159,i_0_95,i_0_86,i_0_154,i_0_150,i_0_157,i_0_166,i_0_163,i_0_98]) ).
cnf(c_0_145,negated_conjecture,
~ one_to_one(relation_rng_restriction(esk16_0,esk17_0)),
i_0_96 ).
cnf(c_0_146,plain,
( in(esk2_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_89 ).
cnf(c_0_147,negated_conjecture,
( in(esk2_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0)))
| ~ function(relation_rng_restriction(esk16_0,esk17_0))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_148,plain,
( function(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
i_0_93 ).
cnf(c_0_149,negated_conjecture,
function(esk17_0),
i_0_131 ).
cnf(c_0_150,negated_conjecture,
relation(esk17_0),
i_0_122 ).
cnf(c_0_151,plain,
( in(esk1_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_90 ).
cnf(c_0_152,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_87 ).
cnf(c_0_153,plain,
( apply(X1,X2) = apply(X3,X2)
| ~ in(X2,relation_dom(X1))
| X1 != relation_rng_restriction(X4,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X1)
| ~ function(X1) ),
i_0_83 ).
cnf(c_0_154,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
i_0_97 ).
cnf(c_0_155,plain,
( in(esk2_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0)))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150])]) ).
cnf(c_0_156,negated_conjecture,
( in(esk1_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0)))
| ~ function(relation_rng_restriction(esk16_0,esk17_0))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
( apply(relation_rng_restriction(esk16_0,esk17_0),esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(relation_rng_restriction(esk16_0,esk17_0),esk2_1(relation_rng_restriction(esk16_0,esk17_0)))
| ~ function(relation_rng_restriction(esk16_0,esk17_0))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_152]) ).
cnf(c_0_158,plain,
( apply(relation_rng_restriction(X1,X2),X3) = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X1,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_153]),c_0_154]),c_0_148]) ).
cnf(c_0_159,plain,
in(esk2_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_150])]) ).
cnf(c_0_160,plain,
( in(esk1_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0)))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_148]),c_0_149]),c_0_150])]) ).
cnf(c_0_161,plain,
( apply(relation_rng_restriction(esk16_0,esk17_0),esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(relation_rng_restriction(esk16_0,esk17_0),esk2_1(relation_rng_restriction(esk16_0,esk17_0)))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_148]),c_0_149]),c_0_150])]) ).
cnf(c_0_162,plain,
apply(relation_rng_restriction(esk16_0,esk17_0),esk2_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(esk17_0,esk2_1(relation_rng_restriction(esk16_0,esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_149]),c_0_150])]) ).
cnf(c_0_163,plain,
in(esk1_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(relation_rng_restriction(esk16_0,esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_154]),c_0_150])]) ).
cnf(c_0_164,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(X3))
| X3 != relation_rng_restriction(X4,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X3)
| ~ function(X3) ),
i_0_84 ).
cnf(c_0_165,plain,
( apply(relation_rng_restriction(esk16_0,esk17_0),esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(esk17_0,esk2_1(relation_rng_restriction(esk16_0,esk17_0)))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(rw,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,plain,
apply(relation_rng_restriction(esk16_0,esk17_0),esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(esk17_0,esk1_1(relation_rng_restriction(esk16_0,esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_163]),c_0_149]),c_0_150])]) ).
cnf(c_0_167,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_99 ).
cnf(c_0_168,plain,
( in(X1,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_164]),c_0_154]),c_0_148]) ).
cnf(c_0_169,plain,
( apply(esk17_0,esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(esk17_0,esk2_1(relation_rng_restriction(esk16_0,esk17_0)))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( esk1_1(relation_rng_restriction(esk16_0,esk17_0)) != esk2_1(relation_rng_restriction(esk16_0,esk17_0))
| ~ function(relation_rng_restriction(esk16_0,esk17_0))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_167]) ).
cnf(c_0_171,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_81 ).
cnf(c_0_172,plain,
in(esk1_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_163]),c_0_149]),c_0_150])]) ).
cnf(c_0_173,negated_conjecture,
one_to_one(esk17_0),
i_0_120 ).
cnf(c_0_174,plain,
apply(esk17_0,esk1_1(relation_rng_restriction(esk16_0,esk17_0))) = apply(esk17_0,esk2_1(relation_rng_restriction(esk16_0,esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_154]),c_0_150])]) ).
cnf(c_0_175,plain,
( esk1_1(relation_rng_restriction(esk16_0,esk17_0)) != esk2_1(relation_rng_restriction(esk16_0,esk17_0))
| ~ relation(relation_rng_restriction(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_148]),c_0_149]),c_0_150])]) ).
cnf(c_0_176,plain,
( X1 = esk1_1(relation_rng_restriction(esk16_0,esk17_0))
| apply(esk17_0,X1) != apply(esk17_0,esk2_1(relation_rng_restriction(esk16_0,esk17_0)))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_149]),c_0_150])]),c_0_174]) ).
cnf(c_0_177,plain,
in(esk2_1(relation_rng_restriction(esk16_0,esk17_0)),relation_dom(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_159]),c_0_149]),c_0_150])]) ).
cnf(c_0_178,plain,
esk1_1(relation_rng_restriction(esk16_0,esk17_0)) != esk2_1(relation_rng_restriction(esk16_0,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_154]),c_0_150])]) ).
cnf(c_0_179,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU048+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:41:51 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 147.21/116.49 % Version : CSE_E---1.7
% 147.21/116.49 % Problem : theBenchmark.p
% 147.21/116.49 % SZS status Theorem for theBenchmark.p
% 147.21/116.49 % SZS output start CNFRefutation
% See solution above
% 153.21/122.43 % Total time : 116.148s
%------------------------------------------------------------------------------