%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU321+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : 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 05:11:28 PM UTC 2026
% Result : Theorem 0.42s 1.61s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 254)
% Comments :
%------------------------------------------------------------------------------
fof(t50_subset_1,axiom,
! [X1] :
( X1 != empty_set
=> ! [X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( element(X3,X1)
=> ( ~ in(X3,X2)
=> in(X3,subset_complement(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
fof(l40_tops_1,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,subset_complement(the_carrier(X1),X2))
<=> ~ in(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(rc1_membered,axiom,
? [X1] :
( ~ empty(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(rc3_struct_0,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(t54_subset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(X1))
=> ~ ( in(X2,subset_complement(X1,X3))
& in(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_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(cc17_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).
fof(cc18_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).
fof(cc19_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).
fof(cc20_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
fof(cc16_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> v1_membered(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(cc14_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& natural(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).
fof(cc13_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).
fof(cc12_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).
fof(cc11_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).
fof(cc10_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( element(X2,X1)
=> v1_xcmplx_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_membered) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_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(cc4_membered,axiom,
! [X1] :
( v2_membered(X1)
=> v1_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).
fof(cc15_membered,axiom,
! [X1] :
( empty(X1)
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
fof(cc3_membered,axiom,
! [X1] :
( v3_membered(X1)
=> v2_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).
fof(cc2_membered,axiom,
! [X1] :
( v4_membered(X1)
=> v3_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).
fof(cc1_membered,axiom,
! [X1] :
( v5_membered(X1)
=> v4_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : one_sorted_str(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(fc6_membered,axiom,
( empty(empty_set)
& v1_membered(empty_set)
& v2_membered(empty_set)
& v3_membered(empty_set)
& v4_membered(empty_set)
& v5_membered(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(i_0_37,plain,
! [X1] :
( X1 != empty_set
=> ! [X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( element(X3,X1)
=> ( ~ in(X3,X2)
=> in(X3,subset_complement(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t50_subset_1]) ).
fof(i_0_38,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,subset_complement(the_carrier(X1),X2))
<=> ~ in(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l40_tops_1])]) ).
fof(i_0_39,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_40,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_41,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_42,plain,
? [X1] :
( ~ empty(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
inference(fof_simplification,[status(thm)],[rc1_membered]) ).
fof(i_0_43,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_44,plain,
! [X134,X135,X136] :
( ~ element(X136,powerset(X134))
| ~ in(X135,subset_complement(X134,X136))
| ~ in(X135,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_subset_1])]) ).
fof(i_0_45,plain,
! [X131,X132,X133] :
( X131 = empty_set
| ~ element(X132,powerset(X131))
| ~ element(X133,X131)
| in(X133,X132)
| in(X133,subset_complement(X131,X132)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_37])])]) ).
fof(i_0_46,plain,
! [X114,X115] :
( ~ element(X115,powerset(X114))
| element(subset_complement(X114,X115),powerset(X114)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(i_0_47,negated_conjecture,
( ~ empty_carrier(esk6_0)
& one_sorted_str(esk6_0)
& element(esk7_0,powerset(the_carrier(esk6_0)))
& element(esk8_0,the_carrier(esk6_0))
& ( ~ in(esk8_0,subset_complement(the_carrier(esk6_0),esk7_0))
| in(esk8_0,esk7_0) )
& ( in(esk8_0,subset_complement(the_carrier(esk6_0),esk7_0))
| ~ in(esk8_0,esk7_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_38])])]) ).
fof(i_0_48,plain,
! [X107,X108] :
( ~ element(X108,powerset(X107))
| subset_complement(X107,subset_complement(X107,X108)) = X108 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(i_0_49,plain,
! [X122,X123,X124] :
( ~ in(X122,X123)
| ~ element(X123,powerset(X124))
| element(X122,X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_50,plain,
! [X102,X103,X104] :
( ~ in(X102,X103)
| ~ element(X103,powerset(X104))
| ~ empty(X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_51,plain,
! [X72] :
( ( element(esk1_1(X72),powerset(the_carrier(X72)))
| empty_carrier(X72)
| ~ one_sorted_str(X72) )
& ( ~ empty(esk1_1(X72))
| empty_carrier(X72)
| ~ one_sorted_str(X72) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_39])])])]) ).
fof(i_0_52,plain,
! [X120,X121] :
( ( ~ element(X120,powerset(X121))
| subset(X120,X121) )
& ( ~ subset(X120,X121)
| element(X120,powerset(X121)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_53,plain,
! [X109,X110] :
( ~ in(X109,X110)
| ~ in(X110,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).
fof(i_0_54,plain,
! [X92,X93] :
( ( v1_membered(X93)
| ~ element(X93,powerset(X92))
| ~ v2_membered(X92) )
& ( v2_membered(X93)
| ~ element(X93,powerset(X92))
| ~ v2_membered(X92) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_membered])])])]) ).
fof(i_0_55,plain,
! [X94,X95] :
( ( v1_membered(X95)
| ~ element(X95,powerset(X94))
| ~ v3_membered(X94) )
& ( v2_membered(X95)
| ~ element(X95,powerset(X94))
| ~ v3_membered(X94) )
& ( v3_membered(X95)
| ~ element(X95,powerset(X94))
| ~ v3_membered(X94) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc18_membered])])])]) ).
fof(i_0_56,plain,
! [X96,X97] :
( ( v1_membered(X97)
| ~ element(X97,powerset(X96))
| ~ v4_membered(X96) )
& ( v2_membered(X97)
| ~ element(X97,powerset(X96))
| ~ v4_membered(X96) )
& ( v3_membered(X97)
| ~ element(X97,powerset(X96))
| ~ v4_membered(X96) )
& ( v4_membered(X97)
| ~ element(X97,powerset(X96))
| ~ v4_membered(X96) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_membered])])])]) ).
fof(i_0_57,plain,
! [X98,X99] :
( ( v1_membered(X99)
| ~ element(X99,powerset(X98))
| ~ v5_membered(X98) )
& ( v2_membered(X99)
| ~ element(X99,powerset(X98))
| ~ v5_membered(X98) )
& ( v3_membered(X99)
| ~ element(X99,powerset(X98))
| ~ v5_membered(X98) )
& ( v4_membered(X99)
| ~ element(X99,powerset(X98))
| ~ v5_membered(X98) )
& ( v5_membered(X99)
| ~ element(X99,powerset(X98))
| ~ v5_membered(X98) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_membered])])])]) ).
fof(i_0_58,plain,
! [X90,X91] :
( ~ v1_membered(X90)
| ~ element(X91,powerset(X90))
| v1_membered(X91) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc16_membered])])]) ).
fof(i_0_59,plain,
! [X100,X101] :
( ~ element(X100,X101)
| empty(X101)
| in(X100,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_60,plain,
! [X118,X119] :
( ~ in(X118,X119)
| element(X118,X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_61,plain,
! [X87,X88] :
( ( v1_xcmplx_0(X88)
| ~ element(X88,X87)
| ~ v5_membered(X87) )
& ( natural(X88)
| ~ element(X88,X87)
| ~ v5_membered(X87) )
& ( v1_xreal_0(X88)
| ~ element(X88,X87)
| ~ v5_membered(X87) )
& ( v1_int_1(X88)
| ~ element(X88,X87)
| ~ v5_membered(X87) )
& ( v1_rat_1(X88)
| ~ element(X88,X87)
| ~ v5_membered(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc14_membered])])])]) ).
fof(i_0_62,plain,
! [X85,X86] :
( ( v1_xcmplx_0(X86)
| ~ element(X86,X85)
| ~ v4_membered(X85) )
& ( v1_xreal_0(X86)
| ~ element(X86,X85)
| ~ v4_membered(X85) )
& ( v1_int_1(X86)
| ~ element(X86,X85)
| ~ v4_membered(X85) )
& ( v1_rat_1(X86)
| ~ element(X86,X85)
| ~ v4_membered(X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc13_membered])])])]) ).
fof(i_0_63,plain,
! [X83,X84] :
( ( v1_xcmplx_0(X84)
| ~ element(X84,X83)
| ~ v3_membered(X83) )
& ( v1_xreal_0(X84)
| ~ element(X84,X83)
| ~ v3_membered(X83) )
& ( v1_rat_1(X84)
| ~ element(X84,X83)
| ~ v3_membered(X83) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_membered])])])]) ).
fof(i_0_64,plain,
! [X81,X82] :
( ( v1_xcmplx_0(X82)
| ~ element(X82,X81)
| ~ v2_membered(X81) )
& ( v1_xreal_0(X82)
| ~ element(X82,X81)
| ~ v2_membered(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])]) ).
fof(i_0_65,plain,
! [X79,X80] :
( ~ v1_membered(X79)
| ~ element(X80,X79)
| v1_xcmplx_0(X80) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])]) ).
fof(i_0_66,plain,
! [X126,X127] :
( ~ in(X126,X127)
| ~ empty(X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_67,plain,
! [X117] :
( empty_carrier(X117)
| ~ one_sorted_str(X117)
| ~ empty(the_carrier(X117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])]) ).
fof(i_0_68,plain,
! [X112] : element(esk4_1(X112),X112),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_69,plain,
! [X105,X106] :
( ~ empty(X105)
| X105 = X106
| ~ empty(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_70,plain,
! [X71] : subset(X71,X71),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_71,plain,
! [X77] :
( ~ v2_membered(X77)
| v1_membered(X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])]) ).
fof(i_0_72,plain,
! [X89] :
( ( v1_membered(X89)
| ~ empty(X89) )
& ( v2_membered(X89)
| ~ empty(X89) )
& ( v3_membered(X89)
| ~ empty(X89) )
& ( v4_membered(X89)
| ~ empty(X89) )
& ( v5_membered(X89)
| ~ empty(X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])]) ).
fof(i_0_73,plain,
! [X76] :
( ~ v3_membered(X76)
| v2_membered(X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])]) ).
fof(i_0_74,plain,
! [X75] :
( ~ v4_membered(X75)
| v3_membered(X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])]) ).
fof(i_0_75,plain,
! [X74] :
( ~ v5_membered(X74)
| v4_membered(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])]) ).
fof(i_0_76,plain,
! [X125] :
( ~ empty(X125)
| X125 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_77,plain,
( ~ empty(esk2_0)
& v1_membered(esk2_0)
& v2_membered(esk2_0)
& v3_membered(esk2_0)
& v4_membered(esk2_0)
& v5_membered(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_42])]) ).
fof(i_0_78,plain,
( one_sorted_str(esk5_0)
& ~ empty_carrier(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_43])]) ).
fof(i_0_79,plain,
one_sorted_str(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
cnf(i_0_80,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_81,plain,
( X1 = empty_set
| in(X3,X2)
| in(X3,subset_complement(X1,X2))
| ~ element(X2,powerset(X1))
| ~ element(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_82,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_83,negated_conjecture,
( in(esk8_0,esk7_0)
| ~ in(esk8_0,subset_complement(the_carrier(esk6_0),esk7_0)) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_84,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_85,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_86,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_87,negated_conjecture,
( in(esk8_0,subset_complement(the_carrier(esk6_0),esk7_0))
| ~ in(esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_88,plain,
( element(esk1_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_89,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_90,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_91,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_92,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_93,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_94,plain,
( v1_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_95,plain,
( v1_membered(X2)
| ~ v1_membered(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_96,plain,
( v2_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_97,plain,
( v2_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_98,plain,
( v2_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_99,plain,
( v2_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_100,plain,
( v3_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_101,plain,
( v3_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_102,plain,
( v3_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_103,plain,
( v4_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_104,plain,
( v4_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_105,plain,
( v5_membered(X1)
| ~ element(X1,powerset(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_106,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_107,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_108,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_109,plain,
( natural(X1)
| ~ element(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_110,plain,
( v1_int_1(X1)
| ~ element(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_111,plain,
( v1_int_1(X1)
| ~ element(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_112,plain,
( v1_rat_1(X1)
| ~ element(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_113,plain,
( v1_rat_1(X1)
| ~ element(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_114,plain,
( v1_rat_1(X1)
| ~ element(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_115,plain,
( v1_xreal_0(X1)
| ~ element(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_116,plain,
( v1_xreal_0(X1)
| ~ element(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_117,plain,
( v1_xreal_0(X1)
| ~ element(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_118,plain,
( v1_xreal_0(X1)
| ~ element(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_119,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_120,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_121,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_122,plain,
( v1_xcmplx_0(X1)
| ~ element(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_123,plain,
( v1_xcmplx_0(X2)
| ~ v1_membered(X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_124,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_125,plain,
( empty_carrier(X1)
| ~ empty(esk1_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_126,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_127,negated_conjecture,
element(esk7_0,powerset(the_carrier(esk6_0))),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_128,plain,
element(esk4_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_129,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_130,negated_conjecture,
element(esk8_0,the_carrier(esk6_0)),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_131,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_132,plain,
( v1_membered(X1)
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_133,plain,
( v1_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_134,plain,
( v2_membered(X1)
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_135,plain,
( v2_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_136,plain,
( v3_membered(X1)
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_137,plain,
( v3_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_138,plain,
( v4_membered(X1)
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_139,plain,
( v4_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_140,plain,
( v5_membered(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_141,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_142,plain,
~ empty(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_143,negated_conjecture,
~ empty_carrier(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_144,plain,
~ empty_carrier(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_145,plain,
v1_membered(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_146,plain,
v1_membered(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_147,plain,
v2_membered(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_148,plain,
v2_membered(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_149,plain,
v3_membered(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_150,plain,
v3_membered(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_151,plain,
v4_membered(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_152,plain,
v4_membered(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_153,plain,
v5_membered(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_154,plain,
v5_membered(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_155,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_156,negated_conjecture,
one_sorted_str(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_157,plain,
one_sorted_str(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_158,plain,
one_sorted_str(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_159,axiom,
X1 = X1 ).
cnf(i_0_160,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_161,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_162,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| ~ v4_membered(X1)
| v4_membered(X2) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| ~ v5_membered(X1)
| v5_membered(X2) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| ~ natural(X1)
| natural(X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| ~ v1_int_1(X1)
| v1_int_1(X2) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| ~ v1_rat_1(X1)
| v1_rat_1(X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ v1_xreal_0(X1)
| v1_xreal_0(X2) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ v1_xcmplx_0(X1)
| v1_xcmplx_0(X2) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ v1_membered(X1)
| v1_membered(X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ v2_membered(X1)
| v2_membered(X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ v3_membered(X1)
| v3_membered(X2) ) ).
cnf(i_0_159_001,axiom,
X1 = X1 ).
cnf(i_0_160_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_161_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_162_004,axiom,
( X1 != X2
| subset_complement(X1,X3) = subset_complement(X2,X3) ) ).
cnf(i_0_163_005,axiom,
( X1 != X2
| subset_complement(X3,X1) = subset_complement(X3,X2) ) ).
cnf(i_0_164_006,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_165_007,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_166_008,axiom,
( X1 != X2
| ~ v4_membered(X1)
| v4_membered(X2) ) ).
cnf(i_0_167_009,axiom,
( X1 != X2
| ~ v5_membered(X1)
| v5_membered(X2) ) ).
cnf(i_0_168_010,axiom,
( X1 != X2
| ~ natural(X1)
| natural(X2) ) ).
cnf(i_0_169_011,axiom,
( X1 != X2
| ~ v1_int_1(X1)
| v1_int_1(X2) ) ).
cnf(i_0_170_012,axiom,
( X1 != X2
| ~ v1_rat_1(X1)
| v1_rat_1(X2) ) ).
cnf(i_0_171_013,axiom,
( X1 != X2
| ~ v1_xreal_0(X1)
| v1_xreal_0(X2) ) ).
cnf(i_0_172_014,axiom,
( X1 != X2
| ~ v1_xcmplx_0(X1)
| v1_xcmplx_0(X2) ) ).
cnf(i_0_173_015,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_174_016,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_175_017,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_176_018,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_177_019,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_178_020,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_179_021,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_180_022,axiom,
( X1 != X2
| ~ v1_membered(X1)
| v1_membered(X2) ) ).
cnf(i_0_181_023,axiom,
( X1 != X2
| ~ v2_membered(X1)
| v2_membered(X2) ) ).
cnf(i_0_182_024,axiom,
( X1 != X2
| ~ v3_membered(X1)
| v3_membered(X2) ) ).
cnf(i_0_183,plain,
element(subset_complement(the_carrier(esk6_0),esk7_0),powerset(the_carrier(esk6_0))),
inference(scs_inference,[],[i_0_127,i_0_82]) ).
cnf(i_0_184,plain,
( ~ element(X1,powerset(X2))
| element(subset_complement(X2,X1),powerset(X2)) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_185,plain,
subset(esk7_0,the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_82,i_0_89]) ).
cnf(i_0_186,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_187,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_127,i_0_155,i_0_82,i_0_89,i_0_124]) ).
cnf(i_0_188,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_124]) ).
cnf(i_0_189,plain,
~ in(X1,esk4_1(powerset(empty_set))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86]) ).
cnf(i_0_190,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_191,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_192,plain,
v1_membered(esk4_1(powerset(esk2_0))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_147,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91]) ).
cnf(i_0_193,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_194,plain,
( ~ element(X1,powerset(X2))
| ~ v2_membered(X2)
| v1_membered(X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_195,plain,
v2_membered(esk4_1(powerset(esk2_0))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_147,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96]) ).
cnf(i_0_196,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_197,plain,
( ~ element(X1,powerset(X2))
| ~ v2_membered(X2)
| v2_membered(X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_198,plain,
v3_membered(esk4_1(powerset(esk2_0))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_147,i_0_149,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100]) ).
cnf(i_0_199,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_200,plain,
( ~ element(X1,powerset(X2))
| ~ v3_membered(X2)
| v3_membered(X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_201,plain,
v4_membered(esk4_1(powerset(esk2_0))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_147,i_0_149,i_0_151,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103]) ).
cnf(i_0_202,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_203,plain,
( ~ element(X1,powerset(X2))
| ~ v4_membered(X2)
| v4_membered(X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_204,plain,
v5_membered(esk4_1(powerset(esk2_0))),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105]) ).
cnf(i_0_205,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_206,plain,
( ~ element(X1,powerset(X2))
| ~ v5_membered(X2)
| v5_membered(X1) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_207,plain,
in(esk4_1(esk2_0),esk2_0),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_142,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107]) ).
cnf(i_0_208,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_209,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_210,plain,
natural(esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_142,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109]) ).
cnf(i_0_211,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_212,plain,
( ~ v5_membered(X1)
| natural(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_213,plain,
v1_int_1(esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_142,i_0_147,i_0_149,i_0_151,i_0_153,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110]) ).
cnf(i_0_214,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_215,plain,
( ~ v4_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_216,plain,
v1_int_1(esk4_1(empty_set)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_142,i_0_147,i_0_149,i_0_151,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111]) ).
cnf(i_0_217,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_218,plain,
( ~ v5_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_219,plain,
v1_rat_1(esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_142,i_0_147,i_0_149,i_0_151,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112]) ).
cnf(i_0_220,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_221,plain,
( ~ v3_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_222,plain,
v1_rat_1(esk4_1(empty_set)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_142,i_0_147,i_0_149,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113]) ).
cnf(i_0_223,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_224,plain,
( ~ v4_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_225,plain,
v1_xreal_0(esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_142,i_0_147,i_0_149,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115]) ).
cnf(i_0_226,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_227,plain,
( ~ v2_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_228,plain,
v1_xreal_0(esk4_1(empty_set)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116]) ).
cnf(i_0_229,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_230,plain,
( ~ v3_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_231,plain,
v1_xcmplx_0(esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119]) ).
cnf(i_0_232,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_233,plain,
( ~ v2_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_234,plain,
v1_xcmplx_0(esk4_1(empty_set)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120]) ).
cnf(i_0_235,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_236,plain,
( ~ v3_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_237,plain,
esk2_0 != empty_set,
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120,i_0_174]) ).
cnf(i_0_238,plain,
empty_set != esk2_0,
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120,i_0_174,i_0_175]) ).
cnf(i_0_239,plain,
~ in(esk2_0,esk4_1(esk2_0)),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120,i_0_174,i_0_175,i_0_90]) ).
cnf(i_0_240,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_241,plain,
( ~ in(X1,esk7_0)
| ~ in(X1,subset_complement(the_carrier(esk6_0),esk7_0)) ),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120,i_0_174,i_0_175,i_0_90,i_0_80]) ).
cnf(i_0_242,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_243,plain,
~ in(esk8_0,esk7_0),
inference(scs_inference,[],[i_0_127,i_0_128,i_0_190,i_0_193,i_0_196,i_0_199,i_0_202,i_0_205,i_0_208,i_0_211,i_0_214,i_0_217,i_0_220,i_0_223,i_0_226,i_0_229,i_0_232,i_0_142,i_0_147,i_0_149,i_0_150,i_0_151,i_0_152,i_0_153,i_0_154,i_0_155,i_0_82,i_0_89,i_0_124,i_0_86,i_0_91,i_0_96,i_0_100,i_0_103,i_0_105,i_0_107,i_0_109,i_0_110,i_0_111,i_0_112,i_0_113,i_0_115,i_0_116,i_0_119,i_0_120,i_0_174,i_0_175,i_0_90,i_0_80,i_0_87]) ).
cnf(i_0_244,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_246,plain,
~ in(esk8_0,subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_243,i_0_83]) ).
cnf(i_0_247,plain,
subset(subset_complement(the_carrier(esk6_0),esk7_0),the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_183,i_0_89]) ).
cnf(i_0_248,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_249,plain,
natural(esk4_1(empty_set)),
inference(scs_inference,[],[i_0_183,i_0_128,i_0_154,i_0_89,i_0_109]) ).
cnf(i_0_250,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_251,plain,
( ~ v5_membered(X1)
| natural(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_252,plain,
esk2_0 != esk4_1(powerset(empty_set)),
inference(scs_inference,[],[i_0_183,i_0_189,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174]) ).
cnf(i_0_253,plain,
~ in(X1,esk4_1(powerset(empty_set))),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_254,plain,
( X1 != esk8_0
| ~ in(X1,esk7_0) ),
inference(scs_inference,[],[i_0_243,i_0_183,i_0_189,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173]) ).
cnf(i_0_255,plain,
( one_sorted_str(X1)
| esk6_0 != X1 ),
inference(scs_inference,[],[i_0_156,i_0_243,i_0_183,i_0_189,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173,i_0_177]) ).
cnf(i_0_256,plain,
( v4_membered(X1)
| esk4_1(powerset(esk2_0)) != X1 ),
inference(scs_inference,[],[i_0_156,i_0_243,i_0_183,i_0_189,i_0_201,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173,i_0_177,i_0_166]) ).
cnf(i_0_257,plain,
( v5_membered(X1)
| esk4_1(powerset(esk2_0)) != X1 ),
inference(scs_inference,[],[i_0_156,i_0_243,i_0_183,i_0_189,i_0_201,i_0_204,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173,i_0_177,i_0_166,i_0_167]) ).
cnf(i_0_258,plain,
( natural(X1)
| esk4_1(esk2_0) != X1 ),
inference(scs_inference,[],[i_0_156,i_0_243,i_0_183,i_0_189,i_0_201,i_0_204,i_0_210,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173,i_0_177,i_0_166,i_0_167,i_0_168]) ).
cnf(i_0_259,plain,
( v1_int_1(X1)
| esk4_1(esk2_0) != X1 ),
inference(scs_inference,[],[i_0_156,i_0_243,i_0_183,i_0_189,i_0_201,i_0_204,i_0_210,i_0_213,i_0_207,i_0_128,i_0_154,i_0_89,i_0_109,i_0_174,i_0_173,i_0_177,i_0_166,i_0_167,i_0_168,i_0_169]) ).
cnf(i_0_260,plain,
~ in(esk8_0,esk7_0),
inference(equality_inference,[],[254]) ).
cnf(i_0_261,plain,
one_sorted_str(esk6_0),
inference(equality_inference,[],[255]) ).
cnf(i_0_262,plain,
v4_membered(esk4_1(powerset(esk2_0))),
inference(equality_inference,[],[256]) ).
cnf(i_0_263,plain,
v5_membered(esk4_1(powerset(esk2_0))),
inference(equality_inference,[],[257]) ).
cnf(i_0_264,plain,
natural(esk4_1(esk2_0)),
inference(equality_inference,[],[258]) ).
cnf(i_0_265,plain,
v1_int_1(esk4_1(esk2_0)),
inference(equality_inference,[],[259]) ).
cnf(i_0_266,plain,
subset(esk4_1(powerset(X1)),X1),
inference(scs_inference,[],[i_0_128,i_0_89]) ).
cnf(i_0_267,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_268,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_269,plain,
the_carrier(esk6_0) = empty_set,
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_243,i_0_128,i_0_89,i_0_81]) ).
cnf(i_0_270,plain,
( in(X1,subset_complement(X2,X3))
| ~ element(X3,powerset(X2))
| X2 = empty_set
| ~ element(X1,X2)
| in(X1,X3) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_271,plain,
empty_set = the_carrier(esk6_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_243,i_0_128,i_0_89,i_0_81,i_0_160]) ).
cnf(i_0_272,plain,
esk2_0 != the_carrier(esk6_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_243,i_0_128,i_0_89,i_0_81,i_0_160,i_0_161]) ).
cnf(i_0_273,plain,
( v1_rat_1(X1)
| esk4_1(esk2_0) != X1 ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170]) ).
cnf(i_0_274,plain,
v1_membered(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180]) ).
cnf(i_0_275,plain,
v2_membered(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181]) ).
cnf(i_0_276,plain,
v3_membered(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182]) ).
cnf(i_0_277,plain,
v1_membered(esk7_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95]) ).
cnf(i_0_278,plain,
( ~ element(X1,powerset(X2))
| v1_membered(X1)
| ~ v1_membered(X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_279,plain,
v2_membered(esk7_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97]) ).
cnf(i_0_280,plain,
( ~ element(X1,powerset(X2))
| ~ v3_membered(X2)
| v2_membered(X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_281,plain,
v1_xcmplx_0(esk8_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123]) ).
cnf(i_0_282,plain,
( ~ element(X1,X2)
| v1_xcmplx_0(X1)
| ~ v1_membered(X2) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_283,plain,
v1_membered(subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91]) ).
cnf(i_0_284,plain,
( ~ element(X1,powerset(X2))
| ~ v2_membered(X2)
| v1_membered(X1) ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_285,plain,
v2_membered(subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96]) ).
cnf(i_0_286,plain,
( ~ element(X1,powerset(X2))
| ~ v2_membered(X2)
| v2_membered(X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_287,plain,
v3_membered(esk7_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100]) ).
cnf(i_0_288,plain,
( ~ element(X1,powerset(X2))
| ~ v3_membered(X2)
| v3_membered(X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_289,plain,
v1_rat_1(esk8_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112]) ).
cnf(i_0_290,plain,
( ~ v3_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_291,plain,
v1_xreal_0(esk8_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115]) ).
cnf(i_0_292,plain,
( ~ v2_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_293,plain,
v1_xcmplx_0(esk4_1(esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_267,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119]) ).
cnf(i_0_294,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_295,plain,
( ~ v2_membered(X1)
| v1_xcmplx_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_296,plain,
v1_xreal_0(esk4_1(esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116]) ).
cnf(i_0_297,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_298,plain,
( ~ v3_membered(X1)
| v1_xreal_0(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_299,plain,
v4_membered(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166]) ).
cnf(i_0_300,plain,
v5_membered(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_219,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167]) ).
cnf(i_0_301,plain,
~ in(X1,the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174]) ).
cnf(i_0_302,plain,
( v1_xreal_0(X1)
| esk4_1(esk2_0) != X1 ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171]) ).
cnf(i_0_303,plain,
( v1_xcmplx_0(X1)
| esk4_1(esk2_0) != X1 ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172]) ).
cnf(i_0_304,plain,
v3_membered(subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101]) ).
cnf(i_0_305,plain,
( ~ element(X1,powerset(X2))
| ~ v4_membered(X2)
| v3_membered(X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_306,plain,
v4_membered(esk7_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104]) ).
cnf(i_0_307,plain,
( ~ element(X1,powerset(X2))
| ~ v5_membered(X2)
| v4_membered(X1) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_308,plain,
( element(X1,the_carrier(esk6_0))
| ~ in(X1,esk7_0) ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104,i_0_85]) ).
cnf(i_0_309,plain,
( ~ element(X1,powerset(X2))
| element(X3,X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_310,plain,
( ~ empty(the_carrier(esk6_0))
| ~ in(X1,esk7_0) ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104,i_0_85,i_0_86]) ).
cnf(i_0_311,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_312,plain,
v4_membered(subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104,i_0_85,i_0_86,i_0_103]) ).
cnf(i_0_313,plain,
( ~ element(X1,powerset(X2))
| ~ v4_membered(X2)
| v4_membered(X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_314,plain,
v5_membered(esk7_0),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104,i_0_85,i_0_86,i_0_103,i_0_105]) ).
cnf(i_0_315,plain,
( ~ element(X1,powerset(X2))
| ~ v5_membered(X2)
| v5_membered(X1) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_316,plain,
( empty(powerset(the_carrier(esk6_0)))
| in(esk7_0,powerset(the_carrier(esk6_0))) ),
inference(scs_inference,[],[i_0_127,i_0_130,i_0_246,i_0_237,i_0_187,i_0_219,i_0_225,i_0_231,i_0_243,i_0_183,i_0_128,i_0_267,i_0_294,i_0_154,i_0_152,i_0_150,i_0_148,i_0_146,i_0_89,i_0_81,i_0_160,i_0_161,i_0_170,i_0_180,i_0_181,i_0_182,i_0_95,i_0_97,i_0_123,i_0_91,i_0_96,i_0_100,i_0_112,i_0_115,i_0_119,i_0_116,i_0_166,i_0_167,i_0_174,i_0_171,i_0_172,i_0_101,i_0_104,i_0_85,i_0_86,i_0_103,i_0_105,i_0_107]) ).
cnf(i_0_317,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_318,plain,
v1_rat_1(esk4_1(esk2_0)),
inference(equality_inference,[],[273]) ).
cnf(i_0_319,plain,
v1_xreal_0(esk4_1(esk2_0)),
inference(equality_inference,[],[302]) ).
cnf(i_0_320,plain,
v1_xcmplx_0(esk4_1(esk2_0)),
inference(equality_inference,[],[303]) ).
cnf(i_0_321,plain,
v1_rat_1(esk4_1(esk7_0)),
inference(scs_inference,[],[i_0_314,i_0_128,i_0_114]) ).
cnf(i_0_322,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_323,plain,
( ~ v5_membered(X1)
| v1_rat_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_324,plain,
v1_int_1(esk4_1(esk7_0)),
inference(scs_inference,[],[i_0_306,i_0_314,i_0_128,i_0_322,i_0_114,i_0_110]) ).
cnf(i_0_325,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_326,plain,
( ~ v4_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_327,plain,
v1_int_1(esk8_0),
inference(scs_inference,[],[i_0_130,i_0_306,i_0_314,i_0_128,i_0_322,i_0_300,i_0_114,i_0_110,i_0_111]) ).
cnf(i_0_328,plain,
( ~ v5_membered(X1)
| v1_int_1(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_329,plain,
v5_membered(subset_complement(the_carrier(esk6_0),esk7_0)),
inference(scs_inference,[],[i_0_130,i_0_183,i_0_306,i_0_314,i_0_128,i_0_322,i_0_300,i_0_114,i_0_110,i_0_111,i_0_105]) ).
cnf(i_0_330,plain,
( ~ element(X1,powerset(X2))
| ~ v5_membered(X2)
| v5_membered(X1) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_331,plain,
empty(the_carrier(esk6_0)),
inference(scs_inference,[],[i_0_130,i_0_183,i_0_301,i_0_306,i_0_314,i_0_128,i_0_322,i_0_300,i_0_114,i_0_110,i_0_111,i_0_105,i_0_107]) ).
cnf(i_0_332,plain,
~ in(X1,the_carrier(esk6_0)),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_333,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_334,plain,
natural(esk4_1(esk7_0)),
inference(scs_inference,[],[i_0_130,i_0_183,i_0_301,i_0_306,i_0_314,i_0_128,i_0_322,i_0_325,i_0_300,i_0_114,i_0_110,i_0_111,i_0_105,i_0_107,i_0_109]) ).
cnf(i_0_335,plain,
element(esk4_1(X1),X1),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_336,plain,
( ~ v5_membered(X1)
| natural(X2)
| ~ element(X2,X1) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_337,plain,
the_carrier(esk6_0) != esk2_0,
inference(scs_inference,[],[i_0_130,i_0_183,i_0_301,i_0_306,i_0_314,i_0_128,i_0_322,i_0_325,i_0_300,i_0_142,i_0_114,i_0_110,i_0_111,i_0_105,i_0_107,i_0_109,i_0_175]) ).
cnf(i_0_338,plain,
~ in(X1,esk7_0),
inference(scs_inference,[],[i_0_130,i_0_183,i_0_301,i_0_306,i_0_314,i_0_128,i_0_322,i_0_325,i_0_300,i_0_142,i_0_114,i_0_110,i_0_111,i_0_105,i_0_107,i_0_109,i_0_175,i_0_310]) ).
cnf(i_0_339,plain,
$false,
inference(scs_inference,[],[i_0_143,i_0_156,i_0_130,i_0_183,i_0_301,i_0_306,i_0_314,i_0_128,i_0_322,i_0_325,i_0_300,i_0_142,i_0_114,i_0_110,i_0_111,i_0_105,i_0_107,i_0_109,i_0_175,i_0_310,i_0_126]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU321+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % 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 02:57:06 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 0.42/1.61 % Version : CSE_E---1.7
% 0.42/1.61 % Problem : theBenchmark.p
% 0.42/1.61 % SZS status Theorem for theBenchmark.p
% 0.42/1.61 % SZS output start CNFRefutation
% See solution above
% 0.95/2.15 % Total time : 1.271s
%------------------------------------------------------------------------------