%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV411+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 05:22:06 PM UTC 2026
% Result : Theorem 0.13s 1.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 53)
% Comments :
%------------------------------------------------------------------------------
fof(l47_co,conjecture,
! [X1] :
( ! [X2] :
( contains_slb(X1,X2)
=> ? [X3] : pair_in_list(X1,X2,X3) )
=> ! [X4,X5,X6] :
( contains_slb(insert_slb(X1,pair(X5,X6)),X4)
=> ? [X7] : pair_in_list(insert_slb(X1,pair(X5,X6)),X4,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l47_co) ).
fof(ax22,axiom,
! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(ax20,axiom,
! [X1] : ~ contains_slb(create_slb,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax20) ).
fof(ax23,axiom,
! [X1,X2,X3,X4,X5] :
( pair_in_list(insert_slb(X1,pair(X2,X4)),X3,X5)
<=> ( pair_in_list(X1,X3,X5)
| ( X2 = X3
& X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
fof(ax25,axiom,
! [X1,X2,X3,X4] :
( ( X2 != X3
& contains_slb(X1,X3) )
=> remove_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(remove_slb(X1,X3),pair(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax25) ).
fof(ax29,axiom,
! [X1,X2,X3,X4] :
( strictly_less_than(X4,X3)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax29) ).
fof(ax30,axiom,
! [X1,X2,X3,X4] :
( less_than(X3,X4)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax30) ).
fof(ax21,axiom,
! [X1,X2,X3,X4] :
( contains_slb(insert_slb(X1,pair(X2,X4)),X3)
<=> ( contains_slb(X1,X3)
| X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax21) ).
fof(ax27,axiom,
! [X1,X2,X3,X4] :
( ( X2 != X3
& contains_slb(X1,X3) )
=> lookup_slb(insert_slb(X1,pair(X2,X4)),X3) = lookup_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax27) ).
fof(ax26,axiom,
! [X1,X2,X3] : lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax26) ).
fof(ax24,axiom,
! [X1,X2,X3] : remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax24) ).
fof(ax19,axiom,
! [X1,X2,X3] : isnonempty_slb(insert_slb(X1,pair(X2,X3))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax19) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( less_than(X1,X2)
& less_than(X2,X3) )
=> less_than(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',transitivity) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(reflexivity,axiom,
! [X1] : less_than(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',reflexivity) ).
fof(bottom_smallest,axiom,
! [X1] : less_than(bottom,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',bottom_smallest) ).
fof(ax28,axiom,
! [X1] : update_slb(create_slb,X1) = create_slb,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax28) ).
fof(ax18,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax18) ).
fof(i_0_19,negated_conjecture,
~ ! [X1] :
( ! [X2] :
( contains_slb(X1,X2)
=> ? [X3] : pair_in_list(X1,X2,X3) )
=> ! [X4,X5,X6] :
( contains_slb(insert_slb(X1,pair(X5,X6)),X4)
=> ? [X7] : pair_in_list(insert_slb(X1,pair(X5,X6)),X4,X7) ) ),
inference(assume_negation,[status(cth)],[l47_co]) ).
fof(i_0_20,plain,
! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
inference(fof_simplification,[status(thm)],[ax22]) ).
fof(i_0_21,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[stricly_smaller_definition]) ).
fof(i_0_22,plain,
! [X1] : ~ contains_slb(create_slb,X1),
inference(fof_simplification,[status(thm)],[ax20]) ).
fof(i_0_23,plain,
! [X81,X82,X83,X84,X85] :
( ( X82 = X83
| pair_in_list(X81,X83,X85)
| ~ pair_in_list(insert_slb(X81,pair(X82,X84)),X83,X85) )
& ( X84 = X85
| pair_in_list(X81,X83,X85)
| ~ pair_in_list(insert_slb(X81,pair(X82,X84)),X83,X85) )
& ( ~ pair_in_list(X81,X83,X85)
| pair_in_list(insert_slb(X81,pair(X82,X84)),X83,X85) )
& ( X82 != X83
| X84 != X85
| pair_in_list(insert_slb(X81,pair(X82,X84)),X83,X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_24,plain,
! [X89,X90,X91,X92] :
( X90 = X91
| ~ contains_slb(X89,X91)
| remove_slb(insert_slb(X89,pair(X90,X92)),X91) = insert_slb(remove_slb(X89,X91),pair(X90,X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).
fof(i_0_25,negated_conjecture,
! [X110,X115] :
( ( ~ contains_slb(esk1_0,X110)
| pair_in_list(esk1_0,X110,esk2_1(X110)) )
& contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)
& ~ pair_in_list(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0,X115) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_19])])])]) ).
fof(i_0_26,plain,
! [X101,X102,X103,X104] :
( ~ strictly_less_than(X104,X103)
| update_slb(insert_slb(X101,pair(X102,X104)),X103) = insert_slb(update_slb(X101,X103),pair(X102,X103)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
fof(i_0_27,plain,
! [X105,X106,X107,X108] :
( ~ less_than(X107,X108)
| update_slb(insert_slb(X105,pair(X106,X108)),X107) = insert_slb(update_slb(X105,X107),pair(X106,X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
fof(i_0_28,plain,
! [X75,X76,X77,X78] :
( ( ~ contains_slb(insert_slb(X75,pair(X76,X78)),X77)
| contains_slb(X75,X77)
| X76 = X77 )
& ( ~ contains_slb(X75,X77)
| contains_slb(insert_slb(X75,pair(X76,X78)),X77) )
& ( X76 != X77
| contains_slb(insert_slb(X75,pair(X76,X78)),X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_29,plain,
! [X96,X97,X98,X99] :
( X97 = X98
| ~ contains_slb(X96,X98)
| lookup_slb(insert_slb(X96,pair(X97,X99)),X98) = lookup_slb(X96,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).
fof(i_0_30,plain,
! [X93,X94,X95] : lookup_slb(insert_slb(X93,pair(X94,X95)),X94) = X95,
inference(variable_rename,[status(thm)],[ax26]) ).
fof(i_0_31,plain,
! [X86,X87,X88] : remove_slb(insert_slb(X86,pair(X87,X88)),X87) = X86,
inference(variable_rename,[status(thm)],[ax24]) ).
fof(i_0_32,plain,
! [X79,X80] : ~ pair_in_list(create_slb,X79,X80),
inference(variable_rename,[status(thm)],[i_0_20]) ).
fof(i_0_33,plain,
! [X71,X72,X73] : isnonempty_slb(insert_slb(X71,pair(X72,X73))),
inference(variable_rename,[status(thm)],[ax19]) ).
fof(i_0_34,plain,
! [X62,X63,X64] :
( ~ less_than(X62,X63)
| ~ less_than(X63,X64)
| less_than(X62,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
fof(i_0_35,plain,
! [X68,X69] :
( ( less_than(X68,X69)
| ~ strictly_less_than(X68,X69) )
& ( ~ less_than(X69,X68)
| ~ strictly_less_than(X68,X69) )
& ( ~ less_than(X68,X69)
| less_than(X69,X68)
| strictly_less_than(X68,X69) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_21])])]) ).
fof(i_0_36,plain,
! [X65,X66] :
( less_than(X65,X66)
| less_than(X66,X65) ),
inference(variable_rename,[status(thm)],[totality]) ).
fof(i_0_37,plain,
! [X74] : ~ contains_slb(create_slb,X74),
inference(variable_rename,[status(thm)],[i_0_22]) ).
fof(i_0_38,plain,
! [X67] : less_than(X67,X67),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(i_0_39,plain,
! [X70] : less_than(bottom,X70),
inference(variable_rename,[status(thm)],[bottom_smallest]) ).
fof(i_0_40,plain,
! [X100] : update_slb(create_slb,X100) = create_slb,
inference(variable_rename,[status(thm)],[ax28]) ).
fof(i_0_41,plain,
~ isnonempty_slb(create_slb),
inference(fof_simplification,[status(thm)],[ax18]) ).
cnf(i_0_42,plain,
( X1 = X2
| pair_in_list(X3,X2,X4)
| ~ pair_in_list(insert_slb(X3,pair(X1,X5)),X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_43,plain,
( X1 = X2
| pair_in_list(X3,X4,X2)
| ~ pair_in_list(insert_slb(X3,pair(X5,X1)),X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_44,plain,
( pair_in_list(insert_slb(X1,pair(X4,X5)),X2,X3)
| ~ pair_in_list(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_45,plain,
( X1 = X2
| remove_slb(insert_slb(X3,pair(X1,X4)),X2) = insert_slb(remove_slb(X3,X2),pair(X1,X4))
| ~ contains_slb(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_46,negated_conjecture,
~ pair_in_list(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0,X1),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_47,plain,
( update_slb(insert_slb(X3,pair(X4,X1)),X2) = insert_slb(update_slb(X3,X2),pair(X4,X2))
| ~ strictly_less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_48,plain,
( update_slb(insert_slb(X3,pair(X4,X2)),X1) = insert_slb(update_slb(X3,X1),pair(X4,X2))
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_49,plain,
( contains_slb(X1,X4)
| X2 = X4
| ~ contains_slb(insert_slb(X1,pair(X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_50,plain,
( pair_in_list(insert_slb(X5,pair(X1,X3)),X2,X4)
| X1 != X2
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_51,plain,
( X1 = X2
| lookup_slb(insert_slb(X3,pair(X1,X4)),X2) = lookup_slb(X3,X2)
| ~ contains_slb(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_52,plain,
( contains_slb(insert_slb(X1,pair(X3,X4)),X2)
| ~ contains_slb(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_53,plain,
( contains_slb(insert_slb(X3,pair(X1,X4)),X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_54,plain,
lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_55,plain,
remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_56,plain,
~ pair_in_list(create_slb,X1,X2),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_57,plain,
isnonempty_slb(insert_slb(X1,pair(X2,X3))),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_58,negated_conjecture,
( pair_in_list(esk1_0,X1,esk2_1(X1))
| ~ contains_slb(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_59,negated_conjecture,
contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_60,plain,
( less_than(X1,X3)
| ~ less_than(X1,X2)
| ~ less_than(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_61,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_62,plain,
( ~ less_than(X1,X2)
| ~ strictly_less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_63,plain,
( less_than(X1,X2)
| ~ strictly_less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_64,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_65,plain,
~ contains_slb(create_slb,X1),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_66,plain,
less_than(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_67,plain,
less_than(bottom,X1),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_68,plain,
update_slb(create_slb,X1) = create_slb,
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_69,plain,
~ isnonempty_slb(create_slb),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_70,axiom,
X1 = X1 ).
cnf(i_0_71,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_72,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_73,axiom,
( X1 != X2
| insert_slb(X1,X3) = insert_slb(X2,X3) ) ).
cnf(i_0_74,axiom,
( X1 != X2
| insert_slb(X3,X1) = insert_slb(X3,X2) ) ).
cnf(i_0_75,axiom,
( X1 != X2
| remove_slb(X1,X3) = remove_slb(X2,X3) ) ).
cnf(i_0_76,axiom,
( X1 != X2
| remove_slb(X3,X1) = remove_slb(X3,X2) ) ).
cnf(i_0_77,axiom,
( X1 != X2
| update_slb(X1,X3) = update_slb(X2,X3) ) ).
cnf(i_0_78,axiom,
( X1 != X2
| update_slb(X3,X1) = update_slb(X3,X2) ) ).
cnf(i_0_79,axiom,
( X1 != X2
| lookup_slb(X1,X3) = lookup_slb(X2,X3) ) ).
cnf(i_0_80,axiom,
( X1 != X2
| lookup_slb(X3,X1) = lookup_slb(X3,X2) ) ).
cnf(i_0_81,axiom,
( X1 != X2
| ~ pair_in_list(X1,X3,X4)
| pair_in_list(X2,X3,X4) ) ).
cnf(i_0_82,axiom,
( X1 != X2
| ~ pair_in_list(X3,X1,X4)
| pair_in_list(X3,X2,X4) ) ).
cnf(i_0_83,axiom,
( X1 != X2
| ~ pair_in_list(X3,X4,X1)
| pair_in_list(X3,X4,X2) ) ).
cnf(i_0_84,axiom,
( X1 != X2
| ~ contains_slb(X1,X3)
| contains_slb(X2,X3) ) ).
cnf(i_0_85,axiom,
( X1 != X2
| ~ contains_slb(X3,X1)
| contains_slb(X3,X2) ) ).
cnf(i_0_86,axiom,
( X1 != X2
| ~ strictly_less_than(X1,X3)
| strictly_less_than(X2,X3) ) ).
cnf(i_0_87,axiom,
( X1 != X2
| ~ strictly_less_than(X3,X1)
| strictly_less_than(X3,X2) ) ).
cnf(i_0_88,axiom,
( X1 != X2
| ~ less_than(X1,X3)
| less_than(X2,X3) ) ).
cnf(i_0_89,axiom,
( X1 != X2
| ~ less_than(X3,X1)
| less_than(X3,X2) ) ).
cnf(i_0_90,axiom,
( X1 != X2
| ~ isnonempty_slb(X1)
| isnonempty_slb(X2) ) ).
cnf(i_0_70_001,axiom,
X1 = X1 ).
cnf(i_0_71_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_72_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_73_004,axiom,
( X1 != X2
| insert_slb(X1,X3) = insert_slb(X2,X3) ) ).
cnf(i_0_74_005,axiom,
( X1 != X2
| insert_slb(X3,X1) = insert_slb(X3,X2) ) ).
cnf(i_0_75_006,axiom,
( X1 != X2
| remove_slb(X1,X3) = remove_slb(X2,X3) ) ).
cnf(i_0_76_007,axiom,
( X1 != X2
| remove_slb(X3,X1) = remove_slb(X3,X2) ) ).
cnf(i_0_77_008,axiom,
( X1 != X2
| update_slb(X1,X3) = update_slb(X2,X3) ) ).
cnf(i_0_78_009,axiom,
( X1 != X2
| update_slb(X3,X1) = update_slb(X3,X2) ) ).
cnf(i_0_79_010,axiom,
( X1 != X2
| lookup_slb(X1,X3) = lookup_slb(X2,X3) ) ).
cnf(i_0_80_011,axiom,
( X1 != X2
| lookup_slb(X3,X1) = lookup_slb(X3,X2) ) ).
cnf(i_0_81_012,axiom,
( X1 != X2
| ~ pair_in_list(X1,X3,X4)
| pair_in_list(X2,X3,X4) ) ).
cnf(i_0_82_013,axiom,
( X1 != X2
| ~ pair_in_list(X3,X1,X4)
| pair_in_list(X3,X2,X4) ) ).
cnf(i_0_83_014,axiom,
( X1 != X2
| ~ pair_in_list(X3,X4,X1)
| pair_in_list(X3,X4,X2) ) ).
cnf(i_0_84_015,axiom,
( X1 != X2
| ~ contains_slb(X1,X3)
| contains_slb(X2,X3) ) ).
cnf(i_0_85_016,axiom,
( X1 != X2
| ~ contains_slb(X3,X1)
| contains_slb(X3,X2) ) ).
cnf(i_0_86_017,axiom,
( X1 != X2
| ~ strictly_less_than(X1,X3)
| strictly_less_than(X2,X3) ) ).
cnf(i_0_87_018,axiom,
( X1 != X2
| ~ strictly_less_than(X3,X1)
| strictly_less_than(X3,X2) ) ).
cnf(i_0_88_019,axiom,
( X1 != X2
| ~ less_than(X1,X3)
| less_than(X2,X3) ) ).
cnf(i_0_89_020,axiom,
( X1 != X2
| ~ less_than(X3,X1)
| less_than(X3,X2) ) ).
cnf(i_0_90_021,axiom,
( X1 != X2
| ~ isnonempty_slb(X1)
| isnonempty_slb(X2) ) ).
cnf(i_0_91,plain,
contains_slb(insert_slb(X1,pair(X2,X3)),X2),
inference(equality_inference,[],[53]) ).
cnf(i_0_92,plain,
~ pair_in_list(esk1_0,esk3_0,X1),
inference(scs_inference,[],[i_0_46,i_0_44]) ).
cnf(i_0_93,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| ~ pair_in_list(X1,X4,X5) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_94,plain,
create_slb = update_slb(create_slb,X1),
inference(scs_inference,[],[i_0_46,i_0_68,i_0_44,i_0_71]) ).
cnf(i_0_95,plain,
~ pair_in_list(update_slb(create_slb,X1),X2,X3),
inference(scs_inference,[],[i_0_46,i_0_56,i_0_68,i_0_44,i_0_71,i_0_81]) ).
cnf(i_0_96,plain,
~ pair_in_list(insert_slb(esk1_0,pair(esk4_0,esk5_0)),lookup_slb(insert_slb(X1,pair(X2,esk3_0)),X2),X3),
inference(scs_inference,[],[i_0_46,i_0_56,i_0_68,i_0_54,i_0_44,i_0_71,i_0_81,i_0_82]) ).
cnf(i_0_97,plain,
lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_98,plain,
~ contains_slb(update_slb(create_slb,X1),X2),
inference(scs_inference,[],[i_0_46,i_0_56,i_0_65,i_0_68,i_0_54,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84]) ).
cnf(i_0_99,plain,
insert_slb(X1,pair(X2,X3)) != create_slb,
inference(scs_inference,[],[i_0_46,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90]) ).
cnf(i_0_100,plain,
~ contains_slb(esk1_0,esk3_0),
inference(scs_inference,[],[i_0_46,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90,i_0_58]) ).
cnf(i_0_101,plain,
( pair_in_list(esk1_0,X1,esk2_1(X1))
| ~ contains_slb(esk1_0,X1) ),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_102,plain,
esk4_0 = esk3_0,
inference(scs_inference,[],[i_0_46,i_0_59,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90,i_0_58,i_0_49]) ).
cnf(i_0_103,plain,
( ~ contains_slb(insert_slb(X1,pair(X2,X3)),X4)
| contains_slb(X1,X4)
| X2 = X4 ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_104,plain,
esk5_0 != esk2_1(esk3_0),
inference(scs_inference,[],[i_0_46,i_0_59,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90,i_0_58,i_0_49,i_0_50]) ).
cnf(i_0_105,plain,
~ pair_in_list(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0,X1),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_106,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| X2 != X4
| X3 != X5 ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_107,plain,
~ contains_slb(esk1_0,lookup_slb(insert_slb(X1,pair(X2,esk3_0)),X2)),
inference(scs_inference,[],[i_0_46,i_0_59,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_97,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90,i_0_58,i_0_49,i_0_50,i_0_85]) ).
cnf(i_0_108,plain,
lookup_slb(insert_slb(X1,pair(X2,X3)),X2) = X3,
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_109,plain,
insert_slb(X1,pair(X2,X3)) != update_slb(create_slb,X4),
inference(scs_inference,[],[i_0_46,i_0_59,i_0_56,i_0_65,i_0_69,i_0_68,i_0_54,i_0_97,i_0_57,i_0_44,i_0_71,i_0_81,i_0_82,i_0_84,i_0_90,i_0_58,i_0_49,i_0_50,i_0_85,i_0_72]) ).
cnf(i_0_110,plain,
~ pair_in_list(esk1_0,lookup_slb(insert_slb(X1,pair(X2,esk3_0)),X2),X3),
inference(scs_inference,[],[i_0_96,i_0_44]) ).
cnf(i_0_111,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| ~ pair_in_list(X1,X4,X5) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_112,plain,
esk3_0 = esk4_0,
inference(scs_inference,[],[i_0_96,i_0_102,i_0_44,i_0_71]) ).
cnf(i_0_113,plain,
esk5_0 != X1,
inference(scs_inference,[],[i_0_46,i_0_96,i_0_102,i_0_44,i_0_71,i_0_50]) ).
cnf(i_0_114,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| X2 != X4
| X3 != X5 ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_115,plain,
~ pair_in_list(remove_slb(insert_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),pair(X1,X2)),X1),esk3_0,X3),
inference(scs_inference,[],[i_0_46,i_0_96,i_0_102,i_0_55,i_0_44,i_0_71,i_0_50,i_0_81]) ).
cnf(i_0_116,plain,
remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_117,plain,
~ pair_in_list(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk4_0,X1),
inference(scs_inference,[],[i_0_46,i_0_96,i_0_102,i_0_55,i_0_44,i_0_71,i_0_50,i_0_81,i_0_82]) ).
cnf(i_0_118,plain,
~ contains_slb(remove_slb(insert_slb(esk1_0,pair(X1,X2)),X1),esk3_0),
inference(scs_inference,[],[i_0_46,i_0_100,i_0_96,i_0_102,i_0_55,i_0_116,i_0_44,i_0_71,i_0_50,i_0_81,i_0_82,i_0_84]) ).
cnf(i_0_119,plain,
remove_slb(insert_slb(X1,pair(X2,X3)),X2) = X1,
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_120,plain,
~ contains_slb(esk1_0,esk4_0),
inference(scs_inference,[],[i_0_46,i_0_100,i_0_96,i_0_102,i_0_55,i_0_116,i_0_44,i_0_71,i_0_50,i_0_81,i_0_82,i_0_84,i_0_85]) ).
cnf(i_0_121,plain,
~ pair_in_list(esk1_0,esk4_0,X1),
inference(scs_inference,[],[i_0_117,i_0_44]) ).
cnf(i_0_122,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| ~ pair_in_list(X1,X4,X5) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_123,plain,
X1 = lookup_slb(insert_slb(X2,pair(X3,X1)),X3),
inference(scs_inference,[],[i_0_117,i_0_54,i_0_44,i_0_71]) ).
cnf(i_0_124,plain,
$false,
inference(scs_inference,[],[i_0_46,i_0_117,i_0_102,i_0_54,i_0_44,i_0_71,i_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV411+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 00:05:57 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.13/1.51 % Version : CSE_E---1.7
% 0.13/1.51 % Problem : theBenchmark.p
% 0.13/1.51 % SZS status Theorem for theBenchmark.p
% 0.13/1.51 % SZS output start CNFRefutation
% See solution above
% 0.13/1.57 % Total time : 1.261s
%------------------------------------------------------------------------------