%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:02:42 PM UTC 2026
% Result : Theorem 0.13s 5.67s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 132 ( 63 unt; 0 typ; 0 def)
% Number of atoms : 280 ( 279 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 314 ( 166 ~; 103 |; 33 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
knowheyan: $tType ).
tff(decl_sort2,type,
entry: $tType ).
tff(decl_sort3,type,
place: $tType ).
tff(decl_23,type,
entry_of: knowheyan > entry ).
tff(decl_24,type,
place_of: knowheyan > place ).
tff(decl_25,type,
a: knowheyan ).
tff(decl_26,type,
b: knowheyan ).
tff(decl_27,type,
c: knowheyan ).
tff(decl_28,type,
d: knowheyan ).
tff(decl_29,type,
collage_painting: entry ).
tff(decl_30,type,
holography: entry ).
tff(decl_31,type,
laser_etching: entry ).
tff(decl_32,type,
reconstituted_materials_sculpture: entry ).
tff(decl_33,type,
first: place ).
tff(decl_34,type,
second: place ).
tff(decl_35,type,
third: place ).
tff(decl_36,type,
fourth: place ).
tff(laser_etching_info,axiom,
( ! [X1: knowheyan] :
( ( entry_of(X1) = laser_etching )
=> ( ( place_of(X1) != second )
& ( X1 != a ) ) )
& ( entry_of(b) != laser_etching ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).
tff(collage_info,axiom,
! [X1: knowheyan] :
( ( entry_of(X1) = collage_painting )
=> ( ( place_of(X1) != second )
& ( place_of(X1) != first )
& ( X1 != c )
& ( X1 != a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).
tff(third_info,axiom,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
tff(only_places,axiom,
! [X3: place] :
( ( X3 = fourth )
| ( X3 = third )
| ( X3 = second )
| ( X3 = first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
tff(fourth_info,axiom,
! [X1: knowheyan] :
( ( place_of(X1) = fourth )
=> ( ( entry_of(X1) != holography )
& ( entry_of(X1) != reconstituted_materials_sculpture ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info) ).
tff(only_entries,axiom,
! [X2: entry] :
( ( X2 = reconstituted_materials_sculpture )
| ( X2 = laser_etching )
| ( X2 = holography )
| ( X2 = collage_painting ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).
tff(a_info,axiom,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
tff(fourth_info2,axiom,
( ! [X1: knowheyan] :
( ( entry_of(X1) = laser_etching )
=> ( place_of(X1) != fourth ) )
& ( place_of(b) != fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).
tff(first_not_fourth,axiom,
first != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_not_fourth) ).
tff(second_not_fourth,axiom,
second != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_not_fourth) ).
tff(third_not_fourth,axiom,
third != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_not_fourth) ).
tff(collage_painting_not_reconstituted_materials_sculpture,axiom,
collage_painting != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_painting_not_reconstituted_materials_sculpture) ).
tff(holography_not_reconstituted_materials_sculpture,axiom,
holography != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holography_not_reconstituted_materials_sculpture) ).
tff(laser_etching_not_reconstituted_materials_sculpture,axiom,
laser_etching != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_not_reconstituted_materials_sculpture) ).
tff(unique_places,axiom,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( place_of(X1) != place_of(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_places) ).
tff(places,conjecture,
( ( place_of(d) = fourth )
& ( place_of(c) = first )
& ( place_of(b) = second )
& ( place_of(a) = third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).
tff(b_not_c,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(a_not_b,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(a_not_d,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
tff(b_not_d,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
tff(c_not_d,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
tff(unique_entrys,axiom,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( entry_of(X1) != entry_of(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_entrys) ).
tff(a_not_c,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(c_0_23,plain,
( ! [X1: knowheyan] :
( ( entry_of(X1) = laser_etching )
=> ( ( place_of(X1) != second )
& ( X1 != a ) ) )
& ( entry_of(b) != laser_etching ) ),
inference(fof_simplification,[status(thm)],[laser_etching_info]) ).
tff(c_0_24,plain,
! [X1: knowheyan] :
( ( entry_of(X1) = collage_painting )
=> ( ( place_of(X1) != second )
& ( place_of(X1) != first )
& ( X1 != c )
& ( X1 != a ) ) ),
inference(fof_simplification,[status(thm)],[collage_info]) ).
tff(c_0_25,plain,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
inference(fof_simplification,[status(thm)],[third_info]) ).
tff(c_0_26,plain,
! [X7: place] :
( ( X7 = fourth )
| ( X7 = third )
| ( X7 = second )
| ( X7 = first ) ),
inference(variable_rename,[status(thm)],[only_places]) ).
tff(c_0_27,plain,
! [X1: knowheyan] :
( ( place_of(X1) = fourth )
=> ( ( entry_of(X1) != holography )
& ( entry_of(X1) != reconstituted_materials_sculpture ) ) ),
inference(fof_simplification,[status(thm)],[fourth_info]) ).
tff(c_0_28,plain,
! [X15: knowheyan] :
( ( ( entry_of(X15) != laser_etching )
| ( place_of(X15) != second ) )
& ( ( entry_of(X15) != laser_etching )
| ( X15 != a ) )
& ( entry_of(b) != laser_etching ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
tff(c_0_29,plain,
! [X6: entry] :
( ( X6 = reconstituted_materials_sculpture )
| ( X6 = laser_etching )
| ( X6 = holography )
| ( X6 = collage_painting ) ),
inference(variable_rename,[status(thm)],[only_entries]) ).
tff(c_0_30,plain,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
inference(fof_simplification,[status(thm)],[a_info]) ).
tff(c_0_31,plain,
! [X13: knowheyan] :
( ( ( entry_of(X13) != collage_painting )
| ( place_of(X13) != second ) )
& ( ( entry_of(X13) != collage_painting )
| ( place_of(X13) != first ) )
& ( ( entry_of(X13) != collage_painting )
| ( X13 != c ) )
& ( ( entry_of(X13) != collage_painting )
| ( X13 != a ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
tff(c_0_32,plain,
( ! [X1: knowheyan] :
( ( entry_of(X1) = laser_etching )
=> ( place_of(X1) != fourth ) )
& ( place_of(b) != fourth ) ),
inference(fof_simplification,[status(thm)],[fourth_info2]) ).
tff(c_0_33,plain,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
tcf(c_0_34,plain,
! [X3: place] :
( ( X3 = fourth )
| ( X3 = third )
| ( X3 = second )
| ( X3 = first ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
tff(c_0_35,plain,
first != fourth,
inference(fof_simplification,[status(thm)],[first_not_fourth]) ).
tff(c_0_36,plain,
second != fourth,
inference(fof_simplification,[status(thm)],[second_not_fourth]) ).
tff(c_0_37,plain,
third != fourth,
inference(fof_simplification,[status(thm)],[third_not_fourth]) ).
tff(c_0_38,plain,
! [X12: knowheyan] :
( ( ( place_of(X12) != fourth )
| ( entry_of(X12) != holography ) )
& ( ( place_of(X12) != fourth )
| ( entry_of(X12) != reconstituted_materials_sculpture ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
tcf(c_0_39,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != laser_etching )
| ( X1 != a ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_40,plain,
! [X2: entry] :
( ( X2 = reconstituted_materials_sculpture )
| ( X2 = laser_etching )
| ( X2 = holography )
| ( X2 = collage_painting ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
tff(c_0_41,plain,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
inference(fof_nnf,[status(thm)],[c_0_30]) ).
tcf(c_0_42,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( X1 != a ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tff(c_0_43,plain,
collage_painting != reconstituted_materials_sculpture,
inference(fof_simplification,[status(thm)],[collage_painting_not_reconstituted_materials_sculpture]) ).
tff(c_0_44,plain,
holography != reconstituted_materials_sculpture,
inference(fof_simplification,[status(thm)],[holography_not_reconstituted_materials_sculpture]) ).
tff(c_0_45,plain,
laser_etching != reconstituted_materials_sculpture,
inference(fof_simplification,[status(thm)],[laser_etching_not_reconstituted_materials_sculpture]) ).
tff(c_0_46,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( place_of(X1) != place_of(X4) ) ),
inference(fof_simplification,[status(thm)],[unique_places]) ).
tff(c_0_47,plain,
! [X14: knowheyan] :
( ( ( place_of(X14) != fourth )
| ( entry_of(X14) != laser_etching ) )
& ( place_of(b) != fourth ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
tcf(c_0_48,plain,
place_of(c) != third,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
tcf(c_0_49,plain,
! [X7: place,X3: place] :
( ( X7 = X3 )
| ( X7 = first )
| ( X7 = second )
| ( X7 = third )
| ( X3 = first )
| ( X3 = second )
| ( X3 = third ) ),
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
tff(c_0_50,plain,
first != fourth,
inference(fof_nnf,[status(thm)],[c_0_35]) ).
tff(c_0_51,plain,
second != fourth,
inference(fof_nnf,[status(thm)],[c_0_36]) ).
tff(c_0_52,plain,
third != fourth,
inference(fof_nnf,[status(thm)],[c_0_37]) ).
tff(c_0_53,negated_conjecture,
~ ( ( place_of(d) = fourth )
& ( place_of(c) = first )
& ( place_of(b) = second )
& ( place_of(a) = third ) ),
inference(assume_negation,[status(cth)],[places]) ).
tcf(c_0_54,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != reconstituted_materials_sculpture ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
tcf(c_0_55,plain,
entry_of(a) != laser_etching,
inference(er,[status(thm)],[c_0_39]) ).
tcf(c_0_56,plain,
! [X6: entry,X2: entry] :
( ( X6 = X2 )
| ( X6 = collage_painting )
| ( X6 = holography )
| ( X6 = laser_etching )
| ( X2 = collage_painting )
| ( X2 = holography )
| ( X2 = laser_etching ) ),
inference(spm,[status(thm)],[c_0_40,c_0_40]) ).
tcf(c_0_57,plain,
entry_of(a) != holography,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
tcf(c_0_58,plain,
entry_of(a) != collage_painting,
inference(er,[status(thm)],[c_0_42]) ).
tff(c_0_59,plain,
collage_painting != reconstituted_materials_sculpture,
inference(fof_nnf,[status(thm)],[c_0_43]) ).
tff(c_0_60,plain,
holography != reconstituted_materials_sculpture,
inference(fof_nnf,[status(thm)],[c_0_44]) ).
tff(c_0_61,plain,
laser_etching != reconstituted_materials_sculpture,
inference(fof_nnf,[status(thm)],[c_0_45]) ).
tff(c_0_62,plain,
! [X10: knowheyan,X11: knowheyan] :
( ( place_of(X10) != place_of(X11) )
| ( X10 = X11 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
tcf(c_0_63,plain,
place_of(b) != fourth,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
tcf(c_0_64,plain,
place_of(b) != third,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
tcf(c_0_65,plain,
! [X3: place] :
( ( X3 = third )
| ( X3 = second )
| ( X3 = first )
| ( place_of(c) = X3 )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
tcf(c_0_66,plain,
first != fourth,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
tcf(c_0_67,plain,
second != fourth,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
tcf(c_0_68,plain,
third != fourth,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
tcf(c_0_69,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( X1 != c ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_70,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != laser_etching ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
tcf(c_0_71,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != laser_etching )
| ( place_of(X1) != second ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_72,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != holography ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
tff(c_0_73,plain,
b != c,
inference(fof_simplification,[status(thm)],[b_not_c]) ).
tff(c_0_74,negated_conjecture,
( ( place_of(d) != fourth )
| ( place_of(c) != first )
| ( place_of(b) != second )
| ( place_of(a) != third ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
tcf(c_0_75,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != reconstituted_materials_sculpture )
| ( place_of(X1) = first )
| ( place_of(X1) = second )
| ( place_of(X1) = third ) ),
inference(spm,[status(thm)],[c_0_54,c_0_34]) ).
tcf(c_0_76,plain,
! [X2: entry] :
( ( X2 = laser_etching )
| ( X2 = holography )
| ( X2 = collage_painting )
| ( entry_of(a) = X2 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]) ).
tcf(c_0_77,plain,
place_of(a) != first,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
tcf(c_0_78,plain,
collage_painting != reconstituted_materials_sculpture,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
tcf(c_0_79,plain,
holography != reconstituted_materials_sculpture,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
tcf(c_0_80,plain,
laser_etching != reconstituted_materials_sculpture,
inference(split_conjunct,[status(thm)],[c_0_61]) ).
tff(c_0_81,plain,
a != b,
inference(fof_simplification,[status(thm)],[a_not_b]) ).
tcf(c_0_82,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( place_of(X1) != place_of(X4) )
| ( X1 = X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
tcf(c_0_83,plain,
( ( place_of(b) = first )
| ( place_of(b) = second ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_64]) ).
tcf(c_0_84,plain,
( ( entry_of(c) != reconstituted_materials_sculpture )
| ( place_of(c) = first )
| ( place_of(c) = second ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_65])]),c_0_66]),c_0_67]),c_0_68]) ).
tcf(c_0_85,plain,
entry_of(c) != collage_painting,
inference(er,[status(thm)],[c_0_69]) ).
tcf(c_0_86,plain,
( ( entry_of(c) != laser_etching )
| ( place_of(c) = first ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65])]),c_0_66]),c_0_67]),c_0_68]),c_0_71]) ).
tcf(c_0_87,plain,
( ( entry_of(c) != holography )
| ( place_of(c) = first )
| ( place_of(c) = second ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_65])]),c_0_66]),c_0_67]),c_0_68]) ).
tff(c_0_88,plain,
b != c,
inference(fof_nnf,[status(thm)],[c_0_73]) ).
tcf(c_0_89,negated_conjecture,
( ( place_of(d) != fourth )
| ( place_of(c) != first )
| ( place_of(b) != second )
| ( place_of(a) != third ) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
tcf(c_0_90,plain,
( ( place_of(a) = third )
| ( place_of(a) = second ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]),c_0_78]),c_0_79]),c_0_80]) ).
tff(c_0_91,plain,
a != b,
inference(fof_nnf,[status(thm)],[c_0_81]) ).
tcf(c_0_92,plain,
! [X1: knowheyan] :
( ( place_of(X1) != second )
| ( b = X1 )
| ( place_of(b) = first ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
tcf(c_0_93,plain,
( ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_40]),c_0_85]),c_0_86]),c_0_87]) ).
tcf(c_0_94,plain,
b != c,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
tcf(c_0_95,negated_conjecture,
( ( place_of(d) != fourth )
| ( place_of(c) != first )
| ( place_of(b) != second )
| ( place_of(a) = second ) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
tcf(c_0_96,plain,
a != b,
inference(split_conjunct,[status(thm)],[c_0_91]) ).
tcf(c_0_97,plain,
( ( place_of(b) = first )
| ( place_of(c) = first ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
tff(c_0_98,plain,
a != d,
inference(fof_simplification,[status(thm)],[a_not_d]) ).
tcf(c_0_99,negated_conjecture,
( ( place_of(d) != fourth )
| ( place_of(b) = first ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_95]),c_0_96]),c_0_97]),c_0_83]) ).
tff(c_0_100,plain,
a != d,
inference(fof_nnf,[status(thm)],[c_0_98]) ).
tcf(c_0_101,plain,
! [X1: knowheyan] :
( ( place_of(X1) != third )
| ( a = X1 )
| ( place_of(a) = second ) ),
inference(spm,[status(thm)],[c_0_82,c_0_90]) ).
tcf(c_0_102,negated_conjecture,
( ( place_of(b) = first )
| ( place_of(d) = first )
| ( place_of(d) = second )
| ( place_of(d) = third ) ),
inference(spm,[status(thm)],[c_0_99,c_0_34]) ).
tcf(c_0_103,plain,
a != d,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
tff(c_0_104,plain,
b != d,
inference(fof_simplification,[status(thm)],[b_not_d]) ).
tcf(c_0_105,negated_conjecture,
( ( place_of(a) = second )
| ( place_of(d) = second )
| ( place_of(d) = first )
| ( place_of(b) = first ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
tff(c_0_106,plain,
b != d,
inference(fof_nnf,[status(thm)],[c_0_104]) ).
tff(c_0_107,plain,
c != d,
inference(fof_simplification,[status(thm)],[c_not_d]) ).
tcf(c_0_108,negated_conjecture,
( ( place_of(b) = first )
| ( place_of(d) = first )
| ( place_of(d) = second ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_105]),c_0_96]) ).
tcf(c_0_109,plain,
b != d,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
tff(c_0_110,plain,
c != d,
inference(fof_nnf,[status(thm)],[c_0_107]) ).
tff(c_0_111,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( entry_of(X1) != entry_of(X4) ) ),
inference(fof_simplification,[status(thm)],[unique_entrys]) ).
tcf(c_0_112,plain,
! [X1: knowheyan] :
( ( place_of(X1) != first )
| ( c = X1 )
| ( place_of(b) = first ) ),
inference(spm,[status(thm)],[c_0_82,c_0_97]) ).
tcf(c_0_113,negated_conjecture,
( ( place_of(b) = first )
| ( place_of(d) = first ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_108]),c_0_109]) ).
tcf(c_0_114,plain,
c != d,
inference(split_conjunct,[status(thm)],[c_0_110]) ).
tff(c_0_115,plain,
! [X8: knowheyan,X9: knowheyan] :
( ( entry_of(X8) != entry_of(X9) )
| ( X8 = X9 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])]) ).
tff(c_0_116,plain,
a != c,
inference(fof_simplification,[status(thm)],[a_not_c]) ).
tcf(c_0_117,plain,
! [X1: knowheyan] :
( ( place_of(X1) != first )
| ( entry_of(c) != laser_etching )
| ( c = X1 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_86]) ).
tcf(c_0_118,negated_conjecture,
place_of(b) = first,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
tcf(c_0_119,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( entry_of(X1) != entry_of(X4) )
| ( X1 = X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
tff(c_0_120,plain,
a != c,
inference(fof_nnf,[status(thm)],[c_0_116]) ).
tcf(c_0_121,negated_conjecture,
entry_of(c) != laser_etching,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_94]) ).
tcf(c_0_122,plain,
! [X1: knowheyan] :
( ( a = X1 )
| ( entry_of(X1) = collage_painting )
| ( entry_of(X1) = holography )
| ( entry_of(X1) = laser_etching ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_76])]) ).
tcf(c_0_123,plain,
a != c,
inference(split_conjunct,[status(thm)],[c_0_120]) ).
tcf(c_0_124,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( place_of(X1) != second ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_125,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( place_of(X1) != first ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_126,negated_conjecture,
entry_of(c) = holography,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_85]),c_0_123]) ).
tcf(c_0_127,plain,
entry_of(b) != laser_etching,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_128,plain,
entry_of(b) != collage_painting,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_83]),c_0_125]) ).
tcf(c_0_129,negated_conjecture,
! [X1: knowheyan] :
( ( entry_of(X1) != holography )
| ( c = X1 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_126]) ).
tcf(c_0_130,plain,
entry_of(b) = holography,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_122]),c_0_128]),c_0_96]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/5.57 % Computer : n009.cluster.edu
% 0.08/5.57 % Model : x86_64 x86_64
% 0.08/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.57 % Memory : 8046.5625MB
% 0.08/5.57 % OS : Linux 6.8.0-71-generic
% 0.08/5.57 % CPULimit : 300
% 0.08/5.57 % WCLimit : 300
% 0.08/5.57 % DateTime : Mon Sep 21 03:53:48 UTC 2026
% 0.08/5.57 % CPUTime :
% 0.08/5.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.62 Running first-order theorem proving
% 0.13/5.62 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.67 % Version: 3.5.1
% 0.13/5.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.67 % Starting sh5l with 300s (1) cores
% 0.13/5.67 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 784964 completed with status 0
% 0.13/5.67 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/5.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/5.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.67 % No SInE strategy applied
% 0.13/5.67 % Search class: FGHPF-FFMF11-SFFFFFNN
% 0.13/5.67 % partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.13/5.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.67 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/5.67 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.13/5.67 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/5.67 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.13/5.67 % G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 784971 completed with status 0
% 0.13/5.67 % Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/5.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/5.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/5.67 % No SInE strategy applied
% 0.13/5.67 % Search class: FGHPF-FFMF11-SFFFFFNN
% 0.13/5.67 % partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.13/5.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/5.67 % Starting SubtermCWHack with 136s (1) cores
% 0.13/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/5.67 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.13/5.67 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/5.67 % Preprocessing time : 0.001 s
% 0.13/5.67 % Presaturation interreduction done
% 0.13/5.67
% 0.13/5.67 % Proof found!
% 0.13/5.67 % SZS status Theorem
% 0.13/5.67 % SZS output start CNFRefutation
% See solution above
% 0.13/5.67 % Parsed axioms : 47
% 0.13/5.67 % Removed by relevancy pruning/SinE : 0
% 0.13/5.67 % Initial clauses : 56
% 0.13/5.67 % Removed in clause preprocessing : 17
% 0.13/5.67 % Initial clauses in saturation : 39
% 0.13/5.67 % Processed clauses : 360
% 0.13/5.67 % ...of these trivial : 1
% 0.13/5.67 % ...subsumed : 230
% 0.13/5.67 % ...remaining for further processing : 129
% 0.13/5.67 % Other redundant clauses eliminated : 74
% 0.13/5.67 % Clauses deleted for lack of memory : 0
% 0.13/5.67 % Backward-subsumed : 15
% 0.13/5.67 % Backward-rewritten : 15
% 0.13/5.67 % Generated clauses : 1426
% 0.13/5.67 % ...of the previous two non-redundant : 779
% 0.13/5.67 % ...aggressively subsumed : 0
% 0.13/5.67 % Contextual simplify-reflections : 8
% 0.13/5.67 % Paramodulations : 887
% 0.13/5.67 % Factorizations : 463
% 0.13/5.67 % NegExts : 0
% 0.13/5.67 % Equation resolutions : 76
% 0.13/5.67 % Disequality decompositions : 0
% 0.13/5.67 % Total rewrite steps : 23
% 0.13/5.67 % ...of those cached : 20
% 0.13/5.67 % Propositional unsat checks : 0
% 0.13/5.67 % Propositional check models : 0
% 0.13/5.67 % Propositional check unsatisfiable : 0
% 0.13/5.67 % Propositional clauses : 0
% 0.13/5.67 % Propositional clauses after purity: 0
% 0.13/5.67 % Propositional unsat core size : 0
% 0.13/5.67 % Propositional preprocessing time : 0.000
% 0.13/5.67 % Propositional encoding time : 0.000
% 0.13/5.67 % Propositional solver time : 0.000
% 0.13/5.67 % Success case prop preproc time : 0.000
% 0.13/5.67 % Success case prop encoding time : 0.000
% 0.13/5.67 % Success case prop solver time : 0.000
% 0.13/5.67 % Current number of processed clauses : 57
% 0.13/5.67 % Positive orientable unit clauses : 3
% 0.13/5.67 % Positive unorientable unit clauses: 0
% 0.13/5.67 % Negative unit clauses : 23
% 0.13/5.67 % Non-unit-clauses : 31
% 0.13/5.67 % Current number of unprocessed clauses: 375
% 0.13/5.67 % ...number of literals in the above : 3870
% 0.13/5.67 % Current number of archived formulas : 0
% 0.13/5.67 % Current number of archived clauses : 69
% 0.13/5.67 % Clause-clause subsumption calls (NU) : 1073
% 0.13/5.67 % Rec. Clause-clause subsumption calls : 225
% 0.13/5.67 % Non-unit clause-clause subsumptions : 90
% 0.13/5.67 % Unit Clause-clause subsumption calls : 76
% 0.13/5.67 % Rewrite failures with RHS unbound : 0
% 0.13/5.67 % BW rewrite match attempts : 3
% 0.13/5.67 % BW rewrite match successes : 3
% 0.13/5.67 % Condensation attempts : 0
% 0.13/5.67 % Condensation successes : 0
% 0.13/5.67 % Termbank termtop insertions : 7753
% 0.13/5.67 % Search garbage collected termcells : 249
% 0.13/5.67
% 0.13/5.67 % -------------------------------------------------
% 0.13/5.67 % User time : 0.031 s
% 0.13/5.67 % System time : 0.005 s
% 0.13/5.67 % Total time : 0.035 s
% 0.13/5.67 % Maximum resident set size: 3656 pages
% 0.13/5.67
% 0.13/5.67 % -------------------------------------------------
% 0.13/5.67 % User time : 0.148 s
% 0.13/5.67 % System time : 0.021 s
% 0.13/5.67 % Total time : 0.170 s
% 0.13/5.67 % Maximum resident set size: 4608 pages
% 0.13/5.67 % E exiting
%------------------------------------------------------------------------------