%------------------------------------------------------------------------------
% File : E---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 : n001.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 02:01:59 PM UTC 2026
% Result : Theorem 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 123 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 296 ( 295 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 327 ( 154 ~; 128 |; 33 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 68 ( 0 sgn 68 !; 0 ?; 68 :)
% 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(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(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(a_info,axiom,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_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(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(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(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(third_info,axiom,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
tff(a_not_b,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
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(only_places,axiom,
! [X3: place] :
( ( X3 = fourth )
| ( X3 = third )
| ( X3 = second )
| ( X3 = first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
tff(b_not_c,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(a_not_c,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
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_d,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
tff(a_not_d,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
tff(c_not_d,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
tff(first_not_third,axiom,
first != third,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_not_third) ).
tff(second_not_third,axiom,
second != third,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_not_third) ).
tff(third_not_fourth,axiom,
third != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_not_fourth) ).
tff(c_0_20,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_21,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_22,plain,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
inference(fof_simplification,[status(thm)],[a_info]) ).
tff(c_0_23,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_24,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_20])])])]) ).
tff(c_0_25,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_21])])])])]) ).
tff(c_0_26,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( entry_of(X1) != entry_of(X4) ) ),
inference(fof_simplification,[status(thm)],[unique_entrys]) ).
tff(c_0_27,plain,
( ( entry_of(a) != holography )
& ( place_of(a) != first ) ),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
tcf(c_0_28,plain,
! [X2: entry] :
( ( X2 = reconstituted_materials_sculpture )
| ( X2 = laser_etching )
| ( X2 = holography )
| ( X2 = collage_painting ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_29,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( X1 != a ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tcf(c_0_30,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != laser_etching )
| ( X1 != a ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tff(c_0_31,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_26])])]) ).
tcf(c_0_32,plain,
entry_of(a) != holography,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
tcf(c_0_33,plain,
! [X6: entry,X2: entry] :
( ( X6 = X2 )
| ( X6 = laser_etching )
| ( X6 = holography )
| ( X6 = collage_painting )
| ( X2 = laser_etching )
| ( X2 = holography )
| ( X2 = collage_painting ) ),
inference(spm,[status(thm)],[c_0_28,c_0_28]) ).
tcf(c_0_34,plain,
entry_of(a) != collage_painting,
inference(er,[status(thm)],[c_0_29]) ).
tcf(c_0_35,plain,
entry_of(a) != laser_etching,
inference(er,[status(thm)],[c_0_30]) ).
tcf(c_0_36,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( entry_of(X1) != entry_of(X4) )
| ( X1 = X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_37,plain,
! [X2: entry] :
( ( X2 = collage_painting )
| ( X2 = holography )
| ( X2 = laser_etching )
| ( entry_of(a) = X2 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
tff(c_0_38,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_39,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_40,plain,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
inference(fof_simplification,[status(thm)],[third_info]) ).
tcf(c_0_41,plain,
! [X1: knowheyan] :
( ( a = X1 )
| ( entry_of(X1) = laser_etching )
| ( entry_of(X1) = holography )
| ( entry_of(X1) = collage_painting ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37])]) ).
tff(c_0_42,plain,
a != b,
inference(fof_simplification,[status(thm)],[a_not_b]) ).
tff(c_0_43,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_38])])])]) ).
tff(c_0_44,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_39])])])]) ).
tff(c_0_45,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( X1 != X4 )
=> ( place_of(X1) != place_of(X4) ) ),
inference(fof_simplification,[status(thm)],[unique_places]) ).
tff(c_0_46,plain,
( ( place_of(c) != third )
& ( place_of(b) != third ) ),
inference(fof_nnf,[status(thm)],[c_0_40]) ).
tff(c_0_47,plain,
! [X7: place] :
( ( X7 = fourth )
| ( X7 = third )
| ( X7 = second )
| ( X7 = first ) ),
inference(variable_rename,[status(thm)],[only_places]) ).
tcf(c_0_48,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( entry_of(X4) != holography )
| ( X1 = X4 )
| ( a = X1 )
| ( entry_of(X1) = collage_painting )
| ( entry_of(X1) = laser_etching ) ),
inference(spm,[status(thm)],[c_0_36,c_0_41]) ).
tff(c_0_49,plain,
a != b,
inference(fof_nnf,[status(thm)],[c_0_42]) ).
tcf(c_0_50,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( X1 != c ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tcf(c_0_51,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != reconstituted_materials_sculpture ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
tcf(c_0_52,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != holography ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
tcf(c_0_53,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) != laser_etching ) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
tff(c_0_54,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_45])])]) ).
tcf(c_0_55,plain,
place_of(b) != third,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
tcf(c_0_56,plain,
! [X3: place] :
( ( X3 = fourth )
| ( X3 = third )
| ( X3 = second )
| ( X3 = first ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
tcf(c_0_57,plain,
place_of(b) != fourth,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
tff(c_0_58,plain,
b != c,
inference(fof_simplification,[status(thm)],[b_not_c]) ).
tcf(c_0_59,plain,
entry_of(b) != laser_etching,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_60,plain,
! [X4: knowheyan,X1: knowheyan] :
( ( X4 = X1 )
| ( a = X4 )
| ( a = X1 )
| ( entry_of(X4) = laser_etching )
| ( entry_of(X4) = collage_painting )
| ( entry_of(X1) = collage_painting )
| ( entry_of(X1) = laser_etching ) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
tcf(c_0_61,plain,
a != b,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
tcf(c_0_62,plain,
place_of(c) != third,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
tcf(c_0_63,plain,
entry_of(c) != collage_painting,
inference(er,[status(thm)],[c_0_50]) ).
tcf(c_0_64,plain,
! [X1: knowheyan] :
( ( place_of(X1) != fourth )
| ( entry_of(X1) = collage_painting ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_28]),c_0_52]),c_0_53]) ).
tff(c_0_65,plain,
a != c,
inference(fof_simplification,[status(thm)],[a_not_c]) ).
tcf(c_0_66,plain,
! [X1: knowheyan,X4: knowheyan] :
( ( place_of(X1) != place_of(X4) )
| ( X1 = X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
tcf(c_0_67,plain,
( ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
tff(c_0_68,plain,
b != c,
inference(fof_nnf,[status(thm)],[c_0_58]) ).
tcf(c_0_69,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != laser_etching )
| ( place_of(X1) != second ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_70,plain,
! [X1: knowheyan] :
( ( a = X1 )
| ( b = X1 )
| ( entry_of(X1) = laser_etching )
| ( entry_of(X1) = collage_painting )
| ( entry_of(b) = collage_painting ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
tcf(c_0_71,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( place_of(X1) != second ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tcf(c_0_72,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
tcf(c_0_73,plain,
place_of(c) != fourth,
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
tff(c_0_74,plain,
a != c,
inference(fof_nnf,[status(thm)],[c_0_65]) ).
tcf(c_0_75,plain,
! [X1: knowheyan] :
( ( place_of(X1) != second )
| ( b = X1 )
| ( place_of(b) = first ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
tcf(c_0_76,plain,
b != c,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
tcf(c_0_77,plain,
! [X1: knowheyan] :
( ( place_of(X1) != second )
| ( b = X1 )
| ( a = X1 )
| ( entry_of(b) = collage_painting ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
tcf(c_0_78,plain,
( ( place_of(c) = first )
| ( place_of(c) = second ) ),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
tcf(c_0_79,plain,
a != c,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
tcf(c_0_80,plain,
( ( place_of(b) = first )
| ( place_of(c) = first )
| ( place_of(c) = fourth ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72]),c_0_76]) ).
tcf(c_0_81,plain,
! [X1: knowheyan] :
( ( entry_of(X1) != collage_painting )
| ( place_of(X1) != first ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
tcf(c_0_82,plain,
( ( entry_of(b) = collage_painting )
| ( place_of(c) = first ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_76]) ).
tcf(c_0_83,plain,
( ( place_of(c) = first )
| ( place_of(b) = first ) ),
inference(sr,[status(thm)],[c_0_80,c_0_73]) ).
tcf(c_0_84,plain,
place_of(c) = first,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
tcf(c_0_85,plain,
! [X7: place,X3: place] :
( ( X7 = X3 )
| ( X7 = fourth )
| ( X7 = second )
| ( X7 = first )
| ( X3 = fourth )
| ( X3 = second )
| ( X3 = first ) ),
inference(spm,[status(thm)],[c_0_56,c_0_56]) ).
tcf(c_0_86,plain,
! [X1: knowheyan] :
( ( place_of(X1) != first )
| ( c = X1 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_84]) ).
tcf(c_0_87,plain,
! [X3: place,X1: knowheyan] :
( ( b = X1 )
| ( X3 = first )
| ( X3 = second )
| ( X3 = fourth )
| ( place_of(X1) = X3 )
| ( place_of(X1) = first )
| ( place_of(X1) = fourth )
| ( place_of(b) = first ) ),
inference(spm,[status(thm)],[c_0_75,c_0_85]) ).
tcf(c_0_88,plain,
place_of(a) != first,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
tcf(c_0_89,plain,
! [X1: knowheyan,X3: place] :
( ( X3 = fourth )
| ( X3 = second )
| ( X3 = first )
| ( b = X1 )
| ( place_of(X1) = X3 )
| ( place_of(X1) = fourth )
| ( place_of(X1) = first ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_76]) ).
tcf(c_0_90,plain,
place_of(a) != fourth,
inference(spm,[status(thm)],[c_0_34,c_0_64]) ).
tff(c_0_91,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_92,plain,
! [X1: knowheyan] :
( ( place_of(b) != first )
| ( b = X1 )
| ( a = X1 )
| ( entry_of(X1) = collage_painting )
| ( entry_of(X1) = laser_etching ) ),
inference(spm,[status(thm)],[c_0_81,c_0_70]) ).
tcf(c_0_93,plain,
! [X3: place] :
( ( X3 = first )
| ( X3 = second )
| ( X3 = fourth )
| ( place_of(a) = X3 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_61]) ).
tff(c_0_94,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_91])]) ).
tcf(c_0_95,plain,
! [X1: knowheyan] :
( ( place_of(X1) != second )
| ( a = X1 )
| ( b = X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_92]),c_0_75]),c_0_71]) ).
tcf(c_0_96,plain,
! [X1: knowheyan] :
( ( a = X1 )
| ( place_of(X1) = fourth )
| ( place_of(X1) = second )
| ( place_of(X1) = first ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_93])]) ).
tff(c_0_97,plain,
b != d,
inference(fof_simplification,[status(thm)],[b_not_d]) ).
tff(c_0_98,plain,
a != d,
inference(fof_simplification,[status(thm)],[a_not_d]) ).
tff(c_0_99,plain,
c != d,
inference(fof_simplification,[status(thm)],[c_not_d]) ).
tcf(c_0_100,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_94]) ).
tcf(c_0_101,plain,
! [X1: knowheyan] :
( ( b = X1 )
| ( a = X1 )
| ( place_of(X1) = first )
| ( place_of(X1) = fourth ) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
tff(c_0_102,plain,
b != d,
inference(fof_nnf,[status(thm)],[c_0_97]) ).
tff(c_0_103,plain,
a != d,
inference(fof_nnf,[status(thm)],[c_0_98]) ).
tff(c_0_104,plain,
c != d,
inference(fof_nnf,[status(thm)],[c_0_99]) ).
tcf(c_0_105,negated_conjecture,
( ( place_of(d) != fourth )
| ( place_of(b) != second )
| ( place_of(a) != third ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_84])]) ).
tcf(c_0_106,plain,
! [X1: knowheyan] :
( ( c = X1 )
| ( a = X1 )
| ( b = X1 )
| ( place_of(X1) = fourth ) ),
inference(spm,[status(thm)],[c_0_86,c_0_101]) ).
tcf(c_0_107,plain,
b != d,
inference(split_conjunct,[status(thm)],[c_0_102]) ).
tcf(c_0_108,plain,
a != d,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
tcf(c_0_109,plain,
c != d,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
tcf(c_0_110,negated_conjecture,
( ( place_of(b) != second )
| ( place_of(a) != third ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]),c_0_109]) ).
tff(c_0_111,plain,
first != third,
inference(fof_simplification,[status(thm)],[first_not_third]) ).
tff(c_0_112,plain,
second != third,
inference(fof_simplification,[status(thm)],[second_not_third]) ).
tff(c_0_113,plain,
third != fourth,
inference(fof_simplification,[status(thm)],[third_not_fourth]) ).
tcf(c_0_114,negated_conjecture,
( ( place_of(a) != third )
| ( place_of(b) = first ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_96]),c_0_57]),c_0_61]) ).
tff(c_0_115,plain,
first != third,
inference(fof_nnf,[status(thm)],[c_0_111]) ).
tff(c_0_116,plain,
second != third,
inference(fof_nnf,[status(thm)],[c_0_112]) ).
tff(c_0_117,plain,
third != fourth,
inference(fof_nnf,[status(thm)],[c_0_113]) ).
tcf(c_0_118,negated_conjecture,
place_of(a) != third,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_114]),c_0_76]) ).
tcf(c_0_119,plain,
first != third,
inference(split_conjunct,[status(thm)],[c_0_115]) ).
tcf(c_0_120,plain,
second != third,
inference(split_conjunct,[status(thm)],[c_0_116]) ).
tcf(c_0_121,plain,
third != fourth,
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_89]),c_0_88]),c_0_90]),c_0_61])]),c_0_119]),c_0_120]),c_0_121]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 03:59:14 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.18/0.54 % Version: 3.5.1
% 0.18/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.54 % Starting sh5l with 300s (1) cores
% 0.18/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2137103 completed with status 0
% 0.18/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.18/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.54 % No SInE strategy applied
% 0.18/0.54 % Search class: FGHPF-FFMF11-SFFFFFNN
% 0.18/0.54 % partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.18/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.18/0.54 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.18/0.54 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.18/0.54 % SubtermCWHack with pid 2137108 completed with status 0
% 0.18/0.54 % Result found by SubtermCWHack
% 0.18/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.54 % No SInE strategy applied
% 0.18/0.54 % Search class: FGHPF-FFMF11-SFFFFFNN
% 0.18/0.54 % partial match(1): FGHNF-FFMF11-SFFFFFNN
% 0.18/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.54 % Preprocessing time : 0.001 s
% 0.18/0.54
% 0.18/0.54 % Proof found!
% 0.18/0.54 % SZS status Theorem
% 0.18/0.54 % SZS output start CNFRefutation
% See solution above
% 0.18/0.54 % Parsed axioms : 47
% 0.18/0.54 % Removed by relevancy pruning/SinE : 0
% 0.18/0.54 % Initial clauses : 56
% 0.18/0.54 % Removed in clause preprocessing : 17
% 0.18/0.54 % Initial clauses in saturation : 39
% 0.18/0.54 % Processed clauses : 493
% 0.18/0.54 % ...of these trivial : 0
% 0.18/0.54 % ...subsumed : 386
% 0.18/0.54 % ...remaining for further processing : 107
% 0.18/0.54 % Other redundant clauses eliminated : 244
% 0.18/0.54 % Clauses deleted for lack of memory : 0
% 0.18/0.54 % Backward-subsumed : 11
% 0.18/0.54 % Backward-rewritten : 7
% 0.18/0.54 % Generated clauses : 2831
% 0.18/0.54 % ...of the previous two non-redundant : 1487
% 0.18/0.54 % ...aggressively subsumed : 0
% 0.18/0.54 % Contextual simplify-reflections : 6
% 0.18/0.54 % Paramodulations : 1780
% 0.18/0.54 % Factorizations : 802
% 0.18/0.54 % NegExts : 0
% 0.18/0.54 % Equation resolutions : 247
% 0.18/0.54 % Disequality decompositions : 0
% 0.18/0.54 % Total rewrite steps : 68
% 0.18/0.54 % ...of those cached : 67
% 0.18/0.54 % Propositional unsat checks : 0
% 0.18/0.54 % Propositional check models : 0
% 0.18/0.54 % Propositional check unsatisfiable : 0
% 0.18/0.54 % Propositional clauses : 0
% 0.18/0.54 % Propositional clauses after purity: 0
% 0.18/0.54 % Propositional unsat core size : 0
% 0.18/0.54 % Propositional preprocessing time : 0.000
% 0.18/0.54 % Propositional encoding time : 0.000
% 0.18/0.54 % Propositional solver time : 0.000
% 0.18/0.54 % Success case prop preproc time : 0.000
% 0.18/0.54 % Success case prop encoding time : 0.000
% 0.18/0.54 % Success case prop solver time : 0.000
% 0.18/0.54 % Current number of processed clauses : 84
% 0.18/0.54 % Positive orientable unit clauses : 1
% 0.18/0.54 % Positive unorientable unit clauses: 0
% 0.18/0.54 % Negative unit clauses : 28
% 0.18/0.54 % Non-unit-clauses : 55
% 0.18/0.54 % Current number of unprocessed clauses: 983
% 0.18/0.54 % ...number of literals in the above : 11143
% 0.18/0.54 % Current number of archived formulas : 0
% 0.18/0.54 % Current number of archived clauses : 20
% 0.18/0.54 % Clause-clause subsumption calls (NU) : 2884
% 0.18/0.54 % Rec. Clause-clause subsumption calls : 344
% 0.18/0.54 % Non-unit clause-clause subsumptions : 171
% 0.18/0.54 % Unit Clause-clause subsumption calls : 32
% 0.18/0.54 % Rewrite failures with RHS unbound : 0
% 0.18/0.54 % BW rewrite match attempts : 1
% 0.18/0.54 % BW rewrite match successes : 1
% 0.18/0.54 % Condensation attempts : 0
% 0.18/0.54 % Condensation successes : 0
% 0.18/0.54 % Termbank termtop insertions : 16796
% 0.18/0.54 % Search garbage collected termcells : 249
% 0.18/0.54
% 0.18/0.54 % -------------------------------------------------
% 0.18/0.54 % User time : 0.054 s
% 0.18/0.54 % System time : 0.006 s
% 0.18/0.54 % Total time : 0.060 s
% 0.18/0.54 % Maximum resident set size: 3656 pages
% 0.18/0.54
% 0.18/0.54 % -------------------------------------------------
% 0.18/0.54 % User time : 0.219 s
% 0.18/0.54 % System time : 0.020 s
% 0.18/0.54 % Total time : 0.239 s
% 0.18/0.54 % Maximum resident set size: 4864 pages
% 0.18/0.54 % E exiting
%------------------------------------------------------------------------------