%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 : Sun Sep 27 08:21:26 AM UTC 2026
% Result : Theorem 4.71s 7.96s
% Output : Refutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 30
% Syntax : Number of formulae : 62 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 119 ( 118 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 185 ( 76 ~; 18 |; 27 &; 52 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(knowheyan_type,type,
knowheyan: $tType ).
thf(place_type,type,
place: $tType ).
thf(entry_type,type,
entry: $tType ).
thf(entry_of_decl,type,
entry_of: knowheyan > entry ).
thf(place_of_decl,type,
place_of: knowheyan > place ).
thf(a_decl,type,
a: knowheyan ).
thf(b_decl,type,
b: knowheyan ).
thf(c_decl,type,
c: knowheyan ).
thf(d_decl,type,
d: knowheyan ).
thf(collage_painting_decl,type,
collage_painting: entry ).
thf(holography_decl,type,
holography: entry ).
thf(laser_etching_decl,type,
laser_etching: entry ).
thf(reconstituted_materials_sculpture_decl,type,
reconstituted_materials_sculpture: entry ).
thf(first_decl,type,
first: place ).
thf(second_decl,type,
second: place ).
thf(third_decl,type,
third: place ).
thf(fourth_decl,type,
fourth: place ).
thf(19,axiom,
( ! [A: knowheyan] :
( ( ( A @ entry_of )
= laser_etching )
=> ( ( ( A @ place_of )
!= second )
& ( A != a ) ) )
& ( ( b @ entry_of )
!= laser_etching ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).
thf(88,plain,
( ! [A: knowheyan] :
( ( ( A @ entry_of )
= laser_etching )
=> ( ( ( A @ place_of )
!= second )
& ( A != a ) ) )
& ( ( b @ entry_of )
!= laser_etching ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(18,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
thf(85,plain,
a != c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
! [A: entry] :
( ( A = reconstituted_materials_sculpture )
| ( A = laser_etching )
| ( A = holography )
| ( A = collage_painting ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).
thf(38,plain,
! [A: entry] :
( ( A = reconstituted_materials_sculpture )
| ( A = laser_etching )
| ( A = holography )
| ( A = collage_painting ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
! [A: knowheyan] :
( ( A = d )
| ( A = c )
| ( A = b )
| ( A = a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_knowheyans) ).
thf(97,plain,
! [A: knowheyan] :
( ( A = d )
| ( A = c )
| ( A = b )
| ( A = a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(28,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
thf(141,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(5,axiom,
collage_painting != holography,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_painting_not_holography) ).
thf(41,plain,
collage_painting != holography,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,axiom,
first != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_not_fourth) ).
thf(73,plain,
first != fourth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
laser_etching != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_not_reconstituted_materials_sculpture) ).
thf(44,plain,
laser_etching != reconstituted_materials_sculpture,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(29,axiom,
second != third,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_not_third) ).
thf(144,plain,
second != third,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(15,axiom,
first != second,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_not_second) ).
thf(76,plain,
first != second,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(22,axiom,
( ( ( a @ entry_of )
!= holography )
& ( ( a @ place_of )
!= first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
thf(103,plain,
( ( ( a @ entry_of )
!= holography )
& ( ( a @ place_of )
!= first ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,axiom,
! [A: knowheyan] :
( ( ( A @ entry_of )
= collage_painting )
=> ( ( ( A @ place_of )
!= second )
& ( ( A @ place_of )
!= first )
& ( A != c )
& ( A != a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).
thf(112,plain,
! [A: knowheyan] :
( ( ( A @ entry_of )
= collage_painting )
=> ( ( ( A @ place_of )
!= second )
& ( ( A @ place_of )
!= first )
& ( A != c )
& ( A != a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(31,axiom,
first != third,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_not_third) ).
thf(150,plain,
first != third,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(9,axiom,
holography != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holography_not_reconstituted_materials_sculpture) ).
thf(55,plain,
holography != reconstituted_materials_sculpture,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
collage_painting != reconstituted_materials_sculpture,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_painting_not_reconstituted_materials_sculpture) ).
thf(47,plain,
collage_painting != reconstituted_materials_sculpture,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
thf(100,plain,
c != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(30,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
thf(147,plain,
b != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(11,axiom,
! [A: place] :
( ( A = fourth )
| ( A = third )
| ( A = second )
| ( A = first ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
thf(61,plain,
! [A: place] :
( ( A = fourth )
| ( A = third )
| ( A = second )
| ( A = first ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(23,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
thf(109,plain,
b != c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(25,axiom,
! [A: knowheyan] :
( ( ( A @ place_of )
= fourth )
=> ( ( ( A @ entry_of )
!= holography )
& ( ( A @ entry_of )
!= reconstituted_materials_sculpture ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info) ).
thf(124,plain,
! [A: knowheyan] :
( ( ( A @ place_of )
= fourth )
=> ( ( ( A @ entry_of )
!= holography )
& ( ( A @ entry_of )
!= reconstituted_materials_sculpture ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(1,conjecture,
( ( ( d @ place_of )
= fourth )
& ( ( c @ place_of )
= first )
& ( ( b @ place_of )
= second )
& ( ( a @ place_of )
= third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).
thf(2,negated_conjecture,
~ ( ( ( d @ place_of )
= fourth )
& ( ( c @ place_of )
= first )
& ( ( b @ place_of )
= second )
& ( ( a @ place_of )
= third ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(32,plain,
~ ( ( ( d @ place_of )
= fourth )
& ( ( c @ place_of )
= first )
& ( ( b @ place_of )
= second )
& ( ( a @ place_of )
= third ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
thf(64,plain,
a != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(26,axiom,
( ( ( c @ place_of )
!= third )
& ( ( b @ place_of )
!= third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
thf(130,plain,
( ( ( c @ place_of )
!= third )
& ( ( b @ place_of )
!= third ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(3,axiom,
holography != laser_etching,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',holography_not_laser_etching) ).
thf(35,plain,
holography != laser_etching,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( A @ entry_of )
!= ( B @ entry_of ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_entrys) ).
thf(50,plain,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( A @ entry_of )
!= ( B @ entry_of ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
( ! [A: knowheyan] :
( ( ( A @ entry_of )
= laser_etching )
=> ( ( A @ place_of )
!= fourth ) )
& ( ( b @ place_of )
!= fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).
thf(67,plain,
( ! [A: knowheyan] :
( ( ( A @ entry_of )
= laser_etching )
=> ( ( A @ place_of )
!= fourth ) )
& ( ( b @ place_of )
!= fourth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
collage_painting != laser_etching,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_painting_not_laser_etching) ).
thf(58,plain,
collage_painting != laser_etching,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
second != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_not_fourth) ).
thf(82,plain,
second != fourth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(27,axiom,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( A @ place_of )
!= ( B @ place_of ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_places) ).
thf(136,plain,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( A @ place_of )
!= ( B @ place_of ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
third != fourth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_not_fourth) ).
thf(79,plain,
third != fourth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(175,plain,
$false,
inference(e,[status(thm)],[88,85,38,97,141,41,73,44,144,76,103,112,150,55,47,100,147,61,109,124,32,64,130,35,50,67,58,82,136,79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/5.61 % Computer : n008.cluster.edu
% 0.15/5.61 % Model : x86_64 x86_64
% 0.15/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.61 % Memory : 8046.5625MB
% 0.15/5.61 % OS : Linux 6.8.0-71-generic
% 0.15/5.61 % CPULimit : 300
% 0.15/5.61 % WCLimit : 300
% 0.15/5.61 % DateTime : Sat Sep 26 05:20:46 UTC 2026
% 0.15/5.62 % CPUTime :
% 0.15/5.62 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.02/6.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/6.42 % [INFO] Parsing done (215ms).
% 1.55/6.44 % [INFO] Running in sequential loop mode.
% 2.10/6.84 % [INFO] eprover registered as external prover.
% 2.10/6.85 % [INFO] Scanning for conjecture ...
% 2.30/6.95 % [INFO] Found a conjecture (or negated_conjecture) and 29 axioms. Running axiom selection ...
% 2.30/7.03 % [INFO] Axiom selection finished. Selected 29 axioms (removed 0 axioms).
% 2.54/7.07 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.54/7.08 % [INFO] Type checking passed.
% 2.54/7.08 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.08/7.30 % [INFO] [Domain constraints] Detected constraint on entry
% 3.08/7.30 % [INFO] [Domain constraints] dom(entry) ⊆ {collage_painting,holography,laser_etching,reconstituted_materials_sculpture}
% 3.08/7.36 % [INFO] [Domain constraints] Detected constraint on place
% 3.08/7.36 % [INFO] [Domain constraints] dom(place) ⊆ {first,second,third,fourth}
% 3.33/7.41 % [INFO] [Domain constraints] Detected constraint on knowheyan
% 3.33/7.41 % [INFO] [Domain constraints] dom(knowheyan) ⊆ {a,b,c,d}
% 4.71/7.96 % External prover 'e' found a proof!
% 4.71/7.96 % [INFO] Killing All external provers ...
% 4.71/7.96 % Time passed: 2197ms (effective reasoning time: 1517ms)
% 4.71/7.96 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.71/7.96 % Axioms used in derivation (29): third_info, first_not_second, collage_painting_not_laser_etching, only_places, holography_not_reconstituted_materials_sculpture, unique_places, a_not_c, collage_painting_not_holography, holography_not_laser_etching, collage_info, fourth_info, unique_entrys, second_not_fourth, a_not_d, laser_etching_info, only_entries, second_not_third, b_not_c, fourth_info2, a_info, first_not_fourth, b_not_d, a_not_b, c_not_d, collage_painting_not_reconstituted_materials_sculpture, third_not_fourth, laser_etching_not_reconstituted_materials_sculpture, first_not_third, only_knowheyans
% 4.71/7.96 % No. of inferences in proof: 62
% 4.71/7.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2197 ms resp. 1517 ms w/o parsing
% 4.71/8.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.71/8.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------