%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR138^1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n019.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 : Wed Sep 30 07:46:58 AM UTC 2026
% Result : Theorem 6.79s 3.12s
% Output : Refutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 29 unt; 0 typ; 4 def)
% Number of atoms : 87 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 172 ( 40 ~; 19 |; 9 &; 104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 12 con; 0-2 aty)
% Number of variables : 74 ( 34 ^; 19 !; 17 ?; 74 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_decl,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i] : ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1 @ A ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ! [B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk3 @ A ) ) ) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(14,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) )
| ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(6,axiom,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(20,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(15,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(21,plain,
~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ),
inference(miniscope,[status(thm)],[20]) ).
thf(22,plain,
~ ( likes_THFTYPE_IiioI @ sk3 @ sk4 ),
inference(cnf,[status(esa)],[21]) ).
thf(30,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,22]) ).
thf(31,plain,
( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[30]) ).
thf(33,plain,
( ( sk3 != lSue_THFTYPE_i )
| ( sk4 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[31]) ).
thf(55,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) )
| ~ $true
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,14]) ).
thf(56,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[55]) ).
thf(80,plain,
! [A: $i > $i > $o] :
( ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ B @ lBill_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ ( A @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[56:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( likes_THFTYPE_IiioI @ D @ lBill_THFTYPE_i ) )),bind(C,$thf( lSue_THFTYPE_i ))]]) ).
thf(4,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(16,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(17,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,plain,
~ ! [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ B ),
inference(miniscope,[status(thm)],[17]) ).
thf(19,plain,
~ ( parent_THFTYPE_IiioI @ sk1 @ sk2 ),
inference(cnf,[status(esa)],[18]) ).
thf(8,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(24,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(25,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(28,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,22]) ).
thf(29,plain,
( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[28]) ).
thf(32,plain,
( ( sk3 != lMary_THFTYPE_i )
| ( sk4 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[29]) ).
thf(11,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).
thf(27,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(26,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(23,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(244,plain,
$false,
inference(e,[status(thm)],[14,20,33,12,80,16,19,15,24,25,32,17,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR138^1 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.11/0.21 % Computer : n019.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:56:17 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.88/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.98 % [INFO] Parsing done (185ms).
% 1.24/1.00 % [INFO] Running in sequential loop mode.
% 2.08/1.40 % [INFO] eprover registered as external prover.
% 2.08/1.41 % [INFO] Scanning for conjecture ...
% 2.27/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 2.27/1.55 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 2.27/1.56 % [INFO] Problem is higher-order (TPTP THF).
% 2.27/1.57 % [INFO] Type checking passed.
% 2.27/1.57 % [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 ...
% 6.79/3.12 % External prover 'e' found a proof!
% 6.79/3.12 % [INFO] Killing All external provers ...
% 6.79/3.12 % Time passed: 2761ms (effective reasoning time: 2117ms)
% 6.79/3.12 % 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)>
% 6.79/3.12 % Axioms used in derivation (9): ax_007, ax_003, ax_002, ax_005, ax, ax_008, ax_004, ax_006, ax_001
% 6.79/3.12 % No. of inferences in proof: 37
% 6.79/3.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2761 ms resp. 2117 ms w/o parsing
% 7.28/3.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.28/3.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------