%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR139^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n014.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 5.50s 1.92s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 138 ( 30 ~; 12 |; 6 &; 90 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 2 ^; 13 !; 9 ?; 24 :)
% 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(6,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(20,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ),
file('/export/starexec/sandbox/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 != A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(17,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(16,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(19,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B = A ) ),
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B = A )
| ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(45,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B = A )
| ~ $true
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[20,15]) ).
thf(46,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B = A )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[45]) ).
thf(83,plain,
! [A: $i > $i > $o] :
( ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ B @ lBen_THFTYPE_i ) )
= A )
| ~ ( A @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[46:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( parent_THFTYPE_IiioI @ D @ lBen_THFTYPE_i ) )),bind(C,$thf( lMary_THFTYPE_i ))]]) ).
thf(9,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(24,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(25,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(27,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(28,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(21,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(29,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,18]) ).
thf(30,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[29]) ).
thf(31,plain,
( ( lSue_THFTYPE_i != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[30]) ).
thf(32,plain,
lMary_THFTYPE_i != lBill_THFTYPE_i,
inference(simp,[status(thm)],[31]) ).
thf(8,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(22,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).
thf(26,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(23,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(221,plain,
$false,
inference(e,[status(thm)],[20,13,18,16,19,15,83,24,25,28,21,32,17,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR139^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:55:59 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.72/0.52 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.97/0.63 % [INFO] Parsing done (104ms).
% 0.97/0.64 % [INFO] Running in sequential loop mode.
% 1.42/0.83 % [INFO] eprover registered as external prover.
% 1.42/0.83 % [INFO] Scanning for conjecture ...
% 1.42/0.88 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 1.69/0.90 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.69/0.91 % [INFO] Problem is higher-order (TPTP THF).
% 1.69/0.91 % [INFO] Type checking passed.
% 1.69/0.91 % [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 ...
% 5.50/1.91 % External prover 'e' found a proof!
% 5.50/1.92 % [INFO] Killing All external provers ...
% 5.50/1.92 % Time passed: 1622ms (effective reasoning time: 1276ms)
% 5.50/1.92 % 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)>
% 5.50/1.92 % Axioms used in derivation (10): ax_007, ax_003, ax_009, ax_002, ax_005, ax, ax_008, ax_004, ax_006, ax_001
% 5.50/1.92 % No. of inferences in proof: 36
% 5.50/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1622 ms resp. 1276 ms w/o parsing
% 5.50/1.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.50/1.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------