%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR137^1 : 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 : n011.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 07:46:57 AM UTC 2026
% Result : Theorem 23.68s 5.88s
% Output : Refutation 24.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 159 ( 34 ~; 20 |; 9 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 0 ^; 51 !; 9 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_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(3,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/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(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
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 )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
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 )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B @ D @ E )
| ( A @ F @ G ) ),
inference(cnf,[status(esa)],[13]) ).
thf(4,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(16,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(50,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( A @ F @ G )
| ~ $true
| ( ( B @ D @ E )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[14,17]) ).
thf(51,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( A @ F @ G )
| ( ( B @ D @ E )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[50]) ).
thf(129,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
| ~ ( A @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(pre_uni,[status(thm)],[51:[bind(A,$thf( A )),bind(B,$thf( ^ [H: $i] : ^ [I: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ H ) )),bind(C,$thf( C )),bind(D,$thf( lMary_THFTYPE_i )),bind(E,$thf( E )),bind(F,$thf( F )),bind(G,$thf( G ))]]) ).
thf(162,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
| ~ ( A @ B @ lAnna_THFTYPE_i )
| ( A @ C @ D ) ),
inference(simp,[status(thm)],[129]) ).
thf(11656,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
| ~ ( A @ B @ lAnna_THFTYPE_i )
| ~ $true
| ( ( A @ C @ D )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[162,17]) ).
thf(11657,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
| ~ ( A @ B @ lAnna_THFTYPE_i )
| ( ( A @ C @ D )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[11656]) ).
thf(11932,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(pre_uni,[status(thm)],[11657:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ E ) )),bind(B,$thf( B )),bind(C,$thf( lMary_THFTYPE_i )),bind(D,$thf( D ))]]) ).
thf(12142,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[11932]) ).
thf(12200,plain,
$false,
inference(rewrite,[status(thm)],[15,12142]) ).
thf(12201,plain,
$false,
inference(simp,[status(thm)],[12200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR137^1 : 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
% 0.09/0.21 % Computer : n011.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 17:56:16 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.65/0.56 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.00/0.66 % [INFO] Parsing done (102ms).
% 1.00/0.67 % [INFO] Running in sequential loop mode.
% 1.38/0.87 % [INFO] eprover registered as external prover.
% 1.38/0.87 % [INFO] Scanning for conjecture ...
% 1.63/0.92 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 1.63/0.94 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.63/0.94 % [INFO] Problem is higher-order (TPTP THF).
% 1.63/0.94 % [INFO] Type checking passed.
% 1.63/0.95 % [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 ...
% 23.68/5.88 % [INFO] Killing All external provers ...
% 23.68/5.88 % Time passed: 5569ms (effective reasoning time: 5203ms)
% 23.68/5.88 % 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)>
% 23.68/5.88 % Axioms used in derivation (2): ax, ax_001
% 23.68/5.88 % No. of inferences in proof: 19
% 23.68/5.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5569 ms resp. 5203 ms w/o parsing
% 24.18/5.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.18/5.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------