%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR140^1 : 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 07:46:58 AM UTC 2026
% Result : Theorem 4.53s 2.46s
% Output : Refutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 72 ( 18 ~; 4 |; 4 &; 46 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 12 !; 11 ?; 23 :)
% 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(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
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,C: $i] :
( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
~ ? [A: $i > $i > $o] :
( ? [B: $i] : ( A @ B @ lAnna_THFTYPE_i )
& ~ ! [B: $i] : ( A @ B @ lAnna_THFTYPE_i ) ),
inference(miniscope,[status(thm)],[13]) ).
thf(15,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ B @ lAnna_THFTYPE_i )
| ( A @ C @ lAnna_THFTYPE_i ) ),
inference(cnf,[status(esa)],[14]) ).
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(23,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(51,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ B @ lAnna_THFTYPE_i )
| ~ $true
| ( ( A @ C @ lAnna_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,23]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ B @ lAnna_THFTYPE_i )
| ( ( A @ C @ lAnna_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[51]) ).
thf(69,plain,
! [A: $i] :
~ ( parent_THFTYPE_IiioI @ A @ lBen_THFTYPE_i ),
inference(pre_uni,[status(thm)],[52:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( parent_THFTYPE_IiioI @ D @ lBen_THFTYPE_i ) )),bind(B,$thf( B )),bind(C,$thf( lBob_THFTYPE_i ))]]) ).
thf(93,plain,
! [A: $i] :
~ ( parent_THFTYPE_IiioI @ A @ lBen_THFTYPE_i ),
inference(simp,[status(thm)],[69]) ).
thf(111,plain,
$false,
inference(rewrite,[status(thm)],[20,93]) ).
thf(112,plain,
$false,
inference(simp,[status(thm)],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR140^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % 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
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:56:31 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.91/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.97 % [INFO] Parsing done (198ms).
% 1.25/0.98 % [INFO] Running in sequential loop mode.
% 1.95/1.37 % [INFO] eprover registered as external prover.
% 1.95/1.38 % [INFO] Scanning for conjecture ...
% 2.16/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 2.33/1.52 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.33/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.33/1.53 % [INFO] Type checking passed.
% 2.33/1.53 % [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 ...
% 4.53/2.45 % [INFO] Killing All external provers ...
% 4.53/2.46 % Time passed: 2134ms (effective reasoning time: 1468ms)
% 4.53/2.46 % 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)>
% 4.53/2.46 % Axioms used in derivation (2): ax_003, ax_005
% 4.53/2.46 % No. of inferences in proof: 16
% 4.53/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2134 ms resp. 1468 ms w/o parsing
% 4.53/2.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.53/2.50 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------