%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR145^2 : 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 : n005.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 07:47:00 AM UTC 2026
% Result : Theorem 5.81s 2.53s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 34 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 114 ( 9 ~; 0 |; 3 &; 92 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 41 ( 6 ^; 28 !; 7 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(believes_THFTYPE_IiooI_decl,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(contraryAttribute_THFTYPE_IoooI_decl,type,
contraryAttribute_THFTYPE_IoooI: $o > $o > $o ).
thf(domain_THFTYPE_IIoooIiioI_decl,type,
domain_THFTYPE_IIoooIiioI: ( $o > $o > $o ) > $i > $i > $o ).
thf(husband_THFTYPE_IiioI_decl,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(instance_THFTYPE_IoioI_decl,type,
instance_THFTYPE_IoioI: $o > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_decl,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(knows_THFTYPE_IiooI_decl,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(lChris_THFTYPE_i_decl,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_decl,type,
lCorina_THFTYPE_i: $i ).
thf(lTruthValue_THFTYPE_i_decl,type,
lTruthValue_THFTYPE_i: $i ).
thf(n2_THFTYPE_i_decl,type,
n2_THFTYPE_i: $i ).
thf(property_THFTYPE_IiioI_decl,type,
property_THFTYPE_IiioI: $i > $i > $o ).
thf(subrelation_THFTYPE_IIoooIIiioIoI_decl,type,
subrelation_THFTYPE_IIoooIIiioIoI: ( $o > $o > $o ) > ( $i > $i > $o ) > $o ).
thf(truth_THFTYPE_IoooI_decl,type,
truth_THFTYPE_IoooI: $o > $o > $o ).
thf(wife_THFTYPE_IiioI_decl,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( property_THFTYPE_IiioI @ C @ B )
= ( property_THFTYPE_IiioI @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( property_THFTYPE_IiioI @ C @ B )
= ( property_THFTYPE_IiioI @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_094) ).
thf(52,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(29,plain,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,axiom,
instance_THFTYPE_IoioI @ $true @ lTruthValue_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_177) ).
thf(53,plain,
instance_THFTYPE_IoioI @ $true @ lTruthValue_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).
thf(41,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
contraryAttribute_THFTYPE_IoooI @ $false @ $true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_088) ).
thf(44,plain,
contraryAttribute_THFTYPE_IoooI @ $false @ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_095) ).
thf(54,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(9,axiom,
instance_THFTYPE_IoioI @ $false @ lTruthValue_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_276) ).
thf(39,plain,
instance_THFTYPE_IoioI @ $false @ lTruthValue_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(18,plain,
~ ? [A: $i > $i > $o] :
( ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
subrelation_THFTYPE_IIoooIIiioIoI @ truth_THFTYPE_IoooI @ property_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_312) ).
thf(38,plain,
subrelation_THFTYPE_IIoooIIiioIoI @ truth_THFTYPE_IoooI @ property_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( property_THFTYPE_IiioI @ B @ C )
= ( property_THFTYPE_IiioI @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_016) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( property_THFTYPE_IiioI @ B @ C )
= ( property_THFTYPE_IiioI @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $o,B: $i] :
( ( knows_THFTYPE_IiooI @ B @ A )
=> ( believes_THFTYPE_IiooI @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040) ).
thf(33,plain,
! [A: $o,B: $i] :
( ( knows_THFTYPE_IiooI @ B @ A )
=> ( believes_THFTYPE_IiooI @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
domain_THFTYPE_IIoooIiioI @ truth_THFTYPE_IoooI @ n2_THFTYPE_i @ lTruthValue_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_202) ).
thf(32,plain,
domain_THFTYPE_IIoooIiioI @ truth_THFTYPE_IoooI @ n2_THFTYPE_i @ lTruthValue_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
! [A: $o,B: $i] :
( ( knows_THFTYPE_IiooI @ B @ A )
=> ( truth_THFTYPE_IoooI @ A @ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_072) ).
thf(45,plain,
! [A: $o,B: $i] :
( ( knows_THFTYPE_IiooI @ B @ A )
=> ( truth_THFTYPE_IoooI @ A @ $true ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_089) ).
thf(40,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).
thf(55,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(58,plain,
$false,
inference(e,[status(thm)],[25,52,29,53,41,44,54,39,18,38,21,33,32,45,40,55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR145^2 : 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
% 0.11/0.22 % Computer : n005.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 17:57:01 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 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
% 1.06/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.42/1.20 % [INFO] Parsing done (384ms).
% 2.42/1.22 % [INFO] Running in sequential loop mode.
% 3.62/1.60 % [INFO] eprover registered as external prover.
% 3.62/1.61 % [INFO] Scanning for conjecture ...
% 3.84/1.76 % [INFO] Found a conjecture (or negated_conjecture) and 316 axioms. Running axiom selection ...
% 4.04/1.84 % [INFO] Axiom selection finished. Selected 15 axioms (removed 301 axioms).
% 4.04/1.87 % [INFO] Problem is higher-order (TPTP THF).
% 4.04/1.87 % [INFO] Type checking passed.
% 4.04/1.88 % [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 ...
% 5.81/2.53 % External prover 'e' found a proof!
% 5.81/2.53 % [INFO] Killing All external provers ...
% 5.81/2.53 % Time passed: 2143ms (effective reasoning time: 1303ms)
% 5.81/2.53 % 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)>
% 5.81/2.53 % Axioms used in derivation (15): ax_051, ax_040, ax_020, ax_089, ax_095, ax_016, ax_072, ax_094, ax_019, ax_177, ax_202, ax_312, ax_006, ax_276, ax_088
% 5.81/2.53 % No. of inferences in proof: 34
% 5.81/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2143 ms resp. 1303 ms w/o parsing
% 5.81/2.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.81/2.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------