%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR145^1 : 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 : n001.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 4.14s 2.31s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 7 ~; 0 |; 3 &; 30 @)
% ( 0 <=>; 2 =>; 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 : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 6 ^; 8 !; 5 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(husband_THFTYPE_IiioI_decl,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(lChris_THFTYPE_i_decl,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_decl,type,
lCorina_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_decl,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_decl,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(10,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(14,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(17,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
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(7,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(4,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_001) ).
thf(11,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)],[4]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[10,14,17,7,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR145^1 : 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
% 0.10/0.21 % Computer : n001.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 18:02:51 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 1.02/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/1.05 % [INFO] Parsing done (212ms).
% 1.43/1.06 % [INFO] Running in sequential loop mode.
% 2.32/1.52 % [INFO] eprover registered as external prover.
% 2.32/1.53 % [INFO] Scanning for conjecture ...
% 2.49/1.61 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.49/1.65 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.49/1.67 % [INFO] Problem is higher-order (TPTP THF).
% 2.49/1.67 % [INFO] Type checking passed.
% 2.49/1.68 % [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 ...
% 4.14/2.30 % External prover 'e' found a proof!
% 4.14/2.30 % [INFO] Killing All external provers ...
% 4.14/2.30 % Time passed: 1955ms (effective reasoning time: 1233ms)
% 4.14/2.30 % 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)>
% 4.14/2.30 % Axioms used in derivation (4): ax, ax_002, ax_003, ax_001
% 4.14/2.30 % No. of inferences in proof: 12
% 4.14/2.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1955 ms resp. 1233 ms w/o parsing
% 4.14/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.14/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------