%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR143^1 : 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 : n020.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 07:46:59 AM UTC 2026
% Result : Theorem 7.99s 3.18s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 132 ( 16 ~; 6 |; 0 &; 108 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 27 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
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(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_decl,type,
n2009_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(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(10,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(1,conjecture,
? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
inference(cnf,[status(esa)],[7]) ).
thf(5,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(13,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[13]) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,8]) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[16]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ),
inference(simp,[status(thm)],[17]) ).
thf(22,plain,
! [A: $i] :
~ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(simp,[status(thm)],[20]) ).
thf(24,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(rewrite,[status(thm)],[8,22]) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(9,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(15,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(27,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[15,24]) ).
thf(28,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[27]) ).
thf(30,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ),
inference(simp,[status(thm)],[28]) ).
thf(32,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(simp,[status(thm)],[30]) ).
thf(11,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
| ( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(cnf,[status(esa)],[10]) ).
thf(12,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(168,plain,
$false,
inference(e,[status(thm)],[10,24,14,9,13,32,22,12,7,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR143^1 : 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
% 0.11/0.22 % Computer : n020.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
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 17:57:34 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 1.05/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.00 % [INFO] Parsing done (194ms).
% 1.25/1.03 % [INFO] Running in sequential loop mode.
% 2.11/1.44 % [INFO] eprover registered as external prover.
% 2.11/1.45 % [INFO] Scanning for conjecture ...
% 2.32/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.32/1.57 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.32/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.32/1.60 % [INFO] Type checking passed.
% 2.49/1.60 % [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 ...
% 7.99/3.18 % External prover 'e' found a proof!
% 7.99/3.18 % [INFO] Killing All external provers ...
% 7.99/3.18 % Time passed: 2815ms (effective reasoning time: 2143ms)
% 7.99/3.18 % 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)>
% 7.99/3.18 % Axioms used in derivation (4): ax_001, ax_002, ax, ax_003
% 7.99/3.18 % No. of inferences in proof: 25
% 7.99/3.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2815 ms resp. 2143 ms w/o parsing
% 8.35/3.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.35/3.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------