%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR146^1 : 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 : n007.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 6.23s 3.11s
% Output : Refutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 64 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 118 ( 15 ~; 5 |; 3 &; 93 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 26 ^; 16 !; 5 ?; 48 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_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(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(husband_THFTYPE_IiioI_decl,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_decl,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ) ) ) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( 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] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ? [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( A
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(10,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(7,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',ax5) ).
thf(20,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)],[7]) ).
thf(23,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ $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 ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[20,10]) ).
thf(24,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $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 ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[23]) ).
thf(37,plain,
( ( ^ [A: $i,B: $i] : ( wife_THFTYPE_IiioI @ B @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(pre_uni,[status(thm)],[24:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( wife_THFTYPE_IiioI @ C @ B ) ))]]) ).
thf(6,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(17,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
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',ax2) ).
thf(12,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(35,plain,
( ( ^ [A: $i,B: $i] : ( wife_THFTYPE_IiioI @ B @ lChris_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(pre_uni,[status(thm)],[24:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( wife_THFTYPE_IiioI @ C @ lChris_THFTYPE_i ) ))]]) ).
thf(5,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(15,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[15]) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(11,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,plain,
( ( ^ [A: $i,B: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(pre_uni,[status(thm)],[24:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ B ) ))]]) ).
thf(18,plain,
~ ! [A: $i] : ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(miniscope,[status(thm)],[17]) ).
thf(19,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sk1 ),
inference(cnf,[status(esa)],[18]) ).
thf(232,plain,
$false,
inference(e,[status(thm)],[10,37,20,17,12,35,16,11,8,15,36,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR146^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % 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
% 0.12/0.29 % Computer : n007.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Sep 29 17:55:11 UTC 2026
% 0.27/0.29 % CPUTime :
% 0.27/0.29 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
% 0.95/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.06 % [INFO] Parsing done (194ms).
% 1.30/1.07 % [INFO] Running in sequential loop mode.
% 1.90/1.46 % [INFO] eprover registered as external prover.
% 1.90/1.47 % [INFO] Scanning for conjecture ...
% 2.11/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.25/1.60 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.25/1.62 % [INFO] Problem is higher-order (TPTP THF).
% 2.25/1.62 % [INFO] Type checking passed.
% 2.25/1.63 % [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 ...
% 6.23/3.11 % External prover 'e' found a proof!
% 6.23/3.11 % [INFO] Killing All external provers ...
% 6.23/3.11 % Time passed: 2674ms (effective reasoning time: 2026ms)
% 6.23/3.11 % 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)>
% 6.23/3.11 % Axioms used in derivation (5): ax4, ax1, ax2, ax3, ax5
% 6.23/3.11 % No. of inferences in proof: 24
% 6.23/3.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2674 ms resp. 2026 ms w/o parsing
% 6.67/3.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.67/3.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------