%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR126^2 : 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 : n019.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 07:46:55 AM UTC 2026
% Result : Theorem 13.35s 4.30s
% Output : Refutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 134 ( 25 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 302 ( 49 ~; 16 |; 0 &; 222 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(36,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).
thf(93,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(94,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[93]) ).
thf(1,conjecture,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(44,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(182,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,44]) ).
thf(183,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[182]) ).
thf(196,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[183]) ).
thf(199,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[196]) ).
thf(202,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[199]) ).
thf(34,axiom,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(90,plain,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(91,plain,
! [A: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(cnf,[status(esa)],[90]) ).
thf(40,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).
thf(100,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(101,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[100]) ).
thf(191,plain,
! [C: $o,B: $i,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
| ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[94,101]) ).
thf(192,plain,
! [C: $o,B: $i,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
inference(simp,[status(thm)],[191]) ).
thf(193,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A
@ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[192:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ))]]) ).
thf(225,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ B
@ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[91,193]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ B
@ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[225]) ).
thf(229,plain,
! [B: $i,A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= B )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[226]) ).
thf(231,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[229]) ).
thf(321,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> $true )
!= ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[202,231]) ).
thf(322,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[321]) ).
thf(323,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(pattern_uni,[status(thm)],[322:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(204,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[91,44]) ).
thf(205,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[204]) ).
thf(217,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[205]) ).
thf(222,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[217]) ).
thf(354,plain,
! [A: $i] :
( ( ( $true
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[323,222]) ).
thf(355,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[354]) ).
thf(356,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[355:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(365,plain,
$false,
inference(simp,[status(thm)],[356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR126^2 : 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 : n019.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 17:55:17 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
% 1.02/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.56/1.10 % [INFO] Parsing done (296ms).
% 1.56/1.11 % [INFO] Running in sequential loop mode.
% 3.00/1.50 % [INFO] eprover registered as external prover.
% 3.00/1.51 % [INFO] Scanning for conjecture ...
% 3.28/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 191 axioms. Running axiom selection ...
% 3.49/1.74 % [INFO] Axiom selection finished. Selected 41 axioms (removed 150 axioms).
% 3.49/1.79 % [INFO] Problem is higher-order (TPTP THF).
% 3.82/1.80 % [INFO] Type checking passed.
% 3.82/1.80 % [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 ...
% 12.92/4.30 % [INFO] Killing All external provers ...
% 13.35/4.30 % Time passed: 3934ms (effective reasoning time: 3177ms)
% 13.35/4.30 % 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)>
% 13.35/4.30 % Axioms used in derivation (3): ax_024, ax_005, ax_022
% 13.35/4.30 % No. of inferences in proof: 35
% 13.35/4.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3934 ms resp. 3177 ms w/o parsing
% 13.35/4.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.35/4.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------