%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR121^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 07:46:53 AM UTC 2026
% Result : Theorem 11.18s 3.75s
% Output : Refutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 231 ( 41 ~; 20 |; 13 &; 157 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 14 ( 0 ^; 11 !; 3 ?; 14 :)
% 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(32,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_049) ).
thf(87,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(1,conjecture,
? [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/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [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(neg_conjecture,[status(cth)],[1]) ).
thf(42,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)],[2]) ).
thf(43,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)],[42]) ).
thf(173,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_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(paramod_ordered,[status(thm)],[87,43]) ).
thf(174,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_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(simp,[status(thm)],[173]) ).
thf(181,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(183,plain,
! [A: $i] :
( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[181]) ).
thf(192,plain,
! [A: $i] :
( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(bool_ext,[status(thm)],[183]) ).
thf(193,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
& ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(cnf,[status(esa)],[192]) ).
thf(194,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ),
inference(cnfConj,[status(thm)],[193]) ).
thf(249,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[194]) ).
thf(250,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(pattern_uni,[status(thm)],[249:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(285,plain,
! [A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[250,43]) ).
thf(286,plain,
! [A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[285]) ).
thf(287,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[286:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(279,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ $true
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(rewrite,[status(thm)],[87,250]) ).
thf(280,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[279]) ).
thf(315,plain,
~ $true,
inference(rewrite,[status(thm)],[287,280]) ).
thf(316,plain,
$false,
inference(simp,[status(thm)],[315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR121^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 17:54:48 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.65 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/0.99 % [INFO] Parsing done (333ms).
% 1.48/1.01 % [INFO] Running in sequential loop mode.
% 2.49/1.39 % [INFO] eprover registered as external prover.
% 2.72/1.40 % [INFO] Scanning for conjecture ...
% 2.94/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 189 axioms. Running axiom selection ...
% 3.16/1.65 % [INFO] Axiom selection finished. Selected 39 axioms (removed 150 axioms).
% 3.16/1.69 % [INFO] Problem is higher-order (TPTP THF).
% 3.49/1.70 % [INFO] Type checking passed.
% 3.49/1.71 % [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 ...
% 11.18/3.75 % [INFO] Killing All external provers ...
% 11.18/3.75 % Time passed: 3450ms (effective reasoning time: 2733ms)
% 11.18/3.75 % 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)>
% 11.18/3.75 % Axioms used in derivation (1): ax_049
% 11.18/3.75 % No. of inferences in proof: 22
% 11.18/3.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3450 ms resp. 2733 ms w/o parsing
% 11.18/3.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.18/3.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------