%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR129^2 : 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 : n018.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 12.53s 4.45s
% Output : Refutation 12.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 174 ( 23 ~; 9 |; 9 &; 133 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 9 !; 3 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IiioI_decl,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lMeasureFn_THFTYPE_i_decl,type,
lMeasureFn_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lTotalValuedRelation_THFTYPE_i_decl,type,
lTotalValuedRelation_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(9,axiom,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_036) ).
thf(73,plain,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
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 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(62,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(151,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
| ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[73,62]) ).
thf(152,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(161,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[152:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ))]]) ).
thf(169,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
inference(rewrite,[status(thm)],[161,73]) ).
thf(44,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(121,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(558,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[121,169]) ).
thf(559,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[558]) ).
thf(566,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[559]) ).
thf(574,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[566]) ).
thf(576,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
inference(rewrite,[status(thm)],[121,574]) ).
thf(581,plain,
! [A: $i > $i > $o] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[576,62]) ).
thf(582,plain,
! [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[581]) ).
thf(588,plain,
! [A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[582]) ).
thf(592,plain,
! [A: $i > $i > $o] :
( ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
& ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[588]) ).
thf(593,plain,
! [A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnfConj,[status(thm)],[592]) ).
thf(595,plain,
! [A: $i > $i > $o] : ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[593]) ).
thf(602,plain,
~ $true,
inference(rewrite,[status(thm)],[169,595]) ).
thf(603,plain,
$false,
inference(simp,[status(thm)],[602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR129^2 : 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
% 0.11/0.21 % Computer : n018.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:57:41 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
% 1.05/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.59/1.06 % [INFO] Parsing done (256ms).
% 1.59/1.08 % [INFO] Running in sequential loop mode.
% 2.30/1.46 % [INFO] eprover registered as external prover.
% 2.30/1.47 % [INFO] Scanning for conjecture ...
% 2.49/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 64 axioms. Running axiom selection ...
% 2.66/1.69 % [INFO] Axiom selection finished. Selected 58 axioms (removed 6 axioms).
% 2.88/1.75 % [INFO] Problem is higher-order (TPTP THF).
% 2.88/1.75 % [INFO] Type checking passed.
% 2.88/1.76 % [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 ...
% 12.53/4.45 % [INFO] Killing All external provers ...
% 12.53/4.45 % Time passed: 4090ms (effective reasoning time: 3365ms)
% 12.53/4.45 % 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)>
% 12.53/4.45 % Axioms used in derivation (2): ax_036, ax_005
% 12.53/4.45 % No. of inferences in proof: 25
% 12.53/4.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4090 ms resp. 3365 ms w/o parsing
% 12.53/4.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.53/4.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------