%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR149^2 : 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 : n017.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 07:47:01 AM UTC 2026
% Result : Theorem 14.77s 4.92s
% Output : Refutation 14.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 174 ( 37 ~; 9 |; 0 &; 123 @)
% ( 0 <=>; 5 =>; 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 : 48 ( 0 ^; 42 !; 6 ?; 48 :)
% 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(42,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).
thf(107,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(35,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(93,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(32,axiom,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).
thf(89,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(90,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[89]) ).
thf(1,conjecture,
? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(44,plain,
~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(45,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(cnf,[status(esa)],[44]) ).
thf(179,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ C ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[90,45]) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ C ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ),
inference(simp,[status(thm)],[179]) ).
thf(182,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ C ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[180]) ).
thf(187,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[182]) ).
thf(197,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> $false ) ),
inference(rewrite,[status(thm)],[93,187]) ).
thf(198,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[197]) ).
thf(41,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(105,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(106,plain,
! [B: $o,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
| ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(cnf,[status(esa)],[105]) ).
thf(171,plain,
! [C: $o,B: $i,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
| ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[90,106]) ).
thf(172,plain,
! [C: $o,B: $i,A: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
inference(simp,[status(thm)],[171]) ).
thf(173,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ $true ),
inference(pattern_uni,[status(thm)],[172:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( $true ))]]) ).
thf(190,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ A @ $false ),
inference(simp,[status(thm)],[173]) ).
thf(215,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ A @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[198,190]) ).
thf(216,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ A @ $false ) ),
inference(simp,[status(thm)],[215]) ).
thf(218,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= A )
| ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[216]) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= A )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ),
inference(cnf,[status(esa)],[218]) ).
thf(221,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(simp,[status(thm)],[220]) ).
thf(224,plain,
$false,
inference(rewrite,[status(thm)],[107,221]) ).
thf(225,plain,
$false,
inference(simp,[status(thm)],[224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR149^2 : 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
% 0.11/0.20 % Computer : n017.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 17:52:52 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 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
% 1.03/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.41/1.30 % [INFO] Parsing done (428ms).
% 2.41/1.32 % [INFO] Running in sequential loop mode.
% 3.72/1.88 % [INFO] eprover registered as external prover.
% 3.72/1.89 % [INFO] Scanning for conjecture ...
% 4.20/2.09 % [INFO] Found a conjecture (or negated_conjecture) and 191 axioms. Running axiom selection ...
% 4.48/2.24 % [INFO] Axiom selection finished. Selected 41 axioms (removed 150 axioms).
% 4.48/2.29 % [INFO] Problem is higher-order (TPTP THF).
% 4.82/2.30 % [INFO] Type checking passed.
% 4.82/2.31 % [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 ...
% 14.77/4.91 % [INFO] Killing All external provers ...
% 14.77/4.92 % Time passed: 4566ms (effective reasoning time: 3580ms)
% 14.77/4.92 % 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)>
% 14.77/4.92 % Axioms used in derivation (4): ax_023, ax_004, ax_051, ax_022
% 14.77/4.92 % No. of inferences in proof: 31
% 14.77/4.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4566 ms resp. 3580 ms w/o parsing
% 14.77/4.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.77/4.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------