%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : n004.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 : Sun Sep 27 07:03:17 AM UTC 2026
% Result : Theorem 3.50s 2.37s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 72 ( 15 ~; 3 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 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(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(3,axiom,
lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(7,plain,
lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(9,plain,
! [A: $i] :
( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,plain,
! [A: $i] :
( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(cnf,[status(esa)],[9]) ).
thf(1,conjecture,
$false @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( $false @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( $false @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
! [A: $i] :
( ( ( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $false @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10,6]) ).
thf(12,plain,
! [A: $i] :
( ( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $false @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(18,plain,
! [A: $i] :
( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[12]) ).
thf(20,plain,
! [A: $i] :
( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(cnf,[status(esa)],[18]) ).
thf(21,plain,
! [A: $i] :
~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(simp,[status(thm)],[20]) ).
thf(23,plain,
$false,
inference(rewrite,[status(thm)],[7,21]) ).
thf(24,plain,
$false,
inference(simp,[status(thm)],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% 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
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 01:17:23 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.16 % [INFO] Parsing done (184ms).
% 1.24/1.17 % [INFO] Running in sequential loop mode.
% 1.78/1.58 % [INFO] eprover registered as external prover.
% 1.78/1.59 % [INFO] Scanning for conjecture ...
% 1.99/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.16/1.71 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.16/1.72 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.16/1.73 % [INFO] Type checking passed.
% 2.16/1.74 % [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 ...
% 3.50/2.36 % [INFO] Killing All external provers ...
% 3.50/2.37 % Time passed: 1828ms (effective reasoning time: 1188ms)
% 3.50/2.37 % 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)>
% 3.50/2.37 % Axioms used in derivation (2): ax, ax_002
% 3.50/2.37 % No. of inferences in proof: 15
% 3.50/2.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1828 ms resp. 1188 ms w/o parsing
% 3.77/2.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.77/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------