%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR126_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : n006.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 4.92s 2.80s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 135 ( 25 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 296 ( 42 ~; 20 |; 1 &; 222 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% 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(3,axiom,
! [A: $i] : ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(6,plain,
! [A: $i] : ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,plain,
! [A: $i] : ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) ),
inference(cnf,[status(esa)],[6]) ).
thf(1,conjecture,
lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
! [A: $i] :
( ( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7,5]) ).
thf(11,plain,
! [A: $i] :
( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[10]) ).
thf(12,plain,
! [A: $i] :
( ( ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ( A
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(13,plain,
( ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) ),
inference(simp,[status(thm)],[12]) ).
thf(16,plain,
( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) ),
inference(bool_ext,[status(thm)],[13]) ).
thf(22,plain,
( ( ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
| ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) ),
inference(paramod_ordered,[status(thm)],[16,5]) ).
thf(23,plain,
( ~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
| ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) ),
inference(pattern_uni,[status(thm)],[22:[]]) ).
thf(4,axiom,
! [A: $i] :
( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(8,plain,
! [A: $i] :
( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,plain,
! [A: $i] :
( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(cnf,[status(esa)],[8]) ).
thf(60,plain,
! [A: $i] :
( ( ( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9,5]) ).
thf(61,plain,
! [A: $i] :
( ( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(74,plain,
! [A: $i] :
( ( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[61]) ).
thf(77,plain,
! [A: $i] :
( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) ),
inference(simp,[status(thm)],[74]) ).
thf(93,plain,
! [A: $i] :
( ( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ( ( $true
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(paramod_ordered,[status(thm)],[23,77]) ).
thf(94,plain,
! [A: $i] :
( ( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ( ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[93]) ).
thf(95,plain,
( ( ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
!= ( lBill_THFTYPE_i @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(pattern_uni,[status(thm)],[94:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(120,plain,
~ ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(simp,[status(thm)],[95]) ).
thf(123,plain,
! [A: $i] :
( ( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[7,120]) ).
thf(124,plain,
! [A: $i] :
( ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(126,plain,
! [A: $i] :
( ~ ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( A
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(132,plain,
~ ( lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(simp,[status(thm)],[126]) ).
thf(121,plain,
! [A: $i] :
( ( ( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9,120]) ).
thf(122,plain,
! [A: $i] :
( ( ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $true @ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[121]) ).
thf(125,plain,
! [A: $i] :
( ~ ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[122]) ).
thf(127,plain,
! [A: $i] :
( ( ~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) )
& ( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ) ),
inference(cnf,[status(esa)],[125]) ).
thf(128,plain,
! [A: $i] :
( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI ) ) ),
inference(cnfConj,[status(thm)],[127]) ).
thf(130,plain,
! [A: $i] : ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(simp,[status(thm)],[128]) ).
thf(159,plain,
~ $true,
inference(rewrite,[status(thm)],[132,130]) ).
thf(160,plain,
$false,
inference(simp,[status(thm)],[159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR126_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % 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
% 0.16/0.41 % Computer : n006.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 01:17:12 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 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
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.19 % [INFO] Parsing done (185ms).
% 1.38/1.20 % [INFO] Running in sequential loop mode.
% 1.98/1.61 % [INFO] eprover registered as external prover.
% 1.98/1.62 % [INFO] Scanning for conjecture ...
% 2.15/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.15/1.75 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.15/1.76 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.15/1.77 % [INFO] Type checking passed.
% 2.15/1.78 % [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 ...
% 4.62/2.80 % [INFO] Killing All external provers ...
% 4.92/2.80 % Time passed: 2243ms (effective reasoning time: 1586ms)
% 4.92/2.80 % 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)>
% 4.92/2.80 % Axioms used in derivation (2): ax, ax_001
% 4.92/2.80 % No. of inferences in proof: 36
% 4.92/2.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2243 ms resp. 1586 ms w/o parsing
% 4.92/2.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.92/2.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------