%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR148_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 : 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 : Sun Sep 27 07:03:25 AM UTC 2026
% Result : Theorem 3.82s 2.56s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 145 ( 23 ~; 5 |; 0 &; 111 @)
% ( 0 <=>; 6 =>; 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 : 41 ( 0 ^; 35 !; 6 ?; 41 :)
% 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,
lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(8,plain,
lBill_THFTYPE_i @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
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(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(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $o,B: $i] :
( A
=> ( A @ ( B @ holdsDuring_THFTYPE_IiooI ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(10,plain,
! [A: $o,B: $i] :
( A
=> ( A @ ( B @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,plain,
! [A: $i] :
( $true
=> ( $true @ ( A @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(instance,[status(thm)],[10]) ).
thf(12,plain,
! [A: $i] : ( $true @ ( A @ holdsDuring_THFTYPE_IiooI ) ),
inference(simp,[status(thm)],[11]) ).
thf(15,plain,
! [A: $i] : ( $true @ ( A @ holdsDuring_THFTYPE_IiooI ) ),
inference(cnf,[status(esa)],[12]) ).
thf(1,conjecture,
? [A: $i,B: $i] : ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( B @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] : ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( B @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i,B: $i] : ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( B @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [B: $i,A: $i] :
~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( B @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(cnf,[status(esa)],[6]) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( ( $true @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( B @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( C @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[15,7]) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( $true @ ( A @ holdsDuring_THFTYPE_IiooI ) )
!= ( B @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) @ ( C @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[19]) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( A
!= ( C @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[20]) ).
thf(25,plain,
! [A: $i] :
~ ( A @ ( lSue_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(simp,[status(thm)],[23]) ).
thf(27,plain,
( ! [A: $i] :
( ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
=> $false )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(rewrite,[status(thm)],[9,25]) ).
thf(28,plain,
( ! [A: $i] :
~ ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(simp,[status(thm)],[27]) ).
thf(26,plain,
! [A: $i] :
~ ( $false @ ( A @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(rewrite,[status(thm)],[7,25]) ).
thf(32,plain,
! [A: $i] :
~ ( $false @ ( A @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ),
inference(simp,[status(thm)],[26]) ).
thf(36,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $false @ ( A @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,32]) ).
thf(37,plain,
! [A: $i] :
( ( ! [B: $i] :
~ ( B @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
@ ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) )
!= ( $false @ ( A @ lYearFn_THFTYPE_IiiI @ holdsDuring_THFTYPE_IiooI ) ) ),
inference(simp,[status(thm)],[36]) ).
thf(39,plain,
! [A: $i] :
( ! [B: $i] :
~ ( B @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( A @ lYearFn_THFTYPE_IiiI ) ) ),
inference(simp,[status(thm)],[37]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) )
| ( ( n2009_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
!= ( A @ lYearFn_THFTYPE_IiiI ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(48,plain,
! [A: $i] :
~ ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( n2009_THFTYPE_i ))]]) ).
thf(53,plain,
! [A: $i] :
~ ( A @ ( lMary_THFTYPE_i @ likes_THFTYPE_IiioI ) ),
inference(simp,[status(thm)],[48]) ).
thf(55,plain,
$false,
inference(rewrite,[status(thm)],[8,53]) ).
thf(56,plain,
$false,
inference(simp,[status(thm)],[55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR148_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
% 0.12/0.39 % Computer : n018.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 01:21:38 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.89/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.16 % [INFO] Parsing done (186ms).
% 1.29/1.17 % [INFO] Running in sequential loop mode.
% 1.84/1.58 % [INFO] eprover registered as external prover.
% 1.84/1.59 % [INFO] Scanning for conjecture ...
% 2.03/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.21/1.73 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.21/1.74 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.21/1.74 % [INFO] Type checking passed.
% 2.21/1.75 % [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 ...
% 3.82/2.56 % [INFO] Killing All external provers ...
% 3.82/2.56 % Time passed: 2027ms (effective reasoning time: 1380ms)
% 3.82/2.56 % 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)>
% 3.82/2.56 % Axioms used in derivation (3): ax, ax_001, ax_002
% 3.82/2.56 % No. of inferences in proof: 29
% 3.82/2.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2027 ms resp. 1380 ms w/o parsing
% 4.06/2.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.06/2.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------