%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n012.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 07:47:00 AM UTC 2026
% Result : Theorem 2.10s 1.20s
% Output : Refutation 2.10s
% 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,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(8,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(9,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)],[4]) ).
thf(5,axiom,
! [A: $o,B: $i] :
( A
=> ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(10,plain,
! [A: $o,B: $i] :
( A
=> ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,plain,
! [A: $i] :
( $true
=> ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ),
inference(instance,[status(thm)],[10]) ).
thf(12,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(simp,[status(thm)],[11]) ).
thf(15,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(cnf,[status(esa)],[12]) ).
thf(1,conjecture,
? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
file('/export/starexec/sandbox/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(6,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(7,plain,
! [B: $i,A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(cnf,[status(esa)],[6]) ).
thf(19,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)],[15,7]) ).
thf(20,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)],[19]) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ C ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[20]) ).
thf(25,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[23]) ).
thf(27,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> $false ) ),
inference(rewrite,[status(thm)],[9,25]) ).
thf(28,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[27]) ).
thf(26,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ),
inference(rewrite,[status(thm)],[7,25]) ).
thf(32,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ),
inference(simp,[status(thm)],[26]) ).
thf(36,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 @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[28,32]) ).
thf(37,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $false ) ),
inference(simp,[status(thm)],[36]) ).
thf(39,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ A ) )
| ! [B: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[37]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ A ) )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ),
inference(cnf,[status(esa)],[39]) ).
thf(48,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( n2009_THFTYPE_i ))]]) ).
thf(53,plain,
! [A: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ),
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
% 0.00/0.01 % Problem : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % 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
% 0.06/0.12 % Computer : n012.cluster.edu
% 0.06/0.12 % Model : x86_64 x86_64
% 0.06/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.12 % Memory : 8046.5625MB
% 0.06/0.12 % OS : Linux 6.8.0-71-generic
% 0.06/0.12 % CPULimit : 300
% 0.06/0.12 % WCLimit : 300
% 0.06/0.12 % DateTime : Tue Sep 29 17:56:33 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 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
% 0.42/0.42 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.57/0.52 % [INFO] Parsing done (93ms).
% 0.57/0.52 % [INFO] Running in sequential loop mode.
% 1.03/0.71 % [INFO] eprover registered as external prover.
% 1.03/0.71 % [INFO] Scanning for conjecture ...
% 1.03/0.76 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.03/0.78 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.03/0.78 % [INFO] Problem is higher-order (TPTP THF).
% 1.03/0.78 % [INFO] Type checking passed.
% 1.03/0.79 % [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 ...
% 1.93/1.20 % [INFO] Killing All external provers ...
% 2.10/1.20 % Time passed: 997ms (effective reasoning time: 670ms)
% 2.10/1.20 % 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)>
% 2.10/1.20 % Axioms used in derivation (3): ax, ax_001, ax_002
% 2.10/1.20 % No. of inferences in proof: 29
% 2.10/1.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 997 ms resp. 670 ms w/o parsing
% 2.10/1.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.10/1.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------