%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR120^3 : TPTP v9.3.1. Released v5.3.0.
% 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 : n011.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 07:46:53 AM UTC 2026
% Result : Theorem 9.04s 3.25s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 233 ( 43 ~; 12 |; 4 &; 160 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 43 !; 5 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(direction_THFTYPE_IiioI_decl,type,
direction_THFTYPE_IiioI: $i > $i > $o ).
thf(entails_THFTYPE_IoooI_decl,type,
entails_THFTYPE_IoooI: $o > $o > $o ).
thf(exactlyLocated_THFTYPE_IiioI_decl,type,
exactlyLocated_THFTYPE_IiioI: $i > $i > $o ).
thf(faces_THFTYPE_IiioI_decl,type,
faces_THFTYPE_IiioI: $i > $i > $o ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lWhereFn_THFTYPE_IiiiI_decl,type,
lWhereFn_THFTYPE_IiiiI: $i > $i > $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(lYear_THFTYPE_i_decl,type,
lYear_THFTYPE_i: $i ).
thf(relatedInternalConcept_THFTYPE_IiIiiIoI_decl,type,
relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $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(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(8,axiom,
! [A: $o,B: $o,C: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
& ( entails_THFTYPE_IoooI @ A @ B ) )
=> ( holdsDuring_THFTYPE_IiooI @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax660) ).
thf(24,plain,
! [A: $o,B: $o,C: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
& ( entails_THFTYPE_IoooI @ A @ B ) )
=> ( holdsDuring_THFTYPE_IiooI @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( direction_THFTYPE_IiioI @ B @ C ) )
=> ! [D: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( direction_THFTYPE_IiioI @ B @ D ) )
=> ( D = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1368) ).
thf(20,plain,
! [A: $i,B: $i,C: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( direction_THFTYPE_IiioI @ B @ C ) )
=> ! [D: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( direction_THFTYPE_IiioI @ B @ D ) )
=> ( D = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( lWhereFn_THFTYPE_IiiiI @ C @ B )
= A )
= ( holdsDuring_THFTYPE_IiooI @ B @ ( exactlyLocated_THFTYPE_IiioI @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1726) ).
thf(33,plain,
! [A: $i,B: $i,C: $i] :
( ( ( lWhereFn_THFTYPE_IiiiI @ C @ B )
= A )
= ( holdsDuring_THFTYPE_IiooI @ B @ ( exactlyLocated_THFTYPE_IiioI @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( faces_THFTYPE_IiioI @ B @ C ) )
=> ! [D: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( faces_THFTYPE_IiioI @ B @ D ) )
=> ( D = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1094) ).
thf(17,plain,
! [A: $i,B: $i,C: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( faces_THFTYPE_IiioI @ B @ C ) )
=> ! [D: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ( faces_THFTYPE_IiioI @ B @ D ) )
=> ( D = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(16,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[11]) ).
thf(38,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,12]) ).
thf(39,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[38]) ).
thf(40,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[39]) ).
thf(41,plain,
! [A: $i] :
( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[40]) ).
thf(42,plain,
! [A: $i] :
( ~ ~ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[41]) ).
thf(44,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[42]) ).
thf(7,axiom,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3351) ).
thf(23,plain,
relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax182) ).
thf(36,plain,
! [A: $i,B: $o] :
( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
=> ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( exactlyLocated_THFTYPE_IiioI @ A @ B )
=> ~ ? [C: $i] :
( ( exactlyLocated_THFTYPE_IiioI @ C @ B )
& ( C != A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax180) ).
thf(13,plain,
! [A: $i,B: $i] :
( ( exactlyLocated_THFTYPE_IiioI @ A @ B )
=> ~ ? [C: $i] :
( ( exactlyLocated_THFTYPE_IiioI @ C @ B )
& ( C != A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(119,plain,
$false,
inference(e,[status(thm)],[24,20,33,17,44,12,16,11,23,36,13,41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR120^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % 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
% 0.08/0.22 % Computer : n011.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 17:54:44 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 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
% 0.97/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.45/1.53 % [INFO] Parsing done (719ms).
% 3.45/1.54 % [INFO] Running in sequential loop mode.
% 4.60/1.93 % [INFO] eprover registered as external prover.
% 4.60/1.94 % [INFO] Scanning for conjecture ...
% 5.48/2.23 % [INFO] Found a conjecture (or negated_conjecture) and 3578 axioms. Running axiom selection ...
% 5.70/2.33 % [INFO] Axiom selection finished. Selected 8 axioms (removed 3570 axioms).
% 5.70/2.35 % [INFO] Problem is higher-order (TPTP THF).
% 5.70/2.36 % [INFO] Type checking passed.
% 5.70/2.36 % [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 ...
% 9.04/3.25 % External prover 'e' found a proof!
% 9.04/3.25 % [INFO] Killing All external provers ...
% 9.04/3.25 % Time passed: 2890ms (effective reasoning time: 1703ms)
% 9.04/3.25 % 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)>
% 9.04/3.25 % Axioms used in derivation (8): ax180, ax1094, ax1726, ax182, ax3351, ax, ax1368, ax660
% 9.04/3.25 % No. of inferences in proof: 27
% 9.04/3.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2890 ms resp. 1703 ms w/o parsing
% 9.04/3.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.04/3.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------