%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR130^2 : 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 : 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 : Wed Sep 30 07:46:56 AM UTC 2026
% Result : Theorem 18.18s 5.11s
% Output : Refutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 106 ( 14 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 305 ( 48 ~; 14 |; 19 &; 224 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 39 !; 3 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IIiioIioI_decl,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_decl,type,
lBinaryPredicate_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(meetsTemporally_THFTYPE_IiioI_decl,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(10,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_051) ).
thf(74,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(62,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(151,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[74,62]) ).
thf(152,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(165,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) ) ),
inference(pre_uni,[status(thm)],[152:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) ))]]) ).
thf(173,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[165]) ).
thf(43,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(120,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(44,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(121,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(787,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[121,173]) ).
thf(788,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[787]) ).
thf(811,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[788]) ).
thf(825,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[811]) ).
thf(834,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[121,825]) ).
thf(835,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& $true
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[825,62]) ).
thf(836,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[835]) ).
thf(842,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) ),
inference(pre_uni,[status(thm)],[836:[bind(A,$thf( likes_THFTYPE_IiioI ))]]) ).
thf(874,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[834,842]) ).
thf(875,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[874]) ).
thf(886,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) ),
inference(simp,[status(thm)],[875]) ).
thf(901,plain,
! [B: $i,A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(cnf,[status(esa)],[886]) ).
thf(902,plain,
! [B: $i,A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[901]) ).
thf(53,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(131,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(1247,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[131,173]) ).
thf(1248,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1247]) ).
thf(1279,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1248]) ).
thf(1305,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1279]) ).
thf(1306,plain,
! [B: $i,A: $i] :
( ~ $true
| ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(rewrite,[status(thm)],[902,1305]) ).
thf(1307,plain,
! [B: $i,A: $i] : ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[1306]) ).
thf(1409,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true,
inference(rewrite,[status(thm)],[120,1307]) ).
thf(1410,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
inference(simp,[status(thm)],[1409]) ).
thf(1411,plain,
~ $true,
inference(rewrite,[status(thm)],[173,1410]) ).
thf(1412,plain,
$false,
inference(simp,[status(thm)],[1411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR130^2 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.10/0.20 % Computer : n006.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 17:55:09 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.91/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.03 % [INFO] Parsing done (264ms).
% 1.24/1.04 % [INFO] Running in sequential loop mode.
% 2.34/1.41 % [INFO] eprover registered as external prover.
% 2.34/1.42 % [INFO] Scanning for conjecture ...
% 2.34/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 64 axioms. Running axiom selection ...
% 2.61/1.53 % [INFO] Axiom selection finished. Selected 58 axioms (removed 6 axioms).
% 2.61/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.61/1.56 % [INFO] Type checking passed.
% 2.61/1.56 % [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 ...
% 18.18/5.10 % [INFO] Killing All external provers ...
% 18.18/5.11 % Time passed: 4777ms (effective reasoning time: 4053ms)
% 18.18/5.11 % 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)>
% 18.18/5.11 % Axioms used in derivation (4): ax_051, ax_009, ax_005, ax_004
% 18.18/5.11 % No. of inferences in proof: 39
% 18.18/5.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4777 ms resp. 4053 ms w/o parsing
% 17.02/5.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.02/5.15 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------