%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR134^1 : 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 : n017.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 07:46:57 AM UTC 2026
% Result : Theorem 7.97s 3.35s
% Output : Refutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 245 ( 49 ~; 12 |; 6 &; 178 @)
% ( 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 : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 21 !; 9 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(5,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(17,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(15,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[13]) ).
thf(43,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ $true ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,14]) ).
thf(44,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[43]) ).
thf(54,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(pre_uni,[status(thm)],[44:[bind(A,$thf( ^ [C: $i] : ^ [D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )),bind(B,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(171,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[17,54]) ).
thf(172,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[171]) ).
thf(185,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[172]) ).
thf(191,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(cnf,[status(esa)],[185]) ).
thf(192,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[191]) ).
thf(107,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[15,54]) ).
thf(108,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[107]) ).
thf(112,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[108]) ).
thf(113,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[112]) ).
thf(117,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[15,113]) ).
thf(120,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[113,14]) ).
thf(121,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( A @ C @ lAnna_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[120]) ).
thf(128,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[121:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( parent_THFTYPE_IiioI @ D @ lAnna_THFTYPE_i ) )),bind(B,$thf( lMary_THFTYPE_i )),bind(C,$thf( C ))]]) ).
thf(132,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[128]) ).
thf(527,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[117,132]) ).
thf(528,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[527]) ).
thf(539,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[528]) ).
thf(542,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(cnf,[status(esa)],[539]) ).
thf(543,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[542]) ).
thf(544,plain,
~ $true,
inference(rewrite,[status(thm)],[192,543]) ).
thf(545,plain,
$false,
inference(simp,[status(thm)],[544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR134^1 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.09/0.22 % Computer : n017.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 17:51:22 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.23 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
% 1.02/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.01 % [INFO] Parsing done (203ms).
% 1.18/1.02 % [INFO] Running in sequential loop mode.
% 1.98/1.42 % [INFO] eprover registered as external prover.
% 1.98/1.43 % [INFO] Scanning for conjecture ...
% 2.16/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 2.16/1.57 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.16/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 2.16/1.59 % [INFO] Type checking passed.
% 2.16/1.59 % [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 ...
% 7.97/3.34 % [INFO] Killing All external provers ...
% 7.97/3.35 % Time passed: 2981ms (effective reasoning time: 2315ms)
% 7.97/3.35 % 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)>
% 7.97/3.35 % Axioms used in derivation (2): ax_002, ax
% 7.97/3.35 % No. of inferences in proof: 32
% 7.97/3.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2981 ms resp. 2315 ms w/o parsing
% 7.97/3.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.97/3.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------