%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR152^2 : 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 : n015.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 07:47:02 AM UTC 2026
% Result : Theorem 273.91s 135.88s
% Output : Refutation 274.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 130 ( 23 ~; 10 |; 0 &; 92 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(knows_THFTYPE_IiooI_decl,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lChris_THFTYPE_i_decl,type,
lChris_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(43,axiom,
( knows_THFTYPE_IiooI @ lChris_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_018) ).
thf(110,plain,
( knows_THFTYPE_IiooI @ lChris_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)],[43]) ).
thf(1,conjecture,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(45,axiom,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_015) ).
thf(112,plain,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(810,plain,
( ~ $true
| ( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[112,50]) ).
thf(811,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ),
inference(simp,[status(thm)],[810]) ).
thf(812,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[811]) ).
thf(813,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[812]) ).
thf(816,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ),
inference(rewrite,[status(thm)],[50,813]) ).
thf(4396,plain,
( ~ $true
| ( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[110,816]) ).
thf(4397,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ),
inference(simp,[status(thm)],[4396]) ).
thf(4398,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[4397]) ).
thf(4399,plain,
! [A: $i] :
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(cnf,[status(esa)],[4398]) ).
thf(4400,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[4399]) ).
thf(41112,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ~ $true
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[4400,813]) ).
thf(41113,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[41112]) ).
thf(41114,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[41113:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(42,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(109,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(41122,plain,
~ $true,
inference(rewrite,[status(thm)],[41114,109]) ).
thf(41123,plain,
$false,
inference(simp,[status(thm)],[41122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR152^2 : 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
% 0.10/0.22 % Computer : n015.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 18:01:18 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.67/0.53 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/0.67 % [INFO] Parsing done (143ms).
% 1.08/0.68 % [INFO] Running in sequential loop mode.
% 1.95/1.07 % [INFO] eprover registered as external prover.
% 1.95/1.08 % [INFO] Scanning for conjecture ...
% 2.15/1.18 % [INFO] Found a conjecture (or negated_conjecture) and 48 axioms. Running axiom selection ...
% 2.27/1.27 % [INFO] Axiom selection finished. Selected 47 axioms (removed 1 axioms).
% 2.48/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 2.48/1.33 % [INFO] Type checking passed.
% 2.48/1.34 % [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 ...
% 273.91/135.87 % [INFO] Killing All external provers ...
% 273.91/135.88 % Time passed: 135566ms (effective reasoning time: 135188ms)
% 273.91/135.88 % 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)>
% 273.91/135.88 % Axioms used in derivation (3): ax_018, ax_015, ax_006
% 273.91/135.88 % No. of inferences in proof: 24
% 273.91/135.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 135566 ms resp. 135188 ms w/o parsing
% 274.55/135.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 274.55/135.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------