%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 : Sun Sep 27 07:03:24 AM UTC 2026
% Result : Theorem 5.11s 3.29s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 102 ( 4 ~; 2 |; 6 &; 78 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(s__more_experienced_decl,type,
s__more_experienced: $i > $i > $o ).
thf(jim_decl,type,
jim: $i ).
thf(geoff_decl,type,
geoff: $i ).
thf(s__Human_decl,type,
s__Human: $i > $o ).
thf(s__LivingThing_decl,type,
s__LivingThing: $i > $o ).
thf(s__siblingFn_decl,type,
s__siblingFn: $i > $i ).
thf(s__age_decl,type,
s__age: $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(s__has_seen_more_decl,type,
s__has_seen_more: $i > $i > $o ).
thf(n48_decl,type,
n48: $i ).
thf(n54_decl,type,
n54: $i ).
thf(5,axiom,
! [A: $i] :
( ( A @ s__Human )
=> ( A @ s__LivingThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',humans_are_living) ).
thf(21,plain,
! [A: $i] :
( ( A @ s__Human )
=> ( A @ s__LivingThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ s__Human )
=> ( ( ( C @ ( B @ greater ) )
& ( C @ ( A @ s__siblingFn @ s__age ) )
& ( B @ ( A @ s__age ) ) )
=> ( ( A @ ( A @ s__siblingFn @ s__has_seen_more ) )
| ( A @ s__siblingFn @ ( A @ s__more_experienced ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',experience) ).
thf(27,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ s__Human )
=> ( ( ( C @ ( B @ greater ) )
& ( C @ ( A @ s__siblingFn @ s__age ) )
& ( B @ ( A @ s__age ) ) )
=> ( ( A @ ( A @ s__siblingFn @ s__has_seen_more ) )
| ( A @ s__siblingFn @ ( A @ s__more_experienced ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
~ ( jim @ ( geoff @ s__has_seen_more ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_has_seen_more) ).
thf(39,plain,
~ ( jim @ ( geoff @ s__has_seen_more ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
n54 @ ( jim @ s__age ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_54) ).
thf(35,plain,
n54 @ ( jim @ s__age ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
geoff @ ( jim @ s__more_experienced ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_is_experienced) ).
thf(2,negated_conjecture,
~ ( geoff @ ( jim @ s__more_experienced ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( geoff @ ( jim @ s__more_experienced ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
geoff @ s__Human,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_human) ).
thf(23,plain,
geoff @ s__Human,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
jim @ s__Human,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jim_human) ).
thf(24,plain,
jim @ s__Human,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
( geoff
= ( jim @ s__siblingFn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_and_jim) ).
thf(37,plain,
( geoff
= ( jim @ s__siblingFn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ s__Human )
=> ( A @ s__siblingFn @ s__Human ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sibling_type) ).
thf(25,plain,
! [A: $i] :
( ( A @ s__Human )
=> ( A @ s__siblingFn @ s__Human ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
n48 @ ( geoff @ s__age ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',geoff_48) ).
thf(34,plain,
n48 @ ( geoff @ s__age ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
? [A: $i] : ( A @ s__Human ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',human_type) ).
thf(17,plain,
? [A: $i] : ( A @ s__Human ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
n48 @ ( n54 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greater_54_48) ).
thf(36,plain,
n48 @ ( n54 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( B @ s__Human )
& ( A @ s__Human ) )
=> ( ( A
= ( B @ s__siblingFn ) )
=> ( B
= ( A @ s__siblingFn ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sibling_symmetry) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( B @ s__Human )
& ( A @ s__Human ) )
=> ( ( A
= ( B @ s__siblingFn ) )
=> ( B
= ( A @ s__siblingFn ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,axiom,
? [A: $i] : ( A @ s__LivingThing ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',living_type) ).
thf(19,plain,
? [A: $i] : ( A @ s__LivingThing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(41,plain,
$false,
inference(e,[status(thm)],[21,27,39,35,16,23,24,37,25,34,17,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR147+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.22/0.48 % Computer : n008.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 01:20:10 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.45/1.31 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.79/1.58 % [INFO] Parsing done (267ms).
% 2.01/1.60 % [INFO] Running in sequential loop mode.
% 2.93/2.21 % [INFO] eprover registered as external prover.
% 2.93/2.22 % [INFO] Scanning for conjecture ...
% 3.12/2.34 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 3.12/2.38 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 3.28/2.43 % [INFO] Problem is first-order (TPTP FOF).
% 3.28/2.43 % [INFO] Type checking passed.
% 3.28/2.44 % [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 ...
% 5.11/3.28 % External prover 'e' found a proof!
% 5.11/3.28 % [INFO] Killing All external provers ...
% 5.11/3.28 % Time passed: 2592ms (effective reasoning time: 1671ms)
% 5.11/3.28 % 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)>
% 5.11/3.28 % Axioms used in derivation (13): geoff_human, jim_has_seen_more, jim_human, geoff_48, living_type, experience, human_type, sibling_type, geoff_and_jim, humans_are_living, jim_54, greater_54_48, sibling_symmetry
% 5.11/3.28 % No. of inferences in proof: 30
% 5.11/3.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2592 ms resp. 1671 ms w/o parsing
% 5.46/3.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.46/3.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------