%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n001.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 08:21:01 AM UTC 2026
% Result : Theorem 3.69s 2.31s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 14 ~; 4 |; 2 &; 68 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 20 !; 4 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(killed_decl,type,
killed: $i > $i > $o ).
thf(agatha_decl,type,
agatha: $i ).
thf(lives_decl,type,
lives: $i > $o ).
thf(butler_decl,type,
butler: $i ).
thf(charles_decl,type,
charles: $i ).
thf(hates_decl,type,
hates: $i > $i > $o ).
thf(richer_decl,type,
richer: $i > $i > $o ).
thf(7,axiom,
! [A: $i] :
( ( A @ lives )
=> ( ( A = charles )
| ( A = butler )
| ( A = agatha ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_3) ).
thf(24,plain,
! [A: $i] :
( ( A @ lives )
=> ( ( A = charles )
| ( A = butler )
| ( A = agatha ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ killed ) )
=> ~ ( B @ ( A @ richer ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_5) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ killed ) )
=> ~ ( B @ ( A @ richer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
? [A: $i] :
( ( agatha @ ( A @ killed ) )
& ( A @ lives ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_1) ).
thf(17,plain,
? [A: $i] :
( ( agatha @ ( A @ killed ) )
& ( A @ lives ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,axiom,
agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_11) ).
thf(43,plain,
agatha != butler,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( agatha @ ( A @ richer ) )
=> ( A @ ( butler @ hates ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_8) ).
thf(36,plain,
! [A: $i] :
( ~ ( agatha @ ( A @ richer ) )
=> ( A @ ( butler @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( agatha @ hates ) )
=> ( A @ ( butler @ hates ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_9) ).
thf(38,plain,
! [A: $i] :
( ( A @ ( agatha @ hates ) )
=> ( A @ ( butler @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
agatha @ lives,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_2_1) ).
thf(21,plain,
agatha @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( A != butler )
=> ( A @ ( agatha @ hates ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_7) ).
thf(33,plain,
! [A: $i] :
( ( A != butler )
=> ( A @ ( agatha @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
butler @ lives,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_2_2) ).
thf(22,plain,
butler @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ killed ) )
=> ( B @ ( A @ hates ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_4) ).
thf(27,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ killed ) )
=> ( B @ ( A @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
agatha @ ( agatha @ killed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55) ).
thf(2,negated_conjecture,
~ ( agatha @ ( agatha @ killed ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( agatha @ ( agatha @ killed ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ ( agatha @ hates ) )
=> ~ ( A @ ( charles @ hates ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_6) ).
thf(31,plain,
! [A: $i] :
( ( A @ ( agatha @ hates ) )
=> ~ ( A @ ( charles @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(14,axiom,
! [A: $i] :
? [B: $i] :
~ ( B @ ( A @ hates ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_10) ).
thf(40,plain,
! [A: $i] :
? [B: $i] :
~ ( B @ ( A @ hates ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
charles @ lives,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_2_3) ).
thf(23,plain,
charles @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[24,29,17,43,36,38,21,33,22,27,16,31,40,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.14/0.39 % Computer : n001.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 05:08:12 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 0.85/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.17 % [INFO] Parsing done (195ms).
% 1.26/1.18 % [INFO] Running in sequential loop mode.
% 1.87/1.59 % [INFO] eprover registered as external prover.
% 2.06/1.60 % [INFO] Scanning for conjecture ...
% 2.06/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ...
% 2.23/1.71 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 2.23/1.74 % [INFO] Problem is first-order (TPTP FOF).
% 2.23/1.75 % [INFO] Type checking passed.
% 2.23/1.75 % [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 ...
% 3.69/2.31 % External prover 'e' found a proof!
% 3.69/2.31 % [INFO] Killing All external provers ...
% 3.69/2.31 % Time passed: 1770ms (effective reasoning time: 1121ms)
% 3.69/2.31 % 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)>
% 3.69/2.31 % Axioms used in derivation (13): pel55_1, pel55_6, pel55_4, pel55_9, pel55_2_3, pel55_11, pel55_7, pel55_2_1, pel55_5, pel55_10, pel55_8, pel55_3, pel55_2_2
% 3.69/2.31 % No. of inferences in proof: 30
% 3.69/2.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1770 ms resp. 1121 ms w/o parsing
% 3.69/2.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.69/2.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------