%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ136^1 : TPTP v9.3.1. Released v5.2.0.
% 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 : n005.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 08:20:49 AM UTC 2026
% Result : Theorem 3.81s 2.25s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 20 ~; 6 |; 4 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 16 !; 11 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(parent_decl,type,
parent: $i > $i > $o ).
thf(kronus_decl,type,
kronus: $i ).
thf(zeus_decl,type,
zeus: $i ).
thf(sutekh_decl,type,
sutekh: $i ).
thf(horus_decl,type,
horus: $i ).
thf(1,conjecture,
? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hotwo) ).
thf(2,negated_conjecture,
~ ? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ? [A: $i > $o,B: $i,C: $i] :
( ( A @ B )
& ~ ( A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
~ ? [A: $i > $o] :
( ? [B: $i] : ( A @ B )
& ~ ! [B: $i] : ( A @ B ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(7,plain,
! [C: $i,B: $i,A: $i > $o] :
( ~ ( A @ B )
| ( A @ C ) ),
inference(cnf,[status(esa)],[6]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( A != A )
| ( A = B ) ),
inference(replace_leibeq,[status(thm)],[7:[bind(A,$thf( (=) @ $i @ B ))]]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( A != A )
| ( A = B ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(10,plain,
! [B: $i,A: $i] : ( A = B ),
inference(simp,[status(thm)],[9]) ).
thf(3,axiom,
parent @ kronus @ zeus,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(11,plain,
parent @ kronus @ zeus,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( parent @ A @ zeus )
| ( B != kronus ) ),
inference(paramod_ordered,[status(thm)],[10,11]) ).
thf(22,plain,
! [A: $i] : ( parent @ A @ zeus ),
inference(pattern_uni,[status(thm)],[21:[bind(A,$thf( A )),bind(B,$thf( kronus ))]]) ).
thf(4,axiom,
~ ( parent @ sutekh @ horus ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(12,plain,
~ ( parent @ sutekh @ horus ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
~ ( parent @ sutekh @ horus ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(42,plain,
! [A: $i] :
( ~ $true
| ( ( parent @ A @ zeus )
!= ( parent @ sutekh @ horus ) ) ),
inference(paramod_ordered,[status(thm)],[22,13]) ).
thf(43,plain,
! [A: $i] :
( ( parent @ A @ zeus )
!= ( parent @ sutekh @ horus ) ),
inference(simp,[status(thm)],[42]) ).
thf(44,plain,
! [A: $i] :
( ( A != sutekh )
| ( horus != zeus ) ),
inference(simp,[status(thm)],[43]) ).
thf(47,plain,
horus != zeus,
inference(simp,[status(thm)],[44]) ).
thf(48,plain,
$false,
inference(simplifyReflect,[status(thm)],[47,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ136^1 : TPTP v9.3.1. Released v5.2.0.
% 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
% 0.10/0.21 % Computer : n005.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 13:26:16 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
% 1.04/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.99 % [INFO] Parsing done (188ms).
% 1.24/1.00 % [INFO] Running in sequential loop mode.
% 2.03/1.41 % [INFO] eprover registered as external prover.
% 2.03/1.42 % [INFO] Scanning for conjecture ...
% 2.22/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.22/1.54 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.22/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.55 % [INFO] Type checking passed.
% 2.22/1.56 % [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 ...
% 3.81/2.24 % [INFO] Killing All external provers ...
% 3.81/2.25 % Time passed: 1885ms (effective reasoning time: 1235ms)
% 3.81/2.25 % 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)>
% 3.81/2.25 % Axioms used in derivation (2): ax1, ax2
% 3.81/2.25 % No. of inferences in proof: 20
% 3.81/2.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1885 ms resp. 1235 ms w/o parsing
% 3.81/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.81/2.29 % [INFO] Killing All external provers ...
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