%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 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 : n006.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 09:16:29 AM UTC 2026
% Result : Unsatisfiable 3.40s 2.25s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 118 ( 20 ~; 18 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_decl,type,
p_1: $i > $i > $o ).
thf(p_2_decl,type,
p_2: $i > $i > $o ).
thf(p_3_decl,type,
p_3: $i > $i > $o ).
thf(p_4_decl,type,
p_4: $i > $i > $o ).
thf(p_5_decl,type,
p_5: $i > $i > $o ).
thf(p_6_decl,type,
p_6: $i > $i > $o ).
thf(p_7_decl,type,
p_7: $i > $i > $o ).
thf(p_8_decl,type,
p_8: $i > $i > $o ).
thf(p_9_decl,type,
p_9: $i > $i > $o ).
thf(p_10_decl,type,
p_10: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(1,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( J @ p_10 ) )
| ~ ( J @ ( I @ p_9 ) )
| ~ ( I @ ( H @ p_8 ) )
| ~ ( H @ ( G @ p_7 ) )
| ~ ( G @ ( F @ p_6 ) )
| ~ ( F @ ( E @ p_5 ) )
| ~ ( E @ ( D @ p_4 ) )
| ~ ( D @ ( C @ p_3 ) )
| ~ ( C @ ( B @ p_2 ) )
| ~ ( B @ ( A @ p_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
thf(14,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( J @ p_10 ) )
| ~ ( J @ ( I @ p_9 ) )
| ~ ( I @ ( H @ p_8 ) )
| ~ ( H @ ( G @ p_7 ) )
| ~ ( G @ ( F @ p_6 ) )
| ~ ( F @ ( E @ p_5 ) )
| ~ ( E @ ( D @ p_4 ) )
| ~ ( D @ ( C @ p_3 ) )
| ~ ( C @ ( B @ p_2 ) )
| ~ ( B @ ( A @ p_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,negated_conjecture,
a @ ( a @ p_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
thf(20,plain,
a @ ( a @ p_10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,negated_conjecture,
a @ ( a @ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
thf(21,plain,
a @ ( a @ p_7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,negated_conjecture,
a @ ( a @ p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
thf(13,plain,
a @ ( a @ p_9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
a @ ( a @ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
thf(17,plain,
a @ ( a @ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
a @ ( a @ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
thf(22,plain,
a @ ( a @ p_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
a @ ( a @ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
thf(12,plain,
a @ ( a @ p_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
a @ ( a @ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
thf(18,plain,
a @ ( a @ p_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
a @ ( a @ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
thf(16,plain,
a @ ( a @ p_8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
a @ ( a @ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
thf(19,plain,
a @ ( a @ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
a @ ( a @ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
thf(15,plain,
a @ ( a @ p_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[14,20,21,13,17,22,12,18,16,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 17:03:11 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.15 % [INFO] Parsing done (184ms).
% 1.29/1.17 % [INFO] Running in sequential loop mode.
% 1.82/1.58 % [INFO] eprover registered as external prover.
% 1.82/1.58 % [INFO] Scanning for conjecture ...
% 2.01/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.75 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.21/1.75 % [INFO] Type checking passed.
% 2.21/1.76 % [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 ...
% 3.40/2.25 % External prover 'e' found a proof!
% 3.40/2.25 % [INFO] Killing All external provers ...
% 3.40/2.25 % Time passed: 1716ms (effective reasoning time: 1077ms)
% 3.40/2.25 % Axioms used in derivation (0):
% 3.40/2.25 % No. of inferences in proof: 23
% 3.40/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1716 ms resp. 1077 ms w/o parsing
% 3.40/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.40/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------