%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN095-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 : 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 09:16:48 AM UTC 2026
% Result : Unsatisfiable 3.13s 2.21s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 26 ~; 24 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_2_decl,type,
p_1_2: $i > $o ).
thf(p_2_2_decl,type,
p_2_2: $i > $o ).
thf(p_1_1_decl,type,
p_1_1: $i > $o ).
thf(q_2_2_decl,type,
q_2_2: $i > $o ).
thf(q_1_1_decl,type,
q_1_1: $i > $o ).
thf(q_1_2_decl,type,
q_1_2: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(6,axiom,
! [A: $i] :
( ~ ( A @ p_1_2 )
| ( A @ p_1_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_1) ).
thf(24,plain,
! [A: $i] :
( ~ ( A @ p_1_2 )
| ( A @ p_1_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_goal_1) ).
thf(14,plain,
! [A: $i] :
~ ( A @ p_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [A: $i] :
( ~ ( A @ q_1_1 )
| ~ ( A @ p_2_2 )
| ( A @ q_1_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_1) ).
thf(20,plain,
! [A: $i] :
( ~ ( A @ q_1_1 )
| ~ ( A @ p_2_2 )
| ( A @ q_1_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( A @ p_1_1 )
| ~ ( A @ q_2_2 )
| ( A @ q_1_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_2) ).
thf(22,plain,
! [A: $i] :
( ~ ( A @ p_1_1 )
| ~ ( A @ q_2_2 )
| ( A @ q_1_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
a @ q_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_4) ).
thf(35,plain,
a @ q_2_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( A @ q_1_1 )
| ~ ( A @ q_2_2 )
| ( A @ p_1_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_2) ).
thf(18,plain,
! [A: $i] :
( ~ ( A @ q_1_1 )
| ~ ( A @ q_2_2 )
| ( A @ p_1_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [A: $i] :
( ~ ( A @ p_1_1 )
| ~ ( A @ p_2_2 )
| ( A @ p_1_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_1) ).
thf(16,plain,
! [A: $i] :
( ~ ( A @ p_1_1 )
| ~ ( A @ p_2_2 )
| ( A @ p_1_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( A @ q_1_2 )
| ( A @ q_1_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_2) ).
thf(26,plain,
! [A: $i] :
( ~ ( A @ q_1_2 )
| ( A @ q_1_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( A @ q_1_2 )
| ( A @ q_2_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_2) ).
thf(30,plain,
! [A: $i] :
( ~ ( A @ q_1_2 )
| ( A @ q_2_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( A @ p_1_2 )
| ( A @ p_2_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_1) ).
thf(28,plain,
! [A: $i] :
( ~ ( A @ p_1_2 )
| ( A @ p_2_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
a @ q_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_2) ).
thf(33,plain,
a @ q_1_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,axiom,
a @ p_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_1) ).
thf(32,plain,
a @ p_1_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
a @ p_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_3) ).
thf(34,plain,
a @ p_2_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(36,plain,
$false,
inference(e,[status(thm)],[24,14,20,22,35,18,16,26,30,28,33,32,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN095-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % 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
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 17:16:43 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.85/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.17 % [INFO] Parsing done (184ms).
% 1.27/1.19 % [INFO] Running in sequential loop mode.
% 1.74/1.59 % [INFO] eprover registered as external prover.
% 1.74/1.59 % [INFO] Scanning for conjecture ...
% 1.90/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 2.07/1.71 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 2.07/1.72 % [INFO] Problem is propositional (TPTP CNF).
% 2.07/1.73 % [INFO] Type checking passed.
% 2.07/1.73 % [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 ...
% 3.13/2.21 % External prover 'e' found a proof!
% 3.13/2.21 % [INFO] Killing All external provers ...
% 3.13/2.21 % Time passed: 1664ms (effective reasoning time: 1018ms)
% 3.13/2.21 % Axioms used in derivation (12): m_s2_type11_1, m_s2_type22_1, m_s2_type11_2, m_t2_1, m_s2_type12_1, m_s2_type22_2, m_t2_3, m_s2_type12_2, m_t2_4, m_s2_type21_2, m_s2_type21_1, m_t2_2
% 3.13/2.21 % No. of inferences in proof: 27
% 3.13/2.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1664 ms resp. 1018 ms w/o parsing
% 3.13/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.13/2.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------