%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN004-1.007 : 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 : n016.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 4.02s 2.68s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 102 ( 52 ~; 50 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_decl,type,
p_1: $o ).
thf(q_1_decl,type,
q_1: $o ).
thf(p_2_decl,type,
p_2: $o ).
thf(q_2_decl,type,
q_2: $o ).
thf(p_3_decl,type,
p_3: $o ).
thf(q_3_decl,type,
q_3: $o ).
thf(p_4_decl,type,
p_4: $o ).
thf(q_4_decl,type,
q_4: $o ).
thf(p_5_decl,type,
p_5: $o ).
thf(q_5_decl,type,
q_5: $o ).
thf(p_6_decl,type,
p_6: $o ).
thf(q_6_decl,type,
q_6: $o ).
thf(p_7_decl,type,
p_7: $o ).
thf(q_7_decl,type,
q_7: $o ).
thf(10,negated_conjecture,
( q_5
| ~ q_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_4) ).
thf(17,plain,
( q_5
| ~ q_4
| ~ p_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(14,negated_conjecture,
q_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_2) ).
thf(18,plain,
q_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,negated_conjecture,
( p_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_5) ).
thf(16,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,negated_conjecture,
( q_7
| ~ q_6
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_6) ).
thf(24,plain,
( q_7
| ~ q_6
| ~ p_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,negated_conjecture,
( q_2
| ~ q_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_1) ).
thf(25,plain,
( q_2
| ~ q_1
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,negated_conjecture,
( p_7
| ~ q_6
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_6) ).
thf(20,plain,
( p_7
| ~ q_6
| ~ p_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
( p_5
| ~ q_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_4) ).
thf(29,plain,
( p_5
| ~ q_4
| ~ p_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,negated_conjecture,
( q_3
| ~ q_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_2) ).
thf(28,plain,
( q_3
| ~ q_2
| ~ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,negated_conjecture,
( q_4
| ~ q_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_3) ).
thf(21,plain,
( q_4
| ~ q_3
| ~ p_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_1) ).
thf(22,plain,
p_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,negated_conjecture,
( q_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqq_5) ).
thf(27,plain,
( q_6
| ~ q_5
| ~ p_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
( p_4
| ~ q_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_3) ).
thf(26,plain,
( p_4
| ~ q_3
| ~ p_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
( p_3
| ~ q_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_2) ).
thf(23,plain,
( p_3
| ~ q_2
| ~ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
( ~ q_7
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_3) ).
thf(30,plain,
( ~ q_7
| ~ p_7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,negated_conjecture,
( p_2
| ~ q_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_1) ).
thf(19,plain,
( p_2
| ~ q_1
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[17,18,16,24,25,20,29,28,21,22,27,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.14/0.41 % Computer : n016.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 17:08:33 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 1.19/1.19 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.46/1.37 % [INFO] Parsing done (176ms).
% 1.46/1.38 % [INFO] Running in sequential loop mode.
% 2.12/1.79 % [INFO] eprover registered as external prover.
% 2.12/1.80 % [INFO] Scanning for conjecture ...
% 2.32/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.52/1.94 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.52/1.94 % [INFO] Problem is propositional (TPTP CNF).
% 2.52/1.95 % [INFO] Type checking passed.
% 2.52/1.95 % [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 ...
% 4.02/2.67 % External prover 'e' found a proof!
% 4.02/2.67 % [INFO] Killing All external provers ...
% 4.02/2.67 % Time passed: 2057ms (effective reasoning time: 1287ms)
% 4.02/2.67 % Axioms used in derivation (0):
% 4.02/2.67 % No. of inferences in proof: 31
% 4.02/2.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2057 ms resp. 1287 ms w/o parsing
% 4.38/2.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.38/2.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------