%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN003-1.006 : 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 : n003.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 09:16:28 AM UTC 2026
% Result : Unsatisfiable 3.72s 2.49s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 49 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 122 ( 62 ~; 60 |; 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 : 19 ( 18 usr; 19 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(r_1_decl,type,
r_1: $o ).
thf(r_2_decl,type,
r_2: $o ).
thf(r_3_decl,type,
r_3: $o ).
thf(r_4_decl,type,
r_4: $o ).
thf(r_5_decl,type,
r_5: $o ).
thf(q_decl,type,
q: $o ).
thf(r_decl,type,
r: $o ).
thf(18,negated_conjecture,
( r_3
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_3) ).
thf(41,plain,
( r_3
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(7,negated_conjecture,
( p_3
| ~ r_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_2) ).
thf(39,plain,
( p_3
| ~ r_2
| ~ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
( p_3
| ~ q_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_2) ).
thf(35,plain,
( p_3
| ~ q_2
| ~ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
( q_5
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_5) ).
thf(48,plain,
( q_5
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,negated_conjecture,
( p_2
| ~ r_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_1) ).
thf(31,plain,
( p_2
| ~ r_1
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,negated_conjecture,
( q_1
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_1) ).
thf(43,plain,
( q_1
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,negated_conjecture,
( p_5
| ~ q_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_4) ).
thf(47,plain,
( p_5
| ~ q_4
| ~ p_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,negated_conjecture,
( r_1
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_1) ).
thf(42,plain,
( r_1
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,negated_conjecture,
~ p_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_2) ).
thf(37,plain,
~ p_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(5,negated_conjecture,
( p_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_5) ).
thf(25,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(19,negated_conjecture,
( r_4
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_4) ).
thf(46,plain,
( r_4
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,negated_conjecture,
( r_5
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_5) ).
thf(29,plain,
( r_5
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,negated_conjecture,
( p_5
| ~ r_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_4) ).
thf(33,plain,
( p_5
| ~ r_4
| ~ p_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,negated_conjecture,
( q_4
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_4) ).
thf(28,plain,
( q_4
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,negated_conjecture,
( q_2
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_2) ).
thf(38,plain,
( q_2
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,negated_conjecture,
( p_4
| ~ r_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_3) ).
thf(45,plain,
( p_4
| ~ r_3
| ~ p_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_1) ).
thf(32,plain,
p_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,negated_conjecture,
( q_3
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qq_3) ).
thf(34,plain,
( q_3
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,negated_conjecture,
q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_3) ).
thf(44,plain,
q,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(24,negated_conjecture,
r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',base_4) ).
thf(27,plain,
r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(3,negated_conjecture,
( p_4
| ~ q_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_3) ).
thf(40,plain,
( p_4
| ~ q_3
| ~ p_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,negated_conjecture,
( p_6
| ~ r_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prp_5) ).
thf(26,plain,
( p_6
| ~ r_5
| ~ p_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,negated_conjecture,
( r_2
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_2) ).
thf(36,plain,
( r_2
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
( p_2
| ~ q_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pqp_1) ).
thf(30,plain,
( p_2
| ~ q_1
| ~ p_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(70,plain,
$false,
inference(e,[status(thm)],[41,39,35,48,31,43,47,42,37,25,46,29,33,28,38,45,32,34,44,27,40,26,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN003-1.006 : 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
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:05:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.99/1.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.71/1.30 % [INFO] Parsing done (271ms).
% 1.71/1.32 % [INFO] Running in sequential loop mode.
% 2.45/1.81 % [INFO] eprover registered as external prover.
% 2.45/1.82 % [INFO] Scanning for conjecture ...
% 2.61/1.92 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.61/1.96 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.61/1.97 % [INFO] Problem is propositional (TPTP CNF).
% 2.61/1.97 % [INFO] Type checking passed.
% 2.61/1.97 % [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 ...
% 3.72/2.49 % External prover 'e' found a proof!
% 3.72/2.49 % [INFO] Killing All external provers ...
% 3.72/2.49 % Time passed: 1950ms (effective reasoning time: 1161ms)
% 3.72/2.49 % Axioms used in derivation (0):
% 3.72/2.49 % No. of inferences in proof: 49
% 3.72/2.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1950 ms resp. 1161 ms w/o parsing
% 4.01/2.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.01/2.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------