%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN101-1.002.002 : 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 : n019.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 3.58s 2.32s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 206 ( 42 ~; 40 |; 0 &; 124 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_2_decl,type,
p_1_2: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(p_2_2_decl,type,
p_2_2: $i > $i > $o ).
thf(nq_1_decl,type,
nq_1: $i > $o ).
thf(nq_2_decl,type,
nq_2: $i > $o ).
thf(q_1_1_decl,type,
q_1_1: $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(q_2_2_decl,type,
q_2_2: $i > $i > $o ).
thf(p_1_1_decl,type,
p_1_1: $i > $i > $o ).
thf(q_1_2_decl,type,
q_1_2: $i > $i > $o ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_1 ) )
| ~ ( B @ ( A @ p_2_2 ) )
| ( B @ ( A @ p_1_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_1) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_1 ) )
| ~ ( B @ ( A @ p_2_2 ) )
| ( B @ ( A @ p_1_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_2 ) )
| ( B @ ( A @ p_2_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type22_1) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_2 ) )
| ( B @ ( A @ p_2_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
~ ( a @ ( a @ p_1_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).
thf(18,plain,
~ ( a @ ( a @ p_1_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,axiom,
a @ nq_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
thf(43,plain,
a @ nq_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,axiom,
b @ nq_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_4) ).
thf(24,plain,
b @ nq_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ q_2_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_4) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ q_2_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ p_2_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).
thf(20,plain,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ p_2_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_2 ) )
| ( B @ ( A @ p_1_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type21_1) ).
thf(46,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_2 ) )
| ( B @ ( A @ p_1_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ p_1_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ p_1_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
a @ nq_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
thf(38,plain,
a @ nq_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_1 ) )
| ~ ( B @ ( A @ p_2_2 ) )
| ( B @ ( A @ q_1_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type12_1) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_1 ) )
| ~ ( B @ ( A @ p_2_2 ) )
| ( B @ ( A @ q_1_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_2 ) )
| ( B @ ( A @ q_1_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type21_2) ).
thf(34,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_2 ) )
| ( B @ ( A @ q_1_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ q_1_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_2) ).
thf(22,plain,
! [B: $i,A: $i] :
( ~ ( B @ nq_2 )
| ~ ( A @ nq_1 )
| ( B @ ( A @ q_1_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_1 ) )
| ~ ( B @ ( A @ q_2_2 ) )
| ( B @ ( A @ p_1_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_2) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_1 ) )
| ~ ( B @ ( A @ q_2_2 ) )
| ( B @ ( A @ p_1_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
b @ nq_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_2) ).
thf(27,plain,
b @ nq_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_1 ) )
| ~ ( B @ ( A @ q_2_2 ) )
| ( B @ ( A @ q_1_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type12_2) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_1_1 ) )
| ~ ( B @ ( A @ q_2_2 ) )
| ( B @ ( A @ q_1_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_2 ) )
| ( B @ ( A @ q_2_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type22_2) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ q_1_2 ) )
| ( B @ ( A @ q_2_2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[41,39,18,43,24,25,20,46,28,38,32,34,22,44,27,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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
% 0.15/0.40 % Computer : n019.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 17:11:49 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 0.88/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.18 % [INFO] Parsing done (190ms).
% 1.26/1.19 % [INFO] Running in sequential loop mode.
% 2.01/1.60 % [INFO] eprover registered as external prover.
% 2.01/1.61 % [INFO] Scanning for conjecture ...
% 2.01/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ...
% 2.17/1.75 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.17/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.78 % [INFO] Type checking passed.
% 2.17/1.78 % [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 ...
% 3.58/2.31 % External prover 'e' found a proof!
% 3.58/2.31 % [INFO] Killing All external provers ...
% 3.58/2.32 % Time passed: 1769ms (effective reasoning time: 1117ms)
% 3.58/2.32 % Axioms used in derivation (16): n_t2_4, n_s2_type11_2, n_2, n_s2_type12_2, n_s2_type22_1, n_t2_1, n_s2_type11_1, n_1, n_t2_2, n_s2_type22_2, n_s2_type21_1, n_t2_3, n_s2_type21_2, n_3, n_s2_type12_1, n_4
% 3.58/2.32 % No. of inferences in proof: 35
% 3.58/2.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1769 ms resp. 1117 ms w/o parsing
% 3.58/2.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.58/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------