%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% 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 3.27s 22.65s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 106 ( 18 ~; 16 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $o ).
thf(t_decl,type,
t: $i > $i > $i > $o ).
thf(q_decl,type,
q: $i > $i > $i > $o ).
thf(r_decl,type,
r: $i > $i > $i > $o ).
thf(s_decl,type,
s: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ t ) ) )
| ~ ( C @ ( B @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ t ) ) )
| ~ ( C @ ( B @ ( A @ r ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ t ) ) )
| ~ ( C @ ( B @ ( A @ r ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
b @ s,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(9,plain,
b @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
c @ ( c @ ( c @ t ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(13,plain,
c @ ( c @ ( c @ t ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ t ) ) )
| ~ ( C @ ( B @ ( A @ q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ t ) ) )
| ~ ( C @ ( B @ ( A @ q ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
a @ s,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(16,plain,
a @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
c @ s,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(11,plain,
c @ s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ r ) ) )
| ( A @ ( C @ ( B @ q ) ) )
| ( C @ ( B @ ( A @ p ) ) )
| ~ ( C @ s )
| ~ ( B @ s )
| ~ ( A @ s ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ ( C @ r ) ) )
| ( A @ ( C @ ( B @ q ) ) )
| ( C @ ( B @ ( A @ p ) ) )
| ~ ( C @ s )
| ~ ( B @ s )
| ~ ( A @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[10,14,9,13,12,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN009-2 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/20.80 % CPULimit : 300
% 0.10/20.80 % WCLimit : 300
% 0.10/20.80 % DateTime : Sat Sep 26 17:04:23 UTC 2026
% 0.10/20.81 % CPUTime :
% 0.10/20.81 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
% 1.32/21.46 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.63/21.62 % [INFO] Parsing done (164ms).
% 1.63/21.64 % [INFO] Running in sequential loop mode.
% 2.26/22.04 % [INFO] eprover registered as external prover.
% 2.26/22.05 % [INFO] Scanning for conjecture ...
% 2.42/22.15 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.42/22.20 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.52/22.20 % [INFO] Problem is propositional (TPTP CNF).
% 2.52/22.20 % [INFO] Type checking passed.
% 2.52/22.20 % [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 ...
% 3.27/22.65 % External prover 'e' found a proof!
% 3.27/22.65 % [INFO] Killing All external provers ...
% 3.27/22.65 % Time passed: 1634ms (effective reasoning time: 1007ms)
% 3.27/22.65 % Axioms used in derivation (0):
% 3.27/22.65 % No. of inferences in proof: 17
% 3.27/22.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1634 ms resp. 1007 ms w/o parsing
% 3.27/22.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/22.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------