%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 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 : n018.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 09:17:10 AM UTC 2026
% Result : Unsatisfiable 2.78s 1.45s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 4 ~; 6 |; 0 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $i > $i > $i > $o ).
thf(f0_decl,type,
f0: $i > $i ).
thf(f1_decl,type,
f1: $i > $i ).
thf(h0_decl,type,
h0: $i ).
thf(j0_decl,type,
j0: $i > $i ).
thf(h1_decl,type,
h1: $i > $i ).
thf(j1_decl,type,
j1: $i > $i ).
thf(h2_decl,type,
h2: $i > $i ).
thf(j2_decl,type,
j2: $i > $i ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ f1 @ ( A @ p ) ) )
| ~ ( B @ ( A @ f0 @ ( A @ p ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(3,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ f1 @ ( A @ p ) ) )
| ~ ( B @ ( A @ f0 @ ( A @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( B @ j2 @ ( B @ ( C @ h2 @ p ) ) )
| ( B @ j1 @ ( C @ ( A @ h1 @ p ) ) )
| ( B @ j0 @ ( A @ ( h0 @ p ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(4,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ j2 @ ( B @ ( C @ h2 @ p ) ) )
| ( B @ j1 @ ( C @ ( A @ h1 @ p ) ) )
| ( B @ j0 @ ( A @ ( h0 @ p ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(66,plain,
$false,
inference(e,[status(thm)],[3,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 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
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 17:34:36 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 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
% 0.62/0.67 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.76 % [INFO] Parsing done (84ms).
% 0.77/0.77 % [INFO] Running in sequential loop mode.
% 1.16/0.95 % [INFO] eprover registered as external prover.
% 1.16/0.95 % [INFO] Scanning for conjecture ...
% 1.16/1.00 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.16/1.02 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.16/1.02 % [INFO] Problem is propositional (TPTP CNF).
% 1.16/1.02 % [INFO] Type checking passed.
% 1.16/1.03 % [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 ...
% 2.78/1.45 % External prover 'e' found a proof!
% 2.78/1.45 % [INFO] Killing All external provers ...
% 2.78/1.45 % Time passed: 986ms (effective reasoning time: 684ms)
% 2.78/1.45 % Axioms used in derivation (0):
% 2.78/1.45 % No. of inferences in proof: 5
% 2.78/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 986 ms resp. 684 ms w/o parsing
% 2.78/1.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.78/1.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------