%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL414+1 : 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 : n020.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 07:51:44 AM UTC 2026
% Result : Theorem 3.27s 2.25s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 137 ( 14 ~; 6 |; 12 &; 105 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 27 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_truth_decl,type,
a_truth: $i > $o ).
thf(implies_decl,type,
implies: $i > $i > $i ).
thf(not_decl,type,
not: $i > $i ).
thf(1,conjecture,
~ ( ? [A: $i] :
~ ( A @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ not @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i,C: $i] : ( C @ ( A @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] :
( ( B @ a_truth )
| ~ ( A @ a_truth )
| ~ ( B @ ( A @ implies ) @ a_truth ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147) ).
thf(2,negated_conjecture,
~ ~ ( ? [A: $i] :
~ ( A @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ not @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i,C: $i] : ( C @ ( A @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] :
( ( B @ a_truth )
| ~ ( A @ a_truth )
| ~ ( B @ ( A @ implies ) @ a_truth ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ? [A: $i] :
~ ( A @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ not @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i,C: $i] : ( C @ ( A @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ a_truth )
& ! [A: $i,B: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ a_truth )
& ! [A: $i,B: $i] :
( ( B @ a_truth )
| ~ ( A @ a_truth )
| ~ ( B @ ( A @ implies ) @ a_truth ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 22:29:03 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 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
% 0.90/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/1.08 % [INFO] Parsing done (175ms).
% 1.11/1.09 % [INFO] Running in sequential loop mode.
% 1.66/1.48 % [INFO] eprover registered as external prover.
% 1.66/1.49 % [INFO] Scanning for conjecture ...
% 2.02/1.60 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.02/1.64 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.02/1.64 % [INFO] Problem is first-order (TPTP FOF).
% 2.02/1.64 % [INFO] Type checking passed.
% 2.02/1.65 % [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 ...
% 3.27/2.25 % External prover 'e' found a proof!
% 3.27/2.25 % [INFO] Killing All external provers ...
% 3.27/2.25 % Time passed: 1694ms (effective reasoning time: 1152ms)
% 3.27/2.25 % Solved by 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)>
% 3.27/2.25 % Axioms used in derivation (0):
% 3.27/2.25 % No. of inferences in proof: 4
% 3.27/2.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1694 ms resp. 1152 ms w/o parsing
% 3.27/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------