%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : n026.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 08:03:11 AM UTC 2026
% Result : Theorem 3.71s 2.55s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 2 ~; 0 |; 4 &; 8 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 ^; 4 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_decl,type,
goal: $o ).
thf(drunk_decl,type,
drunk: $i > $o ).
thf(not_drunk_decl,type,
not_drunk: $i > $o ).
thf(neg_psi_decl,type,
neg_psi: $o ).
thf(1,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(2,negated_conjecture,
~ goal,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ goal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( ( A @ not_drunk )
& ( A @ drunk ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_cons) ).
thf(7,plain,
! [A: $i] :
( ( ( A @ not_drunk )
& ( A @ drunk ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( neg_psi
& ( A @ drunk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_phi) ).
thf(10,plain,
! [A: $i] :
( neg_psi
& ( A @ drunk ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( neg_psi
=> ? [A: $i] : ( A @ not_drunk ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_psi_ax) ).
thf(15,plain,
( neg_psi
=> ? [A: $i] : ( A @ not_drunk ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[6,7,10,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.13/0.40 % Computer : n026.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 00:18:25 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 1.28/1.26 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.81/1.50 % [INFO] Parsing done (239ms).
% 1.81/1.51 % [INFO] Running in sequential loop mode.
% 2.43/1.92 % [INFO] eprover registered as external prover.
% 2.43/1.93 % [INFO] Scanning for conjecture ...
% 2.43/2.00 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.65/2.03 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.65/2.04 % [INFO] Problem is first-order (TPTP FOF).
% 2.65/2.05 % [INFO] Type checking passed.
% 2.65/2.06 % [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 ...
% 3.71/2.54 % External prover 'e' found a proof!
% 3.71/2.55 % [INFO] Killing All external provers ...
% 3.71/2.55 % Time passed: 1935ms (effective reasoning time: 1026ms)
% 3.71/2.55 % 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)>
% 3.71/2.55 % Axioms used in derivation (3): d_cons, neg_phi, neg_psi_ax
% 3.71/2.55 % No. of inferences in proof: 10
% 3.71/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1935 ms resp. 1026 ms w/o parsing
% 3.71/2.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.71/2.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------