%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/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 09:09:52 AM UTC 2026
% Result : Theorem 8.72s 4.86s
% Output : Refutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 2 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 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 : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_P_decl,type,
v_P: $i > $i > $o ).
thf(v_Q_H_decl,type,
v_Q_H: $i > $i > $o ).
thf(v_Q_decl,type,
v_Q: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ! [D: $i] :
( ( B @ ( D @ v_P ) )
=> ( C @ ( D @ v_Q_H ) ) )
=> ( C @ ( A @ v_Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ! [D: $i] :
( ( B @ ( D @ v_P ) )
=> ( C @ ( D @ v_Q_H ) ) )
=> ( C @ ( A @ v_Q ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i] :
( ( B @ ( A @ v_P ) )
=> ! [C: $i] :
( ! [D: $i] :
( ( B @ ( D @ v_P ) )
=> ( C @ ( D @ v_Q_H ) ) )
=> ( C @ ( A @ v_Q ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ v_Q_H ) )
=> ( B @ ( A @ v_Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(9,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ v_Q_H ) )
=> ( B @ ( A @ v_Q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[4,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.41 % Computer : n020.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 15:37:48 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.84/1.05 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.99/2.46 % [INFO] Parsing done (1408ms).
% 3.99/2.48 % [INFO] Running in sequential loop mode.
% 4.63/3.03 % [INFO] eprover registered as external prover.
% 4.63/3.04 % [INFO] Scanning for conjecture ...
% 6.97/3.94 % [INFO] Found a conjecture (or negated_conjecture) and 5241 axioms. Running axiom selection ...
% 7.39/4.11 % [INFO] Axiom selection finished. Selected 1 axioms (removed 5240 axioms).
% 7.39/4.12 % [INFO] Problem is first-order (TPTP FOF).
% 7.39/4.13 % [INFO] Type checking passed.
% 7.39/4.13 % [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 ...
% 8.72/4.86 % External prover 'e' found a proof!
% 8.72/4.86 % [INFO] Killing All external provers ...
% 8.72/4.86 % Time passed: 4304ms (effective reasoning time: 2369ms)
% 8.72/4.86 % 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)>
% 8.72/4.86 % Axioms used in derivation (1): conj_0
% 8.72/4.86 % No. of inferences in proof: 6
% 8.72/4.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4304 ms resp. 2369 ms w/o parsing
% 8.88/4.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.88/4.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------