%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 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 : n017.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 9.05s 3.79s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 0 &; 45 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Hoare__Mirabelle_Ohoare__derivs_decl,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(t_a_decl,type,
t_a: $i ).
thf(v_Ga_decl,type,
v_Ga: $i ).
thf(v_ts_decl,type,
v_ts: $i ).
thf(v_G_H_decl,type,
v_G_H: $i ).
thf(v_G_decl,type,
v_G: $i ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( C @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) )
=> ( ( C @ ( A @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) )
=> ( B @ ( A @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
thf(10,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( C @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) )
=> ( ( C @ ( A @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) )
=> ( B @ ( A @ ( D @ c_Hoare__Mirabelle_Ohoare__derivs ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
v_G_H @ ( v_G @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(9,plain,
v_G_H @ ( v_G @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
v_G_H @ ( v_Ga @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(12,plain,
v_G_H @ ( v_Ga @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
v_ts @ ( v_Ga @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(2,negated_conjecture,
~ ( v_ts @ ( v_Ga @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( v_ts @ ( v_Ga @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
v_ts @ ( v_G_H @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(8,plain,
v_ts @ ( v_G_H @ ( t_a @ c_Hoare__Mirabelle_Ohoare__derivs ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[10,9,12,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 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
% 0.15/0.41 % Computer : n017.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 15:34:20 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.88/1.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 4.14/2.04 % [INFO] Parsing done (1018ms).
% 4.14/2.05 % [INFO] Running in sequential loop mode.
% 4.81/2.43 % [INFO] eprover registered as external prover.
% 4.81/2.44 % [INFO] Scanning for conjecture ...
% 7.27/3.13 % [INFO] Found a conjecture (or negated_conjecture) and 5230 axioms. Running axiom selection ...
% 7.61/3.24 % [INFO] Axiom selection finished. Selected 4 axioms (removed 5226 axioms).
% 7.61/3.26 % [INFO] Problem is first-order (TPTP FOF).
% 7.61/3.26 % [INFO] Type checking passed.
% 7.61/3.27 % [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 ...
% 9.05/3.79 % External prover 'e' found a proof!
% 9.05/3.79 % [INFO] Killing All external provers ...
% 9.05/3.79 % Time passed: 3235ms (effective reasoning time: 1729ms)
% 9.05/3.79 % 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)>
% 9.05/3.79 % Axioms used in derivation (4): fact_cut, conj_2, conj_4, conj_0
% 9.05/3.79 % No. of inferences in proof: 12
% 9.05/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3235 ms resp. 1729 ms w/o parsing
% 9.40/3.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.40/3.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------