TSTP Solution File: SWW314+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 08:23:57 EDT 2024
% Result : Theorem 5.64s 2.49s
% Output : Refutation 6.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 10 unt; 6 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 : 3 ( 3 >; 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_type,type,
c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).
thf(t_a_type,type,
t_a: $i ).
thf(v_Ga_type,type,
v_Ga: $i ).
thf(v_ts_type,type,
v_ts: $i ).
thf(v_G_H_type,type,
v_G_H: $i ).
thf(v_G_type,type,
v_G: $i ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ C @ B )
=> ( ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ A @ C )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
thf(10,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ C @ B )
=> ( ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ A @ C )
=> ( c_Hoare__Mirabelle_Ohoare__derivs @ D @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ v_G_H,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(9,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ v_G_H,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_G_H,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(12,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_G_H,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(2,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G_H @ v_ts,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(8,plain,
c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G_H @ v_ts,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
$false,
inference(cvc4,[status(thm)],[10,9,12,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n015.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 15:03:24 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.80/1.43 % [INFO] Parsing done (558ms).
% 2.80/1.45 % [INFO] Running in sequential loop mode.
% 3.33/1.67 % [INFO] eprover registered as external prover.
% 3.33/1.67 % [INFO] cvc4 registered as external prover.
% 3.33/1.68 % [INFO] Scanning for conjecture ...
% 4.92/2.13 % [INFO] Found a conjecture and 5230 axioms. Running axiom selection ...
% 4.94/2.20 % [INFO] Axiom selection finished. Selected 4 axioms (removed 5226 axioms).
% 4.94/2.21 % [INFO] Problem is first-order (TPTP FOF).
% 4.94/2.21 % [INFO] Type checking passed.
% 4.94/2.21 % [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 ...
% 5.64/2.49 % External prover 'cvc4' found a proof!
% 5.64/2.49 % [INFO] Killing All external provers ...
% 5.64/2.49 % Time passed: 1963ms (effective reasoning time: 1039ms)
% 5.64/2.49 % 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)>
% 5.64/2.49 % Axioms used in derivation (4): fact_cut, conj_2, conj_4, conj_0
% 5.64/2.49 % No. of inferences in proof: 12
% 5.64/2.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1963 ms resp. 1039 ms w/o parsing
% 6.05/2.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.05/2.51 % [INFO] Killing All external provers ...
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