TSTP Solution File: SWW345+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Fri May 19 12:23:34 EDT 2023
% Result : Theorem 5.42s 2.26s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of formulae : 25 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 2 ~; 0 |; 0 &; 58 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 8 con; 0-4 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_R_type,type,
v_R: $i > $i > $o ).
thf(v_Z_type,type,
v_Z: $i ).
thf(v_s_H_type,type,
v_s_H: $i ).
thf(c_Natural_Oevaln_type,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(v_c_type,type,
v_c: $i ).
thf(v_s_type,type,
v_s: $i ).
thf(v_n_type,type,
v_n: $i ).
thf(v_s1_type,type,
v_s1: $i ).
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(v_Q_type,type,
v_Q: $i > $i > $o ).
thf(v_d_type,type,
v_d: $i ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ! [C: $i] :
( ( c_Natural_Oevaln @ v_c @ B @ v_n @ C )
=> ( v_Q @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(10,plain,
! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ! [C: $i] :
( ( c_Natural_Oevaln @ v_c @ B @ v_n @ C )
=> ( v_Q @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
c_Natural_Oevaln @ v_d @ v_s1 @ v_n @ v_s_H,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(14,plain,
c_Natural_Oevaln @ v_d @ v_s1 @ v_n @ v_s_H,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
c_Natural_Oevaln @ v_c @ v_s @ v_n @ v_s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(9,plain,
c_Natural_Oevaln @ v_c @ v_s @ v_n @ v_s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( v_Q @ A @ B )
=> ! [C: $i] :
( ( c_Natural_Oevaln @ v_d @ B @ v_n @ C )
=> ( v_R @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(12,plain,
! [A: $i,B: $i] :
( ( v_Q @ A @ B )
=> ! [C: $i] :
( ( c_Natural_Oevaln @ v_d @ B @ v_n @ C )
=> ( v_R @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
v_R @ v_Z @ v_s_H,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
thf(2,negated_conjecture,
~ ( v_R @ v_Z @ v_s_H ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( v_R @ v_Z @ v_s_H ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
v_P @ v_Z @ v_s,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
thf(15,plain,
v_P @ v_Z @ v_s,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[10,14,9,12,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 22:28:56 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.73/1.34 % [INFO] Parsing done (496ms).
% 2.73/1.35 % [INFO] Running in sequential loop mode.
% 3.05/1.54 % [INFO] eprover registered as external prover.
% 3.05/1.54 % [INFO] cvc4 registered as external prover.
% 3.05/1.54 % [INFO] Scanning for conjecture ...
% 4.36/1.90 % [INFO] Found a conjecture and 5210 axioms. Running axiom selection ...
% 4.78/1.97 % [INFO] Axiom selection finished. Selected 5 axioms (removed 5205 axioms).
% 4.78/1.98 % [INFO] Problem is first-order (TPTP FOF).
% 4.78/1.99 % [INFO] Type checking passed.
% 4.78/1.99 % [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 ...
% 5.42/2.26 % External prover 'e' found a proof!
% 5.42/2.26 % [INFO] Killing All external provers ...
% 5.42/2.26 % Time passed: 1736ms (effective reasoning time: 902ms)
% 5.42/2.26 % 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)>
% 5.42/2.26 % Axioms used in derivation (5): conj_3, conj_2, conj_1, conj_4, conj_5
% 5.42/2.26 % No. of inferences in proof: 14
% 5.42/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1736 ms resp. 902 ms w/o parsing
% 5.76/2.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.76/2.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------