TSTP Solution File: SWW344+1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SWW344+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 : Mon Jun 24 18:22:12 EDT 2024
% Result : Theorem 6.43s 3.07s
% Output : Refutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 10 unt; 0 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 : 0 ( 0 >; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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
% 0.02/0.09 % Problem : SWW344+1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.09 % Command : run_Leo-III %s %d THM
% 0.08/0.28 % Computer : n004.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Jun 19 04:20:55 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.94/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.00/1.67 % [INFO] Parsing done (770ms).
% 3.00/1.68 % [INFO] Running in sequential loop mode.
% 3.58/2.01 % [INFO] eprover registered as external prover.
% 3.58/2.02 % [INFO] Scanning for conjecture ...
% 5.31/2.58 % [INFO] Found a conjecture (or negated_conjecture) and 5210 axioms. Running axiom selection ...
% 5.86/2.71 % [INFO] Axiom selection finished. Selected 5 axioms (removed 5205 axioms).
% 5.86/2.73 % [INFO] Problem is first-order (TPTP FOF).
% 5.86/2.73 % [INFO] Type checking passed.
% 5.86/2.74 % [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 ...
% 6.43/3.07 % External prover 'e' found a proof!
% 6.43/3.07 % [INFO] Killing All external provers ...
% 6.43/3.07 % Time passed: 2623ms (effective reasoning time: 1384ms)
% 6.43/3.07 % 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)>
% 6.43/3.07 % Axioms used in derivation (5): conj_3, conj_2, conj_1, conj_4, conj_5
% 6.43/3.07 % No. of inferences in proof: 14
% 6.43/3.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2623 ms resp. 1384 ms w/o parsing
% 7.32/3.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.32/3.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------