TSTP Solution File: SWW300+1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW300+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n017.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 18:24:53 EDT 2024
% Result : Theorem 6.68s 2.62s
% Output : Refutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 12 ~; 4 |; 0 &; 60 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(v_P_H_type,type,
v_P_H: $i > $i > $o ).
thf(v_Q_type,type,
v_Q: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ( v_P_H @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(8,plain,
! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ( v_P_H @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ~ ( v_P @ A @ B )
| ( v_P_H @ A @ B ) ),
inference(cnf,[status(esa)],[8]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ! [C: $i] :
( ! [D: $i] :
( ( v_P_H @ D @ B )
=> ( v_Q @ D @ C ) )
=> ( v_Q @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ! [C: $i] :
( ! [D: $i] :
( ( v_P_H @ D @ B )
=> ( v_Q @ D @ C ) )
=> ( v_Q @ A @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i] :
( ( v_P @ A @ B )
=> ! [C: $i] :
( ! [D: $i] :
( ( v_P_H @ D @ B )
=> ( v_Q @ D @ C ) )
=> ( v_Q @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
! [A: $i] :
( ~ ( v_P_H @ A @ sk2 )
| ( v_Q @ A @ sk3 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
~ ( v_Q @ sk1 @ sk3 ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
! [A: $i] :
( ~ ( v_P_H @ A @ sk2 )
| ( ( v_Q @ A @ sk3 )
!= ( v_Q @ sk1 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[6,5]) ).
thf(11,plain,
~ ( v_P_H @ sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( sk1 ))]]) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( v_P @ A @ B )
| ( ( v_P_H @ A @ B )
!= ( v_P_H @ sk1 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[9,11]) ).
thf(17,plain,
~ ( v_P @ sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[16:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(7,plain,
v_P @ sk1 @ sk2,
inference(cnf,[status(esa)],[4]) ).
thf(18,plain,
~ $true,
inference(rewrite,[status(thm)],[17,7]) ).
thf(19,plain,
$false,
inference(simp,[status(thm)],[18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWW300+1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.11 % Command : run_Leo-III %s %d SAT
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Jun 19 07:47:25 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.79/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.72/1.42 % [INFO] Parsing done (619ms).
% 2.89/1.43 % [INFO] Running in sequential loop mode.
% 3.24/1.65 % [INFO] nitpick registered as external prover.
% 3.24/1.66 % [INFO] Scanning for conjecture ...
% 4.93/2.07 % [INFO] Found a conjecture (or negated_conjecture) and 5241 axioms. Running axiom selection ...
% 4.93/2.15 % [INFO] Axiom selection finished. Selected 1 axioms (removed 5240 axioms).
% 4.93/2.16 % [INFO] Problem is first-order (TPTP FOF).
% 5.28/2.16 % [INFO] Type checking passed.
% 5.28/2.16 % [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 ...
% 6.68/2.62 % [INFO] Killing All external provers ...
% 6.68/2.62 % Time passed: 2158ms (effective reasoning time: 1185ms)
% 6.68/2.62 % 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)>
% 6.68/2.62 % Axioms used in derivation (1): conj_0
% 6.68/2.62 % No. of inferences in proof: 15
% 6.68/2.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2158 ms resp. 1185 ms w/o parsing
% 6.68/2.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.68/2.65 % [INFO] Killing All external provers ...
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