TSTP Solution File: SYN066+1 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 08:27:18 EDT 2024
% Result : Theorem 2.56s 1.70s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 4 ~; 0 |; 4 &; 42 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 13 !; 15 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_type,type,
big_r: $i > $i > $o ).
thf(big_p_type,type,
big_p: $i > $i > $o ).
thf(big_q_type,type,
big_q: $i > $i > $o ).
thf(1,conjecture,
! [A: $i] :
? [B: $i] : ( big_r @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
? [B: $i] : ( big_r @ A @ B ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i] :
? [B: $i] : ( big_r @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
? [B: $i] :
! [C: $i] :
? [D: $i] :
( ( ( big_p @ C @ A )
=> ( big_p @ D @ B ) )
& ( big_p @ D @ A )
& ( ( big_p @ D @ B )
=> ? [E: $i] : ( big_q @ E @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_1) ).
thf(8,plain,
! [A: $i] :
? [B: $i] :
! [C: $i] :
? [D: $i] :
( ( ( big_p @ C @ A )
=> ( big_p @ D @ B ) )
& ( big_p @ D @ A )
& ( ( big_p @ D @ B )
=> ? [E: $i] : ( big_q @ E @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( big_p @ A @ B )
=> ? [C: $i] : ( big_q @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_2) ).
thf(12,plain,
! [A: $i,B: $i] :
( ~ ( big_p @ A @ B )
=> ? [C: $i] : ( big_q @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( ? [A: $i,B: $i] : ( big_q @ A @ B )
=> ! [A: $i] : ( big_r @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_3) ).
thf(14,plain,
( ? [A: $i,B: $i] : ( big_q @ A @ B )
=> ! [A: $i] : ( big_r @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[6,8,12,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 6 13:49:54 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.99/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.04 % [INFO] Parsing done (123ms).
% 1.28/1.05 % [INFO] Running in sequential loop mode.
% 1.63/1.27 % [INFO] eprover registered as external prover.
% 1.63/1.28 % [INFO] cvc4 registered as external prover.
% 1.63/1.28 % [INFO] Scanning for conjecture ...
% 1.81/1.33 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.81/1.35 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.81/1.36 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.37 % [INFO] Type checking passed.
% 1.96/1.37 % [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 ...
% 2.56/1.69 % External prover 'e' found a proof!
% 2.56/1.69 % [INFO] Killing All external provers ...
% 2.56/1.70 % Time passed: 1184ms (effective reasoning time: 645ms)
% 2.56/1.70 % 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)>
% 2.56/1.70 % Axioms used in derivation (3): pel37_1, pel37_2, pel37_3
% 2.56/1.70 % No. of inferences in proof: 10
% 2.56/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1184 ms resp. 645 ms w/o parsing
% 2.84/1.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.84/1.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------