TSTP Solution File: SYN386^5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN386^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 21 08:11:51 EDT 2024
% Result : Theorem 2.61s 1.61s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 101 ( 2 ~; 0 |; 9 &; 72 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 51 ( 0 ^ 33 !; 18 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(cD_type,type,
cD: $i > $i > $i > $o ).
thf(cF_type,type,
cF: $i > $i > $o ).
thf(cS_type,type,
cS: $i > $i > $o ).
thf(1,conjecture,
( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2138) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
? [B: $i] : ( cF @ A @ B )
& ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ( cD @ D @ A @ B ) )
& ! [A: $i] :
? [B: $i] :
! [C: $i,D: $i] :
( ( cD @ C @ D @ B )
=> ! [E: $i,F: $i] :
( ( ( cF @ C @ E )
& ( cF @ D @ F ) )
=> ( cD @ E @ F @ A ) ) ) )
=> ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
( ( cS @ C @ D )
=> ! [E: $i] :
( ( cF @ D @ E )
=> ( cD @ E @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN386^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 13:40:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/0.96 % [INFO] Parsing done (98ms).
% 1.27/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.17 % [INFO] eprover registered as external prover.
% 1.61/1.17 % [INFO] cvc4 registered as external prover.
% 1.61/1.17 % [INFO] Scanning for conjecture ...
% 1.71/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.26 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.26 % [INFO] Type checking passed.
% 1.88/1.26 % [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 ...
% 2.61/1.60 % External prover 'e' found a proof!
% 2.61/1.61 % [INFO] Killing All external provers ...
% 2.61/1.61 % Time passed: 1076ms (effective reasoning time: 632ms)
% 2.61/1.61 % 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)>
% 2.61/1.61 % Axioms used in derivation (0):
% 2.61/1.61 % No. of inferences in proof: 4
% 2.61/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1076 ms resp. 632 ms w/o parsing
% 2.92/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/1.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------