TSTP Solution File: SYN548+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 12:29:15 EDT 2023
% Result : Theorem 16.92s 3.75s
% Output : Refutation 16.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 47 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 117 ( 2 ~; 8 |; 6 &; 76 @)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 27 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(reachable_type,type,
reachable: $i > $i > $o ).
thf(initial_world_type,type,
initial_world: $i ).
thf(p_type,type,
p: $i > $o ).
thf(q_type,type,
q: $i > $o ).
thf(1,conjecture,
? [A: $i] :
( ( reachable @ initial_world @ A )
& ! [B: $i] :
( ( reachable @ A @ B )
=> ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( ( p @ C )
| ! [D: $i] :
( ( reachable @ C @ D )
=> ( q @ D ) ) ) )
<=> ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( p @ C ) )
| ! [C: $i] :
( ( reachable @ B @ C )
=> ( q @ C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( reachable @ initial_world @ A )
& ! [B: $i] :
( ( reachable @ A @ B )
=> ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( ( p @ C )
| ! [D: $i] :
( ( reachable @ C @ D )
=> ( q @ D ) ) ) )
<=> ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( p @ C ) )
| ! [C: $i] :
( ( reachable @ B @ C )
=> ( q @ C ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ? [A: $i] :
( ( reachable @ initial_world @ A )
& ! [B: $i] :
( ( reachable @ A @ B )
=> ( ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( ( p @ C )
| ! [D: $i] :
( ( reachable @ C @ D )
=> ( q @ D ) ) ) )
=> ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( p @ C ) )
| ! [C: $i] :
( ( reachable @ B @ C )
=> ( q @ C ) ) ) )
& ( ( ! [C: $i] :
( ( reachable @ B @ C )
=> ( p @ C ) )
| ! [C: $i] :
( ( reachable @ B @ C )
=> ( q @ C ) ) )
=> ! [C: $i] :
( ( reachable @ B @ C )
=> ( ( p @ C )
| ! [D: $i] :
( ( reachable @ C @ D )
=> ( q @ D ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( reachable @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).
thf(18,plain,
! [A: $i] : ( reachable @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( reachable @ A @ B )
& ( reachable @ B @ C ) )
=> ( reachable @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).
thf(20,plain,
! [A: $i,B: $i,C: $i] :
( ( ( reachable @ A @ B )
& ( reachable @ B @ C ) )
=> ( reachable @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2683,plain,
$false,
inference(cvc4,[status(thm)],[5,18,20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n026.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu May 18 19:56:36 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.99 % [INFO] Parsing done (111ms).
% 1.15/1.00 % [INFO] Running in sequential loop mode.
% 1.68/1.21 % [INFO] eprover registered as external prover.
% 1.68/1.21 % [INFO] cvc4 registered as external prover.
% 1.78/1.22 % [INFO] Scanning for conjecture ...
% 1.84/1.27 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.84/1.30 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.84/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 1.84/1.31 % [INFO] Type checking passed.
% 1.84/1.31 % [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 ...
% 16.92/3.75 % External prover 'cvc4' found a proof!
% 16.92/3.75 % [INFO] Killing All external provers ...
% 16.92/3.75 % Time passed: 3211ms (effective reasoning time: 2746ms)
% 16.92/3.75 % 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)>
% 16.92/3.75 % Axioms used in derivation (2): reflexivity_of_reachable, transitivity_of_reachable
% 16.92/3.75 % No. of inferences in proof: 8
% 16.92/3.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3211 ms resp. 2746 ms w/o parsing
% 16.92/3.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.92/3.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------